%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%% %%%%%% %%%%%% 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 = 1016 (Re = 23000), Pr=0.0200 %% %% utau = 0.044166 %% %% Ttau = 1.000628 %% %% Nu = 9.180411 %% %% %% %% 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 1.00064792 0.02000011 0.00043504 0.44192090 0.44209710 0.00883845 0.18449641 0.00256920 0.11605218 0.00330651 -0.00009282 0.00017789 -0.00000101 1.00010902 0.02000000 0.00099239 1.00809361 1.00795374 0.02016176 0.41882460 0.01115424 0.24735051 0.00754303 -0.00113855 0.00095715 -0.00001163 0.99850828 0.01999938 0.00166829 1.69468701 1.69203346 0.03389268 0.69976845 0.02821194 0.38461357 0.01268140 -0.00553601 0.00280737 -0.00005279 0.99343205 0.01999765 0.00245916 2.49807013 2.48554690 0.04995708 1.01954393 0.05462104 0.51948563 0.01869486 -0.01762883 0.00631329 -0.00015978 0.98054885 0.01999387 0.00336160 3.41479990 3.37339648 0.06828305 1.36262297 0.09014555 0.64595325 0.02555732 -0.04298086 0.01208986 -0.00038192 0.95429275 0.01998679 0.00437243 4.44161840 4.33183465 0.08880014 1.70586790 0.13374243 0.76066925 0.03324260 -0.08619072 0.02062247 -0.00078073 0.91007087 0.01997493 0.00548858 5.57543190 5.32892941 0.11143813 2.02389141 0.18392956 0.86270887 0.04172340 -0.14845450 0.03210019 -0.00142795 0.84668960 0.01995661 0.00670716 6.81330268 6.32857672 0.13612610 2.29615251 0.23909617 0.95282772 0.05097046 -0.22660434 0.04633758 -0.00240373 0.76731884 0.01993002 0.00802543 8.15243105 7.29647023 0.16279127 2.51134612 0.29768906 1.03243885 0.06095151 -0.31423071 0.06283144 -0.00379412 0.67837290 0.01989325 0.00944076 9.59015318 8.20538071 0.19135832 2.66763598 0.35828143 1.10288219 0.07163061 -0.40393153 0.08091265 -0.00568654 0.58725395 0.01984447 0.01095065 11.12393593 9.03787036 0.22174884 2.77005355 0.41957432 1.16508036 0.08296768 -0.48937950 0.09991322 -0.00816328 0.50029450 0.01978195 0.01255272 12.75136243 9.78617268 0.25388087 2.82717832 0.48039184 1.21959931 0.09491830 -0.56638559 0.11928237 -0.01129400 0.42168282 0.01970431 0.01424471 14.47012740 10.45021392 0.28766903 2.84849427 0.53969675 1.26683843 0.10743398 -0.63297878 0.13863469 -0.01512934 0.35339537 0.01961054 0.01602444 16.27802470 11.03498591 0.32302479 2.84282961 0.59661989 1.30720267 0.12046275 -0.68888401 0.15774426 -0.01969681 0.29570682 0.01950014 0.01788985 18.17294691 11.54818608 0.35985737 2.81770296 0.65048472 1.34118678 0.13395011 -0.73486624 0.17651342 -0.02499982 0.24785705 0.01937310 0.01983894 20.15288267 11.99848486 0.39807466 2.77919366 0.70081461 1.36937080 0.14783996 -0.77216940 0.19493346 -0.03101915 0.20860150 0.01922985 0.02186982 22.21590474 12.39445657 0.43758413 2.73206955 0.74732106 1.39238783 0.16207563 -0.80215696 0.21305046 -0.03771637 0.17658094 0.01907124 0.02398069 24.36016975 12.74401351 0.47829387 2.67998797 0.78987807 1.41088098 0.17660072 -0.82610928 0.23093817 -0.04503805 0.15051471 0.01889838 0.02616978 26.58390712 13.05417431 0.52011340 2.62570224 0.82848937 1.42546772 0.19135988 -0.84514502 0.24868001 -0.05292018 0.12928804 0.01871262 0.02843544 28.88541813 13.33102029 0.56295455 2.57123396 0.86325596 1.43671970 0.20629948 -0.86019579 0.26635698 -0.06129222 0.11196927 0.01851541 0.03077606 31.26307594 13.57975230 0.60673215 2.51802046 0.89434774 1.44514034 0.22136809 -0.87202340 0.28404061 -0.07008068 0.09779952 0.01830829 0.03319010 33.71531858 13.80478105 0.65136447 2.46703569 0.92198035 1.45116165 0.23651688 -0.88124046 0.30178855 -0.07921190 0.08616647 0.01809275 0.03567609 36.24064602 14.00983206 0.69677366 2.41889351 0.94639712 1.45514798 0.25169989 -0.88833892 0.31964280 -0.08861429 0.07658070 0.01787028 0.03823260 38.83761618 14.19804379 0.74288589 2.37394087 0.96785419 1.45739958 0.26687421 -0.89371146 0.33762832 -0.09821992 0.06865011 0.01764227 0.04085827 41.50483939 14.37205359 0.78963149 2.33233176 0.98660941 1.45815925 0.28200011 -0.89767626 0.35575382 -0.10796568 0.06205886 0.01741002 0.04355179 44.24097838 14.53406776 0.83694502 2.29408039 1.00291396 1.45762878 0.29704108 -0.90048924 0.37401311 -0.11779388 0.05655169 0.01717470 0.04631188 47.04474823 14.68592639 0.88476527 2.25910266 1.01700709 1.45598250 0.31196386 -0.90235826 0.39238761 -0.12765258 0.05192260 0.01693738 0.04913733 49.91491128 14.82915496 0.93303508 2.22725363 1.02911393 1.45337541 0.32673838 -0.90345206 0.41084888 -0.13749570 0.04800381 0.01669902 0.05202697 52.85027459 14.96501296 0.98170126 2.19834501 1.03944579 1.44995327 0.34133764 -0.90390618 0.42936016 -0.14728299 0.04466125 0.01646042 0.05497966 55.84968878 15.09454033 1.03071432 2.17215229 1.04820026 1.44583947 0.35573758 -0.90382880 0.44787945 -0.15697986 0.04178767 0.01622231 0.05799431 58.91204272 15.21859248 1.08002828 2.14843924 1.05555971 1.44113208 0.36991693 -0.90330872 0.46636191 -0.16655699 0.03929546 0.01598529 0.06106986 62.03626354 15.33786829 1.12960041 2.12697115 1.06168926 1.43592311 0.38385703 -0.90241731 0.48476010 -0.17598984 0.03711404 0.01574986 0.06420529 65.22131660 15.45294106 1.17939110 2.10751276 1.06673813 1.43030322 0.39754165 -0.90120982 0.50302442 -0.18525812 0.03518889 0.01551645 0.06739963 68.46620480 15.56428685 1.22936357 2.08983797 1.07084310 1.42435970 0.41095683 -0.89972996 0.52110733 -0.19434526 0.03347722 0.01528541 0.07065193 71.76996215 15.67230249 1.27948368 2.07374098 1.07412857 1.41817575 0.42409071 -0.89801336 0.53896784 -0.20323779 0.03194410 0.01505700 0.07396125 75.13165741 15.77731967 1.32971974 2.05904350 1.07670358 1.41182617 0.43693333 -0.89608880 0.55657038 -0.21192481 0.03056161 0.01483147 0.07732673 78.55038867 15.87961616 1.38004234 2.04558604 1.07866118 1.40536796 0.44947649 -0.89398111 0.57387996 -0.22039750 0.02930580 0.01460901 0.08074749 82.02528197 15.97942021 1.43042417 2.03321340 1.08008206 1.39884599 0.46171359 -0.89171111 0.59086016 -0.22864886 0.02815674 0.01438975 0.08422270 85.55549135 16.07692553 1.48083989 2.02178137 1.08103706 1.39229274 0.47363943 -0.88929281 0.60747576 -0.23667354 0.02710129 0.01417383 0.08775157 89.14019876 16.17230614 1.53126605 2.01116016 1.08158784 1.38573528 0.48525011 -0.88673696 0.62369443 -0.24446751 0.02612956 0.01396133 0.09133330 92.77861382 16.26571693 1.58168092 2.00123356 1.08178786 1.37919645 0.49654285 -0.88405517 0.63948624 -0.25202780 0.02523080 0.01375231 0.09496715 96.46996850 16.35728727 1.63206437 1.99189842 1.08168486 1.37269974 0.50751589 -0.88125915 0.65482250 -0.25935233 0.02439409 0.01354684 0.09865239 100.21352052 16.44712084 1.68239779 1.98306458 1.08132219 1.36627109 0.51816840 -0.87835957 0.66967878 -0.26643991 0.02360936 0.01334495 0.10238830 104.00854970 16.53529789 1.73266399 1.97465167 1.08073802 1.35993223 0.52850040 -0.87536483 0.68403868 -0.27329014 0.02286913 0.01314664 0.10617419 107.85435634 16.62188881 1.78284705 1.96659406 1.07996474 1.35369079 0.53851264 -0.87227836 0.69789296 -0.27990335 0.02217057 0.01295193 0.11000941 111.75026118 16.70696509 1.83293227 1.95883997 1.07902935 1.34755453 0.54820657 -0.86910281 0.71123570 -0.28628040 0.02151201 0.01276080 0.11389329 115.69560542 16.79059708 1.88290609 1.95134571 1.07795593 1.34152781 0.55758425 -0.86584172 0.72406011 -0.29242274 0.02089048 0.01257324 0.11782522 119.68975071 16.87285121 1.93275597 1.94407531 1.07676602 1.33560653 0.56664822 -0.86249818 0.73635983 -0.29833229 0.02030376 0.01238920 0.12180457 123.73207800 16.95379400 1.98247040 1.93699511 1.07547766 1.32978486 0.57540149 -0.85907404 0.74813086 -0.30401122 0.01975033 0.01220867 0.12583077 127.82198390 17.03349087 2.03203870 1.93007577 1.07410461 1.32406029 0.58384740 -0.85557214 0.75937320 -0.30946179 0.01922820 0.01203159 0.12990322 131.95888455 17.11200469 2.08145113 1.92329038 1.07265700 1.31843220 0.59198957 -0.85199464 0.77008980 -0.31468632 0.01873516 0.01185793 0.13402138 136.14221146 17.18939334 2.13069873 1.91661755 1.07114274 1.31289381 0.59983186 -0.84834542 0.78028362 -0.31968705 0.01826841 0.01168765 0.13818470 140.37141106 17.26570561 2.17977334 1.91003495 1.06956919 1.30743560 0.60737833 -0.84462835 0.78995430 -0.32446628 0.01782403 0.01152072 0.14239264 144.64594473 17.34097741 2.22866753 1.90352051 1.06794289 1.30205057 0.61463316 -0.84084836 0.79910422 -0.32902644 0.01739835 0.01135708 0.14664470 148.96528881 17.41523604 2.27737455 1.89705429 1.06626783 1.29672985 0.62160069 -0.83700767 0.80773873 -0.33337009 0.01698921 0.01119671 0.15094037 153.32893456 17.48850556 2.32588836 1.89062436 1.06454426 1.29147156 0.62828540 -0.83310808 0.81586246 -0.33749991 0.01659588 0.01103953 0.15527916 157.73638794 17.56081119 2.37420347 1.88421477 1.06277080 1.28627721 0.63469191 -0.82915009 0.82347598 -0.34141885 0.01621778 0.01088552 0.15966060 162.18716592 17.63217687 2.42231497 1.87781030 1.06094801 1.28115475 0.64082494 -0.82513549 0.83058051 -0.34513011 0.01585407 0.01073460 0.16408424 166.68079983 17.70262778 2.47021842 1.87139436 1.05907989 1.27610595 0.64668931 -0.82106428 0.83717974 -0.34863719 0.01550476 0.01058672 0.16854961 171.21683309 17.77219196 2.51790983 1.86494868 1.05717173 1.27113067 0.65228986 -0.81693732 0.84327905 -0.35194364 0.01516998 0.01044180 0.17305628 175.79481995 17.84089839 2.56538559 1.85845810 1.05522528 1.26623298 0.65763142 -0.81275558 0.84888506 -0.35505291 0.01484861 0.01029979 0.17760382 180.41432551 17.90877325 2.61264252 1.85192049 1.05323922 1.26141815 0.66271885 -0.80852041 0.85400946 -0.35796806 0.01454031 0.01016062 0.18219182 185.07492567 17.97584530 2.65967782 1.84533917 1.05121115 1.25668635 0.66755698 -0.80423201 0.85866498 -0.36069168 0.01424459 0.01002426 0.18681986 189.77620719 18.04213768 2.70648915 1.83872170 1.04913733 1.25203031 0.67215063 -0.79989355 0.86286157 -0.36322602 0.01395929 0.00989067 0.19148756 194.51776764 18.10766781 2.75307458 1.83206760 1.04701401 1.24743623 0.67650459 -0.79550567 0.86660250 -0.36557308 0.01368336 0.00975980 0.19619452 199.29921517 18.17245256 2.79943262 1.82537787 1.04483866 1.24288171 0.68062358 -0.79106918 0.86988960 -0.36773486 0.01341710 0.00963162 0.20094037 204.12016532 18.23651380 2.84556215 1.81865925 1.04260995 1.23835286 0.68451224 -0.78658293 0.87273073 -0.36971366 0.01316116 0.00950610 0.20572474 208.98024440 18.29987699 2.89146240 1.81191358 1.04032850 1.23384979 0.68817513 -0.78204781 0.87513796 -0.37151229 0.01291590 0.00938318 0.21054727 213.87908747 18.36256768 2.93713282 1.80513702 1.03799731 1.22937245 0.69161677 -0.77746472 0.87712374 -0.37313407 0.01267976 0.00926279 0.21540760 218.81633724 18.42460287 2.98257307 1.79832434 1.03561913 1.22491719 0.69484158 -0.77283632 0.87870354 -0.37458266 0.01245129 0.00914488 0.22030540 223.79164413 18.48599797 3.02778293 1.79146588 1.03319432 1.22047695 0.69785394 -0.76816217 0.87989005 -0.37586196 0.01223007 0.00902936 0.22524033 228.80466622 18.54676896 3.07276226 1.78455190 1.03072188 1.21604062 0.70065821 -0.76344261 0.88069162 -0.37697618 0.01201701 0.00891616 0.23021206 233.85506929 18.60693931 3.11751097 1.77756969 1.02820005 1.21161092 0.70325878 -0.75867669 0.88111218 -0.37792985 0.01181240 0.00880519 0.23522027 238.94252679 18.66652994 3.16202894 1.77051631 1.02562748 1.20719708 0.70566010 -0.75386594 0.88115711 -0.37872763 0.01161589 0.00869636 0.24026463 244.06671986 18.72556942 3.20631602 1.76338614 1.02300663 1.20279885 0.70786665 -0.74900782 0.88083302 -0.37937427 0.01142954 0.00858958 0.24534486 249.22733628 18.78409435 3.25037197 1.75617959 1.02034259 1.19840557 0.70988288 -0.74410305 0.88015138 -0.37987448 0.01125367 0.00848477 0.25046063 254.42406878 18.84213663 3.29419644 1.74890074 1.01763992 1.19400630 0.71171320 -0.73915419 0.87912828 -0.38023290 0.01108547 0.00838182 0.25561167 259.65661833 18.89971364 3.33778901 1.74155198 1.01490213 1.18959056 0.71336193 -0.73416426 0.87777928 -0.38045411 0.01092288 0.00828066 0.26079768 264.92469123 18.95683649 3.38114910 1.73413936 1.01213189 1.18515702 0.71483332 -0.72913478 0.87611922 -0.38054261 0.01076405 0.00818119 0.26601837 270.22799892 19.01350419 3.42427603 1.72667913 1.00933142 1.18071240 0.71613161 -0.72406836 0.87416856 -0.38050269 0.01060723 0.00808334 0.27127347 275.56625798 19.06971501 3.46716898 1.71918205 1.00650195 1.17626041 0.71726097 -0.71896401 0.87194505 -0.38033806 0.01045297 0.00798703 0.27656270 280.93919014 19.12547037 3.50982709 1.71166627 1.00364200 1.17179011 0.71822551 -0.71382209 0.86946594 -0.38005162 0.01030201 0.00789221 0.28188580 286.34652225 19.18077638 3.55224954 1.70414279 1.00074780 1.16728606 0.71902918 -0.70864196 0.86674472 -0.37964551 0.01015463 0.00779884 0.28724249 291.78798629 19.23564028 3.59443557 1.69661338 0.99781487 1.16273649 0.71967581 -0.70342408 0.86379099 -0.37912164 0.01001153 0.00770688 0.29263253 297.26331941 19.29007582 3.63638448 1.68906339 0.99484154 1.15814614 0.72016906 -0.69816758 0.86060790 -0.37848208 0.00987321 0.00761630 0.29805566 302.77226346 19.34409447 3.67809560 1.68147894 0.99182980 1.15352267 0.72051241 -0.69287436 0.85719923 -0.37772921 0.00973876 0.00752706 0.30351162 308.31456243 19.39770218 3.71956823 1.67385930 0.98878310 1.14885896 0.72070919 -0.68754567 0.85357276 -0.37686554 0.00960646 0.00743910 0.30900017 313.88996622 19.45089563 3.76080166 1.66621093 0.98570253 1.14415766 0.72076258 -0.68218320 0.84973871 -0.37589337 0.00947551 0.00735238 0.31452106 319.49822831 19.50367507 3.80179516 1.65853091 0.98258715 1.13943458 0.72067562 -0.67678524 0.84570508 -0.37481473 0.00934711 0.00726687 0.32007407 325.13910504 19.55604581 3.84254805 1.65082535 0.97943381 1.13469722 0.72045124 -0.67135225 0.84148469 -0.37363127 0.00922185 0.00718254 0.32565894 330.81235563 19.60801386 3.88305967 1.64310264 0.97623757 1.12994335 0.72009231 -0.66588466 0.83709076 -0.37234446 0.00909883 0.00709935 0.33127545 336.51774219 19.65957778 3.92332939 1.63536560 0.97299673 1.12516268 0.71960167 -0.66038451 0.83252986 -0.37095600 0.00897712 0.00701729 0.33692336 342.25502972 19.71073932 3.96335659 1.62760117 0.96971413 1.12034528 0.71898214 -0.65484955 0.82780195 -0.36946814 0.00885843 0.00693631 0.34260245 348.02398610 19.76151197 4.00314056 1.61979012 0.96639247 1.11550069 0.71823656 -0.64927917 0.82290552 -0.36788329 0.00874450 0.00685636 0.34831248 353.82438207 19.81191149 4.04268051 1.61190713 0.96303235 1.11064995 0.71736769 -0.64367438 