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

Geetika Saini, B. N. Hanumagowda, Hasan Mulki, S. Suresh Kumar Raju, S. V. K. Varma, Kamal Barghout, Nimer Murshid and Wael Al-Kouz ()
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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

Sustainability, 2023, vol. 15, issue 3, 1-25

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.

Keywords: heat transfer efficiency; sustainability; magnetic field; variable viscosity; couple stress fluid; entropy generation; viscous dissipation (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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