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RESEARCH PAPERS

Unsteady Multicellular Natural Convection in a Narrow Horizontal Cylindrical Annulus

[+] Author and Article Information
D. B. Fant

Air Force Institute of Technology, Wright-Patterson AFB, OH 45433

J. Prusa, A. P. Rothmayer

Iowa State University, Ames, IA 50011

J. Heat Transfer 112(2), 379-387 (May 01, 1990) (9 pages) doi:10.1115/1.2910388 History: Received September 07, 1988; Revised September 29, 1989; Online May 23, 2008

Abstract

Numerical and analytical solutions are presented for multicellular flow instability and the subsequent nonlinear development in a horizontal cylindrical annulus. The Boussinesq approximated Navier–Stokes equations are simplified to Cartesian-like boundary layer equations by means of a high Rayleigh number small gap asymptotic expansion. The full numerical problem is explored for the limiting case of zero Prandtl number. At a finite scaled gap spacing, an instability sets in, which results in periodic multicellular flow. The numerical solutions are found to progress through an increasingly complex sequence of periodic solutions, culminating in a very complex unsteady solution that has features normally associated with chaotic systems.

Copyright © 1990 by The American Society of Mechanical Engineers
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