# Velocity profile of pipe flow acquired in CICLoPE Facility of Univ. Bologna # including variances and covariances up to y=20mm from wall. # All data normalized with inner variables! # # The following paper should be cited as the source of this data: # Willert CE, Soria J, Stanislas M, et al. (2017): # "Near-wall statistics of a turbulent pipe flow at shear Reynolds numbers up to 40 000." # Journal of Fluid Mechanics 826(R5), http://doi.org/10.1017/jfm.2017.498 # # Original file name: ../data/profiles/profile_u05mps.dat # Friction velocity [m/s]: 0.179107 # Viscous unit [m]: 8.35977e-05 # Effective PIV sample size, streamwise [in wall units]: 8.72 # Effective PIV sample size, wall-normal [in wall units]: 0.82 # Effective PIV sample size, spanwise [in wall units]: 3.59 # # Variables: # y - wall-normal distance in viscous units # U_mean - mean streamwise velocity # V_mean - mean wall-normal velocity # uu - streamwise velocity variance # vv - wall-normal velocity variance # uv - co-variance of streamwise and wall-normal velocities TITLE = "Re_tau = 5383" VARIABLES = "y", "U_mean", "V_mean", "uu", "vv", "uv" ZONE I=1006 F=POINT T="Re_tau = 5383" -2.86037 2.52264 -0.00463685 1.16296 0.0510859 0.0231542 -2.58794 2.2943 -0.00317711 0.994662 0.0495318 0.016621 -2.31553 2.0479 -0.00441258 0.790261 0.0403948 0.0122284 -2.0431 1.80225 -0.00607508 0.615726 0.0370163 0.00838228 -1.77068 1.55299 -0.00725852 0.466851 0.0334844 0.00563599 -1.49827 1.30022 -0.00748115 0.349332 0.0321944 0.00502065 -1.22584 1.03857 -0.00931127 0.253301 0.0316081 0.00305711 -0.953416 0.78178 -0.0176437 0.179251 0.0318834 0.000748585 -0.680995 0.492905 -0.086274 0.101188 0.0430915 0.0021676 -0.408572 0.288911 -0.123632 0.0430666 0.0618975 0.00574199 -0.13615 0.327721 -0.0916728 0.0460748 0.0558516 0.0110561 0.136272 0.468013 -0.0157566 0.067749 0.0184338 0.00619491 0.408694 0.672184 -0.0100157 0.102388 0.00836475 0.00167439 0.681115 0.901804 -0.00798218 0.157327 0.00807363 0.000907566 0.953538 1.15441 -0.00661587 0.238259 0.0081877 0.000635625 1.22596 1.41337 -0.00485788 0.346431 0.00930663 -0.000306668 1.49839 1.67531 -0.00295361 0.475132 0.010432 -0.00181424 1.7708 1.93721 -0.00157811 0.627426 0.0118346 -0.00363115 2.04322 2.19881 -0.000545808 0.803865 0.0135894 -0.00576202 2.31565 2.45857 0.000645527 0.999993 0.0155943 -0.00916774 2.58807 2.7151 0.00158612 1.21134 0.0180279 -0.0131751 2.86049 2.97019 0.00117258 1.44353 0.0206309 -0.0180443 3.13291 3.2238 0.00255328 1.69715 0.0237058 -0.0235017 3.40534 3.47409 0.00340356 1.96383 0.0269185 -0.0308047 3.67776 3.72476 0.00399277 2.24771 0.0305158 -0.0405422 3.95018 3.97353 0.00542552 2.54873 0.0347315 -0.0507775 4.2226 4.22125 0.00682923 2.86238 0.0390815 -0.0627464 4.49503 4.4647 0.00787422 3.17508 0.0438822 -0.0758231 4.76745 4.70333 0.00860856 3.48378 0.048937 -0.0890795 5.03986 4.94081 