Browse > Article

Multiplicity of Flows in a Rayleigh-Benard Problem with Non-Uniform Wall Temperatures  

Yoo, Joo-Sik (안동대학교, 기계교육과)
Kim, Yong-Jin (한국기계연구원, 열유체환경연구부)
Publication Information
대한공업교육학회지 / v.30, no.2, 2005 , pp. 123-129 More about this Journal
Abstract
A Rayleigh-Benard problem with non-uniform wall temperatures of the form, $T_L=T_1+{\delta}{\Delta}T{\sin}kx$ and $T_U=T_2-{\delta}{\Delta}{\sin (kx)$, is numerically investigated. In the conduction-dominated regime with small a Rayleigh number, a two-tier structure appears with two counter-rotating rolls stacked on the top of each other. The flow becomes unstable with increase of the Rayleigh number, and multicellular convection occurs above a critical Rayleigh number. The multicellular flows at high Rayleigh numbers consist of approximetely square-shape cells. Four multiple flows and dual flows classified by the number of cells are found at k=0.5 and k=1, respectively.
Keywords
Natural Convection; Multicellular Flow; Multiple Solution;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Benjamin, T. B. and Mullin, T. (1982). Notes on the multiplicity of flows in the Taylor experiment. J. Fluid Mech., 121, 219-310   DOI
2 Yoo, J.-S. and Schultz, W.W. (2003). Thermal convection in a horizontal porous layer with spatially periodic boundary temperatures: small Ra flow. Int. J. Heat and Mass Transfer, 46(24), 4747-4750   DOI   ScienceOn
3 Busse, F. H. (1981). Transition to turbulence in Rayleigh- Benard convection. In Topics in Applied Physics, Vol. 45, Edited by H. L. Swinney and J. P. Gollub. Springer-Verlag, 97-137
4 Napolitano, M. and Quartapelle, L. (1985). Block ADI Methods for steady natural convection in two dimensions, in Numerical Methods in Heat and Mass Transfer. Vol. 3, John Wiley and Sons. 125-148
5 Bradean, R., Ingham, D.B., Heggs, P.J. and Pop, I. (1996). Buoyancy-induced flow adjacent to a periodically heated and cooled horizontal surface in porous media. lnt. J. of Heat and Mass Transfer, 39(3), 615-630   DOI   ScienceOn