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

Author

Listed:
  • 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
    Education Department, Vaal University of Technology, Private Bag X021, Vanderbijlpark 1911, South Africa)

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.

Suggested Citation

  • Bernard Ejugu Njor & Ramoshweu Solomon Lebelo & Samuel Olumide Adesanya, 2025. "Irreversibility Analysis of Hydromagnetic Casson Fluid Flow Through an Inclined Channel with Isothermal Boundary Conditions," Mathematics, MDPI, vol. 13(7), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1208-:d:1629391
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    References listed on IDEAS

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    1. Geetika Saini & B. N. Hanumagowda & Hasan Mulki & S. Suresh Kumar Raju & S. V. K. Varma & Kamal Barghout & Nimer Murshid & Wael Al-Kouz, 2023. "Entropy Generation Optimization in Couple Stress Fluid Flow with Variable Viscosity and Aligned Magnetic Field," Sustainability, MDPI, vol. 15(3), pages 1-25, January.
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