Prandtl Number Effects on Natural Convection in an Enclosed Vertical Layer

Analysis of Heat Transfer by Natural Convection Across Vertical Fluid Layers

“…Mercury. Early measurements (Emery [6]) for A = 4.7 and 10 were substantially different than later measurements by MacGregor and Emery [12] for A = 20. The present analysis predicts that for Pr = 0.02, Nu w = 0.16 Raj/ 1/4 ; the best curve through the MacGregor and Emery data is Nu# » 0.17 Ra H 1/4 .…”

“…Emery and coworkers [6,7,11,12] and Landis and Yanowitz [10] have reported a large number of measurements for vertical fluid layers bounded by a hot vertical plate with a uniform heat flux boundary condition and a cold isothermal vertical plate. Fluids with Prandtl numbers from 0.02 to 30,000 were used.…”

“…Data by MacGregor and Emery [12] for liquids with Pr > 1 and 10 < A < 80 can be correlated in the laminar regime by the equation NUH = 0.32 Ra// 1/4 , where the average temperature of the hot plate is used in calculating the temperature difference. There is some scatter in the data about this equation, but most lie within the band !7u w = 0.…”

“…Several relevant experimental [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] x and analytical [17][18][19][20][21][22][23][24][25][26][27] studies have been reported over the past 46 years. Batchelor [17] was first able to bring order to this complex problem by defining various flow regimes, and proposing equations for heat transfer across the fluid layer for each regime.…”