Abstract

The steady two-dimensional laminar boundary layer flow and heat transfer of a viscous incompressible electrically conducting fluid over an exponentially stretching surface in the presence of a uniform magnetic field with thermal radiation are investigated. The governing boundary layer equations are transformed to ordinary differential equations by taking suitable similarity transformation and solved numerically by shooting method. The effects of various parameters such as magnetic parameter, radiation parameter, Prandtl number and Eckert number on local skin-friction coefficient, local Nusselt number, velocity and temperature distributions are computed and represented graphically.

Highlights

  • The study of boundary layer flow and its applications are vital for advancement in the field of technology and engineering

  • Sajid and Hayat [22] extended this concept by investigating the influence of thermal radiation on the boundary layer flow over an exponentially stretching sheet and solved the problem analytically

  • We show that the fluid velocity decreases with increasing value of the magnetic parameter M, due to the effect of Lorentz force produced by transverse magnetic field causes deceleration of fluid velocity

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Summary

Introduction

The study of boundary layer flow and its applications are vital for advancement in the field of technology and engineering. (2015) Thermal Radiation Effects on MHD Boundary Layer Flow over an Exponentially Stretching Surface. The effects of thermal radiation and heat transfer play a pivotal role on the fluid flow problem of boundary layer. Sajid and Hayat [22] extended this concept by investigating the influence of thermal radiation on the boundary layer flow over an exponentially stretching sheet and solved the problem analytically. With reference to above significant studies and in view of importance of MHD applications in various field of technologies, the objective of present paper is to investigate the effect of thermal radiation on an electrically conducting two-dimensional boundary layer incompressible viscous fluid flow over an exponentially stretching surface in the presence of uniform magnetic field by using Rosseland approximation. The promising results of velocity and temperature distributions, local skin-friction coefficient and surface heat transfer are discussed for various physical parameters and simplified their effects for different conditions

Problem Formulation
Similarity Analysis
Numerical Solution of the Problem
Local Skin Friction Coefficient and Local Nusselt Number
Results and Discussion
Conclusion

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