The Velocity Slip Boundary Condition Effects on Non-Newtonian Ferrofluid over a Stretching Sheet

Author:

Zeb Hussan1ORCID,Wahab Hafiz Abdul1,Khan Umar1,Juhani Amnah S.Al2,Andualem Mulugeta3ORCID,Khan Ilyas4

Affiliation:

1. Department of Mathematics & Statistics, Hazara University, Mansehra 21120, Pakistan

2. Mathematics Department, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia

3. Department of Mathematics, Bonga University, Bonga, Ethiopia

4. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia

Abstract

In this work, radioactive heat transfer analysis in non-Newtonian Ferrofluid over a stretchable sheet is considered. Furthermore, the effects of Arrhenius activation energy, magnetic dipole, velocity slip, and mass convective boundary condition are taken into account. The governing model is transformed into coupled ordinary equations (ODEs) via a similarity transformation. The solution of these resulting ODEs systems are computed by Runge–Kutta method (RK-45). The influence of beneficial physical parameters on momentum, pressure, energy, and concentration profiles are presented. The major finding of this study is the variation of the velocity field is reduced for the higher values of velocity slip parameters A 1 and β 2 and fluid material parameter H . The temperature field increases for higher values of Rd and decreases for Pr . Here we concluded that, the increasing or decreasing of the concentration, temperature, and velocity field for various physical parameters can be seen in the result and discussion section in detail. The physical quantities such as skin friction, Nusselt, and Sherwood numbers are examined.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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