%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%% %%%%%% %%%%%% Turbulent Pouiseille Channel Flow %%%%%% %%%%%% with Heat Transfer %%%%%% %%%%%% %%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%% %%%%%% %%%%%% Supported by %%%%%% %%%%%% MINECO/FEDER, ENE2015-71333-R %%%%%% %%%%%% MINECO/FEDER, RTI2018-102256-B-I00 %%%%%% %%%%%% GVA/FEDER project ACIF2018. %%%%%% %%%%%% %%%%%% %%%%%% %%%%%% %%%%%% 2016 - 2021 %%%%%% %%%%%% %%%%%% %%%%%% %%%%%% %%%%%% Chair of Aerospace Engineering %%%%%% %%%%%% IUMPA %%%%%% %%%%%% %%%%%% %%%%%% Universitat Politecnica de Valencia, %%%%%% %%%%%% Camino de Vera, s/n 46022 Valencia, Spain %%%%%% %%%%%% %%%%%% %%%%%% Contact: sergio.hoyas@mot.upv.es %%%%%% %%%%%% Contact: fraalvi@alumni.upv.es %%%%%% %%%%%% %%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%% %%%%%% %%%%%% <<< CAUTION >>> %%%%%% %%%%%% %%%%%% %%%%%% All rights are reserved by the authors. %%%%%% %%%%%% No part of the data described herein may be represented %%%%%% %%%%%% without reference. The data base may be used without %%%%%% %%%%%% notification to the author's laboratory, asuming that %%%%%% %%%%%% it has been properly cited. %%%%%% %%%%%% %%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% %% %% REFERENCES: %% %% %% %% - Method: %% %% %% %% Lluesma-Rodriguez, F., Alcantara-Avila, F., Perez-Quiles, M.J., %% %% Hoyas S. %% %% A Code for Simulating Heat Transfer in Turbulent Channel Flow %% %% Mathematics 2021, 9(7), 756; %% %% ------------------------------------------------------------ %% %% %% %% - Data & discussion: %% %% %% %% Alcantara-Avila, F., Hoyas, S., Perez-Quiles, M.J. %% %% Direct Numerical Simulation of thermal channel flow for %% %% Re_\tau = 5000 and Pr = 0.71. %% %% Journal of Fluid Mechanics, 2021, Vol916, 10 June 2021 , A29. %% %% ------------------------------------------------------------ %% %% Alcantara-Avila, F., Hoyas, S. %% %% Direct numerical simulation of thermal channel flow for %% %% medium-high Prandtl numbers up to Re_\tau=2000, %% %% International Journal of Heat and Mass Transfer, 176, 2021 %% %% ------------------------------------------------------------ %% %% Alcantara-Avila, F., Hoyas, S., Perez-Quiles, M.J. %% %% DNS of thermal channel flow up to Re\_tau =2000 for medium to %% %% low Prandtl numbers %% %% IJHMT, 2018, 127, pp. 349-361 %% %% ------------------------------------------------------------ %% %% Lluesma-Rodriguez, F., Hoyas, S., Perez-Quiles, M.J. %% %% Influence of the computational domain on DNS of turbulent heat %% %% transfer up to Re_\tau=2000 for Pr=0.71 %% %% IJHMT, 122, pp. 983-992 %% %% %% %% NOMENCLATURE: %% %% x = streamwise coordinate %% %% y = wall-normal coordinate %% %% z = spanwise coordinate %% %% h = channel half-width %% %% U = mean streamwise velocity %% %% Th = thermal field %% %% utau = friction velocity %% %% Ttau = friction temperature %% %% nu = kinematic viscosity %% %% Retau = Reynolds number utau*h/nu %% %% Pr = Prandtl number %% %% Nu = Nusselt number %% %% theta' = rms values of temperatures fluctuations %% %% th'*u', th'*v' = Thermal fluxes %% %% (.)