A stratified MHD flow of Eyring‐Powell fluid containing gyrotactic microorganisms through a stretching sheet with mixed convection

Author:

Al‐Bossly Afrah1,Alduais Fuad S.1,Lone Showkat Ahmad2,Almusawa Musawa Yahya3ORCID,Saeed Anwar4ORCID

Affiliation:

1. Department of Mathematics College of Science and Humanities in Al‐Kharj Prince Sattam Bin Abdulaziz University Al‐Kharj Saudi Arabia

2. Department of Basic Sciences College of Science and Theoretical Studies Saudi Electronic University Jeddah‐M, Riyadh KSA

3. Department of Mathematics Faculty of Science Jazan University Jazan Saudi Arabia

4. Center of Excellence in Theoretical and Computational Science (TaCS‐CoE) Faculty of Science King Mongkut's University of Technology Thonburi (KMUTT) ThungKhru Bangkok Thailand

Abstract

AbstractThe aim of this effort is to examine the steady, laminar, and incompressible flow of Eyring‐Powell fluid containing gyrotactic microorganisms through a stratified stretching surface. For stabilizing the distributed nanoparticles through bioconvection, which is tempted by magnetic field and buoyancy forces, the microorganisms’ theory is utilized. The nonlinear system of equations is treated with a semi‐analytical approach. Convergence of series solutions of the nonlinear system is displayed. The variations in momentum, concentration, thermal and motility distributions are exhibited graphically. Sherwood number, skin friction, motile density number, and Nusselt number are exhibited numerically in tabular forms. It has been found that the augmenting the thermal stratification, mass stratification, and motile density stratification factors have retarded the thermal, mass, and motile density of the microbes. Heightening Brownian motion, Schmidt number, and mass stratification parameter boost the Sherwood number, while reduces with thermophoresis constraint. The rise in concentration difference factor and Peclet number intensify the motile density number, while the accelerating values of stratification parameter of motile density and bioconvective Lewis number decline the motile density number.

Publisher

Wiley

Subject

Applied Mathematics,Computational Mechanics

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