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Title:Nonlinear thermal instability in spherical shells
Author(s):Riahi, Daniel N.
Subject(s):Nonlinear Thermal Instability
Spherical Shells
Abstract:Thermal instability of the steady conduction state of a fluid in a spherical shell with spherically symmetric physical conditions is reviewed. Particular emphasis is given to the important roles played by the nonlinear instability of finite amplitude disturbances, and the realization of the subsequent convection patterns that are of interest in both theory and application of nonlinear flow instability is discussed. The known preferred cellular structures and their symmetries, including those that exhibit symmetries of platonic solids and those in their relation to mantle convection, are reviewed. The roles played by the Rayleigh number and the degree of spherical harmonics, which have significant influence on the structure of the preferred flow solutions, are discussed.
Issue Date:1998-08
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 886
Genre:Technical Report
Rights Information:Copyright 1998 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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