+ = normalized by utau, Ttau and nu %% %% %% %% %% %% BOX SIZE in h (x,y,z): 2pi|2|1pi %% %% FLOW CONDITIONS: Retau = 497 (Re = 10200), Pr=0.0070 %% %% utau = 0.048749 %% %% Ttau = 0.999987 %% %% Nu = 5.889444 %% %% %% %% Data file created: April 06, 2018 %% %% %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % y/h y+ U+ Th+ u' v' w' th'+ u'v'+ th'u'+ th'v'+ dU+/dy+ dTh+/dy+ 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00049592 0.00700003 0.00145533 0.72364927 0.72341444 0.00506552 0.28882702 0.00554021 0.16983538 0.00067214 -0.00038611 0.00004749 -0.00000051 0.99866046 0.00699983 0.00312698 1.55486163 1.55168690 0.01088358 0.61609039 0.02247948 0.33226980 0.00144432 -0.00395501 0.00023136 -0.00000480 0.99341975 0.00699906 0.00500849 2.49042210 2.47531210 0.01743096 0.97492610 0.05065615 0.48068184 0.00231371 -0.01621417 0.00062318 -0.00001845 0.97927824 0.00699751 0.00709372 3.52728339 3.47664863 0.02468514 1.34728289 0.08871081 0.61194268 0.00327760 -0.04383224 0.00129497 -0.00004868 0.94957457 0.00699491 0.00937687 4.66255541 4.52792250 0.03262415 1.70693219 0.13477051 0.72543729 0.00433336 -0.09150320 0.00229753 -0.00010387 0.89961939 0.00699100 0.01185243 5.89350315 5.59346735 0.04122648 2.02730711 0.18687731 0.82279440 0.00547834 -0.15918838 0.00364070 -0.00019348 0.82945867 0.00698555 0.01451517 7.21752892 6.63581313 0.05047089 2.28997851 0.24322079 0.90659628 0.00670984 -0.24185975 0.00528835 -0.00032793 0.74412425 0.00697833 0.01736015 8.63216549 7.62262559 0.06033638 2.48790321 0.30220822 0.97942354 0.00802505 -0.33166858 0.00717006 -0.00051843 0.65147146 0.00696918 0.02038262 10.13506076 8.53133064 0.07080208 2.62368099 0.36245213 1.04314029 0.00942095 -0.42076743 0.00920166 -0.00077649 0.55935081 0.00695796 0.02357809 11.72397578 9.35028666 0.08184727 2.70563581 0.42273060 1.09889105 0.01089431 -0.50324299 0.01130441 -0.00111311 0.47368202 0.00694460 0.02694227 13.39678070 10.07720034 0.09345141 2.74418378 0.48196845 1.14729813 0.01244166 -0.57573273 0.01341676 -0.00153788 0.39783007 0.00692903 0.03047107 15.15144228 10.71629315 0.10559413 2.74950952 0.53924469 1.18880038 0.01405924 -0.63708134 0.01549797 -0.00205817 0.33295585 0.00691126 0.03416059 16.98602026 11.27547736 0.11825525 2.73045338 0.59381391 1.22383008 0.01574300 -0.68761349 0.01752639 -0.00267864 0.27873720 0.00689129 0.03800709 18.89865638 11.76418211 0.13141483 2.69421652 0.64511806 1.25290507 0.01748863 -0.72843904 0.01949516 -0.00340106 0.23406921 0.00686917 0.04200700 20.88757400 12.19195503 0.14505316 2.64646346 0.69278328 1.27663252 0.01929157 -0.76095345 0.02140743 -0.00422443 0.19755888 0.00684496 0.04615691 22.95107611 12.56769947 0.15915087 2.59155694 0.73660182 1.29566881 0.02114705 -0.78654811 0.02327234 -0.00514527 0.16781863 0.00681874 0.05045355 25.08753498 12.89934158 0.17368891 2.53279594 0.77650560 1.31067993 0.02305014 -0.80646981 0.02510181 -0.00615810 0.14360445 0.00679058 0.05489377 27.29539213 13.19375245 0.18864860 2.47263239 0.81253686 1.32228343 0.02499577 -0.82177596 0.02690848 -0.00725586 0.12386212 0.00676060 0.05947457 29.57314874 13.45679617 0.20401161 2.41284901 0.84481993 1.33100699 0.02697882 -0.83333659 0.02870427 -0.00843038 0.10772464 0.00672888 0.06419304 31.91936456 13.69343565 0.21976002 2.35469153 0.87353601 1.33729043 0.02899409 -0.84185331 0.03049962 -0.00967277 0.09449322 0.00669553 0.06904642 34.33265796 13.90786054 0.23587631 2.29898489 0.89890265 1.34149588 0.03103641 -0.84788516 0.03230307 -0.01097379 0.08361135 0.00666064 0.07403202 36.81170063 14.10360706 0.25234339 2.24625098 0.92115598 1.34392784 0.03310063 -0.85187981 0.03412113 -0.01232411 0.07463415 0.00662432 0.07914728 39.35521385 14.28365414 0.26914459 2.19678973 0.94053789 1.34484890 0.03518167 -0.85419943 0.03595810 -0.01371456 0.06720175 0.00658664 0.08438972 41.96196625 14.45050260 0.28626364 2.15071618 0.95728750 1.34447878 0.03727455 -0.85513749 0.03781634 -0.01513623 0.06102344 0.00654770 0.08975695 44.63076815 14.60624666 0.30368467 2.10801324 0.97163506 1.34299549 0.03937437 -0.85493208 0.03969654 -0.01658064 0.05586328 0.00650758 0.09524665 47.36047167 14.75262857 0.32139220 2.06858397 0.98379970 1.34055640 0.04147639 -0.85378034 0.04159772 -0.01803983 0.05152687 0.00646635 0.10085662 50.14997062 14.89108510 0.33937116 2.03227168 0.99399065 1.33731360 0.04357602 -0.85184287 0.04351691 -0.01950639 0.04785527 0.00642409 0.10658468 52.99819660 15.02279652 0.35760684 1.99886796 1.00240887 1.33340018 0.04566883 -0.84924780 0.04544940 -0.02097356 0.04472316 0.00638085 0.11242878 55.90411588 15.14874016 0.37608491 1.96812955 1.00924659 1.32891608 0.04775055 -0.84609404 0.04738941 -0.02243521 0.04203296 0.00633668 0.11838689 58.86672917 15.26972791 0.39479135 1.93981740 1.01468406 1.32393331 0.04981710 -0.84246358 0.04933054 -0.02388584 0.03970543 0.00629166 0.12445707 61.88506642 15.38643264 0.41371249 1.91369514 1.01888591 1.31850817 0.05186458 -0.83842192 0.05126578 -0.02532051 0.03767635 0.00624581 0.13063742 64.95818678 15.49941332 0.43283494 1.88953418 1.02199982 1.31269017 0.05388926 -0.83402257 0.05318836 -0.02673479 0.03589478 0.00619918 0.13692612 68.08517860 15.60913568 0.45214563 1.86712914 1.02415695 1.30653537 0.05588761 -0.82930950 0.05509231 -0.02812469 0.03431813 0.00615181 0.14332137 71.26515887 15.71597989 0.47163178 1.84629185 1.02547293 1.30011507 0.05785624 -0.82432238 0.05697194 -0.02948658 0.03290891 0.00610373 0.14982147 74.49726742 15.82024968 0.49128086 1.82685133 1.02605059 1.29349059 0.05979199 -0.81909353 0.05882118 -0.03081719 0.03163632 0.00605497 0.15642472 77.78067006 15.92218978 0.51108061 1.80865609 1.02598176 1.28669889 0.06169184 -0.81364627 0.06063350 -0.03211353 0.03047876 0.00600556 0.16312949 81.11455368 16.02201059 0.53101903 1.79154957 1.02534754 1.27975698 0.06355296 -0.80799621 0.06240214 -0.03337293 0.02942230 0.00595554 0.16993420 84.49812485 16.11989849 0.55108433 1.77538136 1.02421859 1.27267858 0.06537268 -0.80215743 0.06412100 -0.03459299 0.02845445 0.00590491 0.17683727 87.93060981 16.21601325 0.57126493 1.76002351 1.02265590 1.26547863 0.06714851 -0.79614476 0.06578472 -0.03577157 0.02756209 0.00585371 0.18383719 91.41125450 16.31048156 0.59154950 1.74538043 1.02071287 1.25817235 0.06887813 -0.78997393 0.06738884 -0.03690673 0.02673090 0.00580196 