Lyapunov stability of plane parallel porous convection with heat generation

A typical plane parallel convective motion arising in an externally and internally heated slot filled with some porous material is considered. Temperature dependent diffusion coefficients and nonuniform distribution of volumetric heat sources across the slot are taken into account. Using Lyapunov di...

Full description

Saved in:
Bibliographic Details
Published in:Meccanica (Milan) 2018, Vol.53 (1-2), p.497-501
Main Authors: Saravanan, S., Meenasaranya, M.
Format: Article
Language:English
Subjects:
Automotive Engineering
Brief Notes and Discussions
Civil Engineering
Classical Mechanics
Heat generation
Heat sources
Liapunov direct method
Mechanical Engineering
Physics
Physics and Astronomy
Porous materials
Temperature dependence
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A typical plane parallel convective motion arising in an externally and internally heated slot filled with some porous material is considered. Temperature dependent diffusion coefficients and nonuniform distribution of volumetric heat sources across the slot are taken into account. Using Lyapunov direct method the perturbations are shown to be asymptotically and exponentially stable provided that the Rayleigh number is sufficiently small.
ISSN:0025-6455
1572-9648
DOI:10.1007/s11012-017-0750-x