AGARD Working Group 21 data base - October 97 CASE PCH05 Direct numerical simulation of a pipe rotating along the axis: Re_b = U_b * D / nu = 4900 Rotation number N = Omega * R / U_b = 0, 0.5, 1 , 2 ################################################################################## # # N=0 # mean values ################################################################################## 1-r (1-r)^+ V_theta V_r V_z (V_z)^+ P 0.9990E+00 0.1698E+03 -0.42472E-05 -0.84352E-14 0.64834E+00 0.18692E+02 -0.27989E-01 0.9968E+00 0.1694E+03 -0.13607E-04 -0.12457E-13 0.64834E+00 0.18692E+02 -0.27999E-01 0.9944E+00 0.1690E+03 -0.24316E-04 -0.65754E-14 0.64833E+00 0.18692E+02 -0.28002E-01 0.9918E+00 0.1686E+03 -0.36127E-04 -0.43784E-14 0.64832E+00 0.18692E+02 -0.28007E-01 0.9890E+00 0.1681E+03 -0.49053E-04 -0.32159E-14 0.64831E+00 0.18692E+02 -0.28013E-01 0.9858E+00 0.1675E+03 -0.63122E-04 -0.24957E-14 0.64830E+00 0.18691E+02 -0.28020E-01 0.9824E+00 0.1670E+03 -0.78348E-04 -0.20003E-14 0.64828E+00 0.18690E+02 -0.28029E-01 0.9787E+00 0.1663E+03 -0.94715E-04 -0.16503E-14 0.64825E+00 0.18690E+02 -0.28040E-01 0.9746E+00 0.1656E+03 -0.11217E-03 -0.13846E-14 0.64821E+00 0.18689E+02 -0.28054E-01 0.9702E+00 0.1649E+03 -0.13059E-03 -0.11758E-14 0.64816E+00 0.18687E+02 -0.28071E-01 0.9654E+00 0.1641E+03 -0.14979E-03 -0.10111E-14 0.64810E+00 0.18685E+02 -0.28092E-01 0.9602E+00 0.1632E+03 -0.16944E-03 -0.88031E-15 0.64803E+00 0.18683E+02 -0.28117E-01 0.9546E+00 0.1622E+03 -0.18911E-03 -0.76895E-15 0.64793E+00 0.18681E+02 -0.28148E-01 0.9485E+00 0.1612E+03 -0.20814E-03 -0.67611E-15 0.64782E+00 0.18677E+02 -0.28184E-01 0.9420E+00 0.1601E+03 -0.22569E-03 -0.60107E-15 0.64768E+00 0.18673E+02 -0.28226E-01 0.9349E+00 0.1589E+03 -0.24068E-03 -0.53541E-15 0.64752E+00 0.18669E+02 -0.28275E-01 0.9274E+00 0.1576E+03 -0.25186E-03 -0.47728E-15 0.64732E+00 0.18663E+02 -0.28331E-01 0.9193E+00 0.1562E+03 -0.25792E-03 -0.42620E-15 0.64708E+00 0.18656E+02 -0.28393E-01 0.9107E+00 0.1548E+03 -0.25769E-03 -0.38512E-15 0.64679E+00 0.18648E+02 -0.28461E-01 0.9016E+00 0.1532E+03 -0.25042E-03 -0.34851E-15 0.64646E+00 0.18638E+02 -0.28535E-01 0.8919E+00 0.1516E+03 -0.23605E-03 -0.31355E-15 0.64607E+00 0.18627E+02 -0.28616E-01 0.8817E+00 0.1499E+03 -0.21541E-03 -0.28777E-15 0.64561E+00 0.18614E+02 -0.28703E-01 0.8710E+00 0.1480E+03 -0.19023E-03 -0.26299E-15 0.64509E+00 0.18599E+02 -0.28797E-01 0.8598E+00 0.1461E+03 -0.16294E-03 -0.23973E-15 0.64449E+00 0.18581E+02 -0.28900E-01 0.8481E+00 0.1441E+03 -0.13608E-03 -0.22163E-15 0.64381E+00 0.18562E+02 -0.29013E-01 0.8360E+00 0.1421E+03 -0.11166E-03 -0.20625E-15 0.64305E+00 0.18540E+02 -0.29139E-01 0.8235E+00 0.1400E+03 -0.90923E-04 -0.19137E-15 0.64222E+00 0.18516E+02 -0.29279E-01 0.8106E+00 0.1378E+03 -0.75070E-04 -0.17527E-15 0.64131E+00 0.18490E+02 -0.29433E-01 0.7975E+00 0.1355E+03 -0.66505E-04 -0.16725E-15 0.64033E+00 0.18461E+02 -0.29600E-01 0.7841E+00 0.1333E+03 -0.69171E-04 -0.15771E-15 0.63927E+00 0.18431E+02 -0.29780E-01 0.7705E+00 0.1310E+03 -0.87785E-04 -0.15103E-15 0.63813E+00 0.18398E+02 -0.29971E-01 0.7569E+00 0.1286E+03 -0.12686E-03 -0.14314E-15 0.63691E+00 0.18363E+02 -0.30171E-01 0.7431E+00 0.1263E+03 -0.18966E-03 -0.13691E-15 0.63562E+00 0.18326E+02 -0.30380E-01 0.7295E+00 0.1240E+03 -0.27701E-03 -0.12726E-15 0.63426E+00 0.18286E+02 -0.30598E-01 0.7159E+00 0.1217E+03 -0.38666E-03 -0.12393E-15 0.63283E+00 0.18245E+02 -0.30822E-01 0.7025E+00 0.1194E+03 -0.51361E-03 -0.11572E-15 0.63136E+00 0.18203E+02 -0.31053E-01 0.6894E+00 0.1172E+03 -0.65101E-03 -0.11095E-15 0.62984E+00 0.18159E+02 -0.31290E-01 0.6765E+00 0.1150E+03 -0.79160E-03 -0.10873E-15 0.62829E+00 0.18114E+02 -0.31534E-01 0.6640E+00 0.1128E+03 -0.92918E-03 -0.10387E-15 0.62672E+00 0.18069E+02 -0.31781E-01 0.6519E+00 0.1108E+03 -0.10592E-02 -0.98991E-16 0.62515E+00 0.18024E+02 -0.32029E-01 0.6402E+00 0.1088E+03 -0.11785E-02 -0.97078E-16 0.62358E+00 0.17978E+02 -0.32276E-01 0.6290E+00 0.1069E+03 -0.12850E-02 -0.92510E-16 0.62203E+00 0.17934E+02 -0.32519E-01 0.6183E+00 0.1051E+03 -0.13775E-02 -0.90188E-16 0.62050E+00 0.17890E+02 -0.32753E-01 0.6081E+00 0.1033E+03 -0.14554E-02 -0.87976E-16 0.61901E+00 0.17847E+02 -0.32977E-01 0.5984E+00 0.1017E+03 -0.15189E-02 -0.85607E-16 0.61756E+00 0.17805E+02 -0.33190E-01 0.5893E+00 0.1002E+03 -0.15693E-02 -0.81702E-16 0.61617E+00 0.17765E+02 -0.33390E-01 0.5807E+00 0.9869E+02 -0.16082E-02 -0.80550E-16 0.61482E+00 0.17726E+02 -0.33577E-01 0.5726E+00 0.9732E+02 -0.16376E-02 -0.77166E-16 0.61353E+00 0.17689E+02 -0.33751E-01 0.5651E+00 0.9604E+02 -0.16592E-02 -0.75966E-16 0.61231E+00 0.17653E+02 -0.33913E-01 0.5580E+00 0.9484E+02 -0.16747E-02 -0.75212E-16 0.61114E+00 0.17620E+02 -0.34062E-01 0.5515E+00 0.9373E+02 -0.16852E-02 -0.74476E-16 0.61004E+00 0.17588E+02 -0.34200E-01 0.5454E+00 0.9270E+02 -0.16918E-02 -0.71623E-16 0.60901E+00 0.17558E+02 -0.34326E-01 0.5398E+00 0.9174E+02 -0.16953E-02 -0.69258E-16 0.60804E+00 0.17530E+02 -0.34443E-01 0.5346E+00 0.9086E+02 -0.16964E-02 -0.69687E-16 0.60713E+00 0.17504E+02 -0.34550E-01 0.5298E+00 0.9004E+02 -0.16956E-02 -0.67899E-16 0.60629E+00 0.17480E+02 -0.34648E-01 0.5254E+00 0.8929E+02 -0.16935E-02 -0.66608E-16 0.60551E+00 0.17457E+02 -0.34738E-01 0.5213E+00 0.8860E+02 -0.16905E-02 -0.67366E-16 0.60478E+00 0.17437E+02 -0.34821E-01 0.5176E+00 0.8797E+02 -0.16869E-02 -0.67410E-16 0.60411E+00 0.17417E+02 -0.34896E-01 0.5142E+00 0.8739E+02 -0.16829E-02 -0.65516E-16 0.60349E+00 0.17399E+02 -0.34965E-01 0.5110E+00 0.8685E+02 -0.16788E-02 -0.64037E-16 0.60292E+00 0.17383E+02 -0.35028E-01 0.5082E+00 0.8637E+02 -0.16746E-02 -0.63211E-16 0.60240E+00 0.17368E+02 -0.35086E-01 0.5056E+00 0.8593E+02 -0.16706E-02 -0.63353E-16 0.60192E+00 0.17354E+02 -0.35138E-01 0.5032E+00 0.8552E+02 -0.16667E-02 -0.63096E-16 0.60148E+00 0.17341E+02 -0.35185E-01 0.5010E+00 0.8515E+02 -0.16631E-02 -0.62535E-16 0.60108E+00 0.17330E+02 -0.35229E-01 0.4990E+00 0.8480E+02 -0.16595E-02 -0.61945E-16 0.60069E+00 0.17319E+02 -0.35270E-01 0.4968E+00 0.8443E+02 -0.16556E-02 -0.62561E-16 0.60029E+00 0.17307E+02 -0.35312E-01 0.4944E+00 0.8403E+02 -0.16513E-02 -0.62211E-16 0.59984E+00 0.17294E+02 -0.35358E-01 0.4918E+00 0.8359E+02 -0.16465E-02 -0.60476E-16 0.59935E+00 0.17280E+02 -0.35409E-01 0.4890E+00 0.8310E+02 -0.16411E-02 -0.59816E-16 0.59881E+00 0.17264E+02 -0.35463E-01 0.4858E+00 0.8257E+02 -0.16351E-02 -0.60895E-16 0.59821E+00 0.17247E+02 -0.35523E-01 0.4824E+00 0.8199E+02 -0.16284E-02 -0.59846E-16 0.59755E+00 0.17228E+02 -0.35587E-01 0.4787E+00 0.8136E+02 -0.16211E-02 -0.59853E-16 0.59683E+00 0.17207E+02 -0.35656E-01 0.4746E+00 0.8067E+02 -0.16130E-02 -0.57905E-16 0.59604E+00 0.17184E+02 -0.35730E-01 0.4702E+00 0.7992E+02 -0.16041E-02 -0.57497E-16 0.59517E+00 0.17159E+02 -0.35808E-01 0.4654E+00 0.7910E+02 -0.15942E-02 -0.55756E-16 0.59422E+00 0.17132E+02 -0.35891E-01 0.4602E+00 0.7822E+02 -0.15830E-02 -0.54789E-16 0.59318E+00 0.17102E+02 -0.35977E-01 0.4546E+00 0.7726E+02 -0.15703E-02 -0.55771E-16 0.59204E+00 0.17069E+02 -0.36065E-01 0.4485E+00 0.7623E+02 -0.15556E-02 -0.53635E-16 0.59080E+00 0.17033E+02 -0.36154E-01 0.4420E+00 0.7511E+02 -0.15380E-02 -0.54832E-16 0.58944E+00 0.16994E+02 -0.36243E-01 0.4349E+00 0.7392E+02 -0.15168E-02 -0.51485E-16 0.58796E+00 0.16952E+02 -0.36329E-01 0.4274E+00 0.7263E+02 -0.14911E-02 -0.51513E-16 0.58635E+00 0.16905E+02 -0.36408E-01 0.4193E+00 0.7126E+02 -0.14599E-02 -0.51860E-16 0.58460E+00 0.16855E+02 -0.36477E-01 0.4107E+00 0.6980E+02 -0.14224E-02 -0.50252E-16 0.58269E+00 0.16800E+02 -0.36530E-01 0.4016E+00 0.6825E+02 -0.13781E-02 -0.48404E-16 0.58062E+00 0.16740E+02 -0.36563E-01 0.3919E+00 0.6661E+02 -0.13266E-02 -0.47134E-16 0.57836E+00 0.16675E+02 -0.36571E-01 0.3817E+00 0.6488E+02 -0.12686E-02 -0.46318E-16 0.57591E+00 0.16604E+02 -0.36549E-01 0.3710E+00 0.6306E+02 -0.12057E-02 -0.44617E-16 0.57325E+00 0.16528E+02 -0.36489E-01 0.3598E+00 0.6115E+02 -0.11410E-02 -0.43351E-16 0.57038E+00 0.16445E+02 -0.36387E-01 0.3481E+00 0.5917E+02 -0.10780E-02 -0.40015E-16 0.56727E+00 0.16355E+02 -0.36231E-01 0.3360E+00 0.5711E+02 -0.10207E-02 -0.38813E-16 0.56393E+00 0.16259E+02 -0.36009E-01 0.3235E+00 0.5498E+02 -0.97268E-03 -0.36139E-16 0.56033E+00 0.16155E+02 -0.35700E-01 0.3106E+00 0.5280E+02 -0.93549E-03 -0.33385E-16 0.55647E+00 0.16044E+02 -0.35280E-01 0.2975E+00 0.5056E+02 -0.90840E-03 -0.33817E-16 0.55232E+00 0.15924E+02 -0.34716E-01 0.2841E+00 