0.19093249 94.93932407 16.40339410 0.61192692 1.73137293 1.01843551 1.25078665 0.07055935 -0.78365878 0.06892959 -0.03799676 0.02594891 0.00574966 0.19812172 98.51409786 16.49482231 0.63238622 1.71793120 1.01586175 1.24336421 0.07219017 -0.77720448 0.07040342 -0.03904016 0.02521212 0.00569685 0.20540346 102.13487290 16.58484152 0.65291667 1.70500076 1.01302472 1.23592496 0.07376872 -0.77061262 0.07180731 -0.04003564 0.02452049 0.00564354 0.21277633 105.80095971 16.67353190 0.67350769 1.69251751 1.00995536 1.22846987 0.07529327 -0.76388644 0.07313859 -0.04098209 0.02387183 0.00558973 0.22023896 109.51168107 16.76096548 0.69414885 1.68039713 1.00667995 1.22099792 0.07676222 -0.75703383 0.07439413 -0.04187858 0.02325964 0.00553545 0.22779002 113.26637190 16.84719619 0.71482990 1.66855980 1.00322039 1.21351049 0.07817412 -0.75006082 0.07557074 -0.04272427 0.02267897 0.00548070 0.23542820 117.06437936 16.93227615 0.73554075 1.65693354 0.99959712 1.20601605 0.07952763 -0.74296904 0.07666537 -0.04351845 0.02212961 0.00542549 0.24315220 120.90506279 17.01625912 0.75627143 1.64545875 0.99582930 1.19853061 0.08082156 -0.73576223 0.07767522 -0.04426049 0.02160915 0.00536985 0.25096075 124.78779126 17.09919012 0.77701216 1.63409591 0.99193142 1.19107801 0.08205480 -0.72844600 0.07859829 -0.04494988 0.02111358 0.00531376 0.25885261 128.71194211 17.18110857 0.79775324 1.62282092 0.98791283 1.18366875 0.08322638 -0.72102207 0.07943394 -0.04558616 0.02064240 0.00525726 0.26682654 132.67690280 17.26206118 0.81848515 1.61162645 0.98377956 1.17630327 0.08433545 -0.71349123 0.08018198 -0.04616900 0.02019641 0.00520033 0.27488133 136.68206690 17.34209448 0.83919847 1.60051376 0.97953524 1.16898471 0.08538122 -0.70585738 0.08084215 -0.04669810 0.01977271 0.00514300 0.28301576 140.72683407 17.42124391 0.85988388 1.58947482 0.97518216 1.16170969 0.08636307 -0.69812591 0.08141373 -0.04717333 0.01936745 0.00508526 0.29122865 144.81061001 17.49953353 0.88053220 1.57848607 0.97072300 1.15445589 0.08728042 -0.69030114 0.08189574 -0.04759471 0.01897710 0.00502713 0.29951880 148.93280649 17.57697427 0.90113435 1.56751685 0.96616244 1.14718623 0.08813283 -0.68238885 0.08228710 -0.04796243 0.01859748 0.00496861 0.30788504 153.09284135 17.65356214 0.92168134 1.55654474 0.96150633 1.13986725 0.08891994 -0.67439364 0.08258686 -0.04827676 0.01822494 0.00490970 0.31632622 157.29013580 17.72928845 0.94216429 1.54556233 0.95675917 1.13248343 0.08964146 -0.66631575 0.08279501 -0.04853802 0.01786075 0.00485040 0.32484118 161.52411408 17.80415876 0.96257439 1.53455767 0.95192349 1.12503402 0.09029721 -0.65815295 0.08291223 -0.04874659 0.01750824 0.00479072 0.33342876 165.79420470 17.87819044 0.98290296 1.52351940 0.94700060 1.11752958 0.09088706 -0.64990472 0.08293894 -0.04890296 0.01716908 0.00473067 0.34208782 170.09983707 17.95140681 1.00314136 1.51244429 0.94199099 1.10999041 0.09141097 -0.64157256 0.08287593 -0.04900771 0.01684287 0.00467024 0.35081721 174.44044149 18.02382557 1.02328105 1.50133417 0.93689766 1.10240969 0.09186897 -0.63315969 0.08272485 -0.04906155 0.01652729 0.00460944 0.35961578 178.81544915 18.09546028 