Modeling and Analysis of MHD Free Convective Thermo-Solutal Transport in Casson Fluid Flow with Radiative Heat Flux

Sowmiya, C; Rushi Kumar, B; Anwar Bég, O; Kuharat, Sireetorn

Abstract

This research paper presents a novel mathematical model aimed at exploring practical applications in oscillating MHD generators and near-wall flows using Casson fluid. The purpose of this study is to develop a mathematical model that specifically addresses MHD free convective thermo-solutal transport within Casson fluid flow over a rotating vertical wall into a permeable medium. This research also considers factors like the Soret effect, radiative heat flux, first-order chemical reactions, and heat source/sink effects. To tackle this complex scenario, we apply the Laplace transform technique (LTT) to handle the transformed partial differential equations and their accompanying boundary conditions. The study investigated both ramped and isothermal wall temperature conditions and evaluated the influence of various parameters, including the Soret number, Hall current parameter, ramped wall temperature, and magnetic body force parameter. The computational analysis is carried out using MATLAB software. The research involves a comprehensive parametric analysis that thoroughly examines the impact of key emerging parameters on generalized velocity, temperature, and species concentration. The results reveal that magnetic, Casson, and rotating parameters all have a diminishing impact on the velocity profiles. The radiation parameter has a positive impact on temperature distribution, while an opposite trend is observed for the Prandtl number. Furthermore, an increase in the Soret number and chemical reaction parameter leads to a decrease in species concentration and solutal boundary layer thickness. The validation process includes comparisons with previous studies. Additionally, this study presents distributions of skin friction, Nusselt number, and Sherwood number. Notably, our findings 1 reveal that a ramped wall temperature results in lower velocity magnitudes compared to the isothermal wall case.

Citation

Sowmiya, C., Rushi Kumar, B., Anwar Bég, O., & Kuharat, S. (2024). Modeling and Analysis of MHD Free Convective Thermo-Solutal Transport in Casson Fluid Flow with Radiative Heat Flux. Journal of Thermal Analysis and Calorimetry, https://doi.org/10.1007/s10973-024-13115-6

• Journal Article Type: Article
• Acceptance Date: Mar 16, 2024
• Online Publication Date: May 29, 2024
• Publication Date: May 29, 2024
• Deposit Date: Jun 1, 2024
• Publicly Available Date: May 30, 2025
• Print ISSN: 1388-6150
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.1007/s10973-024-13115-6
• Keywords: MHD generators; Oscillating flows; Hall current; Casson fluid flow; Soret effect; Laplace Transform approach