Radiative MHD Flow past a Vertical Melting Front with Variable Temperature
D. Rajani1, J. Siva Ram Prasad2, K. Hemalatha3

1D. Rajani, Department of Mathematics, V. R. Siddhartha Engineering College, Vijayawada, India.

2J. Siva Ram Prasad, Department of Mathematics, V. R. Siddhartha Engineering College, Vijayawada, India.

3K. Hemalatha, Department of Mathematics, V. R. Siddhartha Engineering College, Vijayawada, India.

Manuscript received on 10 April 2019 | Revised Manuscript received on 17 April 2019 | Manuscript Published on 24 May 2019 | PP: 42-46 | Volume-8 Issue-6S3 April 2019 | Retrieval Number: F22090486S219/19©BEIESP

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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: In this paper, a study is made on investigating the melting flow and heat transfer characteristics past a vertical plate embedded in a saturated non-Darcy porous medium. To analyze this flow, continuum equations with the combined impact of magnetic field, thermal dispersion, viscous dissipation and radiation along with variable temperature for Newtonian fluids are developed. The flow analysis is carried out for both assisting and opposing situations. The ensuing system of nonlinear ordinary differential equations is solved numerically using R-K method coupled with shooting technique. The ultimate influence of different governing physical parameters on velocity, temperature profiles and heat transfer rates are numerically discussed and also presented graphically. Further, the results obtained from the current analysis are validated by the results of previously published work.

Keywords: Radiation, Thermal Dispersion, Variable Temperature, Viscous Dissipation.
Scope of the Article: Applied Mathematics and Mechanics