Soret and Dufour effects on mixed convection in a non-Darcy porous medium saturated with micropolar fluid

D Srinivasacharya,Ch Ramreddy

doi:10.15388/na.16.1.14118

Abstract

In this paper, the Soret and Dufour effects on the steady, laminar mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a non-Darcy porous medium saturated with micropolar fluid are studied. The governing partial differential equations are transformed into ordinary differential equations. The local similarity solutions of the transformed dimensionless equations for the flow, microrotation, heat and mass transfer characteristics are evaluated using Keller-box method. Numerical results are presented in the form of velocity, microrotation, temperature and concentration profiles within the boundary layer for different parameters entering into the analysis. Also the effects of the pertinent parameters on the local skin friction coefficient and rates of heat and mass transfer in terms of the local Nusselt and Sherwood numbers are also discussed.

Highlights

A situation where both the forced and free convection effects are of comparable order is called mixed or combined convection
Postelnicu [5] studied numerically the influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects. Both free and forced convection boundary layer flows with Soret and Dufour effects have been addressed by Abreu et al [6]
In the absence of Forchheimer number, the present investigation reduces to a mixed convection heat and mass transfer in a micropolar fluid saturated porous medium with Soret and Dufour effects

Summary

Introduction

A situation where both the forced and free convection effects are of comparable order is called mixed or combined convection. Postelnicu [5] studied numerically the influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects Both free and forced convection boundary layer flows with Soret and Dufour effects have been addressed by Abreu et al [6]. The problem of mixed convection heat and mass transfer in the boundary layer flow along a vertical surface submerged in a micropolar fluid has been studied by a number of investigators. A mathematical model for the steady thermal convection heat and mass transfer in a micropolar fluid saturated Darcian porous medium in the presence of Dufour and Soret effects and viscous heating is presented by Rawat and Bhargava [17]. The present paper deals with Soret and Dufour effects on the mixed convection from a semi-infinite vertical plate embedded in a stable, non-Darcy micropolar fluid with uniform wall temperature and concentration. The results are compared with relevant results in the existing literature and are found to be in good agreement

Mathematical formulation

Results and discussions

Conclusions