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http://dx.doi.org/10.6112/kscfe.2016.21.3.064

MULTIPLE SOLUTIONS IN NATURAL CONVECTION BETWEEN TWO HORIZONTAL PLATES WITH SMALL MAGNITUDE NON-UNIFORM TEMPERATURE IN THE UPPER PLATE  

Yoo, Joo-Sik (Dept. of Mechanical Engineering Education, Andong Nat'l Univ.)
Publication Information
Journal of computational fluids engineering / v.21, no.3, 2016 , pp. 64-70 More about this Journal
Abstract
Multiple solutions in natural convection of water with Pr=7 between two horizontal plates with small magnitude non-uniform temperature distribution in the upper plate is numerically investigated. The dimensionless temperature of upper plate is ${\theta}={\epsilon}sinkx$. Two upright cells are formed over one wave length in the conduction-dominated regime of small Rayleigh number. However, multicellular convection occurs above a critical Rayleigh number for small wave number. When k = 1.5, dual solutions are found and a transition of $6{\rightarrow}4$ eddy flow occurs with decrease of Rayleigh number. When k = 0.75, two, three, four and five multiple solutions are observed. Transitions of $14{\rightarrow}12$, $12{\rightarrow}10$, $10{\rightarrow}8$ and $6{\rightarrow}8$ eddy flow occur with decrease of Rayleigh number.
Keywords
Natural Convection; Non-Uniform Temperature; Multicellular Convection; Multiple Solutions;
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Times Cited By KSCI : 2  (Citation Analysis)
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