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An Anomalous Bifurcation in Natural Convection between Two Horizontal Plates with Periodic Temperatures  

Yoo Joo-Sik (안동대학교 기계교육과)
Kim Yong-Jin (한국기계연구원)
Publication Information
Journal of computational fluids engineering / v.9, no.4, 2004 , pp. 1-6 More about this Journal
Abstract
This study investigates the transition of flows in a natural convection problem with periodic wall temperatures of the form, T/sub L/=T₁＋δ Tsinκχ and T/sub L/=T₂＋δ Tsinκχ .The fluid considered is air with P/sub γ/=0.7. In the conduction-dominated regime with a small Rayleigh number, two large cells are formed over one wave length, for all wave numbers. When k≤1.8, the flow becomes unstable with increase of the Rayleigh number, and multicellular convection occurs above a critical Rayleigh number. The flow patterns are classified by the number of eddies over one wave length, and several kinds of transition phenomena, such as 2→3→4, 4→3→2, and 2→4 eddy flow, occur with increase( or decrease) of the Rayleigh number. Dual solutions are found above a critical Rayleigh number, and an anomalous bifurcation is observed.
Keywords
Natural Convection; Transition; Bifurcation; Dual Solutions;
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