Numerical analysis of nonlinear radiation, viscous and Ohmic dissipation effects on steady Magnetohydrodynamic forced convection flow over a shrinking surface with internal heat generation/absorption

J. Wilfred Samuel Raj¹ , S.P. Anjali Devi²

1. Department of Mathematics, The American College, Madurai – 652002, Tamilnadu, India.
2. Department of Applied Mathematics, Bharathiar University, Coimbatore – 641046, Tamilnadu, India.

Correspondence should be addressed to: wilfred_dphd@yahoo.com.

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.2 , pp.9-6, Apr-2020

Online published on Apr 30, 2020

Copyright © J. Wilfred Samuel Raj, S.P. Anjali Devi . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
An analysis has been carried out to investigate nonlinear radiation effects on MHD boundary layer flow over a shrinking surface with internal heat generation/absorption, viscous and Ohmic dissipation. The governing nonlinear partial differential equations are reduced to nonlinear ordinary differential equations using similarity transformations. In this analysis, Nachtsheim Swigert shooting iteration scheme coupled with a fourth order Runge Kutta integration algorithm is adopted to solve the nonlinear boundary value problem. The effects of Magnetic parameter, Suction parameter, Prandtl number, Heat generation/absorption parameter, Eckert number, Radiation parameter and Temperature ratio parameter on dimensionless velocity, skin friction coefficient, dimensionless temperature and dimensionless rate of heat transfer are discussed. It is apparent from the investigation that the increasing effect of Temperature ratio parameter is to enhance the thermal boundary layer thickness and reduce the dimensionless rate of heat transfer.

Key-Words / Index Term :
Boundary layer flow, Kummer’s function, Magnetic field, Thermal radiation

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