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ARTICLE

Unsteady MHD Casson Nanofluid Flow Past an Exponentially Accelerated Vertical Plate: An Analytical Strategy

T. Aghalya, R. Tamizharasi^*

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamilnadu, 632014, India

* Corresponding Author: R. Tamizharasi. Email:

(This article belongs to the Special Issue: Numerical Modeling and Simulations on Non-Newtonian Flow Problems)

Computer Modeling in Engineering & Sciences 2024, 140(1), 431-460. https://doi.org/10.32604/cmes.2024.046635

Received 09 October 2023; Accepted 09 January 2024; Issue published 16 April 2024

Abstract

In this study, the characteristics of heat transfer on an unsteady magnetohydrodynamic (MHD) Casson nanofluid over an exponentially accelerated vertical porous plate with rotating effects were investigated. The flow was driven by the combined effects of the magnetic field, heat radiation, heat source/sink and chemical reaction. Copper oxide () and titanium oxide () are acknowledged as nanoparticle materials. The nondimensional governing equations were subjected to the Laplace transformation technique to derive closed-form solutions. Graphical representations are provided to analyze how changes in physical parameters, such as the magnetic field, heat radiation, heat source/sink and chemical reaction, affect the velocity, temperature and concentration profiles. The computed values of skin friction, heat and mass transfer rates at the surface were tabulated for various sets of input parameters. It is perceived that there is a drop in temperature due to the rise in the heat source/sink and the Prandtl number. It should be noted that a boost in the thermal radiation parameter prompts an increase in temperature. An increase in the Prandtl number, heat source/sink parameter, time and a decrease in the thermal radiation parameter result in an increase in the Nusselt number. The computed values of the skin friction, heat and mass transfer rates at the surface were tabulated for various values of the flow parameters. The present results were compared with those of previously published studies and were found to be in excellent agreement. This research has practical applications in areas such as drug delivery, thermal medicine and cancer treatment.

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