The onset of double diffusive convection in a viscoelastic fluid-saturated porous layer with non-equilibrium model

Zhixin Yang; Shaowei Wang; Moli Zhao; Shucai Li; Qiangyong Zhang

doi:10.1371/journal.pone.0079956

The onset of double diffusive convection in a viscoelastic fluid-saturated porous layer with non-equilibrium model

PLoS One. 2013 Nov 28;8(11):e79956. doi: 10.1371/journal.pone.0079956. eCollection 2013.

Authors

Zhixin Yang¹, Shaowei Wang, Moli Zhao, Shucai Li, Qiangyong Zhang

Affiliation

¹ Department of Engineering Mechanics, School of Civil Engineering, Shandong University, Jinan, P.R. China.

Abstract

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.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Algorithms
Convection*
Diffusion*
Models, Theoretical*
Porosity
Viscoelastic Substances

Substances

Viscoelastic Substances

Grants and funding

This work was supported by the National Natural Science Foundation of China (Nos. 11002083, 11002049, and 51279093) and the National Basic Research Program of China (2013CB036000). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.