Transition of Natural Convective Flows in a Horizontal Cylindrical Annulus: Pr=0.2

- Journal title : Transactions of the Korean Society of Mechanical Engineers B
- Volume 25, Issue 6, 2001, pp.804-810
- Publisher : The Korean Society of Mechanical Engineers
- DOI : 10.22634/KSME-B.2001.25.6.804

Title & Authors

Transition of Natural Convective Flows in a Horizontal Cylindrical Annulus: Pr=0.2

Yu, Ju-Sik; Ha, Dae-Hong;

Yu, Ju-Sik; Ha, Dae-Hong;

Abstract

Transition of flows in natural convection in a horizontal cylindrical annulus is investigated for the fluid with Pr=0.2. The unsteady streamfunction-vorticity equation is solved with finite difference method. As Rayleigh number is increased, the steady crescent-shaped eddy flow bifurcates to a time-periodic flow with like-rotating eddies. After the first Hopf bifurcation, however, a reverse transition from oscillatory to a steady flow occurs by the flow pattern variation. Hysteresis phenomenon occurs between the solution branches of up-scan and down-scan stages, and dual solutions with one steady and one oscillatory flow are found. Overall Nusselt of the flows at the flows at the down-scan stage is greater than that at the up-scan stage.

Keywords

Natural Convection;Oscillatory Convection;Transition;Dual Solutions;Hysteresis Phenomenon;

Language

Korean

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