University of Illinois Urbana-Champaign

Effect of permeability on steady flow in a dendrite layer

Riahi, Daniel N.

Content Files
1051.pdf

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https://hdl.handle.net/2142/247

Description

Title
Effect of permeability on steady flow in a dendrite layer
Author(s)
Riahi, Daniel N.
Issue Date
2004-07
Date of Ingest
2007-03-08T21:28:56Z
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]
Publisher
Department of Theoretical and Applied Mechanics (UIUC)
Series/Report Name or Number
TAM Reports 1051
ISSN
0073-5264
Type of Resource
text
Genre of Resource
  • Technical Report
  • Article
Language
en
Permalink
http://hdl.handle.net/2142/247

Owning Collections

Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
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.