Cargando…

The Onset of Double Diffusive Convection in a Viscoelastic Fluid-Saturated Porous Layer with Non-Equilibrium Model

The onset of double diffusive convection in a viscoelastic fluid-saturated porous layer is studied when the fluid and solid phase are not in local thermal equilibrium. The modified Darcy model is used for the momentum equation and a two-field model is used for energy equation each representing the f...

Descripción completa

Detalles Bibliográficos
Autores principales: Yang, Zhixin, Wang, Shaowei, Zhao, Moli, Li, Shucai, Zhang, Qiangyong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3842928/
https://www.ncbi.nlm.nih.gov/pubmed/24312193
http://dx.doi.org/10.1371/journal.pone.0079956
_version_ 1782293008449798144
author Yang, Zhixin
Wang, Shaowei
Zhao, Moli
Li, Shucai
Zhang, Qiangyong
author_facet Yang, Zhixin
Wang, Shaowei
Zhao, Moli
Li, Shucai
Zhang, Qiangyong
author_sort Yang, Zhixin
collection PubMed
description The onset of double diffusive convection in a viscoelastic fluid-saturated porous layer is studied when the fluid and solid phase are not in local thermal equilibrium. The modified Darcy model is used for the momentum equation and a two-field model is used for energy equation each representing the fluid and solid phases separately. The effect of thermal non-equilibrium on the onset of double diffusive convection is discussed. The critical Rayleigh number and the corresponding wave number for the exchange of stability and over-stability are obtained, and the onset criterion for stationary and oscillatory convection is derived analytically and discussed numerically.
format Online
Article
Text
id pubmed-3842928
institution National Center for Biotechnology Information
language English
publishDate 2013
publisher Public Library of Science
record_format MEDLINE/PubMed
spelling pubmed-38429282013-12-05 The Onset of Double Diffusive Convection in a Viscoelastic Fluid-Saturated Porous Layer with Non-Equilibrium Model Yang, Zhixin Wang, Shaowei Zhao, Moli Li, Shucai Zhang, Qiangyong PLoS One Research Article The onset of double diffusive convection in a viscoelastic fluid-saturated porous layer is studied when the fluid and solid phase are not in local thermal equilibrium. The modified Darcy model is used for the momentum equation and a two-field model is used for energy equation each representing the fluid and solid phases separately. The effect of thermal non-equilibrium on the onset of double diffusive convection is discussed. The critical Rayleigh number and the corresponding wave number for the exchange of stability and over-stability are obtained, and the onset criterion for stationary and oscillatory convection is derived analytically and discussed numerically. Public Library of Science 2013-11-28 /pmc/articles/PMC3842928/ /pubmed/24312193 http://dx.doi.org/10.1371/journal.pone.0079956 Text en © 2013 Yang et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Yang, Zhixin
Wang, Shaowei
Zhao, Moli
Li, Shucai
Zhang, Qiangyong
The Onset of Double Diffusive Convection in a Viscoelastic Fluid-Saturated Porous Layer with Non-Equilibrium Model
title The Onset of Double Diffusive Convection in a Viscoelastic Fluid-Saturated Porous Layer with Non-Equilibrium Model
title_full The Onset of Double Diffusive Convection in a Viscoelastic Fluid-Saturated Porous Layer with Non-Equilibrium Model
title_fullStr The Onset of Double Diffusive Convection in a Viscoelastic Fluid-Saturated Porous Layer with Non-Equilibrium Model
title_full_unstemmed The Onset of Double Diffusive Convection in a Viscoelastic Fluid-Saturated Porous Layer with Non-Equilibrium Model
title_short The Onset of Double Diffusive Convection in a Viscoelastic Fluid-Saturated Porous Layer with Non-Equilibrium Model
title_sort onset of double diffusive convection in a viscoelastic fluid-saturated porous layer with non-equilibrium model
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3842928/
https://www.ncbi.nlm.nih.gov/pubmed/24312193
http://dx.doi.org/10.1371/journal.pone.0079956
work_keys_str_mv AT yangzhixin theonsetofdoublediffusiveconvectioninaviscoelasticfluidsaturatedporouslayerwithnonequilibriummodel
AT wangshaowei theonsetofdoublediffusiveconvectioninaviscoelasticfluidsaturatedporouslayerwithnonequilibriummodel
AT zhaomoli theonsetofdoublediffusiveconvectioninaviscoelasticfluidsaturatedporouslayerwithnonequilibriummodel
AT lishucai theonsetofdoublediffusiveconvectioninaviscoelasticfluidsaturatedporouslayerwithnonequilibriummodel
AT zhangqiangyong theonsetofdoublediffusiveconvectioninaviscoelasticfluidsaturatedporouslayerwithnonequilibriummodel
AT yangzhixin onsetofdoublediffusiveconvectioninaviscoelasticfluidsaturatedporouslayerwithnonequilibriummodel
AT wangshaowei onsetofdoublediffusiveconvectioninaviscoelasticfluidsaturatedporouslayerwithnonequilibriummodel
AT zhaomoli onsetofdoublediffusiveconvectioninaviscoelasticfluidsaturatedporouslayerwithnonequilibriummodel
AT lishucai onsetofdoublediffusiveconvectioninaviscoelasticfluidsaturatedporouslayerwithnonequilibriummodel
AT zhangqiangyong onsetofdoublediffusiveconvectioninaviscoelasticfluidsaturatedporouslayerwithnonequilibriummodel