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Nonlinear oscillatory convection in rotating mushy layers

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Title: Nonlinear oscillatory convection in rotating mushy layers
Author(s): Riahi, Daniel N.
Abstract: We consider the problem of nonlinear oscillatory convection in a horizontal mushy layer rotating about a vertical axis. We analyze the standing and traveling modes of oscillatory convection in the form of two-dimensional oblique rolls and three-dimensional distorted patterns. Under a near-eutectic approximation and the limit of large far-field temperature, we determine the two- and three-dimensional oscillatory solutions to the weakly nonlinear problem by using a perturbation technique, and the stability of these oscillatory solutions are investigated with respect to arbitrary three-dimensional disturbances. The results of the analyses indicate, in particular, that depending on the range of the values of the parameters, convection in the form of supercritical traveling hexagons can be stable and preferred, provided the value of the rotation parameter T (square root of a Taylor number) is not too small and is below some value, which can depend on the other parameter values. [More ...]
Issue Date: 2004-12
Publisher: Department of Theoretical and Applied Mechanics (UIUC)
Series/Report: TAM Reports 1058, (2004)
Genre: Technical Report
Type: Text
Language: English
URI: http://hdl.handle.net/2142/316
ISSN: 0073-5264
Publication Status: published or submitted for publication
Peer Reviewed: is peer reviewed
Date Available in IDEALS: 2007-03-09
Is Version Of: Published as: Daniel N. Riahi. Nonlinear oscillatory convection in rotating mushy layers, Journal of Fluid Mechanics, Vol. 553, 2006, pp 389-400. DOI: 10.1017/S0022112006009037. Copyright 2006 Cambridge University Press.
 

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  • Theoretical and Applied Mechanics (TAM) Technical Reports
    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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