0.4828E+02 -0.88840E-03 -0.31383E-16 0.54785E+00 0.15795E+02 -0.33972E-01 0.2705E+00 0.4598E+02 -0.86936E-03 -0.29523E-16 0.54305E+00 0.15657E+02 -0.33011E-01 0.2569E+00 0.4365E+02 -0.84296E-03 -0.24986E-16 0.53788E+00 0.15508E+02 -0.31806E-01 0.2431E+00 0.4132E+02 -0.79881E-03 -0.22773E-16 0.53230E+00 0.15347E+02 -0.30342E-01 0.2295E+00 0.3900E+02 -0.72566E-03 -0.20103E-16 0.52627E+00 0.15173E+02 -0.28610E-01 0.2159E+00 0.3669E+02 -0.61779E-03 -0.17897E-16 0.51974E+00 0.14985E+02 -0.26614E-01 0.2025E+00 0.3442E+02 -0.47890E-03 -0.15382E-16 0.51264E+00 0.14780E+02 -0.24363E-01 0.1894E+00 0.3218E+02 -0.31990E-03 -0.13082E-16 0.50489E+00 0.14557E+02 -0.21872E-01 0.1765E+00 0.3000E+02 -0.15416E-03 -0.10025E-16 0.49640E+00 0.14312E+02 -0.19162E-01 0.1640E+00 0.2787E+02 0.71328E-05 -0.84129E-17 0.48704E+00 0.14042E+02 -0.16266E-01 0.1519E+00 0.2581E+02 0.15664E-03 -0.74376E-17 0.47669E+00 0.13744E+02 -0.13230E-01 0.1402E+00 0.2382E+02 0.29036E-03 -0.53141E-17 0.46521E+00 0.13412E+02 -0.10116E-01 0.1290E+00 0.2192E+02 0.40699E-03 -0.41824E-17 0.45245E+00 0.13045E+02 -0.69924E-02 0.1183E+00 0.2010E+02 0.50627E-03 -0.24090E-17 0.43829E+00 0.12636E+02 -0.39286E-02 0.1081E+00 0.1837E+02 0.58688E-03 -0.13639E-17 0.42261E+00 0.12184E+02 -0.99386E-03 0.8929E-01 0.1517E+02 0.68579E-03 0.25208E-18 0.38643E+00 0.11141E+02 0.42691E-02 0.8069E-01 0.1371E+02 0.70290E-03 0.95484E-18 0.36590E+00 0.10549E+02 0.65289E-02 0.7263E-01 0.1234E+02 0.69936E-03 0.12043E-17 0.34384E+00 0.99134E+01 0.85202E-02 0.6508E-01 0.1106E+02 0.67753E-03 0.12727E-17 0.32044E+00 0.92385E+01 0.10241E-01 0.5804E-01 0.9865E+01 0.64096E-03 0.13642E-17 0.29592E+00 0.85316E+01 0.11697E-01 0.5149E-01 0.8751E+01 0.59377E-03 0.11007E-17 0.27061E+00 0.78021E+01 0.12903E-01 0.4541E-01 0.7718E+01 0.54002E-03 0.10496E-17 0.24489E+00 0.70605E+01 0.13879E-01 0.3978E-01 0.6761E+01 0.48316E-03 0.81696E-18 0.21916E+00 0.63185E+01 0.14649E-01 0.3458E-01 0.5877E+01 0.42589E-03 0.65735E-18 0.19380E+00 0.55874E+01 0.15241E-01 0.2978E-01 0.5062E+01 0.37011E-03 0.53519E-18 0.16917E+00 0.48773E+01 0.15681E-01 0.2537E-01 0.4311E+01 0.31698E-03 0.34078E-18 0.14557E+00 0.41969E+01 0.15996E-01 0.2131E-01 0.3621E+01 0.26714E-03 0.23895E-18 0.12321E+00 0.35523E+01 0.16213E-01 0.1758E-01 0.2988E+01 0.22083E-03 0.19033E-18 0.10224E+00 0.29477E+01 0.16355E-01 0.1417E-01 0.2408E+01 0.17809E-03 0.10659E-18 0.82726E-01 0.23851E+01 0.16441E-01 0.1104E-01 0.1877E+01 0.13883E-03 0.84432E-19 0.64675E-01 0.18647E+01 0.16490E-01 0.8189E-02 0.1392E+01 0.10288E-03 0.69152E-19 0.48056E-01 0.13855E+01 0.16515E-01 0.5581E-02 0.9485E+00 0.70060E-04 0.66964E-19 0.32807E-01 0.94585E+00 0.16526E-01 0.3202E-02 0.5442E+00 0.40158E-04 0.50224E-19 0.18848E-01 0.54341E+00 0.16529E-01 0.1034E-02 0.1757E+00 0.12955E-04 0.12272E-19 0.60933E-02 0.17568E+00 0.16530E-01 ################################################################################## # # N=0 # rms values (normal stresses) # NB: these values are scaled with the centerline axial velocity U_c ################################################################################## (1-r) (V_t')^2/U_c (V_r')^2/U_c (V_z')^2/U_c 0.9990E+00 0.0342644 0.0342706 0.0449008 0.9968E+00 0.0342336 0.0342629 0.0449008 0.9944E+00 0.0342228 0.034249 0.0449039 0.9918E+00 0.0342197 0.0342428 0.0449055 0.9890E+00 0.0342228 0.0342398 0.0449101 0.9858E+00 0.0342305 0.0342413 0.0449162 0.9824E+00 0.0342428 0.0342459 0.0449224 0.9787E+00 0.0342598 0.0342536 0.0449317 0.9746E+00 0.0342814 0.034266 0.0449425 0.9702E+00 0.0343107 0.0342814 0.0449564 0.9654E+00 0.0343462 0.034303 0.0449749 0.9602E+00 0.0343909 0.0343277 0.0449965 0.9546E+00 0.0344449 0.0343601 0.0450258 0.9485E+00 0.0345097 0.0344002 0.0450612 0.9420E+00 0.0345868 0.0344464 0.0451106 0.9349E+00 0.0346763 0.0345004 0.0451754 0.9274E+00 0.0347796 0.0345637 0.0452617 0.9193E+00 0.0348968 0.0346361 0.0453743 0.9107E+00 0.0350279 0.0347164 0.0455147 0.9016E+00 0.0351744 0.0348058 0.0456859 0.8919E+00 0.0353349 0.0349045 0.0458895 0.8817E+00 0.0355076 0.035011 0.0461224 0.8710E+00 0.0356911 0.0351266 0.0463862 0.8598E+00 0.0358809 0.0352516 0.0466823 0.8481E+00 0.0360721 0.0353858 0.0470139 0.8360E+00 0.0362588 0.0355277 0.0473841 0.8235E+00 0.0364423 0.0356773 0.0477944 0.8106E+00 0.0366289 0.0358361 0.0482463 0.7975E+00 0.0368248 0.0359996 0.048746 0.7841E+00 0.0370438 0.0361708 0.049292 0.7705E+00 0.0372983 0.0363513 0.0498782 0.7569E+00 0.0375914 0.0365379 0.0504982 0.7431E+00 0.0379292 0.0367338 0.0511475 0.7295E+00 0.0383101 0.0369405 0.0518324 0.7159E+00 0.0387358 0.0371549 0.0525527 0.7025E+00 0.039197 0.0373801 0.0533038 0.6894E+00 0.039686 0.037613 0.054075 0.6765E+00 0.0401903 0.0378551 0.0548555 0.6640E+00 0.0406978 0.0381019 0.0556359 0.6519E+00 0.0411975 0.0383518 0.0564071 0.6402E+00 0.0416772 0.0386032 0.0571583 0.6290E+00 0.0421322 0.03885 0.0578832 0.6183E+00 0.0425548 0.0390891 0.0585835 0.6081E+00 0.0429435 0.0393204 0.059259 0.5984E+00 0.0432983 0.0395394 0.0599084 0.5893E+00 0.0436191 0.0397477 0.0605331 0.5807E+00 0.0439075 0.039942 0.0611315 0.5726E+00 0.0441682 0.040124 0.0617037 0.5651E+00 0.0444057 0.0402937 0.0622482 0.5580E+00 0.0446216 0.0404495 0.0627649 0.5515E+00 0.0448206 0.0405944 0.0632523 0.5454E+00 0.0450026 0.0407286 0.0637119 0.5398E+00 0.0451723 0.0408505 0.0641407 0.5346E+00 0.0453281 0.0409646 0.0645418 0.5298E+00 0.0454731 0.041068 0.0649135 0.5254E+00 0.0456057 0.0411636 0.0652605 0.5213E+00 0.0457291 0.0412515 0.0655813 0.5176E+00 0.0458432 0.0413317 0.0658759 0.5142E+00 0.0459466 0.0414057 0.0661505 0.5110E+00 0.0460422 0.0414736 0.0664019 0.5082E+00 0.0461317 0.0415338 0.0666317 0.5056E+00 0.0462119 0.0415908 0.0668446 0.5032E+00 0.0462859 0.0416417 0.0670374 0.5010E+00 0.0463522 0.041688 0.0672147 0.4990E+00 0.046417 0.0417312 0.0673844 0.4968E+00 0.0464864 0.0417775 0.0675602 0.4944E+00 0.0465604 0.0418284 0.0677546 0.4918E+00 0.0466437 0.0418823 0.067969 0.4890E+00 0.0467347 0.0419425 0.068205 0.4858E+00 0.0468335 0.0420073 0.0684625 0.4824E+00 0.046943 0.0420782 0.0687448 0.4787E+00 0.0470617 0.0421554 0.0690517 0.4746E+00 0.0471913 0.0422386 0.0693864 0.4702E+00 0.0473316 0.0423281 0.0697489 0.4654E+00 0.0474859 0.0424222 0.0701438 0.4602E+00 0.047654 0.042524 0.070571 0.4546E+00 0.047836 0.042632 0.0710337 0.4485E+00 0.048035 0.0427445 0.0715381 0.4420E+00 0.0482494 0.0428633 0.0720856 0.4349E+00 0.0484807 0.0429852 0.0726825 0.4274E+00 0.0487275 0.0431101 0.0733334 0.4193E+00 0.0489882 0.043235 0.0740491 0.4107E+00 0.0492612 0.0433584 0.0748357 0.4016E+00 0.0495434 0.0434787 0.0757041 0.3919E+00 0.0498334 0.0435929 0.076665 0.3817E+00 0.0501296 0.0436978 0.0777247 0.3710E+00 0.0504272 0.0437918 0.0788907 0.3598E+00 0.0507265 0.043869 0.0801647 0.3481E+00 0.0510195 0.0439276 0.0815498 0.3360E+00 0.0513018 0.0439569 0.0830521 0.3235E+00 0.0515655 0.0439507 0.0846778 0.3106E+00 0.0518123 0.0438936 0.08643 0.2975E+00 0.0520421 0.0437687 0.0883225 0.2841E+00 0.052255 0.0435574 0.0903862 0.2705E+00 0.0524432 0.0432381 0.0926489 0.2569E+00 0.0525959 0.042797 0.0951322 0.2431E+00 0.0527007 0.0422186 0.0978576 0.2295E+00 0.0527547 0.0414952 0.100827 0.2159E+00 0.0527424 0.0406222 0.104006 0.2025E+00 0.0526468 0.0395934 0.107348 0.1894E+00 0.0524617 0.0384027 0.110806 0.1765E+00 0.0521871 0.0370469 0.11436 0.1640E+00 0.0518308 0.0355261 0.117994 0.1519E+00 0.051402 0.0338464 0.121669 0.1402E+00 0.0508807 0.0320218 0.1253 0.1290E+00 0.0502329 0.0300722 0.128763 0.1183E+00 0.0494216 0.0280254 0.131894 0.1081E+00 0.0484206 0.0259123 0.134516 0.9841E-01 0.0472191 0.0237638 0.136439 0.8929E-01 0.0458247 0.0216106 0.137474 0.8069E-01 0.0442499 0.019479 0.137429 0.7263E-01 0.0425132 0.0173906 0.13612 0.6508E-01 0.0406345 0.0153631 0.133393 0.5804E-01 0.0386294 0.0134186 0.129144 0.5149E-01 0.0365102 0.0115737 0.123337 0.4541E-01 0.034286 0.00984283 0.116027 0.3978E-01 0.0319632 0.00823765 0.107373 0.3458E-01 0.0295416 0.00676744 0.0976278 0.2978E-01 0.0270198 0.00543989 0.0871179 0.2537E-01 0.0243977 0.00426073 0.0762008 0.2131E-01 0.0216784 0.0032338 0.065225 0.1758E-01 0.0188728 0.00236003 0.0544976 0.1417E-01 0.0160009 0.00163741 0.0442468 0.1104E-01 0.0130837 0.00106083 0.03463 0.8189E-02 0.0101484 0.00062215 0.0257226 0.5581E-02 0.0072189 0.00031108 0.0175433 0.3202E-02 0.00431749 0.00011559 0.0100691 0.1034E-02 0.00146346 2.2577e-05 0.00325339 ################################################################################## # # N=0 # rms values (tangential stresses) # NB: these values are in + unit ################################################################################## (1-r) ^+ ^+ ^+ Total stress 0.9990E+00 7.17186e-07 0.000115889 0.000806043 0.00087158 0.9968E+00 -4.36192e-05 0.00029574 0.00257787 0.0027932 0.9944E+00 -2.95441e-05 0.000446848 0.00452309 0.0049089 0.9918E+00 -1.46735e-05 0.000598778 0.00666132 0.0072249 0.9890E+00 6.04447e-07 0.000759138 0.00900711 0.0097609 0.9858E+00 1.82229e-05 0.00093396 0.0115756 0.012536 0.9824E+00 3.97033e-05 0.0011268 0.0143851 0.015569 0.9787E+00 6.6191e-05 0.00133993 0.0174532 0.018881 0.9746E+00 9.86244e-05 0.00157491 0.0208013 0.022493 0.9702E+00 0.00013785 0.00183243 0.0244504 0.026429 0.9654E+00 0.000184706 0.00211155 0.0284219 0.030711 0.9602E+00 0.000240073 0.00240896 0.0327401 0.035364 0.9546E+00 0.000304975 0.00271751 0.0374257 0.040412 0.9485E+00 0.000380541 0.00302523 0.0425037 0.04588 0.9420E+00 0.00046777 0.00331674 0.0479914 0.051791 0.9349E+00 0.000566993 0.00357683 0.0539072 0.058165 0.9274E+00 0.000676838 0.00379486 0.060261 0.065017 0.9193E+00 0.000793342 0.00396617 0.0670596 0.072358 0.9107E+00 0.000909938 0.00408637 0.0743004 0.080189 0.9016E+00 0.00101899 0.00414181 0.0819767 0.088509 0.8919E+00 0.001114 0.00410756 0.0900878 0.097312 0.8817E+00 0.00119156 0.00395678 0.098641 0.1066 0.8710E+00 0.00125107 0.00367425 0.107668 0.1164 0.8598E+00 0.00129296 0.00325764 0.117227 0.12672 0.8481E+00 0.00131582 0.00270247 0.127351 0.13758 0.8360E+00 0.00131508 0.00198753 0.138024 0.14896 0.8235E+00 0.00128266 0.00107726 0.149179 0.16079 0.8106E+00 0.00120677 -5.00013e-05 0.160683 0.17299 0.7975E+00 0.00107452 -0.00138806 0.172429 0.18548 0.7841E+00 0.000878185 -0.00290337 0.184323 0.19816 0.7705E+00 0.000618079 -0.00448012 0.196301 0.21099 0.7569E+00 0.000300387 -0.00586684 0.208354 0.22392 0.7431E+00 -5.42064e-05 -0.00671352 0.220465 0.23693 0.7295E+00 -0.000403699 -0.00668219 0.232617 0.24997 0.7159E+00 -0.000699597 -0.00555646 0.244753 0.26298 0.7025E+00 -0.000909522 -0.00328266 0.256789 0.2759 0.6894E+00 -0.00102814 -3.55513e-06 0.268659 0.28865 0.6765E+00 -0.00106853 0.00392503 0.280329 0.30118 0.6640E+00 -0.00103728 0.00809044 0.29175 0.31342 0.6519E+00 -0.000930968 0.0122264 0.302864 0.3253 0.6402E+00 -0.00074765 0.0162637 0.313603 0.33675 0.6290E+00 -0.000485566 0.0202444 0.323927 0.34776 0.6183E+00 -0.000148548 0.0241869 0.333827 0.35832 0.6081E+00 0.000240547 0.0280255 0.343286 0.3684 0.5984E+00 0.000645152 0.0316354 0.352288 0.378 0.5893E+00 0.00103429 0.034893 0.360816 0.38709 0.5807E+00 0.00139238 0.0377034 0.368879 0.3957 0.5726E+00 0.00171714 0.0400108 0.376477 0.40381 0.5651E+00 0.00201363 0.0418154 0.383625 0.41145 0.5580E+00 0.00228794 0.0431637 0.390341 0.41861 0.5515E+00 0.00254329 0.0441304 0.396625 0.4253 0.5454E+00 0.00278035 0.0447854 0.402486 0.43153 0.5398E+00 0.00299888 0.0451885 0.40793 0.4373 0.5346E+00 0.00319804 0.0453872 0.412959 0.44263 0.5298E+00 0.00337742 0.0454221 0.417606 0.44755 0.5254E+00 0.00353668 0.0453265 0.421886 0.45208 0.5213E+00 0.00367657 0.0451328 0.425818 0.45624 0.5176E+00 0.00379818 0.044866 0.429425 0.46006 0.5142E+00 0.00390325 0.044551 0.432734 0.46357 0.5110E+00 0.00399369 0.0442052 0.435768 0.46677 0.5082E+00 0.00407132 0.0438444 0.438536 0.4697 0.5056E+00 0.00413799 0.0434803 0.441071 0.47238 0.5032E+00 0.00419534 0.0431221 0.44339 0.47483 0.5010E+00 0.00424463 0.0427746 0.44551 0.47704 0.4990E+00 0.00428918 0.0424272 0.447496 0.47913 0.4968E+00 0.00433365 0.0420457 0.449549 0.48132 0.4944E+00 0.00438012 0.0416118 0.451819 0.48377 0.4918E+00 0.00442825 0.0411197 0.454321 0.48645 0.4890E+00 0.00447762 0.0405644 0.457064 0.48939 0.4858E+00 0.00452833 0.0399435 0.460081 0.4926 0.4824E+00 0.00458036 0.0392544 0.463373 0.49611 0.4787E+00 0.00463431 0.0384988 0.466963 0.49994 0.4746E+00 0.0046915 0.0376784 0.470887 0.50411 0.4702E+00 0.00475384 0.0368015 0.475143 0.50865 0.4654E+00 0.00482432 0.0358755 0.479764 0.51358 0.4602E+00 0.0049067 0.0349105 0.484768 0.51892 0.4546E+00 0.00500503 0.0339155 0.490171 0.52469 0.4485E+00 0.00512182 0.0328939 0.49599 0.53092 0.4420E+00 0.00525698 0.0318374 0.502224 0.53762 0.4349E+00 0.00540618 0.0307244 0.508882 0.54481 0.4274E+00 0.00556054 0.0295258 0.515947 0.55249 0.4193E+00 0.00570866 0.0282092 0.523428 0.56069 0.4107E+00 0.00583692 0.0267462 0.531317 0.56941 0.4016E+00 0.00592977 0.0250954 0.53962 0.57869 0.3919E+00 0.00596858 0.0231861 0.548332 0.58852 0.3817E+00 0.00593226 0.0209676 0.557442 0.59889 0.3710E+00 0.00580733 0.018503 0.566943 0.60978 0.3598E+00 0.00560409 0.0160201 0.576793 0.62113 0.3481E+00 0.00534425 0.0138365 0.586959 0.63292 0.3360E+00 0.00503013 0.0121633 0.597382 0.64516 0.3235E+00 0.00467005 0.0108973 0.607947 0.65779 0.3106E+00 0.00428603 0.00961557 0.618495 0.67074 0.2975E+00 0.0038946 0.00793525 0.628919 0.68398 0.2841E+00 0.00354848 0.00595878 0.639201 0.69753 0.2705E+00 0.00329247 0.00406293 0.6492 0.71132 0.2569E+00 0.00314808 0.00277129 0.65866 0.72526 0.2431E+00 0.00317925 0.00248901 0.667321 0.73924 0.2295E+00 0.00337044 0.00284494 0.674993 0.75324 0.2159E+00 0.00361174 0.00328366 0.681394 0.76719 0.2025E+00 0.00378056 0.00361182 0.686198 0.78109 0.1894E+00 0.00380467 0.00415636 0.688908 0.79485 0.1765E+00 0.00373983 0.00536304 0.688875 0.80832 0.1640E+00 0.00365895 0.00756029 0.685558 0.82146 0.1519E+00 0.00354316 0.0108159 0.678393 0.83429 0.1402E+00 0.00339022 0.0152163 0.666839 0.84683 0.1290E+00 0.00323536 0.0206933 0.650347 0.85908 0.1183E+00 0.00307444 0.0267844 0.628279 0.8709 0.1081E+00 0.00288916 0.0327327 0.60015 0.88225 0.9841E-01 0.00267628 0.0376618 0.565729 0.89309 0.8929E-01 0.00243057 0.0408504 0.525074 0.90341 0.8069E-01 0.00213956 0.0419102 0.478609 0.91315 0.7263E-01 0.00180766 0.0408288 0.427181 0.92227 0.6508E-01 0.00145838 0.0379004 0.372129 0.9307 0.5804E-01 0.0011224 0.0336179 0.315291 0.93842 0.5149E-01 0.000825926 0.028545 0.258884 0.94546 0.4541E-01 0.000583542 0.0232094 0.205237 0.95187 0.3978E-01 0.000398163 0.0180624 0.156494 0.95775 0.3458E-01 0.000264337 0.0134633 0.114301 0.96318 0.2978E-01 0.000172104 0.00963635 0.0796144 0.96824 0.2537E-01 0.000110403 0.00664478 0.0525988 0.97296 0.2131E-01 6.95533e-05 0.00442542 0.032736 0.97735 0.1758E-01 4.24039e-05 0.00284303 0.019005 0.9814 0.1417E-01 2.43556e-05 0.00174798 0.0101401 0.98512 0.1104E-01 1.26803e-05 0.00101043 0.0048495 0.98849 0.8189E-02 5.65538e-06 0.000530768 0.0019872 0.99154 0.5581E-02 1.95694e-06 0.000236366 0.000636474 0.99428 0.3202E-02 4.18196e-07 7.47226e-05 0.000127285 0.99674 0.1034E-02 2.54295e-08 7.43353e-06 7.47426e-06 0.99895 ################################################################################## # # N=0.5 # mean values # ################################################################################## (1-r) (1-r)^+ V_z/U_b (V_z)^+ rV_theta V _theta*U_c*2/N+r 0.9864360094 144.668 1.43851 24.0312 -3.18175e-05 0.00418105 0.9593294859 140.692 1.43826 24.027 -0.00028669 0.0124742 0.9322869778 136.726 1.43718 24.0091 -0.000797091 0.0206266 0.9053508043 132.776 1.43528 23.9773 -0.00155763 0.0288217 0.8785626888 128.847 1.43247 23.9304 -0.00256021 0.0371071 0.8519632816 124.946 1.42868 23.867 -0.00379537 0.0454845 0.8255921602 121.079 1.42383 23.7859 -0.0052477 0.0540532 0.7994874716 117.25 1.41791 23.6871 -0.00689185 0.0630279 0.7736857533 113.466 1.41098 23.5714 -0.00869934 0.0725575 0.7482218146 109.732 1.40308 23.4394 -0.0106449 0.0826621 0.7231284976 106.052 1.39428 23.2923 -0.0127021 0.0933619 0.6984364390 102.431 1.38469 23.1321 -0.0148405 0.104716 0.6741741300 98.8724 1.37446 22.9613 -0.0170235 0.116837 0.6503677964 95.381 1.36378 22.7829 -0.0192111 0.129846 0.6270411015 91.96 1.3527 22.5977 -0.0213729 0.143733 0.6042155027 88.6124 1.3412 22.4056 -0.0234841 0.158442 0.5819097161 85.3411 1.32932 22.2071 -0.0255189 0.173943 0.5601403117 82.1485 1.31705 22.0021 -0.0274567 0.190173 0.5389211774 79.0366 1.30442 21.7912 -0.029282 0.207048 0.5182639360 76.007 1.29154 21.576 -0.0309783 0.224514 0.4981777668 73.0613 1.27849 21.3579 -0.03253 0.242528 0.4786696434 70.2003 1.26527 21.1372 -0.033929 0.261004 0.4597444534 67.4247 1.25189 20.9136 -0.0351727 0.27984 0.4414047599 64.7351 1.23833 20.6871 -0.0362618 0.298931 0.4236514568 62.1315 