0.81784028 -0.36620388 0.00863379 0.00677740 0.35405325 359.65599130 19.86193922 4.08197555 1.60395257 0.95963434 1.10581494 0.71637818 -0.63803834 0.81261353 -0.36443235 0.00852382 0.00669939 0.35982452 365.51858912 19.91158964 4.12102470 1.59594513 0.95620147 1.10099898 0.71527051 -0.63237086 0.80723363 -0.36257118 0.00841443 0.00662227 0.36562607 371.41195131 19.96085886 4.15982681 1.58790947 0.95273763 1.09617961 0.71404694 -0.62667179 0.80171034 -0.36062296 0.00830611 0.00654600 0.37145770 377.33585753 20.00974525 4.19838063 1.57986894 0.94924370 1.09133160 0.71270953 -0.62094082 0.79605318 -0.35859011 0.00819896 0.00647054 0.37731917 383.29008822 20.05824877 4.23668480 1.57183830 0.94571634 1.08644785 0.71126003 -0.61517757 0.79027046 -0.35647461 0.00809364 0.00639585 0.38321028 389.27442450 20.10637371 4.27473788 1.56382613 0.94215004 1.08152268 0.70969990 -0.60938178 0.78436741 -0.35427784 0.00799033 0.00632190 0.38913082 395.28864807 20.15412236 4.31253848 1.55584227 0.93853908 1.07656759 0.70803033 -0.60355421 0.77834837 -0.35200074 0.00788868 0.00624868 0.39508056 401.33254131 20.20150018 4.35008521 1.54787759 0.93487910 1.07160155 0.70625222 -0.59769354 0.77221378 -0.34964419 0.00778991 0.00617618 0.40105929 407.40588720 20.24851995 4.38737672 1.53991363 0.93116815 1.06662216 0.70436626 -0.59179992 0.76596217 -0.34720931 0.00769468 0.00610438 0.40706681 413.50846936 20.29519350 4.42441163 1.53193914 0.92740660 1.06161039 0.70237289 -0.58587423 0.75959194 -0.34469771 0.00760207 0.00603324 0.41310289 419.64007206 20.34152690 4.46118848 1.52394693 0.92359673 1.05654146 0.70027237 -0.57991844 0.75310571 -0.34211131 0.00751121 0.00596275 0.41916733 425.80048017 20.38752085 4.49770567 1.51592736 0.91974227 1.05140037 0.69806476 -0.57393360 0.74650453 -0.33945209 0.00742102 0.00589285 0.42525992 431.98947762 20.43317351 4.53396154 1.50786987 0.91584862 1.04620260 0.69575004 -0.56791956 0.73978787 -0.33672168 0.00733240 0.00582353 0.43138043 438.20684665 20.47849444 4.56995431 1.49976475 0.91192134 1.04098421 0.69332815 -0.56187451 0.73295380 -0.33392139 0.00724695 0.00575475 0.43752866 444.45237106 20.52349408 4.60568221 1.49162165 0.90796350 1.03576030 0.69079907 -0.55580013 0.72600215 -0.33105241 0.00716356 0.00568651 0.44370440 450.72583291 20.56817672 4.64114341 1.48344987 0.90397690 1.03051116 0.68816286 -0.54969645 0.71893124 -0.32811603 0.00708177 0.00561877 0.44990742 457.02701244 20.61254707 4.67633600 1.47525150 0.89996306 1.02521200 0.68541971 -0.54356396 0.71174016 -0.32511364 0.00700175 0.00555152 0.45613750 463.35568804 20.65660932 4.71125804 1.46703075 0.89592148 1.01984934 0.68256992 -0.53740281 0.70442965 -0.32204664 0.00692322 0.00548473 0.46239444 469.71163624 20.70036980 4.74590745 1.45880235 0.89184976 1.01442041 0.67961387 -0.53121244 0.69700062 -0.31891642 0.00684736 0.00541838 0.46867800 476.09463177 20.74384334 4.78028213 1.45057098 0.88774518 1.00892090 0.67655203 -0.52499236 0.68945286 -0.31572443 0.00677483 0.00535244 0.47498796 482.50444751 20.78704221 4.81437984 1.44233633 0.88360523 1.00334965 0.67338496 -0.51874403 0.68178970 -0.31247243 0.00670441 0.00528688 0.48132410 488.94085448 20.82996781 4.84819819 1.43408583 0.87943037 0.99770898 0.67011336 -0.51247012 0.67401887 -0.30916258 0.00663376 0.00522167 0.48768619 495.40362189 20.87260822 4.88173459 1.42579853 0.87522229 0.99201641 0.66673807 -0.50617176 0.66614725 -0.30579713 0.00656190 0.00515676 0.49407400 501.89251449 20.91495307 4.91498626 1.41745702 0.87098189 0.98629557 0.66326012 -0.49984860 0.65817396 -0.30237834 0.00648956 0.00509212 0.50048729 508.40729389 20.95699575 4.94795016 1.40905974 0.86671239 0.98054912 0.65968070 -0.49349989 0.65009947 -0.29890876 0.00641757 0.00502769 0.50692583 514.94771990 20.99873863 4.98062300 1.40060641 0.86242071 0.97476868 0.65600121 -0.48712436 0.64192761 -0.29539136 0.00634744 0.00496342 0.51338938 521.51354778 21.04019145 5.01300117 1.39209897 0.85811396 0.96894031 0.65222320 -0.48072135 0.63366792 -0.29182919 0.00627986 0.00489926 0.51987768 528.10452821 21.08136376 5.04508070 1.38352838 0.85379643 0.96304377 0.64834834 -0.47429247 0.62532534 -0.28822510 0.00621374 0.00483516 0.52639050 534.72040732 21.12225176 5.07685738 1.37488353 0.84946889 0.95706798 0.64437836 -0.46784024 0.61690311 -0.28458165 0.00614648 0.00477106 0.53292757 541.36092666 21.16283532 5.10832671 1.36616669 0.84513041 0.95101721 0.64031499 -0.46136768 0.60841130 -0.28090111 0.00607585 0.00470694 0.53948864 548.02582321 21.20308205 5.13948397 1.35739172 0.84078130 0.94489797 0.63615993 -0.45487581 0.59986218 -0.27718550 0.00600073 0.00464275 0.54607345 554.71482940 21.24296163 5.17032426 1.34856990 0.83642613 0.93871797 0.63191471 -0.44836356 0.59126100 -0.27343685 0.00592312 0.00457846 0.55268172 561.42767309 21.28246229 5.20084246 1.33970411 0.83207147 0.93247858 0.62758080 -0.44182803 0.58260801 -0.26965718 0.00584571 0.00451403 0.55931318 568.16407707 21.32158171 5.23103324 1.33080010 0.82772265 0.92618078 0.62315956 -0.43527011 0.57390624 -0.26584815 0.00576864 0.00444945 0.56596756 574.92375598 21.36031354 5.26089116 1.32186447 0.82338346 0.91982527 0.61865225 -0.42869018 0.56516218 -0.26201082 0.00569095 0.00438469 0.57264456 581.70642050 21.39865080 5.29041077 1.31290934 0.81905588 0.91340846 0.61406006 -0.42208794 0.55638491 -0.25814570 0.00561396 0.00431975 0.57934390 588.51177482 21.43660250 5.31958660 1.30394855 0.81473918 0.90695117 0.60938409 -0.41546017 0.54758102 -0.25425298 0.00554020 0.00425463 0.58606528 595.33951597 21.47418777 5.34841322 1.29499697 0.81042967 0.90048186 0.60462551 -0.40880788 0.53875502 -0.25033277 0.00546985 0.00418935 0.59280839 602.18933379 21.51141757 5.37688528 1.28605431 0.80612405 0.89401376 0.59978554 -0.40213261 0.52991314 -0.24638525 0.00540036 0.00412389 0.59957292 609.06091094 21.54828472 5.40499747 1.27710866 0.80182254 0.88754501 0.59486558 -0.39543760 0.52106414 -0.24241058 0.00532981 0.00405828 0.60635855 615.95392287 21.58477570 5.43274452 1.26814760 0.79752780 0.88106818 0.58986720 -0.38872216 0.51221109 -0.23840888 0.00525779 0.00399251 0.61316496 622.86803788 21.62087829 5.46012123 1.25915861 0.79324509 0.87458752 0.58479208 -0.38198630 0.50335147 -0.23438033 0.00518561 0.00392658 0.61999181 629.80291705 21.65659332 5.48712243 1.25012522 0.78898234 0.86810781 0.57964199 -0.37522800 0.49447856 -0.23032541 0.00511468 0.00386050 0.62683875 636.75821430 21.69192239 5.51374296 1.24103759 0.78474593 0.86162708 0.57441881 -0.36844931 0.48558725 -0.22624491 0.00504430 0.00379425 0.63370545 643.73357480 21.72686170 5.53997761 1.23188967 0.78053767 0.85513567 0.56912453 -0.36165075 0.47667561 -0.22213979 0.00497349 0.00372784 0.64059154 650.72863495 21.76140135 5.56582113 1.22267046 0.77635669 0.84862691 0.56376131 -0.35483397 0.46774412 -0.21801119 0.00490183 0.00366124 0.64749666 657.74302338 21.79552856 5.59126819 1.21336535 0.77220293 0.84210741 0.55833149 -0.34799939 0.45878883 -0.21386013 0.00482845 0.00359443 0.65442043 664.77636027 21.82922729 5.61631344 1.20396856 0.76807879 0.83558734 0.55283757 -0.34114709 0.44980838 -0.20968745 