A Numerical Study of MHD and Heat Transfer Analysis in a non-Newtonian Eyring-Powell Fluid from an Isothermal Sphere with Thermal Slip

K  Madhavi; N  Nagendra; V  Ramachandra Prasad; A  Subba Rao  and G  S  S  Raju

doi:10.17485/ijst/2017/v10i17/104598

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A Numerical Study of MHD and Heat Transfer Analysis in a non-Newtonian Eyring-Powell Fluid from an Isothermal Sphere with Thermal Slip

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2017/v10i17/104598

Year: 2017, Volume: 10, Issue: 17, Pages: 1-5

Original Article

A Numerical Study of MHD and Heat Transfer Analysis in a non-Newtonian Eyring-Powell Fluid from an Isothermal Sphere with Thermal Slip

K. Madhavi¹, N. Nagendra^1*, V. Ramachandra Prasad¹ , A. Subba Rao¹ and G. S. S. Raju²

¹Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle – 517325, Andhra Pradesh, India; [email protected] ²Department of Mathematics, JNTU College of Engineering, Pulivendula – 516390, Andhra Pradesh, India

*Author for the correspondence:
N. Nagendra
Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle – 517325, Andhra Pradesh, India; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The study of magneto hydrodynamic flow and heat transfer analysis in a non–Newtonian Eyring–Powell fluid fluid past an isothermal sphere with thermal slip. The radiation effects also considered in the energy equation. The governing momentum and energy equations are transformed to nonlinear ordinary differential equations by the use of a nonsimilarity transformation. These equations are solved by numerically subject to physical appropriate boundary conditions using the second order accurate implicit finite difference Keller-box technique. The effects of magnetic field, Eyring-Powell fluid parameter, Prandtl number, Slip parameter on velocity and temperature profiles as well as on the local skin friction coefficient and the local Nusselt number are calculated.

Keywords: Difference Scheme, Eyring-Powell Fluid, Isothermal Sphere, Kellerbox Finite, Magneto Hydrodynamic