1.22465 20.4586 -0.0371994 0.318175 0.4064832926 59.6136 1.21087 20.2283 -0.0379877 0.337499 0.3898975253 57.1812 1.19699 19.9965 -0.0386272 0.356852 0.3738896847 54.8335 1.183 19.7628 -0.0391176 0.376201 0.3584538698 52.5698 1.1689 19.5273 -0.0394604 0.395513 0.3435828090 50.3888 1.15471 19.2902 -0.0396585 0.414751 0.3292680979 48.2895 1.14042 19.0514 -0.039714 0.433892 0.3155000210 46.2703 1.12604 18.8113 -0.0396291 0.45292 0.3022682071 44.3297 1.11158 18.5697 -0.0394086 0.471808 0.2895611525 42.4662 1.09703 18.3265 -0.0390599 0.490519 0.2773668766 40.6778 1.08237 18.0818 -0.0385922 0.509013 0.2656726241 38.9628 1.06763 17.8355 -0.0380178 0.527238 0.2544649839 37.3191 1.05281 17.5878 -0.0373499 0.545143 0.2437304854 35.7448 1.03789 17.3387 -0.0366023 0.562676 0.2334550619 34.2378 1.02289 17.088 -0.0357878 0.579797 0.2236244678 32.7961 1.00778 16.8356 -0.0349191 0.596467 0.2142242789 31.4175 0.992553 16.5812 -0.0340078 0.612659 0.2052398920 30.0999 0.977206 16.3249 -0.0330651 0.628345 0.1966568232 28.8411 0.96173 16.0663 -0.0321007 0.643508 0.1884605885 27.6391 0.946124 15.8056 -0.0311232 0.658136 0.1806365252 26.4916 0.930387 15.5427 -0.0301396 0.672227 0.1731704473 25.3967 0.914519 15.2776 -0.0291559 0.68578 0.1660481691 24.3521 0.89852 15.0104 -0.0281768 0.698804 0.1592553854 23.3559 0.882402 14.7411 -0.0272064 0.711305 0.1527785659 22.406 0.866172 14.47 -0.0262487 0.723293 0.1466040015 21.5005 0.849842 14.1972 -0.0253069 0.734779 0.1407184601 20.6373 0.833429 13.923 -0.024384 0.745773 0.1351088881 19.8147 0.816948 13.6476 -0.0234827 0.756287 0.1297625899 19.0306 0.800416 13.3715 -0.0226053 0.766333 0.1246670485 18.2833 0.783853 13.0948 -0.0217535 0.775926 0.1198101044 17.571 0.767277 12.8179 -0.020929 0.785079 0.1151798964 16.8919 0.750711 12.5411 -0.0201327 0.793806 0.1107649803 16.2445 0.734171 12.2648 -0.0193654 0.802125 0.1065539718 15.6269 0.717682 11.9893 -0.0186274 0.81005 0.1025359631 15.0376 0.701258 11.715 -0.0179186 0.817601 0.9870028496E-01 14.4751 0.684921 11.442 -0.0172387 0.824794 0.9503644705E-01 13.9378 0.668686 11.1708 -0.0165871 0.831648 0.9153443575E-01 13.4242 0.652566 10.9015 -0.0159631 0.83818 0.8818423748E-01 12.9328 0.636574 10.6344 -0.0153657 0.844409 0.8497607708E-01 12.4623 0.620717 10.3695 -0.0147938 0.850353 0.8190065622E-01 12.0113 0.605001 10.1069 -0.0142462 0.856031 0.7894861698E-01 11.5784 0.589428 9.84678 -0.0137216 0.86146 0.7611083984E-01 11.1622 0.573995 9.58896 -0.0132186 0.866659 0.7337838411E-01 10.7615 0.558698 9.33341 -0.0127358 0.871644 0.7074236870E-01 10.3749 0.543526 9.07995 -0.0122715 0.876435 0.6819415092E-01 10.0011 0.528466 8.82836 -0.0118244 0.881047 0.6572508812E-01 9.63904 0.513502 8.57838 -0.0113928 0.885498 0.6332659721E-01 9.28729 0.498609 8.32959 -0.0109752 0.889805 0.6098997593E-01 8.94461 0.483763 8.08157 -0.0105699 0.893984 0.5870670080E-01 8.60975 0.468932 7.83381 -0.0101753 0.898054 0.5646824837E-01 8.28146 0.454081 7.58571 -0.0097898 0.902029 0.5426585674E-01 7.95847 0.439169 7.33661 -0.00941181 0.905927 0.5209076405E-01 7.63948 0.424152 7.08573 -0.0090396 0.909764 0.4993396997E-01 7.32317 0.40898 6.83227 -0.00867151 0.913557 0.4778635502E-01 7.0082 0.393597 6.57529 -0.00830582 0.917323 0.4563874006E-01 6.69324 0.377943 6.31379 -0.00794076 0.921079 0.4348134995E-01 6.37684 0.361951 6.04663 -0.00757448 0.924843 0.4130417109E-01 6.05755 0.34555 5.77264 -0.00720511 0.928634 0.3909707069E-01 5.73386 0.328661 5.49049 -0.00683064 0.932469 0.3684926033E-01 5.4042 0.311198 5.19877 -0.00644901 0.936368 0.3454959393E-01 5.06694 0.293073 4.89597 -0.00605802 0.940351 0.3218650818E-01 4.72038 0.274186 4.58045 -0.00565532 0.94444 0.2974748611E-01 4.36268 0.254433 4.25046 -0.00523841 0.948656 0.2721953392E-01 3.99194 0.233702 3.90414 -0.00480463 0.953024 0.2458912134E-01 3.60617 0.211876 3.53953 -0.00435114 0.957568 0.2184164524E-01 3.20323 0.188831 3.15455 -0.00387493 0.962313 0.1896178722E-01 2.78088 0.164438 2.74705 -0.00337283 0.967286 0.1593327522E-01 2.33673 0.138562 2.31477 -0.00284152 0.972517 0.1273840666E-01 1.86818 0.11106 1.85533 -0.00227757 0.978034 0.9358763695E-02 1.37253 0.0817833 1.36624 -0.00167744 0.983868 0.5774497986E-02 0.846871 0.0505727 0.84485 -0.00103752 0.990051 0.1964330673E-02 0.288083 0.0172494 0.288162 -0.000353943 0.996617 ################################################################################## # # N=0.5 # rms values (normal stresses) # NB: these values are scaled with the centerline axial velocity U_c ################################################################################## (1-r) (V_t')^2/U_c (V_r')^2/U_c (V_z')^2/U_c 0.9864360094 0.0306828 0.0332956 0.0304026 0.9593294859 0.0309753 0.0342256 0.0306588 0.9322869778 0.0311092 0.0350773 0.0308224 0.9053508043 0.0313014 0.0360253 0.0309782 0.8785626888 0.031638 0.0371456 0.0311464 0.8519632816 0.0321193 0.0384813 0.0313379 0.8255921602 0.0327244 0.0400028 0.0315573 0.7994874716 0.0334186 0.0416941 0.0318012 0.7736857533 0.0341255 0.0435451 0.0320581 0.7482218146 0.0348375 0.0455262 0.0323176 0.7231284976 0.0355865 0.0476142 0.0325775 0.6984364390 0.0363918 0.0497831 0.0328448 0.6741741300 0.037208 0.0519522 0.0331248 0.6503677964 0.037997 0.0539893 0.0334055 0.6270411015 0.0387814 0.0558904 0.0336617 0.6042155027 0.0395703 0.0577732 0.0338705 0.5819097161 0.040346 0.0596827 0.034024 0.5601403117 0.041087 0.0615933 0.0341326 0.5389211774 0.0417725 0.0634769 0.0342158 0.5182639360 0.0423874 0.0652892 0.0342881 0.4981777668 0.0429502 0.067013 0.0343516 0.4786696434 0.0434743 0.0687016 0.0343996 0.4597444534 0.043947 0.0704041 0.0344217 0.4414047599 0.0443754 0.072132 0.034407 0.4236514568 0.0447742 0.0738745 0.0343494 0.4064832926 0.0451543 0.0756038 0.0342486 0.3898975253 0.0455113 0.0772944 0.0341056 0.3738896847 0.0458216 0.0789542 0.0339193 0.3584538698 0.046069 0.0805952 0.0336872 0.3435828090 0.0462512 0.0822101 0.0334091 0.3292680979 0.0463689 0.083779 0.0330876 0.3155000210 0.0464261 0.0852806 0.0327258 0.3022682071 0.0464331 0.0867064 0.0323256 0.2895611525 0.0463996 0.0880698 0.0318878 0.2773668766 0.0463277 0.0894036 0.0314122 0.2656726241 0.04622 0.0907448 0.0308998 0.2544649839 0.0460859 0.0921155 0.0303536 0.2437304854 0.0459384 0.0935186 0.0297782 0.2334550619 0.0457881 0.0949442 0.0291788 0.2236244678 0.0456404 0.0963758 0.0285604 0.2142242789 0.0454931 0.0977908 0.0279272 0.2052398920 0.0453388 0.0991625 0.0272827 0.1966568232 0.0451671 0.100465 0.0266299 0.1884605885 0.0449694 0.101679 0.0259713 0.1806365252 0.0447407 0.102786 0.0253094 0.1731704473 0.0444797 0.103781 0.024646 0.1660481691 0.0441873 0.10466 0.0239829 0.1592553854 0.0438663 0.105425 0.0233212 0.1527785659 0.043521 0.106077 0.022662 0.1466040015 0.0431553 0.106618 0.0220062 0.1407184601 0.0427728 0.10705 0.0213549 0.1351088881 0.0423764 0.107375 0.020709 0.1297625899 0.0419687 0.107593 0.0200695 0.1246670485 0.0415515 0.107706 0.0194371 0.1198101044 0.0411265 0.107715 0.018813 0.1151798964 0.040695 0.107622 0.0181978 0.1107649803 0.0402579 0.107429 0.0175922 0.1065539718 0.0398162 0.107136 0.0169972 0.1025359631 0.0393704 0.106744 0.0164132 0.9870028496E-01 0.0389211 0.106256 0.0158408 0.9503644705E-01 0.0384685 0.105671 0.0152805 0.9153443575E-01 0.0380127 0.104992 0.0147325 0.8818423748E-01 0.0375537 0.10422 0.014197 0.8497607708E-01 0.0370913 0.103358 0.013674 0.8190065622E-01 0.0366252 0.102408 0.0131634 0.7894861698E-01 0.0361553 0.101371 0.0126651 0.7611083984E-01 0.035681 0.10025 0.0121787 0.7337838411E-01 0.0352019 0.0990454 0.0117036 0.7074236870E-01 0.0347172 0.0977587 0.0112394 0.6819415092E-01 0.0342262 0.0963908 0.0107853 0.6572508812E-01 0.0337279 0.0949414 0.0103407 0.6332659721E-01 0.0332209 0.0934101 0.00990448 0.6098997593E-01 0.0327038 0.0917946 0.0094759 0.5870670080E-01 0.0321748 0.0900924 0.00905386 0.5646824837E-01 0.0316318 0.0882994 0.00863734 0.5426585674E-01 0.031072 0.0864105 0.00822514 0.5209076405E-01 0.030493 0.0844188 0.00781606 0.4993396997E-01 0.0298908 0.0823159 0.00740885 0.4778635502E-01 0.0292615 0.0800916 0.00700222 0.4563874006E-01 0.0286003 0.0777338 0.00659486 0.4348134995E-01 0.0279017 0.0752284 0.00618545 0.4130417109E-01 0.0271587 0.0725586 0.00577267 0.3909707069E-01 0.0263637 0.0697057 0.00535526 0.3684926033E-01 0.0255071 0.0666482 0.00493212 0.3454959393E-01 0.0245779 0.0633621 0.00450228 0.3218650818E-01 