0.00978305 3.8096 0.0540068 -0.104494 5.31229 5.17263 0.0112618 4.12363 0.0599815 -0.120233 5.58471 5.39998 0.0131943 4.43394 0.0655455 -0.135016 5.85714 5.62395 0.0141387 4.74503 0.0720505 -0.152732 6.12955 5.84212 0.0146673 5.04302 0.0788067 -0.170846 6.40198 6.05551 0.0161118 5.33794 0.085477 -0.188493 6.6744 6.26307 0.0173319 5.6105 0.0925309 -0.20622 6.94683 6.46624 0.0180254 5.87265 0.0998287 -0.222569 7.21924 6.6659 0.0186417 6.12537 0.1073 -0.239241 7.49167 6.85994 0.0198308 6.36632 0.115 -0.257385 7.76409 7.0486 0.0203402 6.59118 0.123213 -0.274285 8.0365 7.23251 0.0203808 6.80144 0.131274 -0.291743 8.30893 7.41196 0.0210912 7.00629 0.139835 -0.308322 8.58135 7.58641 0.0217627 7.19647 0.148244 -0.323953 8.85378 7.75628 0.0226058 7.38672 0.157156 -0.341267 9.12619 7.92257 0.0235107 7.55351 0.166128 -0.356445 9.39862 8.08281 0.0240236 7.71361 0.175315 -0.372845 9.67104 8.24099 0.0244231 7.87166 0.184229 -0.388946 9.94347 8.39349 0.0252925 8.01705 0.193365 -0.40411 10.2159 8.54223 0.0262806 8.14026 0.202961 -0.418153 10.4883 8.68619 0.0257703 8.25427 0.21275 -0.434637 10.7607 8.82452 0.0266481 8.35778 0.221963 -0.448916 11.0332 8.96011 0.027198 8.46029 0.232376 -0.464538 11.3056 9.09218 0.0275055 8.55328 0.241334 -0.478664 11.578 9.22004 0.0277281 8.62535 0.251598 -0.49234 11.8504 9.3458 0.0275174 8.69502 0.260973 -0.504876 12.1229 9.46724 0.0277468 8.75952 0.270601 -0.516953 12.3953 9.5842 0.0282821 8.82171 0.281833 -0.531656 12.6676 9.69754 0.0287311 8.87939 0.292108 -0.544523 12.9401 9.80932 0.0286184 8.92989 0.302543 -0.557705 13.2125 9.91716 0.0289974 8.9694 0.313173 -0.569175 13.485 10.0228 0.0291349 9.01549 0.322263 -0.578937 13.7574 10.1248 0.0290977 9.04473 0.331849 -0.589251 14.0298 10.2237 0.0297315 9.07014 0.343097 -0.6009 14.3023 10.3212 0.030301 9.09823 0.352847 -0.611333 14.5746 10.4154 0.0309149 9.11511 0.362474 -0.617535 14.847 10.5076 0.031326 9.13016 0.372724 -0.62725 15.1195 10.5968 0.0313886 9.14422 0.383352 -0.638279 15.3919 10.6828 0.0323783 9.15614 0.393773 -0.646813 15.6644 10.7665 0.0325113 9.16835 0.403172 -0.655359 15.9368 10.8498 0.0324353 9.16797 0.412937 -0.664533 16.2091 10.9302 0.032792 9.16561 0.42272 -0.672452 16.4816 11.009 0.0329489 9.16296 0.432529 -0.679015 16.754 11.0846 0.033732 9.1607 0.443165 -0.68724 17.0264 11.1592 0.0335898 9.15343 0.453064 -0.693296 17.2989 11.231 0.0337943 9.14029 0.462627 -0.698829 17.5713 11.3018 0.0344919 9.13448 0.472632 -0.705556 17.8438 11.3709 0.0346717 9.12215 0.480697 -0.713603 18.1161 11.4378 0.0352378 9.10962 0.490482 -0.721466 18.3885 11.5042 0.0358506 9.09286 0.500373 -0.72742 18.661 11.5689 0.0356918 9.07885 0.510178 -0.731694 18.9334 11.6331 0.0355647 9.05864 0.520085 -0.7382 19.2058 11.6931 0.0363872 9.04188 0.528907 -0.744095 19.4783 11.7534 0.0368391 9.02221 0.537767 -0.751023 19.7506 11.8107 0.0361423 9.00226 0.546505 -0.757596 20.0231 11.8686 0.0355244 8.97901 0.556077 -0.762307 20.2955 11.9228 0.0361013 8.95242 0.564037 -0.766249 20.5679 11.9783 0.0361982 8.92537 0.57295 -0.77141 20.8404 12.0312 0.0375249 8.90084 0.582525 -0.774892 21.1128 12.0845 0.0369019 8.8745 0.591168 -0.781217 21.3851 12.1359 0.0366947 8.84948 0.600919 -0.788513 21.6576 12.1859 0.036888 8.82049 0.60929 -0.7937 21.93 12.2358 0.0374202 8.79356 0.617382 -0.798806 22.2025 12.284 0.0379288 8.76828 0.626008 -0.800718 22.4749 12.3311 0.0382804 8.74058 0.635282 -0.805098 22.7473 12.3776 0.0383253 8.71235 0.644952 -0.810125 23.0198 12.423 0.0384635 8.68537 0.652765 -0.813776 23.2921 12.4681 0.0388987 8.65559 0.661071 -0.817001 23.5645 12.5125 0.0384589 8.62275 0.669474 -0.821559 23.837 12.5539 0.0387256 8.58729 0.676692 -0.823445 24.1094 12.5973 0.0380477 8.55411 0.685783 -0.827773 24.3818 12.6389 0.0386279 8.52479 0.692716 -0.831673 24.6543 12.6791 0.0390014 8.49684 0.700589 -0.833309 24.9266 12.7196 0.0392996 8.46252 0.70658 -0.836138 25.1991 12.759 0.0396453 8.42803 0.714526 -0.837493 25.4715 12.7975 0.0398321 8.39519 0.722832 -0.842914 25.7439 12.8353 0.0400991 8.36166 0.731518 -0.847097 26.0164 12.8716 0.0402765 8.32938 0.738529 -0.850287 26.2888 12.9092 0.0407607 8.30271 0.746285 -0.853116 26.5611 12.946 0.0413142 8.27561 0.754149 -0.852982 26.8336 12.9814 0.04158 8.24684 0.761798 -0.856633 27.106 13.017 0.0416805 8.21348 0.770417 -0.857784 27.3785 13.0513 0.041197 8.18321 0.77778 -0.860991 27.6509 13.0849 0.0408959 8.15129 0.783926 -0.862989 27.9233 13.1193 0.0410639 8.12798 0.792233 -0.866221 28.1958 13.1527 0.0408255 8.09493 0.798045 -0.868707 28.4681 13.1851 0.0408018 8.06334 0.805322 -0.870349 28.7405 13.2157 0.0410122 8.03017 0.811781 -0.872163 29.013 13.2471 0.0414403 7.99286 0.818378 -0.874189 29.2854 13.2781 0.0408995 7.96586 0.823331 -0.874839 29.5579 13.3085 0.041522 7.93519 0.830772 -0.876072 29.8303 13.3389 0.0418105 7.90857 0.837387 -0.878083 30.1027 13.3685 0.0414323 7.87758 0.844034 -0.881063 30.3751 13.3976 0.0414811 7.84543 0.850091 -0.88213 30.6475 13.4264 0.0407896 7.81628 0.857802 -0.886585 30.9199 13.4546 0.0417249 7.78623 0.861779 -0.885096 31.1924 13.4823 0.0417398 7.76377 0.868383 -0.887308 31.4648 13.5095 0.0420691 7.73431 0.872654 -0.887986 31.7373 13.5373 0.0421464 7.71104 0.878017 -0.889355 32.0097 13.5644 0.0421041 7.68171 0.884763 -0.890558 32.282 13.5915 0.0409224 7.65718 0.891626 -0.892107 32.5545 13.6166 0.0414365 7.63216 0.896464 -0.893502 32.8269 13.6421 0.0412614 7.60839 0.902009 -0.896083 33.0993 13.6675 0.0412564 7.58328 0.906554 -0.895715 33.3718 13.6926 0.0406579 7.55917 0.911684 -0.897394 33.6442 13.7172 0.0413537 7.53158 0.917365 -0.897411 33.9166 13.741 0.0418798 7.50809 0.922896 -0.899168 34.189 13.7658 0.042935 7.48222 0.927538 -0.90009 34.4614 13.789 0.0422621 7.45801 0.933372 -0.90132 34.7339 13.8127 0.0422042 