Numerical Study of the Onset of Double-Diffusive Cellular Convection Due to a Uniform Lateral Heat Flux

[+] Author and Article Information
S. Takao, M. Tsuchiya, U. Narusawa

Technical Research Center, Nippon Kokan K.K., Kawasaki, Japan

J. Heat Transfer 104(4), 649-655 (Nov 01, 1982) (7 pages) doi:10.1115/1.3245181 History: Received September 02, 1981; Online October 20, 2009


When a fluid with a vertical solute gradient of (−dS/dy)0 is heated laterally, roll cells start to form at the boundary, developing into a series of convective layers. Numerical experiments were performed to investigate the onset of the abovementioned double-diffusive convection under the application of a uniform lateral heat flux. The paper reports the results and discussion of the following aspects of the stability of double-diffusive convection; (i) the relationship between the critical value, (Ra/Rs)c , above which convection cells form along the vertical wall and the nondimensional slot width, (d/L), (ii) the effect of the Lewis number on (Ra/Rs)c . It was also confirmed that values of (Ra/Rs)c as well as H/L (the nondimensional vertical size of incipient cells) obtained in this numerical experiment for wide slot widths (d/L>∼30), agreed well with those obtained previously by physical experiments.

Copyright © 1982 by ASME
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