0.00475429 0.00352743 0.66136247 671.82825731 21.86249529 5.64095154 1.19447440 0.76398589 0.82908157 0.54728220 -0.33427484 0.44080022 -0.20549367 0.00468102 0.00346022 0.66832240 678.89831769 21.89533307 5.66517720 1.18489926 0.75992146 0.82261047 0.54166821 -0.32738404 0.43176944 -0.20127900 0.00460843 0.00339281 0.67529980 685.98613617 21.92774248 5.68898524 1.17526409 0.75587793 0.81618681 0.53599861 -0.32047403 0.42272496 -0.19704339 0.00453683 0.00332521 0.68229428 693.09129900 21.95972442 5.71237061 1.16558825 0.75184598 0.80981401 0.53027666 -0.31354692 0.41367961 -0.19278669 0.00446557 0.00325743 0.68930542 700.21338397 21.99126989 5.73532838 1.15589035 0.74781790 0.80349587 0.52450586 -0.30660454 0.40464769 -0.18850899 0.00439244 0.00318949 0.69633279 707.35196038 22.02235642 5.75785374 1.14618068 0.74379071 0.79724010 0.51869001 -0.29964860 0.39564402 -0.18421090 0.00431672 0.00312138 0.70337596 714.50658909 22.05296488 5.77994184 1.13645746 0.73976780 0.79105572 0.51283326 -0.29267801 0.38667931 -0.17989342 0.00423933 0.00305310 0.71043450 721.67682388 22.08308190 5.80158785 1.12671758 0.73575695 0.78494147 0.50694019 -0.28569231 0.37775851 -0.17555777 0.00416126 0.00298463 0.71750795 728.86220920 22.11270039 5.82278690 1.11695914 0.73176713 0.77887698 0.50101579 -0.27869157 0.36888207 -0.17120530 0.00408264 0.00291596 0.72459586 736.06228194 22.14180870 5.84353405 1.10719522 0.72780665 0.77285265 0.49506551 -0.27167694 0.36005398 -0.16683744 0.00400276 0.00284707 0.73169776 743.27657267 22.17039387 5.86382432 1.09744196 0.72388145 0.76688362 0.48909511 -0.26464929 0.35127976 -0.16245567 0.00392157 0.00277794 0.73881320 750.50460576 22.19843838 5.88365267 1.08771021 0.71999509 0.76098586 0.48311067 -0.25761022 0.34256584 -0.15806143 0.00383784 0.00270856 0.74594169 757.74589925 22.22591522 5.90301403 1.07800250 0.71615176 0.75516698 0.47711857 -0.25056165 0.33392058 -0.15365630 0.00375050 0.00263890 0.75308275 764.99996497 22.25279475 5.92190324 1.06832700 0.71235663 0.74942455 0.47112546 -0.24350329 0.32535554 -0.14924200 0.00365997 0.00256896 0.76023590 772.26630845 22.27905318 5.94031508 1.05869414 0.70861387 0.74374360 0.46513830 -0.23643502 0.31688495 -0.14482023 0.00356715 0.00249871 0.76740064 779.54443109 22.30467297 5.95824427 1.04911228 0.70492483 0.73812248 0.45916431 -0.22935615 0.30852557 -0.14039250 0.00347290 0.00242813 0.77457648 786.83383123 22.32964026 5.97568553 1.03958868 0.70129108 0.73257619 0.45321099 -0.22226759 0.30029154 -0.13596008 0.00337711 0.00235721 0.78176293 794.13400083 22.35393932 5.99263360 1.03012877 0.69771739 0.72711410 0.44728617 -0.21516946 0.29219424 -0.13152417 0.00327991 0.00228595 0.78895948 801.44443183 22.37755958 6.00908323 1.02073646 0.69420873 0.72174741 0.44139804 -0.20806178 0.28424188 -0.12708598 0.00318211 0.00221433 0.79616563 808.76461633 22.40049451 6.02502922 1.01142539 0.69076823 0.71648839 0.43555521 -0.20094435 0.27644408 -0.12264683 0.00308414 0.00214234 0.80338088 816.09404661 22.42274026 6.04046638 1.00222957 0.68739826 0.71134927 0.42976679 -0.19381774 0.26881221 -0.11820805 0.00298609 0.00206998 0.81060474 823.43221515 22.44429279 6.05538954 0.99318617 0.68410366 0.70633077 0.42404225 -0.18668203 0.26135855 -0.11377093 0.00288808 0.00199724 0.81783669 830.77861457 22.46515069 6.06979357 0.98431186 0.68089290 0.70141722 0.41839155 -0.17953776 0.25409191 -0.10933661 0.00279034 0.00192409 0.82507625 838.13273856 22.48531083 6.08367339 0.97560550 0.67777542 0.69658741 0.41282494 -0.17238595 0.24701743 -0.10490609 0.00269225 