Abstract

The present study comprises of steady two dimensional magnetohydrodynamic heats and mass transfer free convection flow along a vertical stretching sheet in the presence of magnetic field. The problem has been analyzed by applying Nachtsheim-Swigert shooting iteration technique with sixth order Runge-Kutta integration scheme. The nonlinear partial differential equations governing the flow fields occurring in the problems have been transformed to dimensionless nonlinear ordinary differential equations by introducing suitably selected similarity variables. The ensuing equations are simultaneously solved by applying numerical iteration scheme for velocity, temperature and concentration. The results are displayed graphically in the form of velocity, temperature and concentration profiles. The corresponding skin-friction coefficient, Nusselt number and Sherwood number are displayed in tabular form as well. The effects of several important parameters on the velocity, temperature and concentration profiles are investigated.

Highlights

  • Transport processes occur either naturally or artificially and in both cases the differences of density made by temperature, chemical composition differences and gradients and material or phase constitution define or drive the flow

  • It can be said that the study of boundary layer flow and heat transfer over a continuously stretched surface is very important because of its various possible applications in countless places such as hot rolling, wire drawing and plastic extrusion, continuous casting, glass fiber production, crystal growing, paper production and many other places that are important for our industrial developments and financial developments as well

  • The problem of mass transfer at the stretched surface came into light and it was solved by Erickson et al (1966) who solved it extending the study of Sakiadis (1961a) combined analytical and experimental study of the flow and temperature fields in the boundary layer on a continuous stretching sheet was presented by Tsou et al (1967)

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Summary

Introduction

Transport processes occur either naturally or artificially and in both cases the differences of density made by temperature, chemical composition differences and gradients and material or phase constitution define or drive the flow. The radiation effect on hydro-magnetic convective heat transfer over a stretching sheet was considered and investigated by Ghaly (2002). We have shown the dimensionless velocity, temperature and concentration profiles to present the result s obtained in the numerical computations have been carried out for various values of parameters entering into the problem in compliance with the different physical conditions.

Results
Conclusion
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