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Title:Inertial and Coriolis effects on oscillatory flow in a horizontal dendrite layer
Author(s):Riahi, Daniel N.
Subject(s):rotating convection
dendrite layer
oscillatory convection
oscillatory instability
inertial flow
mushy layers
stability analysis
Abstract:Flow instability due to oscillatory modes of disturbances in a horizontal dendrite layer during alloy solidification is investigated under an external constraint of rotation. The flow in the dendrite layer, which is modeled as flow in a porous layer under the Darcy’s law but with the inertial effects included, is assumed to rotate about the vertical axis at a constant angular velocity. The investigation is an extension of the work in Riahi (2003), which was for the case in the absence of the inertial effects. Results of the stability analyses indicate, in particular, that the Coriolis effect can enhance the physical domain for the oscillatory flow, while the inertial effect tends to reduce such domain. Sufficiently strong inertial effect can eliminate presence of the oscillatory mode only for the rotation rate beyond some value.
Issue Date:2006-01
Series/Report:TAM Reports 1082
Technical Report
Publication Status:published or submitted for publication
Peer Reviewed:is peer reviewed
Date Available in IDEALS:2007-01-14
Is Version Of:Published as: Daniel N. Riahi, Inertial and coriolis effects on oscillatory flow in a horizontal dendrite layer. Transport in Porous Media, Published online: 22 March 2007. DOI: 10.1007/s11242-006-9091-2. Copyright 2007 Springer Netherlands.

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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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