MHD boundary layer radiative, heat generating and chemical reacting flow past a wedge moving in a nanofluid.

Md Shakhaoath Khan,Ifsana Karim,Mohammad Wahiduzzaman,Md Sirajul Islam

doi:10.1186/s40580-014-0020-8

Md Shakhaoath Khan, Ifsana Karim + Show 2 more

Open Access

https://doi.org/10.1186/s40580-014-0020-8

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Abstract

The present study analyzed numerically magneto-hydrodynamics (MHD) laminar boundary layer flow past a wedge with the influence of thermal radiation, heat generation and chemical reaction. This model used for the momentum, temperature and concentration fields. The principal governing equations is based on the velocity u w(x) in a nanofluid and with a parallel free stream velocity u e(x) and surface temperature and concentration. Similarity transformations are used to transform the governing nonlinear boundary layer equations for momentum, thermal energy and concentration to a system of nonlinear ordinary coupled differential equations with fitting boundary conditions. The transmuted model is shown to be controlled by a number of thermo-physical parameters, viz. the magnetic parameter, thermal convective parameter, mass convective parameter, radiation-conduction parameter, heat generation parameter, Prandtl number, Lewis number, Brownian motion parameter, thermophoresis parameter, chemical reaction parameter and pressure gradient parameter. Numerical elucidations are obtained with the legendary Nactsheim-Swigert shooting technique together with Runge–Kutta six order iteration schemes. Comparisons with previously published work are accomplished and proven an excellent agreement.

Highlights

Falkner and Skan [1] were firstly established a viscous fluid flow in excess of a static wedge by employing similarity transformation that can be utilized to reduce the limited differential boundary layer equations to a nonlinear third-order normal differential equation
This study finds the effect of thermal radiation, heat generation and chemical reaction on themagneto hydrodynamic convection flow past a wedge moving in a nanofluid
4 Results and discussion In order to investigate the physical representation of the problem, the numerical values of velocity (f/), temperature (θ) and concentration (φ) have been computed for resultant principal parameters as the Magnetic parameter M, pressure gradient parameter β, Thermal convective parameter λT, Mass convective parameter λM, local Reynolds number Re, Prandtl number Pr, Heat source parameter Q, Lewis number Le, Brownian motion parameter Nb, thermophoresis parameter Nt, radiation parameter R and chemical reaction parameter γ respectively

Summary

Introduction

Falkner and Skan [1] were firstly established a viscous fluid flow in excess of a static wedge by employing similarity transformation that can be utilized to reduce the limited differential boundary layer equations to a nonlinear third-order normal differential equation. Koh and Hartnett [3] predicted the skin-friction and heat transfer for the boundary layer flow over porous wedges. The steady two dimensional laminar heat transfer flow from a wedge was measured by Lin and Lin [4]. Watanabe [5] investigated thermal boundary layer flow over a uniform surface temperature wedge with a transpiration velocity in forced flow. Hossain et al [7] studied the problem by having temperature dependent viscosity as well as thermal conductivity on the forced flow past a wedge and heat transfer of a viscous incompressible fluid with uniform surface heat flux. Postelnicu and Pop [12] analyzed the stretching wedge problem of Falkner-Skan boundary layer flow of a power-law fluid

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