# Thermal boundary layers in turbulent Rayleigh Benard convection with rough and smooth surfaces. # # Aspect ratio 1.1 # Ra = 2.2E11 # # z/H: Distance from the surface of the heating plate normalized by the total distance between the heating and the cooling plates H # Q: normalized temperature (Q_heating_plate=1 Q_bulk=0) # Q': normalzed temperature rms fluctuations # rough surface - top # z/H Q Q' 0.000000 1.0000 0.00000 0.000017 0.9721 0.00372 0.000048 0.9056 0.01040 0.000079 0.8588 0.01778 0.000111 0.8161 0.02381 0.000143 0.7814 0.03058 0.000175 0.7503 0.03800 0.000219 0.7078 0.04919 0.000281 0.6564 0.06256 0.000352 0.6009 0.07765 0.000435 0.5480 0.09381 0.000532 0.5066 0.10351 0.000644 0.4620 0.11497 0.000778 0.4146 0.12279 0.000933 0.3808 0.12766 0.001119 0.3354 0.13530 0.001338 0.3002 0.13750 0.001598 0.2584 0.13779 0.001910 0.2260 0.13378 0.002284 0.1918 0.13243 0.002733 0.1731 0.12756 0.003278 0.1486 0.12569 0.003937 0.1271 0.11375 0.004725 0.1097 0.10897 0.005730 0.0860 0.09828 0.007000 0.0693 0.09315 0.008587 0.0579 0.08472 0.010492 0.0431 0.07340 0.012714 0.0361 0.06930 0.015254 0.0227 0.06338 0.017952 0.0195 0.05760 0.020810 0.0112 0.05108 0.023825 0.0138 0.04880 # rough surface - valley # z/H Q Q' -0.00190 1.0000 0.00000 -0.00189 0.9748 0.00114 -0.00186 0.9496 0.00221 -0.00183 0.9311 0.00791 -0.00179 0.9114 0.00806 -0.00176 0.8983 0.00620 -0.00173 0.8869 0.00653 -0.00169 0.8713 0.00700 -0.00162 0.8561 0.00846 -0.00155 0.8390 0.00950 -0.00147 0.8192 0.01185 -0.00137 0.8036 0.01381 -0.00126 0.7812 0.01652 -0.00113 0.7625 0.01923 -0.00097 0.7426 0.01790 -0.00079 0.7126 0.02595 -0.00057 0.6897 0.02880 -0.00031 0.6614 0.03797 0.00000 0.6102 0.05217 0.00038 0.5120 0.08361 0.00083 0.3902 0.11479 0.00137 0.2872 0.13465 0.00203 0.2164 0.12693 0.00282 0.1662 0.12235 0.00383 0.1244 0.10844 0.00510 0.0962 0.10282 0.00668 0.0738 0.09088 0.00859 0.0542 0.07872 0.01081 0.0421 0.07283 0.01335 0.0265 0.06621 0.01605 0.0212 0.05794 0.01890 0.0126 0.05241 0.02192 0.0137 0.04886 # smooth surface # z/H Q Q' 0.000000 1.0000 0.00000 0.000017 0.9756 0.00225 0.000048 0.9249 0.00687 0.000079 0.8779 0.01210 0.000111 0.8376 0.01686 0.000143 0.8047 0.02151 0.000175 0.7757 0.02817 0.000219 0.7421 0.03499 0.000281 0.6949 0.04765 0.000352 0.6469 0.06037 0.000435 0.5993 0.07186 0.000532 0.5521 0.08413 0.000644 0.5046 0.09612 0.000778 0.4570 0.10783 0.000933 0.4021 0.11740 0.001119 0.3500 0.12500 0.001338 0.3030 0.12988 0.001598 0.2595 0.13159 0.001910 0.2149 0.13033 0.002284 0.1702 0.12801 0.002733 0.1464 0.12330 0.003278 0.1284 0.11789 0.003937 0.1129 0.11102 0.004725 0.0924 0.09957 0.005730 0.0733 0.09233 0.007000 0.0673 0.08634 0.008587 0.0551 0.07932 0.010492 0.0416 0.06716 0.012714 0.0352 0.06376 0.015254 0.0323 0.05758 0.017952 0.0207 0.05286 0.020810 0.0119 0.04721 0.023825 0.0132 0.04593