HIGHER-ORDER SLIP FLOW OF MAXWELL FLUIDS CONTAINING GYROTACTIC MICROORGANISMS PAST A HORIZONTAL EXTENDING SURFACE: ANALYSIS WITH CONVECTIVE CONDITIONS

Showkat Ahmad Lone, Sadia Anwar, Zehba Raizah, Musawa Yahya Almusawa and Anwar Saeed
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Showkat Ahmad Lone: Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, (Jeddah-M), Riyadh 11673, Kingdom of Saudi Arabia
Sadia Anwar: ��Department of Mathematics, College of Arts and Sciences, Wadi Ad Dawasir (11991), Prince Sattam Bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia
Zehba Raizah: ��Department of Mathematics, College of Science, Abha, King Khalid University, Saudi Arabia
Musawa Yahya Almusawa: �Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia
Anwar Saeed: �Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand

Surface Review and Letters (SRL), 2023, vol. 30, issue 06, 1-14

Abstract: This paper explores the bioconvective Maxwell fluid flow over a horizontal stretching sheet. The Maxwell fluid flow is considered in the presence of gyrotactic microorganisms. The velocity slips and convection conditions are used in this investigation. Additionally, the Cattaneo–Christov heat and mass flux model, Brownian motion, thermophoresis, and activation energy are employed in the flow problem. The model formulation has been transferred to a dimension-free format using similarity variables and solved by the homotopy analysis approach. Figures have been sketched to depict the HAM convergence. The consequences of this study are that the velocity of Maxwell fluid flow reduces for higher Hartmann number, buoyancy ratio factor, and bioconvective Rayleigh number, whereas the increasing behavior in velocity profile is seen against Deborah number. The thermal characteristics of the Maxwell fluid flow diminish with developing values of the thermal relaxation factor and Prandtl number, while augmenting with the increasing Brownian motion, thermal and concentration Biot numbers and thermophoresis factor. The rate of thermal transmission of the Maxwell fluid flow enhances with the increasing Prandtl number, and mixed convective factor, while diminishing with the increasing buoyancy ratio factor, thermophoresis factor and Brownian motion factor.

Keywords: Maxwell fluid flow; magnetohydrodynamic; Cattaneo–Christov flux model; bioconvection; activation energy; HAM (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218625X23500385

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