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Journal of Flow Visualization and Image Processing
SJR: 0.161 SNIP: 0.312 CiteScore™: 0.1

ISSN Imprimer: 1065-3090
ISSN En ligne: 1940-4336

Journal of Flow Visualization and Image Processing

DOI: 10.1615/JFlowVisImageProc.v6.i1.30
pages 33-40

NUMERICAL THERMAL AND FLUID FLOW TRANSPORT PHENOMENON OF RAYLEIGH-BENARD CONVECTION IN A THIN LIQUID LAYER

Wen-Jei Yang
Department of Mechanical Engineering and Applied Mechanics University of Michigan, Ann Arbor, Michigan 48109-2125, U.S.A.

RÉSUMÉ

A numerical study is performed on thermal fluid-flow transport phenomena in a Benard convection in a thin liquid layer, which is induced by the buoyancy force called Rayleigh-Benard type. Consideration is given to the onset of instability, which implies the switch from conduction to convection in the liquid layer. The two-dimensional governing equations are discretized by means of a finite-difference technique, and numerically solved. Multicellular flow structures can be simulated and the temperature distribution in the liquid layer is obtained. It is found from the study that (1) the flow structure and temperature distribution are dependent on the depth of the liquid layer, and (2) in contrast, the effect of layer thickness on heat transfer performance is minor. The prediction for Rayleigh-Benard convection has derived the critical Rayleigh number of 1700, the critical value for the incipience of fluid motion in the liquid layer (i.e., change in the heat transfer mode from conduction to convection).