MHD Natural Convection Flow of Casson Ferrofluid at Lower Stagnation Point on a Horizontal Circular Cylinder

Muhammad Khairul Anuar  Mohamed; Huei Ruey  Ong; Siti Khuzaimah  Soid; Hamzeh Taha  Alkasasbeh

doi:10.37934/arnht.25.1.2536

Authors

Muhammad Khairul Anuar Mohamed Centre for Mathematical Sciences, University Malaysia Pahang Al-Sultan Abdullah, Lebuh Persiaran Tun Khalil Yaakob, 26300 Kuantan, Malaysia
Huei Ruey Ong Faculty of Engineering Technology, DRB-HICOM University of Automotive Malaysia, Peramu Jaya Industrial Area, 26607 Pekan, Malaysia
Siti Khuzaimah Soid School of Mathematical Sciences, College of Computing, Informatics, and Mathematics, Universiti Teknologi MARA, Malaysia
Hamzeh Taha Alkasasbeh Department of Mathematics, Faculty of Science, Ajloun National University, P.O. Box 43, Ajloun 26810, Jordan

DOI:

https://doi.org/10.37934/arnht.25.1.2536

Keywords:

Casson, Ferrofluid, HHorizontal circular cylinder, Keller-box, Stagnation

Abstract

This study considers the mathematical model of MHD free convection flow on horizontal circular cylinder immersed in Casson ferrofluid, specific to stagnation region. The set of non-linear partial differential equations that governed the model is first transformed to a simpler set of equations using the non-similar transformation. This set of equations then reduced to ordinary partial equations which reflects to the case of stagnation region and solved numerically using the implicit finite difference method known as the Keller-box method. Blood and magnetite are taken as the based-fluid and the ferroparticles for the Casson ferrofluid, respectively. From the numerical study, it was found that the Newtonian ferrofluid with the same Prandtl values had lower thermal and velocity boundary layer thicknesses compared to a Casson ferrofluid. The increase of Casson parameter reduced the thermal boundary layer thickness which physically enhanced the Nusselt number.

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Author Biographies

Muhammad Khairul Anuar Mohamed, Centre for Mathematical Sciences, University Malaysia Pahang Al-Sultan Abdullah, Lebuh Persiaran Tun Khalil Yaakob, 26300 Kuantan, Malaysia

mkhairulanuar@umpsa.edu.my

Huei Ruey Ong, Faculty of Engineering Technology, DRB-HICOM University of Automotive Malaysia, Peramu Jaya Industrial Area, 26607 Pekan, Malaysia

hueiruey@dhu.edu.my

Siti Khuzaimah Soid, School of Mathematical Sciences, College of Computing, Informatics, and Mathematics, Universiti Teknologi MARA, Malaysia

khuzaimah@tmsk.uitm.edu.my

Hamzeh Taha Alkasasbeh, Department of Mathematics, Faculty of Science, Ajloun National University, P.O. Box 43, Ajloun 26810, Jordan

hamzahtahak@yahoo.com

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