TITLE

Conditional and unconditional nonlinear stability for convection induced by absorption of radiation in a porous medium

AUTHOR(S)
Hill, A.A.
PUB. DATE
May 2004
SOURCE
Continuum Mechanics & Thermodynamics;May2004, Vol. 16 Issue 4, p305
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Convection induced by the selective absorption of radiation is investigated, for the case of an internal heat source that is modelled quadratically with respect to concentration. The growth rate for the linearised system is shown to be real, and a linear instability analysis is performed. To establish conditional and unconditional nonlinear stability results, both the Darcy and Forchheimer models are employed to describe fluid flow. Due to the presence of significant regions of potential subcritical instabilities, the results indicate that linear theory may only be accurate enough to predict the onset of convective motion when the model for the internal heat source is predominantly linear.
ACCESSION #
13678136

 

Related Articles

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics