Dynamics of Eyring–Powell Nanofluids When Bioconvection and Lorentz Forces Are Significant: The Case of a Slender Elastic Sheet of Variable Thickness with Porous Medium

Abdul Manan, Saif Ur Rehman, Nageen Fatima, Muhammad Imran, Bagh Ali, Nehad Ali Shah () and Jae Dong Chung
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Abdul Manan: Department of Computer Science and Information Technology, Superior University, Lahore 54000, Pakistan
Saif Ur Rehman: Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
Nageen Fatima: Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
Muhammad Imran: Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
Bagh Ali: Faculty of Computer Science and Information Technology, Superior University, Lahore 54000, Pakistan
Nehad Ali Shah: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
Jae Dong Chung: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea

Mathematics, 2022, vol. 10, issue 17, 1-20

Abstract: We examine thermal management in the heat exchange of compact density nanoentities in crude base liquids. It demands the study of the heat and flow problem with non-uniform physical properties. This study was conceived to analyze magnetohydrodynamic Eyring–Powell nanofluid transformations due to slender sheets with varying thicknesses. Temperature-dependent thermal conductivity and viscosity prevail. Bioconvection due to motivated and dynamic microorganisms for Eyring–Powell fluid flow is a novel aspect herein. The governing PDEs are transmuted into a nonlinear differential structure of coupled ODEs using a series of viable similarity transformations. An efficient code for the Runge–Kutta method is developed in MATLAB script to attain numeric solutions. These findings are also compared to previous research to ensure that current findings are accurate. Computational activities were carried out with a variation in pertinent parameters to perceive physical insights on the quantities of interest. Representative outcomes for velocity, temperature, nanoparticles concentration, and bioconvection distributions as well as the local thermal transport for different inputs of parameters are portrayed in both graphical and tabular forms. The results show that the fluid’s velocity increases with mixed convection parameters due to growing buoyancy effects and the fluid’s temperature also increased with higher Brownian motion N b and thermophoretic N t . The numerical findings might be used to create efficient heat exchangers for increasingly challenging thermo-technical activities in manufacturing, construction, and transportation.

Keywords: nanofluid; Eyring–Powell fluid; bioconvection; MHD; slender elastic surface; porous medium (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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