7.43482 0.936043 -0.901903 35.0063 13.8362 0.0423793 7.4156 0.942596 -0.904562 35.2787 13.8594 0.0426121 7.39141 0.948305 -0.905209 35.5512 13.8816 0.0439943 7.37248 0.955068 -0.905527 35.8235 13.9033 0.0445079 7.34927 0.958374 -0.906688 36.096 13.9262 0.0442295 7.32656 0.963491 -0.908339 36.3684 13.9474 0.0438727 7.30742 0.967606 -0.90858 36.6408 13.9687 0.0434249 7.28541 0.9718 -0.907502 36.9133 13.9901 0.0430286 7.26565 0.975483 -0.909043 37.1857 14.0108 0.0429133 7.24186 0.981387 -0.91135 37.458 14.0305 0.0432512 7.22528 0.984453 -0.914221 37.7305 14.0512 0.0428124 7.20145 0.988936 -0.915253 38.0029 14.0718 0.0426835 7.18134 0.993954 -0.916174 38.2754 14.0915 0.0432696 7.16145 0.996738 -0.916143 38.5478 14.1115 0.0435894 7.1451 1.00207 -0.918877 38.8202 14.1308 0.0445734 7.12599 1.00563 -0.919154 39.0927 14.1502 0.0444735 7.10238 1.00894 -0.918328 39.365 14.1686 0.0450786 7.08432 1.01317 -0.919145 39.6374 14.1873 0.0446772 7.06452 1.01689 -0.920264 39.9099 14.207 0.044863 7.04406 1.02125 -0.921118 40.1823 14.2253 0.0451962 7.02778 1.02671 -0.923069 40.4548 14.2433 0.0446787 7.01098 1.02852 -0.923147 40.7272 14.2611 0.04483 6.99396 1.03364 -0.923596 40.9995 14.2789 0.0445425 6.97537 1.03749 -0.925817 41.272 14.2962 0.0445197 6.95498 1.03857 -0.924469 41.5444 14.3139 0.0450363 6.93631 1.04282 -0.925283 41.8168 14.3305 0.0453033 6.92005 1.04479 -0.925629 42.0893 14.3481 0.0460364 6.90476 1.04931 -0.926481 42.3617 14.3641 0.0454112 6.88882 1.05201 -0.926629 42.6342 14.3814 0.0460643 6.87438 1.05689 -0.927262 42.9065 14.3974 0.0464367 6.86176 1.06078 -0.928746 43.1789 14.4141 0.0466559 6.84413 1.06453 -0.929089 43.4514 14.43 0.0466095 6.8255 1.06682 -0.929536 43.7238 14.4463 0.046446 6.8073 1.07183 -0.930431 43.9962 14.4623 0.0464127 6.78847 1.07507 -0.929948 44.2687 14.4781 0.0459487 6.77959 1.0796 -0.932007 44.541 14.4933 0.0463923 6.75953 1.08052 -0.932276 44.8135 14.5092 0.0466431 6.74654 1.08196 -0.931765 45.0859 14.5252 0.0471372 6.72792 1.08608 -0.930679 45.3583 14.5394 0.0477282 6.71302 1.08953 -0.929692 45.6308 14.5549 0.0475874 6.69834 1.09186 -0.9307 45.9032 14.5699 0.047553 6.68719 1.09516 -0.932451 46.1755 14.5856 0.0479325 6.67187 1.09729 -0.934335 46.448 14.6002 0.047798 6.65909 1.10053 -0.933483 46.7204 14.615 0.0479779 6.64525 1.10459 -0.933191 46.9929 14.6294 0.0473648 6.62888 1.10685 -0.932368 47.2653 14.6439 0.0480294 6.61556 1.10832 -0.932744 47.5377 14.6583 0.0488255 6.60337 1.11274 -0.933953 47.8102 14.6726 0.0487909 6.58841 1.11266 -0.931661 48.0825 14.6867 0.0487974 6.57405 1.11784 -0.931427 48.3549 14.7004 0.0486229 6.56001 1.11801 -0.931598 48.6274 14.7145 0.0481816 6.54652 1.12056 -0.931975 48.8998 14.7275 0.0484436 6.53401 1.12353 -0.932487 49.1723 14.7412 0.0490101 6.52414 1.12754 -0.933427 49.4447 14.7549 0.0493127 6.51002 1.13092 -0.9334 49.717 14.7681 0.049181 6.49535 1.13241 -0.933933 49.9895 14.7811 0.0500218 6.4834 1.13444 -0.933155 50.2619 14.7934 0.0502086 6.47084 1.1386 -0.934117 50.5343 14.807 0.0502925 6.46124 1.13746 -0.93311 50.8068 14.8204 0.0498943 6.45506 1.1401 -0.934968 51.0792 14.8338 0.0496728 6.44437 1.13992 -0.932993 51.3517 14.8482 0.0495235 6.4307 1.14455 -0.931972 51.624 14.8608 0.0508682 6.41769 1.1474 -0.932906 51.8964 14.8733 0.0512328 6.40837 1.14946 -0.933946 52.1689 14.8866 0.051823 6.39785 1.14981 -0.931198 52.4413 14.8999 0.0515985 6.38853 1.15254 -0.933264 52.7137 14.9127 0.0513699 6.37503 1.15417 -0.934588 52.9862 14.9249 0.0505602 6.36485 1.15698 -0.933935 53.2585 14.9373 0.0512834 6.35777 1.16039 -0.934398 53.531 14.9497 0.052076 6.35134 1.16248 -0.935641 53.8034 14.9616 0.0522856 6.34208 1.1632 -0.935898 54.0758 14.9737 0.052605 6.33001 1.1663 -0.936709 54.3483 14.9859 0.05232 6.32144 1.16546 -0.934871 54.6207 14.9975 0.0524468 6.30837 1.1674 -0.934719 54.893 15.0094 0.0530059 6.30113 1.16884 -0.936132 55.1655 15.0217 0.0524222 6.29295 1.16963 -0.935688 55.4379 15.034 0.0529632 6.28318 1.17159 -0.934444 55.7104 15.0453 0.0529537 6.27531 1.1746 -0.935174 55.9828 15.0578 0.052606 6.2622 1.17742 -0.936025 56.2552 15.0686 0.052801 6.25868 1.17942 -0.935736 56.5277 15.0799 0.0535535 6.24876 1.18048 -0.935621 56.8 15.0923 0.0541724 6.24002 1.18184 -0.935434 57.0724 15.1035 0.0538137 6.23656 1.18149 -0.934899 57.3449 15.1142 0.053127 6.22755 1.184 -0.935892 57.6173 15.1245 0.0532089 6.22188 1.18478 -0.936773 57.8898 15.1356 0.0536855 6.20924 1.18779 -0.936848 58.1622 15.1466 0.0534045 6.20292 1.1895 -0.938102 58.4345 15.1581 0.0536721 6.19814 1.18924 -0.938099 58.707 15.1696 0.0529945 6.19276 1.18998 -0.937781 58.9794 15.1805 0.0534707 6.18639 1.19081 -0.936866 59.2518 15.1916 0.0536371 6.17939 1.19105 -0.93602 59.5243 15.2024 0.0533589 6.17091 1.19354 -0.937565 59.7967 15.2132 0.0534664 6.16058 1.19584 -0.937345 60.0692 15.2245 0.0538402 6.15613 1.19669 -0.937183 60.3415 15.2348 0.0545819 6.14889 1.19817 -0.937894 60.6139 15.2456 0.0542928 6.14689 1.19997 -0.938356 60.8864 15.2558 0.0542755 6.14059 1.19981 -0.938213 61.1588 15.2668 0.0551062 6.13752 1.20182 -0.937633 61.4312 15.2778 0.0541121 6.1325 1.20291 -0.937334 61.7037 15.2877 0.0543173 6.12217 1.20485 -0.936634 61.9761 15.2976 0.0544012 6.11789 1.20588 -0.938085 62.2485 15.3089 0.0552194 6.11137 1.20597 -0.935777 62.5209 15.32 0.0549083 6.10233 1.20921 -0.93729 62.7933 15.3301 0.054984 6.09868 1.20989 -0.937265 63.0658 15.34 0.0546678 6.09206 1.21111 -0.938489 63.3382 15.3502 0.0550538 6.08034 1.21255 -0.938009 63.6106 15.3605 0.0554582 6.07745 1.20989 -0.935746 63.8831 15.3705 0.055296 6.06988 1.21127 -0.937379 64.1554 15.3809 0.055208 6.06682 1.21304 -0.935844 64.4279 15.3911 0.0561966 6.05838 1.21497 -0.934552 64.7003 15.4007 0.055621 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