Question

Your answer is incorrect. Try again. A square aluminum plate 5 mm thick and 160 mm on a side is heated while vertically suspended in quiescent air at 40°C. Determine the average heat transfer coefficient for the plate when its temperature is 20°C by two methods: (a) using results from the similarity solution to the boundary layer equations, and (b) using results from an empirical correlation. Evaluate properties of air at the film temperature (a) Determine the average heat transfer coefficient for the plate when its temperature is 20°C using the similarity solution, in W/m2.K L,I (b) Determine the average heat transfer coefficient for the plate when its temperature is 20°C using an emperical correlation, in W/m2.K. hi38.474

Answer 1

Ass umpation s:icent room T-202 iescart Pak 160mm suasa 5mm Thickness At this enpe ausa propeties of Afr im Tabl e Pr = 0.7182 Boundry laya = 子,4701 10 Stnco Ra L <log, Hence flow so lamu nah f condition

clue 0.35 (029n) oGes + 1211(02+128 (o716n) o. 5063 0229. อ.02560 b) ous the agop 14 0.6o14 . 6t6 kal -Sha@g NyL-bLL-= 0.60 t 114 060 3 4201xisca 0.02580

TABLE A-9 Properties of air at 1 atm pressure Thermal Temp. Density Heat cp Conductivity T,°C ρ, kg/m3 J/kg·K 0.01171 0.01582 0.01979 0.02057 0.02134 4.158 × 10-6 8.036×10-6 1.252×10-5 1.356×10-5 1.465×10-5 8.636 × 10-6 1.189×10-6 1.474×10-5 1.527×10-5 1.579×10-5 3.013 × 10-6 5.837×10-6 9.319×10-6 1.008×10-5 1.087×10-5 0.7246 0.7263 0.7440 0.7436 0.7425 0.02211 0.02288 0.02364 0.02401 0.02439 1.578×10-5 1.696×10-5 1.818×10-5 1.880×10-5 1.944×10-5 1.630×10-5 1.680×10-5 1.729×10-5 1.754×10-5 1.778×10-5 1.169×10-5 1.252×10-5 1.338×10-5 1.382×10-5 1.426×10-5 0.7408 0.7387 0.7362 0.7350 0.7336 0.02476 0.02514 0.02551 0.02588 0.02625 0.02662 0.02699 0.02735 0.02808 0.02881 2.009 10-5 2.074×10-5 2.141×10-5 2.208×10-5 2.277×10-5 2.346×10-5 2.416 × 10-5 2.487 × 10-5 2.632 × 10-5 2.780 × 10-5 1.802 10-5 1.825×10-5 1.849×10-5 1.872×10-5 1.895×10-5 1.918×10-5 1.941 ×10-5 1.963 × 10-5 2.008 × 10-5 2.052 × 10-5 1.470 10-5 1.516×10-5 1.562×10-5 1.608×10-5 1.655×10-5 1.702×10-5 1.750 × 10-5 1.798 × 10-5 1.896 × 10-5 1.995 × 10-5 0.7323 0.7309 0.7296 0.7282 0.7268 0.7255 0.7241 0.7228 0.7202 0.7177 2 2.931 × 10-5 3.086 × 10-5 3.243 × 10-5 3.565 × 10-5 3.898 × 10-5 2.096 × 10-5 2.139 × 10-5 2.181 ×10-5 2.264 × 10-5 2.345 × 10-5 2.097 × 10-5 2.201 ×10-5 2.306 × 10-5 2.522 × 10-5 2.745 × 10-5 0.9994 1008 0.9718 1008 0.9458 1009 0.8977 1011 0.8542 1013 0.8148 1016 0.7788 1019 0.7459 1023 0.6746 1033 0.6158 1044 0.5664 1056 0.5243 1069 0.4880 1081 0.4565 1093 0.4042 1115 0.02953 0.03024 0.03095 0.03235 0.03374 0.7154 0.7132 0.7111 0.7073 0.7041 4.241 × 10-5 4.593×10-5 4.954 × 10-5 5.890 × 10-5 6.871 × 2.420 × 10-5 2.504×10-5 2.577 × 10-5 2.760 x 10-5 2.975 × 10-5 3.212×10-5 3.455 × 10-5 4.091 ×10-5 ×10-5 0.03511 0.03646 0.03779 0.04104 0.7014 0.6992 0.6974 0.6946 0.6935 x 105 2.934 x 10 x10-5 4.765 7.892 × 10-5 8.951 x 105 1.004×10-4 3.101 x 10-5 3.261 × 10. 3.415×10-5 3563 х 10 3.846×10-5 5.475 × 10-5 ×10-5 6.997×10-5 7.806 x 10-5 9.515 × 10-5 0.04721 0.05015 0.05298 0.05572 0.6937 0.6948 0.6965 0.6986 0.7037 5 6.219 х10-4 1.352×10-4