Heat generation and melting heat transfer effects on MHD flow of Carreau fluid in a porous medium

Author:

Adnan Awais1,Muhammad Shakoor1,Zeb Salman2ORCID,Makinde Oluwole Daniel3

Affiliation:

1. Department of Mathematics Abdul Wali Khan University Mardan Pakistan

2. Department of Mathematics University of Malakand Chakdara Khyber Pakhtunkhwa Pakistan

3. Faculty of Military Science Stellenbosch University Stellenbosch South Africa

Abstract

AbstractWe consider heat and mass transfer analysis of magnetohydrodynamic (MHD) Carreau fluid flow along a stretching sheet in a permeable medium with impacts of melting condition, heat generation, double diffusion, and variable thermal conductivity. The novelty of the present work is to study the effects of melting heat transfer and heat generation on MHD flow of Carreau fluid along a stretched sheet in a porous medium with influence of Dufour and Soret effects, and variable thermal conductivity. Similarity transformations procedure is used which transform the partial differential equations (PDEs) of fluid flow model into nonlinear dimensionless ordinary differential equations (ODEs). We obtained numerical solutions of ODEs and the effects of assorted governing parameters are investigated. The results showed that boosting melting parameter increases velocity and concentration fields and reduces temperature profile. Enhancing heat source parameter increases temperature profile, concentration profile observing decline for modified Dufour parameter, Schmidt number, and Soret number, and velocity of the fluid decline for magnetic and porosity parameters. Impact of governing parameters on physical quantities comprising Nusselt number, skin friction, and Sherwood number is evaluated numerically. The accuracy of our results are established in comparison with previous research for skin friction coefficient and Nusselt number.

Publisher

Wiley

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