Abstract

The influence of radiation on magneto-hydrodynamics (MHD) boundary layer flow over an exponentially stretching sheet embedded in a thermally stratified porous medium in the presence of heat source and suction/blowing was investigated. Similarity transformation was used to convert the governing equations from partial differential equations into a system of non-linear ordinary differential equations. Solving numerically, we used shooting method along with fourth order Runge-Kutta technique to obtained numerical values. The effects of the obtained numerical values of the dimensionless parameters on skin-friction coefficient, Nusselt number, velocity profile and temperature profile are illustrated in table and graphs plotted using MATLAB. Comparison of the velocity profile with previously published work was presented and found to be in good agreement.

Highlights

  • The present century saw a thorough and better understanding of the principles of fluid mechanics and knowledge of how to apply them to any real life problems

  • The flow of a viscous, incompressible fluid over a stretching sheet was first considered by Sakiadis [1], who wrote on boundary layer behavior on continuous solid surface moving with a constant velocity

  • We extended the work of Mukhopadhyay [13] by considering the influence of radiation on MHD boundary layer flow over an exponentially stretching sheet embedded in a thermally stratified porous medium with heat source and suction/blowing

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Summary

Introduction

The present century saw a thorough and better understanding of the principles of fluid mechanics and knowledge of how to apply them to any real life problems. MHD flow of Nano fluids over an exponentially stretching sheet embedded in a stratified medium with suction and radiation effects was investigated by Loganthan and Vimala [16] He reported that increase in stratification parameter leads to decrease in the Nano fluid’s temperature. Gireesha et al [19], worked on boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source They reported that both temperature and velocity profiles decreases with increase in thermal stratification parameter. We extended the work of Mukhopadhyay [13] by considering the influence of radiation on MHD boundary layer flow over an exponentially stretching sheet embedded in a thermally stratified porous medium with heat source and suction/blowing.

Boundary conditions
Similarity transformation
Numerical Solution
Results and Discussion
Conclusion
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