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

Zhixin Yang,Qiangyong Zhang,Shucai Li,Shaowei Wang,Moli Zhao,Vanesa Magar

doi:10.1371/journal.pone.0079956

Zhixin Yang, Qiangyong Zhang + Show 4 more

Open Access

https://doi.org/10.1371/journal.pone.0079956

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Journal: PloS one	Publication Date: Nov 28, 2013
Citations: 7	License type: CC BY 3.0

Affiliation: Shandong University

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.

Highlights

The problem of double diffusive convection in porous media has attracted considerable interest during the past few decades because of its wide range of applications, including the disposal of the waste material, high quality crystal production, liquid gas storage and others.Early studies on the phenomena of double diffusive convection in porous media are mainly concerned with problem of convective instability in a horizontal layer heated and salted from below
Studies on the phenomena of double diffusive convection in porous media are mainly concerned with problem of convective instability in a horizontal layer heated and salted from below
The inter-phase heat transfer coefficient h depends on the nature of the porous matrix and the saturating fluid, and the small values of h gives rise the relatively strong thermal non-equilibrium effects

Summary

Introduction

The problem of double diffusive convection in porous media has attracted considerable interest during the past few decades because of its wide range of applications, including the disposal of the waste material, high quality crystal production, liquid gas storage and others.Early studies on the phenomena of double diffusive convection in porous media are mainly concerned with problem of convective instability in a horizontal layer heated and salted from below. The inter-phase heat transfer coefficient h depends on the nature of the porous matrix and the saturating fluid, and the small values of h gives rise the relatively strong thermal non-equilibrium effects.

Results

Conclusion