Heat Transfer by Natural Convection in Liquids Confined by Two Parallel Plates Which Are Inclined at Various Angles With Respect to the Horizontal

Abstract

This paper presents results of an experimental investigation of convective heat transfer in liquids confined by two parallel plates and inclined at various angles with respect to the horizontal. The experiments covered a range of Rayleigh numbers between 5(10)4 and 7.17(10)8, and Prandtl numbers between 0.02 and 11,560. Tests were made in rectangular and circular containers having copper plates and insulating walls. The liquids used were water, silicone oils, and mercury. The test results indicate that the heat transfer coefficients for all liquids investigated at the various angles, from horizontal to vertical, may be determined from the relationship Nu=C(Ra)1/3(Pr)0.074 The constant, C, is a function of the angle of inclination. It varies from C = 0.069 for the horizontal case when heated from below to C = 0.049 for the vertical case. For the test cells used, no effect on the Nusselt number had been detected for the vertical case by the change of the ratio of height of cell to distance between plates. The ratio for these tests was varied from 4.41 to 16.56.

Analysis of Heat Transfer by Natural Convection Across Vertical Fluid Layers

“…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.…”

Wärmeübergang bei freier Konvektion in seitlich beheizten Rechteckbehältern

“…Tabelle 1. W/irmefibergangsbeziehungen (zeitlich geordnet) Korrelation Jakob [13] Batchelor [10] Poots [32] Eckert, Carlsson [11] Dropkin, Somerscale [28] Emery, Chu [33] Elder [7] Landis, Yanowitz [34] De Vahl Davis [35] Mc Gregor, Emery [8] Newell, Schmidt [21] Landis, Rubel [36] Cormack et al [14,15] Berkovsky, Polevikov [20] Burnay et al [37] Portier, Arnas [38] Mallinson, De Vahl [39] Tabarrok, Lin [40] Raithby et al…”

“…In Bild 6 sind die mit diesen Beziehungen f/ir einen vertikalen Beh~ilter mit A = 10 in Abh/ingigkeit yon der Rayleigh-Zahl dargestellt. Bis auf die yon Yin et al [22], MacGregor und Emery [8] sowie von Dropkin und Somerscale [28] liegen alle Beziehungen in dem schraffiert angedeuteten Bereich. Dieser Bereich stimmt in etwa auch mit der Streubreite der experimentellen Ergebnisse iiberein, so dab im Grunde keiner der angegebenen Beziehungen ein eindeutiger Vorzug gegeben werden kann.…”

Core stratification effects on natural convection in inclined cavities

“…Dropkin [12] and Arnold [13] reported experimental data. The main attention has been given to heat transfer results.…”