0.0235624 0.0598207 0.00406507 0.2974748611E-01 0.0224444 0.0559949 0.00362027 0.2721953392E-01 0.0212039 0.0518539 0.00316829 0.2458912134E-01 0.0198167 0.0473655 0.0027106 0.2184164524E-01 0.0182527 0.0424978 0.00225015 0.1896178722E-01 0.0164752 0.0372208 0.0017921 0.1593327522E-01 0.0144379 0.0315089 0.00134486 0.1273840666E-01 0.0120828 0.0253427 0.000921604 0.9358763695E-02 0.00933642 0.0187099 0.000542571 0.5774497986E-02 0.00610331 0.0115986 0.000238328 0.1964330673E-02 0.00225584 0.00397873 5.48306e-05 ################################################################################## # # N=0.5 # rms values (tangential stresses) # NB: these values are in + unit ################################################################################## (1-r) ^+ ^+ ^+ 0.9864360094 -4.85901e-06 -0.000535513 0.0140275 0.9593294859 -0.000451223 0.000347985 0.0385515 0.9322869778 -0.000356015 0.00311692 0.0625795 0.9053508043 -0.000170156 0.00541244 0.0860764 0.8785626888 -4.51314e-05 0.00599888 0.108678 0.8519632816 6.73575e-05 0.00383171 0.130406 0.8255921602 0.000379467 -0.0015455 0.151322 0.7994874716 0.000812639 -0.00891082 0.171721 0.7736857533 0.00114269 -0.0172528 0.191829 0.7482218146 0.00135315 -0.025978 0.211439 0.7231284976 0.00162795 -0.0324713 0.230955 0.6984364390 0.00202183 -0.0368676 0.250587 0.6741741300 0.00277486 -0.0406259 0.27065 0.6503677964 0.00372726 -0.0462487 0.290872 0.6270411015 0.00458286 -0.0545056 0.31067 0.6042155027 0.00545998 -0.0634321 0.330066 0.5819097161 0.00632021 -0.0710725 0.349034 0.5601403117 0.0070349 -0.0759925 0.367349 0.5389211774 0.00759694 -0.0785709 0.38532 0.5182639360 0.00803851 -0.0815885 0.403128 0.4981777668 0.00832054 -0.086213 0.420322 0.4786696434 0.00837689 -0.0901569 0.436574 0.4597444534 0.00830019 -0.0906412 0.451953 0.4414047599 0.00812712 -0.0879287 0.466624 0.4236514568 0.0079358 -0.082982 0.480644 0.4064832926 0.00781217 -0.0762138 0.493907 0.3898975253 0.00783967 -0.0671045 0.506257 0.3738896847 0.00803675 -0.0552051 0.517747 0.3584538698 0.00837936 -0.0420277 0.528497 0.3435828090 0.00887529 -0.0299199 0.538503 0.3292680979 0.00957603 -0.0201047 0.547746 0.3155000210 0.0104452 -0.0126741 0.556206 0.3022682071 0.0114125 -0.00717581 0.563805 0.2895611525 0.0124351 -0.00293772 0.570508 0.2773668766 0.0134449 0.000818533 0.576374 0.2656726241 0.0143739 0.00486483 0.581452 0.2544649839 0.0151994 0.0101024 0.585704 0.2437304854 0.0159109 0.0172913 0.589034 0.2334550619 0.016499 0.0268792 0.591334 0.2236244678 0.0169556 0.0390429 0.592556 0.2142242789 0.017277 0.0536588 0.592686 0.2052398920 0.0174677 0.0702829 0.591715 0.1966568232 0.0175444 0.0882733 0.58963 0.1884605885 0.0175335 0.106943 0.586412 0.1806365252 0.0174641 0.125704 0.582047 0.1731704473 0.0173576 0.144147 0.57654 0.1660481691 0.0172241 0.162015 0.569921 0.1592553854 0.0170651 0.179137 0.562233 0.1527785659 0.016879 0.19541 0.553525 0.1466040015 0.0166624 0.21079 0.54384 0.1407184601 0.0164094 0.225277 0.533225 0.1351088881 0.016115 0.238896 0.521735 0.1297625899 0.0157756 0.251679 0.509431 0.1246670485 0.0153894 0.263648 0.496383 0.1198101044 0.0149568 0.274816 0.482675 0.1151798964 0.0144809 0.285183 0.46839 0.1107649803 0.0139664 0.294736 0.453618 0.1065539718 0.0134187 0.303457 0.438444 0.1025359631 0.0128437 0.311326 0.422951 0.9870028496E-01 0.0122464 0.318321 0.407221 0.9503644705E-01 0.0116314 0.324424 0.391328 0.9153443575E-01 0.0110035 0.32962 0.375346 0.8818423748E-01 0.010367 0.333898 0.359338 0.8497607708E-01 0.00972614 0.337247 0.343367 0.8190065622E-01 0.00908527 0.339659 0.327486 0.7894861698E-01 0.00844837 0.341129 0.311741 0.7611083984E-01 0.00781918 0.341654 0.296174 0.7337838411E-01 0.00720124 0.341233 0.280817 0.7074236870E-01 0.00659763 0.339868 0.265699 0.6819415092E-01 0.00601108 0.337564 0.250839 0.6572508812E-01 0.00544385 0.33433 0.236253 0.6332659721E-01 0.00489785 0.330173 0.22195 0.6098997593E-01 0.00437457 0.325102 0.207933 0.5870670080E-01 0.00387523 0.319125 0.194204 0.5646824837E-01 0.00340086 0.312245 0.180761 0.5426585674E-01 0.0029523 0.304466 0.167598 0.5209076405E-01 0.00253033 0.295784 0.154712 0.4993396997E-01 0.00213572 0.286193 0.142096 0.4778635502E-01 0.00176929 0.275679 0.129749 0.4563874006E-01 0.00143197 0.264228 0.11767 0.4348134995E-01 0.0011248 0.251818 0.105866 0.4130417109E-01 0.000848947 0.23843 0.0943487 0.3909707069E-01 0.000605703 0.224045 0.0831411 0.3684926033E-01 0.0003964 0.208653 0.0722775 0.3454959393E-01 0.00022229 0.192255 0.0618063 0.3218650818E-01 8.43209e-05 0.174873 0.0517931 0.2974748611E-01 -1.71798e-05 0.156561 0.0423218 0.2721953392E-01 -8.29399e-05 0.137419 0.0334976 0.2458912134E-01 -0.000115305 0.11761 0.0254465 0.2184164524E-01 -0.000118824 0.0973805 0.0183103 0.1896178722E-01 -0.000100633 0.0770865 0.0122384 0.1593327522E-01 -7.02868e-05 0.0572313 0.00736802 0.1273840666E-01 -3.84983e-05 0.0385156 0.0037913 0.9358763695E-02 -1.45103e-05 0.0219198 0.00150708 0.5774497986E-02 -2.5887e-06 0.00881501 0.000364306 0.1964330673E-02 1.3018e-07 0.00108971 2.38506e-05 ################################################################################## # # N=1 # mean values # ################################################################################## (1-r) (1-r)^+ V_z/U_b (V_z)^+ rV_theta V _theta*U_c*2/N+r 0.9864360094 147.036 1.52091 24.9986 -6.14056e-05 0.00450978 0.9593294859 142.996 1.5201 24.9851 -0.000552318 0.0135099 0.9322869778 138.965 1.51778 24.947 -0.00152584 0.0226453 0.9053508043 134.95 1.51404 24.8855 -0.00295558 0.0321959 0.8785626888 130.957 1.50888 24.8009 -0.00481084 0.0422057 0.8519632816 126.992 1.50237 24.6939 -0.00705623 0.0527059 0.8255921602 123.061 1.49458 24.5657 -0.00965199 0.0637248 0.7994874716 119.17 1.48555 24.4173 -0.0125491 0.0753426 0.7736857533 115.324 1.47533 24.2494 -0.0156914 0.0876447 0.7482218146 111.528 1.46393 24.062 -0.0190226 0.100672 0.7231284976 107.788 1.45145 23.8569 -0.0224883 0.114426 0.6984364390 104.108 1.43802 23.6361 -0.0260381 0.128876 0.6741741300 100.491 1.42377 23.4018 -0.029624 0.143986 0.6503677964 96.9425 1.40882 23.1561 -0.0331996 0.15972 0.6270411015 93.4655 1.39324 22.9001 -0.036719 0.176052 0.6042155027 90.0632 1.37707 22.6343 -0.0401359 0.192968 0.5819097161 86.7383 1.36035 22.3595 -0.0434123 0.210421 0.5601403117 83.4934 1.34311 22.076 -0.0465225 0.228326 0.5389211774 80.3305 1.3254 21.785 -0.0494454 0.246602 0.5182639360 77.2514 1.30731 21.4877 -0.05216 0.265186 0.4981777668 74.2574 1.28894 21.1858 -0.0546491 0.284019 0.4786696434 71.3495 1.27039 20.8808 -0.0569001 0.303042 0.4597444534 68.5286 1.25171 20.5737 -0.0589027 0.322201 0.4414047599 65.7949 1.23295 20.2654 -0.0606478 0.341451 0.4236514568 63.1486 1.2142 19.9573 -0.0621259 0.360764 0.4064832926 60.5896 1.19556 19.6509 -0.0633281 0.380117 0.3898975253 58.1173 1.17711 19.3476 -0.0642508 0.39948 0.3738896847 55.7312 1.1589 19.0483 -0.0648974 0.418807 0.3584538698 53.4304 1.14099 18.754 -0.0652774 0.438046 0.3435828090 51.2138 1.12342 18.4652 -0.0654025 0.457146 0.3292680979 49.08 1.10623 18.1827 -0.0652834 0.476069 0.3155000210 47.0278 1.08946 17.907 -0.0649303 0.494784 0.3022682071 45.0555 1.07313 17.6386 -0.0643565 0.513258 0.2895611525 43.1614 1.05723 17.3772 -0.0635804 0.53145 0.2773668766 41.3438 1.04174 17.1226 -0.0626241 0.549311 0.2656726241 39.6006 1.02662 16.8741 -0.0615087 0.566803 0.2544649839 37.93 1.01185 16.6313 -0.0602536 0.583896 0.2437304854 36.33 0.997386 16.3936 -0.0588765 0.600567 0.2334550619 34.7983 0.983196 16.1603 -0.0573952 0.616794 0.2236244678 33.333 0.969242 15.931 -0.0558272 0.632561 0.2142242789 31.9318 0.955472 15.7047 -0.0541898 0.647849 0.2052398920 30.5926 0.941837 15.4806 -0.0524988 0.662648 0.1966568232 29.3133 0.928291 15.2579 -0.0507685 0.67695 0.1884605885 28.0916 0.914788 15.036 -0.049012 0.690752 0.1806365252 26.9253 0.901296 14.8142 -0.0472404 0.704053 0.1731704473 25.8124 0.887783 14.5921 -0.045464 0.716858 0.1660481691 24.7508 0.874229 14.3693 -0.0436922 0.729168 0.1592553854 23.7383 0.860611 14.1455 -0.0419338 0.740991 0.1527785659 22.7729 0.846918 13.9204 -0.0401968 0.752331 0.1466040015 21.8525 0.833138 13.6939 -0.0384889 0.763194 0.1407184601 20.9752 0.819262 13.4658 -0.0368167 0.77359 0.1351088881 20.1391 0.805283 13.2361 -0.0351866 0.783525 0.1297625899 19.3422 0.791197 13.0046 -0.0336037 0.793009 0.1246670485 18.5826 