0.00185056 0.83232293 845.49408937 22.50476583 6.09702406 0.96706631 0.67475908 0.69184275 0.40735305 -0.16522775 0.24013918 -0.10048009 0.00259336 0.00177662 0.83957623 852.86217035 22.52350827 6.10984073 0.95870258 0.67185018 0.68720551 0.40198684 -0.15806327 0.23346245 -0.09605907 0.00249410 0.00170230 0.84683568 860.23649318 22.54153171 6.12211878 0.95052399 0.66905431 0.68269524 0.39673760 -0.15089402 0.22698945 -0.09164325 0.00239370 0.00162760 0.85410079 867.61658000 22.55881842 6.13385377 0.94254721 0.66637590 0.67831372 0.39161699 -0.14372225 0.22072495 -0.08723276 0.00229049 0.00155253 0.86137113 875.00196346 22.57534439 6.14504148 0.93479561 0.66381805 0.67406302 0.38663703 -0.13654869 0.21467888 -0.08282766 0.00218443 0.00147711 0.86864623 882.39218665 22.59109013 6.15567795 0.92728432 0.66138459 0.66995204 0.38181005 -0.12937258 0.20886347 -0.07842800 0.00207666 0.00140136 0.87592565 889.78680316 22.60604568 6.16575940 0.92002069 0.65908037 0.66599780 0.37714861 -0.12219340 0.20329112 -0.07403382 0.00196827 0.00132529 0.88320897 897.18537887 22.62020586 6.17528230 0.91302135 0.65690927 0.66221393 0.37266547 -0.11501110 0.19797454 -0.06964518 0.00185945 0.00124892 0.89049578 904.58749916 22.63356435 6.18424335 0.90631004 0.65487283 0.65861725 0.36837339 -0.10782674 0.19292486 -0.06526212 0.00174974 0.00117225 0.89778568 911.99276262 22.64611303 6.19263942 0.89991056 0.65297092 0.65522923 0.36428515 -0.10064006 0.18815285 -0.06088462 0.00163940 0.00109531 0.90507831 919.40078826 22.65785108 6.20046767 0.89384709 0.65120379 0.65205492 0.36041341 -0.09345032 0.18366987 -0.05651249 0.00152983 0.00101811 0.91237329 926.81121634 22.66878516 6.20772547 0.88814815 0.64957265 0.64909150 0.35677063 -0.08625739 0.17948762 -0.05214546 0.00142125 0.00094067 0.91967031 934.22370837 22.67891716 6.21441045 0.88284299 0.64807698 0.64634646 0.35336890 -0.07906328 0.17561502 -0.04778315 0.00131230 0.00086301 0.92696905 941.63794716 22.68823714 6.22052051 0.87794872 0.64671381 0.64384049 0.35021990 -0.07186986 0.17205891 -0.04342520 0.00120134 0.00078516 0.93426922 949.05363691 22.69672608 6.22605375 0.87347687 0.64548020 0.64159114 0.34733464 -0.06467819 0.16882339 -0.03907124 0.00108771 0.00070712 0.94157055 956.47050849 22.70436595 6.23100852 0.86943379 0.64437396 0.63960720 0.34472346 -0.05748773 0.16591057 -0.03472091 0.00097220 0.00062893 0.94887281 963.88831805 22.71114528 6.23538340 0.86582244 0.64339359 0.63789390 0.34239589 -0.05029801 0.16332221 -0.03037385 0.00085541 0.00055061 0.95617577 971.30684820 22.71705188 6.23917718 0.86265281 0.64253879 0.63644567 0.34036054 -0.04310996 0.16106251 -0.02602964 0.00073657 0.00047216 0.96347926 978.72591003 22.72206900 6.24238883 0.85993971 0.64181077 0.63525157 0.33862503 -0.03592350 0.15913792 -0.02168787 0.00061571 0.00039361 0.97078311 986.14534308 22.72618640 6.24501754 0.85769328 0.64121099 0.63430232 0.33719594 -0.02873750 0.15755403 -0.01734811 0.00049414 0.00031498 0.97808720 993.56501539 22.72940081 6.24706266 0.85591677 0.64074039 0.63359323 0.33607870 -0.02155164 0.15631328 -0.01300992 0.00037222 0.00023628 0.98539142 1000.98482347 22.73170733 6.24852375 0.85462736 0.64040069 0.63311130 0.33527762 -0.01436670 0.15541987 -0.00867277 0.00024927 0.00015754 0.99269570 1008.40469261 22.73309677 6.24940050 0.85384910 0.64019485 0.63283147 0.33479574 -0.00718292 0.15488117 -0.00433625 0.00012508 0.00007878 1.00000000 1015.82457885 22.73356125 6.24969277 0.85359040 0.64012586 0.63273890 0.33463491 0.00000000 0.15470140 0.00000000 0.00000000 0.00000000