Outlining the impact of melting on MHD Casson fluid flow past a stretching sheet in a porous medium with radiation

Fazle Mabood; Kalidas Das

doi:10.1016/j.heliyon.2019.e01216

Outlining the impact of melting on MHD Casson fluid flow past a stretching sheet in a porous medium with radiation

Heliyon. 2019 Feb 8;5(2):e01216. doi: 10.1016/j.heliyon.2019.e01216. eCollection 2019 Feb.

Authors

Fazle Mabood¹, Kalidas Das²

Affiliations

¹ School of Information Technology, Fanshawe College London, ON, Canada.
² Department of Mathematics, Krishnagar Govt. College, Krishnagar, 741101, Nadia, WB, India.

Abstract

This article focused on framing the features of melting heat transfer on magnetohydrodynamic (MHD) Casson fluid flow in a porous medium influenced by thermal radiation. The present model is employed to simulate the viscoelastic behavior of fluid in the porous regime. Firstly, the governing partial differential equations are converted into ordinary differential equations via suitable similarity transformation and then solved the developed nonlinear equations by using Runge-Kutta Fehlberg-45 order method. A detailed analysis of certain parameters on the velocity, temperature, skin friction coefficient, and reduced Nusselt number are illustrated and examined. The results indicate that enlargement in $M$ and $Ω$ decline velocity profile but an opposite trend for temperature. Furthermore, an increment in $R$ and $M e$ results in uphill Nusselt number. The results of the present analysis are compared with the available works in particular situations and more agreement has been observed.

Keywords: Computational mathematics; Mechanics; Thermodynamics.