0.777002 12.7712 -0.0320725 0.802052 0.1198101044 17.8587 0.762701 12.5362 -0.0305966 0.810667 0.1151798964 17.1685 0.748296 12.2994 -0.0291783 0.818867 0.1107649803 16.5104 0.733796 12.0611 -0.0278196 0.826665 0.1065539718 15.8827 0.719208 11.8213 -0.0265213 0.834077 0.1025359631 15.2838 0.704545 11.5803 -0.0252837 0.841119 0.9870028496E-01 14.7121 0.68982 11.3383 -0.0241062 0.847808 0.9503644705E-01 14.1659 0.675047 11.0954 -0.0229878 0.85416 0.9153443575E-01 13.6439 0.660241 10.8521 -0.021927 0.860193 0.8818423748E-01 13.1446 0.645415 10.6084 -0.0209219 0.865925 0.8497607708E-01 12.6664 0.630583 10.3646 -0.0199702 0.871374 0.8190065622E-01 12.2079 0.615754 10.1209 -0.0190693 0.876559 0.7894861698E-01 11.7679 0.600939 9.87736 -0.0182165 0.881496 0.7611083984E-01 11.3449 0.58614 9.63411 -0.0174088 0.886203 0.7337838411E-01 10.9376 0.571362 9.39122 -0.0166434 0.890699 0.7074236870E-01 10.5447 0.556602 9.14863 -0.0159171 0.895 0.6819415092E-01 10.1649 0.541854 8.90622 -0.015227 0.899123 0.6572508812E-01 9.79685 0.527109 8.66386 -0.0145698 0.903085 0.6332659721E-01 9.43934 0.512352 8.42129 -0.0139428 0.906902 0.6098997593E-01 9.09104 0.497561 8.17819 -0.0133428 0.910591 0.5870670080E-01 8.7507 0.482714 7.93415 -0.012767 0.914167 0.5646824837E-01 8.41704 0.467778 7.68866 -0.0122124 0.917645 0.5426585674E-01 8.08876 0.452719 7.44115 -0.0116764 0.921041 0.5209076405E-01 7.76455 0.437497 7.19094 -0.0111562 0.924371 0.4993396997E-01 7.44306 0.422063 6.93727 -0.010649 0.927649 0.4778635502E-01 7.12294 0.406366 6.67926 -0.0101523 0.93089 0.4563874006E-01 6.80282 0.390349 6.41599 -0.00966332 0.93411 0.4348134995E-01 6.48124 0.373946 6.14638 -0.0091795 0.937325 0.4130417109E-01 6.15672 0.357084 5.86923 -0.00869815 0.94055 0.3909707069E-01 5.82773 0.339689 5.58331 -0.0082165 0.943801 0.3684926033E-01 5.49268 0.321677 5.28725 -0.00773181 0.947096 0.3454959393E-01 5.14989 0.302956 4.97955 -0.00724115 0.95045 0.3218650818E-01 4.79766 0.283431 4.65864 -0.00674144 0.953882 0.2974748611E-01 4.4341 0.262997 4.32277 -0.00622942 0.957412 0.2721953392E-01 4.05729 0.241545 3.97016 -0.00570159 0.961058 0.2458912134E-01 3.66521 0.218957 3.59889 -0.00515425 0.964843 0.2184164524E-01 3.25567 0.19511 3.20694 -0.00458342 0.968787 0.1896178722E-01 2.82641 0.169878 2.7922 -0.00398491 0.972914 0.1593327522E-01 2.37498 0.143122 2.35243 -0.00335428 0.97725 0.1273840666E-01 1.89876 0.114699 1.88525 -0.00268693 0.981818 0.9358763695E-02 1.395 0.0844544 1.38814 -0.0019782 0.986647 0.5774497986E-02 0.860735 0.0522216 0.858343 -0.00122331 0.991765 0.1964330673E-02 0.292799 0.0178115 0.292759 -0.000417306 0.997199 ################################################################################## # # N=1. # rms values (normal stresses) # NB: these values are scaled with the centerline axial velocity U_c ################################################################################## (1-r) (V_t')^2/U_c (V_r')^2/U_c (V_z')^2/U_c 0.9864360094 0.0403331 0.0442389 0.0400826 0.9593294859 0.0406291 0.0449845 0.0403 0.9322869778 0.040791 0.045652 0.0403916 0.9053508043 0.040952 0.0465316 0.0404361 0.8785626888 0.0410876 0.0476297 0.0404614 0.8519632816 0.041255 0.0488531 0.0404757 0.8255921602 0.0415274 0.0501342 0.040489 0.7994874716 0.0419261 0.0514615 0.0405069 0.7736857533 0.0424701 0.0528093 0.0405269 0.7482218146 0.0431417 0.0542129 0.0405417 0.7231284976 0.0439179 0.0557067 0.0405443 0.6984364390 0.0448235 0.0572765 0.040533 0.6741741300 0.0458534 0.0588931 0.0405142 0.6503677964 0.0469136 0.0605264 0.0404954 0.6270411015 0.0478948 0.0621595 0.0404758 0.6042155027 0.0487527 0.0637684 0.0404464 0.5819097161 0.0494926 0.0653837 0.0403989 0.5601403117 0.0501518 0.067064 0.0403306 0.5389211774 0.0507692 0.068822 0.0402407 0.5182639360 0.0513736 0.0706469 0.0401261 0.4981777668 0.0519686 0.0725203 0.0399844 0.4786696434 0.0525385 0.0744297 0.0398165 0.4597444534 0.0530693 0.0763775 0.0396255 0.4414047599 0.0535326 0.0783184 0.0394132 0.4236514568 0.0539033 0.0801945 0.0391776 0.4064832926 0.0541796 0.0819838 0.038913 0.3898975253 0.0543754 0.0836852 0.0386125 0.3738896847 0.054509 0.0853009 0.0382714 0.3584538698 0.0545939 0.0868266 0.0378886 0.3435828090 0.0546402 0.0882455 0.0374657 0.3292680979 0.0546501 0.0895373 0.0370052 0.3155000210 0.054615 0.0906911 0.0365086 0.3022682071 0.0545273 0.0917101 0.0359767 0.2895611525 0.054398 0.0926101 0.0354095 0.2773668766 0.0542494 0.0934151 0.0348083 0.2656726241 0.0540971 0.0941495 0.0341755 0.2544649839 0.0539468 0.0948365 0.033514 0.2437304854 0.0538006 0.0954925 0.0328274 0.2334550619 0.0536584 0.0961236 0.0321193 0.2236244678 0.05352 0.0967284 0.0313936 0.2142242789 0.0533845 0.0973034 0.0306545 0.2052398920 0.053251 0.0978477 0.0299053 0.1966568232 0.0531176 0.0983619 0.0291487 0.1884605885 0.052982 0.0988454 0.0283873 0.1806365252 0.0528425 0.0992958 0.0276232 0.1731704473 0.0526977 0.0997101 0.0268585 0.1660481691 0.0525468 0.100085 0.0260952 0.1592553854 0.0523892 0.100419 0.0253348 0.1527785659 0.0522243 0.100707 0.0245787 0.1466040015 0.0520515 0.100947 0.0238282 0.1407184601 0.0518703 0.101133 0.0230845 0.1351088881 0.0516804 0.10126 0.0223491 0.1297625899 0.0514815 0.101325 0.0216232 0.1246670485 0.0512736 0.101321 0.0209078 0.1198101044 0.0510561 0.101245 0.0202043 0.1151798964 0.0508287 0.101092 0.0195134 0.1107649803 0.0505907 0.10086 0.018836 0.1065539718 0.0503417 0.100546 0.0181728 0.1025359631 0.0500807 0.100146 0.0175243 0.9870028496E-01 0.0498072 0.0996593 0.0168908 0.9503644705E-01 0.0495202 0.0990841 0.0162725 0.9153443575E-01 0.0492191 0.0984193 0.0156695 0.8818423748E-01 0.0489032 0.0976648 0.0150816 0.8497607708E-01 0.0485717 0.0968207 0.0145086 0.8190065622E-01 0.0482242 0.0958875 0.0139502 0.7894861698E-01 0.0478597 0.0948662 0.013406 0.7611083984E-01 0.0474776 0.0937576 0.0128752 0.7337838411E-01 0.0470771 0.0925631 0.0123575 0.7074236870E-01 0.046657 0.0912833 0.0118519 0.6819415092E-01 0.0462163 0.089919 0.0113576 0.6572508812E-01 0.0457536 0.0884707 0.0108739 0.6332659721E-01 0.0452671 0.0869381 0.0103997 0.6098997593E-01 0.0447549 0.08532 0.00993401 0.5870670080E-01 0.0442145 0.0836147 0.00947576 0.5646824837E-01 0.0436433 0.0818194 0.00902383 0.5426585674E-01 0.0430375 0.0799299 0.00857701 0.5209076405E-01 0.0423934 0.0779413 0.0081341 0.4993396997E-01 0.041706 0.0758471 0.00769381 0.4778635502E-01 0.0409696 0.0736391 0.00725488 0.4563874006E-01 0.0401772 0.071308 0.00681606 0.4348134995E-01 0.0393207 0.0688426 0.00637608 0.4130417109E-01 0.0383902 0.0662304 0.00593371 0.3909707069E-01 0.0373741 0.063457 0.00548788 0.3684926033E-01 0.0362583 0.0605066 0.00503763 0.3454959393E-01 0.035026 0.0573618 0.00458228 0.3218650818E-01 0.0336571 0.0540037 0.00412146 0.2974748611E-01 0.0321272 0.0504124 0.0036553 0.2721953392E-01 0.0304066 0.0465669 0.00318468 0.2458912134E-01 0.0284598 0.0424458 0.00271156 0.2184164524E-01 0.0262434 0.0380271 0.00223934 0.1896178722E-01 0.023704 0.0332886 0.00177365 0.1593327522E-01 0.0207765 0.0282067 0.00132315 0.1273840666E-01 0.0173797 0.022754 0.000900984 0.9358763695E-02 0.0134125 0.0168951 0.000526799 0.5774497986E-02 0.00874655 0.010574 0.000229643 0.1964330673E-02 0.00321538 0.00369396 5.24044e-05 ################################################################################## # # N=1. # rms values (tangential stresses) # NB: these values are in + unit ################################################################################## (1-r) ^+ ^+ ^+ 0.9864360094 0.000155273 -0.0154034 0.0133221 0.9593294859 -0.000465623 -0.0420175 0.0346707 0.9322869778 0.000940443 -0.0630506 0.05617 0.9053508043 0.00187132 -0.0801613 0.0773743 0.8785626888 0.00290246 -0.0945908 0.0983102 0.8519632816 0.00373516 -0.106797 0.119138 0.8255921602 0.00466971 -0.115042 0.139713 0.7994874716 0.00586858 -0.120455 0.160022 0.7736857533 0.00735042 -0.122874 0.179971 0.7482218146 0.00886692 -0.121516 0.199467 0.7231284976 0.0104715 -0.118417 0.21888 0.6984364390 0.0119366 -0.117671 0.238162 0.6741741300 0.013271 -0.118328 0.257197 0.6503677964 0.0144551 -0.11761 0.275862 0.6270411015 0.0157252 -0.11536 0.293868 0.6042155027 0.0169577 -0.111932 0.311166 0.5819097161 0.017835 -0.104251 0.32779 0.5601403117 0.0181841 -0.09016 0.343758 0.5389211774 0.0182511 -0.0701135 0.359097 0.5182639360 0.018196 -0.0462452 0.374001 0.4981777668 0.0181187 -0.0206032 0.388611 0.4786696434 0.0181362 0.0062625 0.402682 0.4597444534 0.0183394 0.0341125 0.416202 0.4414047599 0.0187956 0.061761 0.42944 0.4236514568 0.0196051 0.0889146 0.442579 0.4064832926 0.0207207 0.114955 0.455662 0.3898975253 0.0220814 0.139 0.46872 0.3738896847 0.0235594 0.160326 0.481691 0.3584538698 0.0251134 0.178861 0.494529 0.3435828090 0.0267764 0.195092 0.507262 0.3292680979 0.0285885 0.208901 0.519899 0.3155000210 0.0305232 0.219802 0.532366 0.3022682071 0.0324801 0.228109 0.54448 0.2895611525 0.0343389 0.23473 0.556021 0.2773668766 0.036056 0.240777 0.566849 0.2656726241 0.0376473 0.247172 0.576881 0.2544649839 0.039137 0.254593 0.586065 0.2437304854 0.0405137 0.26335 0.594327 0.2334550619 0.0417561 0.273326 0.601574 0.2236244678 0.042844 0.284275 0.607686 0.2142242789 0.0437781 0.296145 0.612542 0.2052398920 0.0445746 0.309183 0.616068 0.1966568232 0.0452559 0.3238 0.618243 0.1884605885 0.045843 0.340354 0.619073 0.1806365252 0.0463468 0.359017 0.618582 0.1731704473 0.0467661 0.37974 0.616796 0.1660481691 0.0470921 0.402275 0.61374 0.1592553854 0.0473091 0.426233 0.609431 0.1527785659 0.0473997 0.451185 0.603878 0.1466040015 0.0473483 0.47672 0.597078 0.1407184601 0.047141 0.502489 0.589031 0.1351088881 0.04677 0.52822 0.579746 0.1297625899 0.0462313 0.553715 0.569242 0.1246670485 0.045527 0.57883 0.557555 0.1198101044 0.0446626 0.603445 0.544738 0.1151798964 0.0436475 0.62744 0.530861 0.1107649803 0.0424933 0.65068 0.516011 0.1065539718 0.041213 0.673003 0.500284 0.1025359631 0.0398213 0.694233 0.483795 0.9870028496E-01 0.0383334 0.714173 0.466655 0.9503644705E-01 0.0367649 0.732627 0.448982 0.9153443575E-01 0.0351313 0.749401 0.430894 0.8818423748E-01 0.033448 0.764321 0.412502 0.8497607708E-01 0.0317297 0.777223 0.393916 0.8190065622E-01 0.0299903 0.787974 0.375236 0.7894861698E-01 0.0282428 0.796468 0.356552 0.7611083984E-01 0.0264986 0.802617 0.337948 0.7337838411E-01 0.0247683 0.806362 0.319496 0.7074236870E-01 0.0230609 0.807665 0.301256 0.6819415092E-01 0.0213841 0.806504 0.28328 0.6572508812E-01 0.0197447 0.802866 0.26561 0.6332659721E-01 0.0181482 0.796752 0.248279 0.6098997593E-01 0.0165991 0.788162 0.231311 0.5870670080E-01 0.0151011 0.777098 0.214725 0.5646824837E-01 0.0136572 0.763555 0.198533 0.5426585674E-01 0.01227 0.747522 0.182746 0.5209076405E-01 0.010942 0.728976 0.16737 0.4993396997E-01 0.00967518 0.707885 0.152412 0.4778635502E-01 0.00847202 0.684203 0.137882 0.4563874006E-01 0.00733515 0.657871 0.123793 0.4348134995E-01 0.0062675 0.628824 0.110161 0.4130417109E-01 0.00527257 0.596994 0.0970144 0.3909707069E-01 0.00435442 0.562316 0.0843879 0.3684926033E-01 0.00351759 0.524745 0.0723296 0.3454959393E-01 0.00276692 0.484272 0.0609014 0.3218650818E-01 0.0021072 0.440949 0.0501784 0.2974748611E-01 0.00154261 0.394913 0.0402507 0.2721953392E-01 0.00107586 0.346441 0.0312207 0.2458912134E-01 0.000707128 0.295996 0.0231997 0.2184164524E-01 0.000432687 0.244294 0.0162985 0.1896178722E-01 0.000243755 0.192384 0.0106149 0.1593327522E-01 0.000125943 0.141739 0.00621369 0.1273840666E-01 6.02617e-05 0.0943671 0.00310038 0.9358763695E-02 2.65424e-05 0.0529355 0.00118973 0.5774497986E-02 9.16315e-06 0.0208863 0.000274939 0.1964330673E-02 1.69083e-06 0.00250618 1.64334e-05 ################################################################################## # # N=2 # mean values # ################################################################################## (1-r) (1-r)^+ V_z/U_b (V_z)^+ rV_theta V _theta*U_c*2/N+r .9864E+00 154.813 1.66844 26.045 -0.000100591 0.0062036 .9593E+00 150.559 1.66672 26.0181 -0.000904517 0.018476 .9323E+00 146.322 1.6623 25.9491 -0.00249468 0.030851 .9054E+00 142.1 1.65548 25.8426 -0.00482157 0.043632 .8786E+00 137.894 1.64636 25.7003 -0.00782484 0.056945 .8520E+00 133.719 1.63506 25.5239 -0.0114234 0.070815 .8256E+00 129.575 1.6217 25.3153 -0.01553 0.085352 .7995E+00 125.479 1.60646 25.0774 -0.0200434 0.100533 .7737E+00 121.43 1.58944 24.8117 -0.0248726 0.11639 .7482E+00 117.428 1.57092 24.5226 -0.0299239 0.13296 .7231E+00 113.488 1.55112 24.2135 -0.0350998 0.15014 .6984E+00 109.612 1.53016 23.8864 -0.0403239 0.1679 .6742E+00 105.814 1.50804 23.5411 -0.0455143 0.1861 .6504E+00 102.078 1.4848 23.1783 -0.0506396 0.20475 .6270E+00 98.4058 1.4605 22.7989 -0.0556441 0.22382 .6042E+00 94.8274 1.4354 22.4071 -0.0604426 0.24309 .5819E+00 91.3275 1.40964 22.005 -0.0650062 0.26262 .5601E+00 87.906 1.38332 21.5941 -0.0693062 0.28235 .5389E+00 84.5787 1.35658 21.1767 -0.0733149 0.3021 .5183E+00 81.3456 1.32958 20.7552 -0.0770094 0.32183 .4982E+00 78.191 1.30256 20.3334 -0.0803683 0.34164 .4787E+00 75.1305 1.27566 19.9135 -0.0833454 0.36142 .4597E+00 72.1485 1.24898 19.497 -0.0859401 0.38124 .4414E+00 69.2764 1.22268 19.0865 -0.088108 0.40087 .4237E+00 66.4984 1.19696 18.685 -0.0898394 0.42041 .4065E+00 63.799 1.1719 18.2938 -0.091126 0.43996 .3899E+00 61.1936 1.14764 17.9151 -0.0919543 0.45938 .3739E+00 58.6825 1.1243 17.5507 -0.0923184 0.47865 .3585E+00 56.2655 1.1019 17.2011 -0.0922285 0.49773 .3436E+00 53.927 1.0805 16.867 -0.0917385 0.51664 .3293E+00 51.6826 1.06008 16.5482 -0.0908731 0.53521 .3155E+00 49.5168 1.04062 16.2445 -0.0896763 0.55349 .3023E+00 47.4451 1.02204 15.9544 -0.0881753 0.57132 .2896E+00 45.4519 1.00428 15.6772 -0.0864131 0.58876 .2774E+00 43.5371 0.9873 15.4121 -0.0844358 0.60575 .2657E+00 41.7008 0.97102 15.158 -0.0822563 0.62228 .2545E+00 39.943 0.95536 14.9135 -0.0799176 0.6383 .2437E+00 38.248 0.94032 14.6787 -0.0774451 0.6539 .2335E+00 36.6471 0.92578 14.4518 -0.0748579 0.668838 .2236E+00 35.0933 0.91176 14.2329 -0.072199 0.683408 .2142E+00 33.618 0.89816 14.0206 -0.069471 0.697392 .2052E+00 32.2055 0.88496 13.8145 -0.0667012 0.710878 .1967E+00 30.8715 0.87214 13.6144 -0.0638937 0.723761 .1885E+00 29.5845 0.85964 13.4193 -0.0610767 0.736236 .1806E+00 28.3446 0.84742 13.2285 -0.0582618 0.748297 .1732E+00 27.1832 0.83546 13.0418 -0.0554452 0.75974 .1660E+00 26.0532 0.82372 12.8586 -0.0526579 0.770861 .1593E+00 25.0017 0.81212 12.6775 -0.0498913 0.781355 .1528E+00 23.9815 0.80066 12.4986 -0.0471738 0.791518 .1466E+00 23.0084 0.7893 12.3213 -0.0445082 0.801246 .1407E+00 22.0824 0.778 12.1449 -0.0419029 0.810536 .1351E+00 21.2035 0.76674 11.9691 -0.0393651 0.819386 .1298E+00 20.3717 0.75548 11.7933 -0.0369008 0.827795 .1247E+00 19.5713 0.74422 11.6175 -0.0345201 0.835862 .1198E+00 18.8023 0.73294 11.4415 -0.0322268 0.843587 .1152E+00 18.0803 0.72162 11.2648 -0.0300213 0.85087 .1108E+00 17.3897 0.71026 11.0874 -0.0279075 0.857815 .1066E+00 16.7306 0.69884 10.9091 -0.0258889 0.864422 .1025E+00 16.0871 0.68734 10.7296 -0.0239695 0.870793 .9870E-01 15.4907 0.67576 10.5489 -0.0221422 0.876733 .9504E-01 14.9162 0.66412 10.3672 -0.0204114 0.882405 .9153E-01 14.3654 0.65238 10.1839 -0.0187772 0.887801 .8818E-01 13.8396 0.64054 9.99906 -0.0172352 0.892918 .8498E-01 13.3374 0.62862 9.81299 -0.015785 0.897769 .8190E-01 12.854 0.61662 9.62566 -0.0144252 0.902388 .7895E-01 12.391 0.6045 9.43647 -0.0131508 0.906772 .7611E-01 11.9452 0.59228 9.24571 -0.0119588 0.910946 .7338E-01 11.5168 0.57994 9.05308 -0.010847 0.914914 .7074E-01 11.1024 0.5675 8.85888 -0.0098102 0.918703 .6819E-01 10.7022 0.5549 8.66219 -0.00884595 0.922317 .6573E-01 10.3161 0.54218 8.46363 -0.00794961 0.925761 .6333E-01 9.93945 0.52928 8.26225 -0.00711776 0.929071 .6099E-01 9.5722 0.51622 8.05838 -0.00634639 0.932251 .5871E-01 9.21436 0.50292 7.85076 -0.00563211 0.935307 .5647E-01 8.8628 0.48938 7.6394 -0.00497146 0.938261 .5427E-01 8.51751 0.47558 7.42398 -0.00436133 0.941118 .5209E-01 8.17537 0.46144 7.20325 -0.00379884 0.943902 .4993E-01 7.83636 0.44694 6.9769 -0.00328145 0.946616 .4779E-01 7.5005 0.43198 6.74337 -0.00280664 0.949263 .4564E-01 7.16306 0.41656 6.50265 -0.00237273 0.951874 .4348E-01 6.82406 0.40056 6.25289 -0.00197799 0.954452 .4130E-01 6.48191 0.3839 5.99282 -0.00162116 0.957009 .3910E-01 6.13663 0.36652 5.72151 -0.00130115 0.959546 .3685E-01 5.7835 0.3483 5.43709 -0.00101738 0.962094 .3455E-01 5.42252 0.32914 5.138 -0.000769126 0.964653 .3219E-01 5.05212 0.30894 4.82267 -0.000555987 0.967236 .2975E-01 4.66917 0.28754 4.4886 -0.000377388 0.969861 .2722E-01 4.2721 0.26484 4.13425 -0.000232543 0.972541 .2459E-01 3.85933 0.2407 3.75741 -0.000120239 0.975287 .2184E-01 3.42772 0.215 3.35623 -3.86393e-05 0.97812 .1896E-01 2.97572 0.187556 2.92782 