Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium

Nur Fatihah, Mod Omar and Husna Izzati, Osman and Ahmad Qushairi, Mohamad and Rahimah, Jusoh and Zulkhibri, Ismail (2023) Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium. Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium, 29 (2). pp. 185-194. ISSN 2462-1943. (Published)

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Abstract

One of non-Newtonian fluid, Casson fluid, has a diversify application in the manufacturing and engineering sector due to its elasticity behaviour. This study provides the analytical solution of unsteady Casson fluid with the presence of thermal radiation and chemical reaction in a porous medium. Formulation of this fluid model is initiated with the partial differential equation (PDE) of the momentum and energy equations as well as the concentration equation. By applying the proper non-dimensional variables, these equations are then converted into dimensionless form. Subsequently, the derivation of the exact solutions for the concentration, temperature and velocity profiles is conducted with the operation of the Laplace transform method that satisfies both initial and boundary equations. Graphical illustrations, which portray the various effects on this study are generated. It has been revealed that as the thermal radiation, chemical species and porosity increases, so does the velocity profile. However, MHD and Casson parameter shown opposite behaviour in the velocity profiles.

Item Type: Article
Additional Information: Indexed by Scopus
Uncontrolled Keywords: Casson fluid, Laplace transform, thermal radiation, chemical reaction, MHD, porous medium
Subjects: Q Science > QA Mathematics
Faculty/Division: Center for Mathematical Science
Institute of Postgraduate Studies
Depositing User: Dr. Zulkhibri Ismail@Mustofa
Date Deposited: 05 Mar 2024 02:26
Last Modified: 05 Mar 2024 02:26
URI: http://umpir.ump.edu.my/id/eprint/39332
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