Irreversibility Analysis of Hydromagnetic Casson Fluid Flow Through an Inclined Channel with Isothermal Boundary Conditions

Bernard Ejugu Njor (), Ramoshweu Solomon Lebelo and Samuel Olumide Adesanya
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Bernard Ejugu Njor: Department of Mathematics and Statistics, Redeemer’s University, Ede 232101, Nigeria
Ramoshweu Solomon Lebelo: Applied Physical Sciences Department, Vaal University of Technology, Private Bag X021, Vanderbijlpark 1911, South Africa
Samuel Olumide Adesanya: Department of Mathematics and Statistics, Redeemer’s University, Ede 232101, Nigeria

Mathematics, 2025, vol. 13, issue 7, 1-13

Abstract: Fluid flow along an inclined channel phenomenon is crucial in several geophysical, environmental, engineering, biological, and industrial processes, and in aerodynamics and hemodynamics. This present study examines the effect of a constant magnetic field on the entropy production rate in a steady flow of Casson fluid along an inclined heated channel. The governing equations for the flow of velocity, temperature, and entropy generation are formulated based on the Casson constitutive relations and thermodynamics’ first and second laws. The exact solutions are constructed for the dimensionless equations and validated with previous results in the literature. The effects of various fluid parameters on the flow, heat transfer, and entropy production rate are conducted and reported graphically with adequate discussion. The impact of the Hartmann number parameter reveals a decrease in both flow velocity and entropy generation rate, meanwhile it also enhances the fluid temperature distribution across the inclined channel. An opposite trend is, however, observed with the Casson fluid parameter.

Keywords: hydromagnetic; inclined channel; entropy generation; Casson fluid (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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