Rayleigh-Benard convection in a binary fluid-saturated anisotropic porous layer with variable viscosity effect

Abidin Et Al,Null Author_Id

doi:10.21833/ijaas.2022.02.019

Abstract

Rayleigh-Benard convection due to buoyancy that occurred in a horizontal binary fluid layer saturated anisotropic porous media is investigated numerically. The system is heated from below and cooled from above. The temperature-dependent viscosity effect was applied to the double-diffusive binary fluid and the critical Rayleigh number for free-free, rigid-free, and rigid-rigid representing the lower-upper boundary were obtained by using the single-term Galerkin expansion procedure. Both boundaries are conducted to temperature. The effect of temperature-dependent viscosity, mechanical anisotropy, thermal anisotropy, Soret, and Dufour parameters on the onset of stationary convection are discussed and shown graphically.

Highlights

Double diffusive convection in a porous medium has been studied due to the importance in geophysics where groundwater usually contains salts in solution and both thermal expansion and solute concentration variations can produce variations in density
Viscosity variation in a double-diffusive nanofluid layer was studied by Yadav et al (2013; 2017) where the results showed that the viscosity variation delayed the onset of convection
We study the effect of temperature-dependent viscosity in a doublediffusive binary fluid layer saturated in a porous layer

Summary

Introduction

Double diffusive convection in a porous medium has been studied due to the importance in geophysics where groundwater usually contains salts in solution and both thermal expansion and solute concentration variations can produce variations in density. The research on this type of mixture was first reported by Nield and Kuznetsov (2011) where both stationary and oscillatory mode for a thermosolutal convective binary fluid layer induced by thermal and solutal gradients is investigated. Nield (1968) has studied the onset of double-diffusive convection in a horizontal layer of a saturated porous medium.

Results

Conclusion