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Title:Effect of permeability on steady flow in a dendrite layer
Author(s):Riahi, Daniel N.
Abstract:We consider the problem of nonlinear steady convective flow in a horizontal dendrite layer during alloy solidification. We analyze the effect of permeability of the layer on the stationary modes of convection in the form of two-dimensional rolls and three-dimensional patterns. Under a near-eutectic approximation and the limit of large far-field temperature, we determine the two- and three-dimensional solutions to the weakly nonlinear problem by using a perturbation technique, and the stability of these solutions are investigated with respect to arbitrary three-dimensional disturbances. ... [more]
Issue Date:2004-07
Publisher:Department of Theoretical and Applied Mechanics (UIUC)
Citation Info:Published as: Daniel N. Riahi. Effect of permeability on steady flow in a dendrite layer. Journal of Porous Media, vol. 9, no. 2, 2006, p 135-153. DOI: 10.1615/JPorMedia.v9.i2. Copyright 2006 Begell House Inc.
Series/Report:TAM Reports 1051
Genre:Technical Report
Publication Status:published or submitted for publication
Peer Reviewed:is peer reviewed
Date Available in IDEALS:2007-03-08

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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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