Heat Transfer In MHD Viscoplastic Fluid Flow from a Vertical Permeable Cone with Convective Heating

Volume 6 Issue 1 January - March 2017

Research Paper

Heat Transfer In MHD Viscoplastic Fluid Flow from a Vertical Permeable Cone with Convective Heating

CH. Amanulla*, N. Nagendra**, M. Suryanarayana Reddy***

* Research Scholar, Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, India.

** Assistant Professor, Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, India.

*** Assistant Professor and Head, Department of Mathematics, JNTUA College of Engineering, Andhra Pradesh, India.

Amanulla, Ch., Nagendra, N., and Reddy, M.S.N. (2017). Heat Transfer In MHD Viscoplastic Fluid Flow from a Vertical Permeable Cone with Convective Heating. i-manager’s Journal on Mathematics, 6(1), 35-42. https://doi.org/10.26634/jmat.6.1.11401

Abstract

A mathematical model is presented for the magneto-hydrodynamic flow and heat transfer in an electro-conductive Casson viscoplastic non-Newtonian fluid external to a vertical penetrable vertical cone under radial magnetic field and convective heating. The boundary layer conservation equations are parabolic in nature which can be transformed into a non-dimensional form via appropriate non-similarity variables and the emerging boundary value problem is solved computationally with the second order accurate implicit Keller-box finite-difference scheme. The influences of the emerging parameters, i.e. Magnetic parameter (M), Casson fluid parameter (β), Convective heating ( ), and Prandtl number (Pr) on velocity and temperature distributions are illustrated graphically. Validation of solutions with earlier published work is included.