Non-Darcy Mixed Convection in a Doubly Stratified Porous Medium with Soret-Dufour Effects

D Srinivasacharya,O Surender

doi:10.1155/2014/126218

Abstract

This paper presents the nonsimilarity solutions for mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a doubly stratified fluid saturated porous medium in the presence of Soret and Dufour effects. The flow in the porous medium is described by employing the Darcy-Forchheimer based model. The nonlinear governing equations and their associated boundary conditions are initially cast into dimensionless forms and then solved numerically. The influence of pertinent parameters on dimensionless velocity, temperature, concentration, heat, and mass transfer in terms of the local Nusselt and Sherwood numbers is discussed and presented graphically.

Highlights

The study of mixed convective transport in a doubly stratified fluid saturated porous medium has been a topic of continuing interest in the past decades owing to its importance in many industrial and engineering applications
This paper presents the nonsimilarity solutions for mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a doubly stratified fluid saturated porous medium in the presence of Soret and Dufour effects
Laminar, hydromagnetic simultaneous heat and International Journal of Engineering Mathematics mass transfer by mixed convection flow over a vertical plate embedded in a uniform porous medium with a stratified free stream and taking into account the presence of thermal dispersion has been investigated for the case of power-law variations of both the wall temperature and concentration by Chamkha and Khaled [6]

Summary

Introduction

The study of mixed convective transport in a doubly stratified (thermal and/or solutal stratification) fluid saturated porous medium has been a topic of continuing interest in the past decades owing to its importance in many industrial and engineering applications. Laminar, hydromagnetic simultaneous heat and International Journal of Engineering Mathematics mass transfer by mixed convection flow over a vertical plate embedded in a uniform porous medium with a stratified free stream and taking into account the presence of thermal dispersion has been investigated for the case of power-law variations of both the wall temperature and concentration by Chamkha and Khaled [6]. 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 have been studied by Srinivasacharya and Ramreddy [13]. Cheng [14] studied the Soret and Dufour effects on the boundary layer flow due to mixed convection heat and mass transfer over a downward-pointing vertical wedge in a porous medium saturated with Newtonian fluids with constant wall temperature and concentration. The influence of stratification parameters, Lewis number, Forchheimer number, Buoyancy parameter, mixed convection parameter, Soret, and Dufour parameters on physical quantities are examined and displayed graphically

Mathematical Formulation

Method of Solution

Results and Discussion

Conclusions