1.04331356 1.49018175 0.93172773 1.09475712 0.09226117 -0.62466727 0.08248736 -0.04906525 0.01622220 0.00454827 0.36848241 183.22429211 18.16632902 1.06323047 1.47896962 0.92648855 1.08703447 0.09258774 -0.61609551 0.08216492 -0.04901965 0.01592842 0.00448673 0.37741594 187.66640332 18.23644725 1.08302349 1.46769676 0.92118422 1.07926196 0.09284893 -0.60744881 0.08175920 -0.04892560 0.01564256 0.00442482 0.38641524 192.14121557 18.30581219 1.10268434 1.45638105 0.91581699 1.07144702 0.09304504 -0.59873216 0.08127270 -0.04878396 0.01536085 0.00436254 0.39547915 196.64815858 18.37441545 1.12220483 1.44503972 0.91038926 1.06358025 0.09317645 -0.58994638 0.08070817 -0.04859570 0.01508366 0.00429989 0.40460654 201.18666253 18.44225256 1.14157686 1.43367710 0.90490421 1.05563673 0.09324360 -0.58109184 0.08006841 -0.04836191 0.01481159 0.00423687 0.41379624 205.75615463 18.50932346 1.16079235 1.42228338 0.89936578 1.04759653 0.09324700 -0.57216857 0.07935581 -0.04808377 0.01454601 0.00417348 0.42304711 210.35605877 18.57564186 1.17984330 1.41084800 0.89377796 1.03946176 0.09318721 -0.56317317 0.07857246 -0.04776253 0.01429104 0.00410972 0.43235798 214.98579558 18.64123724 1.19872176 1.39937450 0.88814377 1.03124243 0.09306485 -0.55410639 0.07772055 -0.04739950 0.01404729 0.00404559 0.44172766 219.64478239 18.70612950 1.21741985 1.38787225 0.88246334 1.02295194 0.09288059 -0.54497320 0.07680199 -0.04699598 0.01381068 0.00398109 0.45115500 224.33243324 18.77032407 1.23592974 1.37634748 0.87673258 1.01460897 0.09263518 -0.53577688 0.07581850 -0.04655330 0.01357927 0.00391621 0.46063880 229.04815887 18.83382732 1.25424366 1.36480562 0.87094598 1.00621955 0.09232939 -0.52651659 0.07477211 -0.04607275 0.01335490 0.00385096 0.47017786 233.79136510 18.89665549 1.27235391 1.35323895 0.86510096 0.99777181 0.09196406 -0.51719309 0.07366551 -0.04555567 0.01313820 0.00378533 0.47977098 238.56145218 18.95881793 1.29025285 1.34162243 0.85919757 0.98926429 0.09154009 -0.50781079 0.07250177 -0.04500343 0.01292591 0.00371933 0.48941695 243.35781615 19.02030958 1.30793290 1.32992205 0.85323652 0.98070396 0.09105844 -0.49837363 0.07128351 -0.04441745 0.01271542 0.00365294 0.49911454 248.17984738 19.08111805 1.32538655 1.31811773 0.84721880 0.97207515 0.09052011 -0.48888354 0.07001330 -0.04379917 0.01250604 0.00358618 0.50886251 253.02693063 19.14122915 1.34260635 1.30621824 0.84114681 0.96333697 0.08992617 -0.47934240 0.06869486 -0.04315009 0.01229712 0.00351904 0.51865961 257.89844500 19.20062592 1.35958494 1.29423917 0.83502581 0.95446105 0.08927775 -0.46975147 0.06733246 -0.04247177 0.01208860 0.00345151 0.52850459 262.79376394 19.25929684 1.37631500 1.28217789 0.82886366 0.94544329 0.08857605 -0.46010999 0.06592978 -0.04176575 0.01188232 0.00338360 0.53839617 267.71225526 19.31724017 1.39278931 1.27002477 0.82266939 0.93629636 0.08782230 -0.45041751 0.06448934 -0.04103357 0.01167993 0.00331531 0.54833307 272.65328113 19.37445671 1.40900073 1.25777754 0.81645200 0.92704765 0.08701782 -0.44067651 0.06301321 -0.04027670 0.01148019 0.00324664 0.55831399 277.61619827 19.43093721 1.42494220 1.24543767 0.81021899 0.91772230 