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ARTICLE

MHD FLOW AND HEAT TRANSFER IN A WILLIAMSON FLUID FROM A VERTICAL PERMEABLE CONE WITH THERMAL AND MOMENTUM SLIP EFFECTS: A MATHEMATICAL STUDY

CH. Amanulla^a,b,* , N. Nagendra^a , M. Suryanarayana Reddy^b

a Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-517325, India.
b Department of Mathematics, JNTUA College of Engineering, Pulivendula-516390, Andhra Pradesh, India.

* Corresponding Author: Email:

Frontiers in Heat and Mass Transfer 2017, 8, 1-11. https://doi.org/10.5098/hmt.8.40

Abstract

A theoretical and computational study of the magneto hydrodynamic flow and free convection heat transfer in an electro-conductive polymer on the external surface of a vertical permeable cone under radial magnetic field is presented. Thermal and velocity (hydrodynamic) slip are considered at the vertical permeable cone surface via modified boundary conditions. The Williamson viscoelastic model is employed which is representative of certain industrial polymers. The non-dimensional, transformed boundary layer equations for momentum and energy are solved with the second order accurate implicit Keller box finite difference method under appropriate boundary conditions. Validation of the numerical solutions is achieved via benchmarking with earlier published results. The influence of Weissenberg number (ratio of the relaxation time of the fluid and time scale of the flow), magnetic body force parameter, stream wise variable and Prandtl number on thermo-fluid characteristics are studied graphically and via tables. A weak elevation in temperature accompanies increasing Weissenberg number whereas a significant acceleration in the flow is computed near the cone surface with increasing Weissenberg number. Nusselt number is reduced with increasing Weissenberg number. Skin friction is increased whereas Nusselt number is reduced with greater stream wise coordinate. The study is relevant to smart coating transport phenomena.

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