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Entropy Generation Optimization in Couple Stress Fluid Flow with Variable Viscosity and Aligned Magnetic Field

Author

Listed:
  • Geetika Saini

    (Department of Mathematics, School of Applied Sciences, REVA University, Bengaluru 560064, Karnataka, India)

  • B. N. Hanumagowda

    (Department of Mathematics, School of Applied Sciences, REVA University, Bengaluru 560064, Karnataka, India)

  • Hasan Mulki

    (College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait)

  • S. Suresh Kumar Raju

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Al Hufuf 31982, Saudi Arabia)

  • S. V. K. Varma

    (Department of Mathematics, School of Applied Sciences, REVA University, Bengaluru 560064, Karnataka, India)

  • Kamal Barghout

    (Department of Mathematics and Natural Sciences, College of Sciences and Human Studies, Prince Mohammad Bin Fahd University, Al Khobar 31952, Saudi Arabia)

  • Nimer Murshid

    (College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait)

  • Wael Al-Kouz

    (College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait)

Abstract

This study explores the influence of an inclined magnetic field and variable viscosity on the entropy generation in steady flow of a couple stress fluid in an inclined channel. The walls of the channel are stationary and non-isothermal. The fluid flow is driven due to pressure gradient and gravitational force. Reynold’s model for temperature-dependent viscosity was used. The dimensionless, non-linear coupled equations of momentum and energy was solved, and we obtained an analytical solution for the velocity and temperature fields. The entropy generation and Bejan number were evaluated. The variation of pertinent parameters on flow quantities was discussed graphically. The rate of volume flow, skin friction coefficient, and Nusselt number at the surfaces of the channel were calculated and their variations were discussed through surface graphs. From the results, it is noticed that the entropy generation rate can be minimized by increasing the magnetic field and the temperature difference parameters. The findings of the current study in some special cases are in precise agreement with the previous investigation.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jsusta:v:15:y:2023:i:3:p:2493-:d:1051634
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    References listed on IDEAS

    as
    1. Adesanya, Samuel O. & Dairo, O.F. & Yusuf, T.A. & Onanaye, A.S. & Arekete, S.A., 2020. "Thermodynamics analysis for a heated gravity-driven hydromagnetic couple stress film with viscous dissipation effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    2. Makinde, O.D., 2008. "Entropy-generation analysis for variable-viscosity channel flow with non-uniform wall temperature," Applied Energy, Elsevier, vol. 85(5), pages 384-393, May.
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    Cited by:

    1. K. M. Pavithra & B. N. Hanumagowda & S. Suresh Kumar Raju & S. V. K. Varma & Nimer Murshid & Hasan Mulki & Wael Al-Kouz, 2023. "Thermal Radiation and Mass Transfer Analysis in an Inclined Channel Flow of a Clear Viscous Fluid and H 2 O/EG-Based Nanofluids through a Porous Medium," Sustainability, MDPI, vol. 15(5), pages 1-24, February.

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