0.08616398 -0.43089015 0.06150382 -0.03949645 0.01128096 0.00317758 0.56833763 282.60035754 19.48666501 1.44060676 1.23300078 0.80397653 0.90832460 0.08526219 -0.42106145 0.05996366 -0.03869414 0.01108084 0.00310814 0.57840268 287.60510309 19.54161660 1.45598755 1.22046827 0.79772854 0.89884760 0.08431396 -0.41119230 0.05839538 -0.03787103 0.01087880 0.00303833 0.58850780 292.62977463 19.59576841 1.47107783 1.20785519 0.79147601 0.88929583 0.08332083 -0.40128376 0.05680217 -0.03702841 0.01067560 0.00296813 0.59865165 297.67370759 19.64910207 1.48587096 1.19516775 0.78521928 0.87967944 0.08228442 -0.39133574 0.05518708 -0.03616756 0.01047214 0.00289756 0.60883290 302.73623316 19.70160111 1.50036044 1.18240220 0.77896026 0.87001622 0.08120646 -0.38135050 0.05355334 -0.03528982 0.01026805 0.00282663 0.61905018 307.81667824 19.75324570 1.51453986 1.16955623 0.77270224 0.86033373 0.08008866 -0.37132966 0.05190457 -0.03439655 0.01006254 0.00275532 0.62930214 312.91436547 19.80401356 1.52840298 1.15663920 0.76645047 0.85065012 0.07893295 -0.36127552 0.05024398 -0.03348910 0.00985533 0.00268364 0.63958741 318.02861355 19.85388493 1.54194365 1.14364358 0.76021451 0.84097929 0.07774124 -0.35118764 0.04857366 -0.03256877 0.00964783 0.00261161 0.64990461 323.15874136 19.90284873 1.55515589 1.13055487 0.75400721 0.83132869 0.07651560 -0.34106694 0.04689518 -0.03163692 0.00944101 0.00253921 0.66025236 328.30406233 19.95089186 1.56803384 1.11737677 0.74784108 0.82169851 0.07525818 -0.33091601 0.04521000 -0.03069491 0.00923327 0.00246646 0.67062929 333.46388987 19.99799210 1.58057182 1.10413197 0.74172652 0.81208763 0.07397123 -0.32073858 0.04352026 -0.02974410 0.00902276 0.00239336 0.68103402 338.63753953 20.04412048 1.59276427 1.09084653 0.73567345 0.80249991 0.07265714 -0.31053630 0.04182911 -0.02878581 0.00880883 0.00231991 0.69146517 343.82432891 20.08924736 1.60460582 1.07753562 0.72969346 0.79294918 0.07131843 -0.30031119 0.04014024 -0.02782128 0.00859127 0.00224611 0.70192138 349.02357775 20.13333991 1.61609127 1.06418925 0.72380041 0.78346151 0.06995773 -0.29006534 0.03845718 -0.02685169 0.00836913 0.00217198 0.71240129 354.23460787 20.17636276 1.62721557 1.05078746 0.71800938 0.77406822 0.06857785 -0.27980026 0.03678332 -0.02587815 0.00814260 0.00209752 0.72290353 359.45674320 20.21828769 1.63797388 1.03731711 0.71233349 0.76479119 0.06718171 -0.26951494 0.03512174 -0.02490172 0.00791393 0.00202273 0.73342675 364.68931555 20.25909659 1.64836152 1.02378135 0.70677987 0.75564981 0.06577245 -0.25921032 0.03347538 -0.02392332 0.00768381 0.00194762 0.74396964 369.93166362 20.29876883 1.65837404 1.01020224 0.70134988 0.74666943 0.06435338 -0.24888881 0.03184755 -0.02294377 0.00745105 0.00187221 0.75453087 375.18313287 20.33727932 1.66800717 0.99661357 0.69604332 0.73786855 0.06292798 -0.23855247 0.03024211 -0.02196376 0.00721495 0.00179650 0.76510916 380.44308172 20.37459996 1.67725684 0.98305325 0.69086176 0.72925149 0.06149998 -0.22820313 0.02866279 -0.02098391 0.00697490 0.00172050 0.77570323 385.71088152 20.41069950 1.68611923 0.96955310 0.68581129 0.72081908 0.06007332 -0.21784288 0.02711305 -0.02000478 0.00672997 0.00164422 0.78631185 390.98591657 20.44554047 1.69459071 0.95614617 0.68090272 0.71257782 0.05865218 -0.20747437 0.02559633 -0.01902688 0.00647867 0.00156767 0.79693382 396.26758409 20.47907840 1.70266787 0.94287661 0.67615042 0.70454181 0.05724103 -0.19710002 0.02411637 -0.01805064 0.00621977 0.00149087 0.80756793 401.55529562 20.51126335 1.71034751 0.92978585 0.67157095 0.69672662 0.05584461 -0.18672203 0.02267737 -0.01707648 0.00595226 0.00141382 0.81821307 406.84848473 20.54204132 1.71762666 0.91690642 0.66718167 0.68914349 0.05446796 -0.17634223 0.02128390 -0.01610475 0.00567550 0.00133654 0.82886811 412.14660138 20.57135676 1.72450255 0.90427271 0.66299886 0.68180750 0.05311644 -0.16596199 0.01994043 -0.01513579 0.00538934 0.00125904 0.83953200 417.44911903 20.59915483 1.73097265 0.89193071 0.65903568 0.67474246 0.05179578 -0.15558204 0.01865136 -0.01416984 0.00509406 0.00118133 0.85020374 422.75553588 20.62538271 1.73703462 0.87992949 0.65530168 0.66799360 0.05051200 -0.14520322 0.01742090 -0.01320704 0.00478982 0.00110342 0.86088236 428.06537489 20.64998883 1.74268635 0.86832126 0.65180393 0.66160992 0.04927148 -0.13482582 0.01625311 -0.01224747 0.00447702 0.00102533 0.87156695 433.37818378 20.67292743 1.74792594 0.85716680 0.64854843 0.65561391 0.04808090 -0.12444914 0.01515200 -0.01129109 0.00415718 0.00094708 0.88225666 438.69353596 20.69416153 1.75275167 0.84653786 0.64554058 0.65000972 0.04694725 -0.11407236 0.01412157 -0.01033784 0.00383171 0.00086867 0.89295068 444.01103679 20.71366034 1.75716205 0.83652041 0.64278430 0.64480186 0.04587774 -0.10369551 0.01316565 -0.00938757 0.00350134 0.00079013 0.90364829 449.33032004 20.73139541 1.76115575 0.82720861 0.64028078 0.64000012 0.04487976 -0.09331928 0.01228780 -0.00844013 0.00316609 0.00071145 0.91434882 454.65105222 20.74733957 1.76473165 0.81868488 0.63802874 0.63562641 0.04396076 -0.08294393 0.01149106 -0.00749530 0.00282651 0.00063267 0.92505166 459.97293351 20.76147013 1.76788879 0.81100657 0.63602635 0.63171559 0.04312815 -0.07256961 0.01077825 -0.00655283 0.00248325 0.00055379 0.93575627 465.29569775 20.77376644 1.77062637 0.80421639 0.63427365 0.62829554 0.04238912 -0.06219682 0.01015262 -0.00561247 0.00213646 0.00047483 0.94646219 470.61911244 20.78420904 1.77294374 0.79835381 0.63277432 0.62537714 0.04175049 -0.05182601 0.00961763 -0.00467397 0.00178628 0.00039579 0.95716902 475.94297897 20.79278034 1.77484038 0.79346344 0.63153534 0.62297072 0.04121849 -0.04145707 0.00917635 -0.00373707 0.00143330 0.00031670 0.96787643 481.26713554 20.79946700 1.77631591 0.78959555 0.63056434 0.62109166 0.04079858 -0.03108974 0.00883100 -0.00280152 0.00107819 0.00023757 0.97858417 486.59145651 20.80425787 1.77737004 0.78679611 0.62986712 0.61974750 0.04049527 -0.02072421 0.00858313 -0.00186705 0.00072108 0.00015840 0.98929207 491.91585205 20.80714111 1.77800259 0.78509919 0.62944722 0.61894041 0.04031190 -0.01036111 0.00843385 -0.00093333 0.00036151 0.00007920 1.00000000 497.24026840 20.80810397 1.77821345 0.78453020 0.62930694 0.61867151 0.04025055 0.00000000 0.00838399 0.00000000 0.00000000 0.00000000