1.4954e-05 0.981055 .1593E-01 2.50017 0.158266 2.47059 4.41395e-05 0.984115 .1274E-01 1.9995 0.126982 1.98224 5.33644e-05 0.987314 .9359E-02 1.46887 0.09357 1.46066 4.76261e-05 0.990689 .5774E-02 0.906212 0.05788 0.903528 3.20061e-05 0.994258 .1964E-02 0.308244 0.0197434 0.308202 1.11141e-05 0.998047 ################################################################################## # # N=2 # rms values (normal stresses) # NB: these values are scaled with the centerline axial velocity U_c ################################################################################## (1-r) (V_t')^2/U_c (V_r')^2/U_c (V_z')^2/U_c .9864E+00 0.0467482 0.0357794 0.0466439 .9593E+00 0.0467866 0.0366199 0.0467662 .9323E+00 0.0464365 0.0377254 0.0467398 .9054E+00 0.0458381 0.039301 0.0466103 .8786E+00 0.0450935 0.0411415 0.0464125 .8520E+00 0.0442938 0.04297 0.0461739 .8256E+00 0.0435096 0.044771 0.0459101 .7995E+00 0.0427794 0.0466343 0.0456211 .7737E+00 0.0421763 0.0485384 0.0453106 .7482E+00 0.0418177 0.0504916 0.0449904 .7231E+00 0.0417662 0.0525659 0.0446751 .6984E+00 0.04197 0.0548177 0.0443777 .6742E+00 0.0423597 0.0572062 0.0441055 .6504E+00 0.0429137 0.0596307 0.0438609 .6270E+00 0.0435887 0.0620264 0.0436451 .6042E+00 0.0443405 0.064307 0.0434508 .5819E+00 0.0451547 0.06647 0.0432686 .5601E+00 0.0460312 0.0686127 0.0430899 .5389E+00 0.0469317 0.0708058 0.0429161 .5183E+00 0.0478022 0.0730827 0.0427446 .4982E+00 0.0486103 0.0753753 0.0425671 .4787E+00 0.0493369 0.0775432 0.0423729 .4597E+00 0.0499556 0.0795108 0.0421583 .4414E+00 0.0504472 0.081223 0.0419209 .4237E+00 0.0508058 0.0826547 0.0416559 .4065E+00 0.0510372 0.0837938 0.0413573 .3899E+00 0.0511631 0.0846475 0.041018 .3739E+00 0.0512194 0.085253 0.0406295 .3585E+00 0.0512698 0.0856475 0.0401871 .3436E+00 0.0513621 0.0858609 0.0396942 .3293E+00 0.0515132 0.0859149 0.0391571 .3155E+00 0.0517302 0.0858273 0.0385827 .3023E+00 0.0520156 0.0856307 0.0379808 .2896E+00 0.0523597 0.0853513 0.0373585 .2774E+00 0.0527482 0.0850096 0.036723 .2657E+00 0.0531607 0.0846259 0.0360803 .2545E+00 0.0535803 0.084211 0.0354341 .2437E+00 0.053994 0.0837818 0.0347878 .2335E+00 0.0543909 0.0833669 0.0341451 .2236E+00 0.0547626 0.082994 0.0335072 .2142E+00 0.0551031 0.082693 0.0328777 .2052E+00 0.0554077 0.0824748 0.0322566 .1967E+00 0.0556739 0.0823369 0.0316415 .1885E+00 0.0559029 0.0822686 0.0310336 .1806E+00 0.0560947 0.0822566 0.0304293 .1732E+00 0.056253 0.0822878 0.0298273 .1660E+00 0.0563825 0.0823489 0.0292278 .1593E+00 0.0564892 0.0824305 0.0286271 .1528E+00 0.0565767 0.0825276 0.028024 .1466E+00 0.0566523 0.0826331 0.0274185 .1407E+00 0.0567182 0.082747 0.0268094 .1351E+00 0.056777 0.0828657 0.0261954 .1298E+00 0.0568297 0.0829868 0.0255779 .1247E+00 0.0568741 0.0831079 0.024958 .1198E+00 0.0569101 0.0832266 0.0243345 .1152E+00 0.0569365 0.0833369 0.0237086 .1108E+00 0.0569532 0.0834365 0.0230803 .1066E+00 0.0569568 0.0835192 0.022452 .1025E+00 0.0569472 0.0835803 0.0218237 .9870E-01 0.0569257 0.0836139 0.0211966 .9504E-01 0.0568897 0.0836151 0.0205719 .9153E-01 0.0568381 0.0835791 0.0199484 .8818E-01 0.0567722 0.0835012 0.0193297 .8498E-01 0.0566894 0.0833753 0.0187158 .8190E-01 0.0565887 0.0831978 0.0181055 .7895E-01 0.0564712 0.0829652 0.0175 .7611E-01 0.0563321 0.0826727 0.0169005 .7338E-01 0.0561727 0.0823153 0.0163058 .7074E-01 0.0559904 0.0818909 0.015717 .6819E-01 0.055783 0.0813945 0.0151319 .6573E-01 0.0555492 0.0808237 0.0145528 .6333E-01 0.0552854 0.0801727 0.0139772 .6099E-01 0.0549904 0.0794365 0.0134053 .5871E-01 0.0546583 0.0786115 0.0128369 .5647E-01 0.0542878 0.0776906 0.0122686 .5427E-01 0.0538729 0.0766655 0.0117016 .5209E-01 0.0534077 0.0755288 0.0111335 .4993E-01 0.0528873 0.074271 0.0105633 .4779E-01 0.0523022 0.0728801 0.00998957 .4564E-01 0.0516451 0.0713405 0.00941079 .4348E-01 0.0509017 0.0696379 0.00882542 .4130E-01 0.05006 0.0677518 0.00823213 .3910E-01 0.0491019 0.0656607 0.00762938 .3685E-01 0.0480084 0.0633369 0.00701619 .3455E-01 0.046753 0.0607542 0.00639173 .3219E-01 0.0453046 0.0578777 0.00575576 .2975E-01 0.0436247 0.0546703 0.00510863 .2722E-01 0.0416655 0.0510947 0.00445204 .2459E-01 0.0393693 0.0471067 0.00378933 .2184E-01 0.0366631 0.0426655 0.00312602 .1896E-01 0.0334544 0.0377338 0.0024711 .1593E-01 0.0296331 0.0322734 0.00183789 .1274E-01 0.0250564 0.0262578 0.00124616 .9359E-02 0.0195492 0.0196535 0.000724424 .5774E-02 0.0128897 0.0124053 0.000313393 .1964E-02 0.00480084 0.00439101 7.08309e-05 ################################################################################## # # N=2. # rms values (tangential stresses) # NB: these values are in + unit ################################################################################## (1-r) ^+ ^+ ^+ .9864E+00 -3.42005e-05 0.0309868 0.0119795 .9593E+00 -0.000237202 0.0933444 0.0266473 .9323E+00 0.00314537 0.153443 0.0446184 .9054E+00 0.00675881 0.20601 0.0632524 .8786E+00 0.0111841 0.245935 0.0825171 .8520E+00 0.0154378 0.274719 0.100242 .8256E+00 0.0191818 0.295842 0.116422 .7995E+00 0.0218682 0.308864 0.131648 .7737E+00 0.0236695 0.311603 0.146473 .7482E+00 0.0254893 0.307217 0.16164 .7231E+00 0.0273891 0.301456 0.178084 .6984E+00 0.0296855 0.300062 0.19674 .6742E+00 0.0322198 0.305716 0.21643 .6504E+00 0.0343165 0.31711 0.235203 .6270E+00 0.0366763 0.330688 0.253275 .6042E+00 0.0399378 0.345329 0.271044 .5819E+00 0.0436008 0.362728 0.287254 .5601E+00 0.0476245 0.386609 0.301134 .5389E+00 0.0522272 0.418054 0.313864 .5183E+00 0.0572822 0.454626 0.326965 .4982E+00 0.0620145 0.490857 0.340543 .4787E+00 0.0663462 0.521161 0.35454 .4597E+00 0.07091 0.541679 0.36997 .4414E+00 0.0760946 0.549643 0.387506 .4237E+00 0.081979 0.543541 0.407098 .4065E+00 0.0879785 0.522662 0.42746 .3899E+00 0.0933015 0.487942 0.447149 .3739E+00 0.0974471 0.442208 0.46565 .3585E+00 0.100534 0.390108 0.483293 .3436E+00 0.103059 0.336566 0.500555 .3293E+00 0.105369 0.284252 0.517486 .3155E+00 0.107533 0.234531 0.533862 .3023E+00 0.109541 0.189147 0.549409 .2896E+00 0.111324 0.149836 0.563835 .2774E+00 0.112845 0.117387 0.576896 .2657E+00 0.114054 0.0914885 0.588505 .2545E+00 0.114931 0.0712394 0.598584 .2437E+00 0.115545 0.0557255 0.607289 .2335E+00 0.115954 0.044364 0.61494 .2236E+00 0.116286 0.0370214 0.62189 .2142E+00 0.116656 0.0338827 0.628431 .2052E+00 0.117163 0.0350319 0.634659 .1967E+00 0.117836 0.0403014 0.640527 .1885E+00 0.118645 0.0493459 0.645878 .1806E+00 0.119522 0.0616529 0.650547 .1732E+00 0.120399 0.0766385 0.654349 .1660E+00 0.121228 0.093823 0.657127 .1593E+00 0.121939 0.112903 0.658784 .1528E+00 0.122514 0.133695 0.659252 .1466E+00 0.122914 0.156074 0.658501 .1407E+00 0.123138 0.179907 0.656532 .1351E+00 0.123148 0.204977 0.653374 .1298E+00 0.122943 0.23107 0.649036 .1247E+00 0.122514 0.257963 0.643558 .1198E+00 0.121851 0.285412 0.63695 .1152E+00 0.120935 0.313192 0.62923 .1108E+00 0.119775 0.341108 0.620428 .1066E+00 0.118352 0.368976 0.610573 .1025E+00 0.116676 0.3966 0.599695 .9870E-01 0.114736 0.423834 0.587833 .9504E-01 0.112543 0.450493 0.575025 .9153E-01 0.110096 0.47643 0.56131 .8818E-01 0.107416 0.501481 0.546748 .8498E-01 0.104521 0.525479 0.531386 .8190E-01 0.101421 0.548259 0.515293 .7895E-01 0.0981265 0.569674 0.498537 .7611E-01 0.0946593 0.589548 0.481187 .7338E-01 0.091045 0.607747 0.463291 .7074E-01 0.0872982 0.624122 0.444937 .6819E-01 0.0834363 0.638509 0.426163 .6573E-01 0.0794779 0.650801 0.407029 .6333E-01 0.0754395 0.66084 0.387603 .6099E-01 0.071334 0.668502 0.367913 .5871E-01 0.0671757 0.673648 0.348 .5647E-01 0.0629776 0.676153 0.327901 .5427E-01 0.0587511 0.675851 0.307646 .5209E-01 0.0545071 0.672586 0.287264 .4993E-01 0.0502553 0.666201 0.266775 .4779E-01 0.0460084 0.656483 0.246208 .4564E-01 0.041779 0.643227 0.225602 .4348E-01 0.0375818 0.626208 0.204996 .4130E-01 0.0334344 0.605164 0.184439 .3910E-01 0.029357 0.579869 0.164009 .3685E-01 0.0253791 0.550072 0.143812 .3455E-01 0.0215328 0.515566 0.123967 .3219E-01 0.0178571 0.476226 0.104647 .2975E-01 0.0144007 0.432051 0.08607 .2722E-01 0.0112172 0.383226 0.0685072 .2459E-01 0.00836322 0.330269 0.052275 .2184E-01 0.00589617 0.274076 0.0377339 .1896E-01 0.00386355 0.216128 0.0252641 .1593E-01 0.00229306 0.15856 0.0152127 .1274E-01 0.00118138 0.104316 0.00781922 .9359E-02 0.000486363 0.0571623 0.0031018 .5774E-02 0.000130702 0.0216108 0.000747962 .1964E-02 1.34104e-05 0.00234521 4.87231e-05