Magnetohydrodynamic (MHD) Boundary Layer Flow Past a Wedge with Heat Transfer and Viscous Effects of Nanofluid Embedded in Porous Media

Wubshet Ibrahim,Ayele Tulu

doi:10.1155/2019/4507852

Wubshet Ibrahim, Ayele Tulu

Open Access

https://doi.org/10.1155/2019/4507852

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Abstract

The problem of two-dimensional steady laminar MHD boundary layer flow past a wedge with heat and mass transfer of nanofluid embedded in porous media with viscous dissipation, Brownian motion, and thermophoresis effect is considered. Using suitable similarity transformations, the governing partial differential equations have been transformed to nonlinear higher-order ordinary differential equations. The transmuted model is shown to be controlled by a number of thermophysical parameters, viz. the pressure gradient, magnetic, permeability, Prandtl number, Lewis number, Brownian motion, thermophoresis, and Eckert number. The problem is then solved numerically using spectral quasilinearization method (SQLM). The accuracy of the method is checked against the previously published results and an excellent agreement has been obtained. The velocity boundary layer thickness reduces with an increase in pressure gradient, permeability, and magnetic parameters, whereas thermal boundary layer thickness increases with an increase in Eckert number, Brownian motion, and thermophoresis parameters. Greater values of Prandtl number, Lewis number, Brownian motion, and magnetic parameter reduce the nanoparticles concentration boundary layer.

Highlights

Fluid flows with convective heat and mass transfer over a wedge shaped bodies is ensured in many thermal engineering applications like crude oil extraction, geothermal systems, thermal insulation, heat exchangers, and the storage of nuclear waste, Nagendramma et al [1]
The skin friction coefficient enhances with increase in pressure gradient, permeability, and magnetic parameter
The governing equations are transformed to a system of nonlinear ordinary differential equations and solved numerically employing spectral quasilinearization method

Summary

Introduction

Fluid flows with convective heat and mass transfer over a wedge shaped bodies is ensured in many thermal engineering applications like crude oil extraction, geothermal systems, thermal insulation, heat exchangers, and the storage of nuclear waste, Nagendramma et al [1]. Due to extensive practical applications of MHD in technological processes such as plasma studies, petroleum industries, MHD power generator designs, design for cooling of nuclear reactors, and construction of heat exchangers and on the performance of many other systems, there are many studies that considered MHD fluid flow past a wedge. These include the work of Abbasbandy et al [10] who examined the effects of MHD in the Falken-Skan flow of Maxwell fluid, and El-Dabe et al [11] considered the MHD boundary layer flow of non-Newtonian

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