Swimming of motile gyrotactic microorganisms and suspension of nanoparticles in a rheological Jeffery fluid with Newtonian heating along elastic surface

Abstract

Bioconvection plays an inevitable role in introducing sustainable and environment-friendly fuel cell technologies. Bio-mathematical modelling of such designs needs continuous refinements to achieve strong agreements in experimental and computational results. Actually, microorganisms transport a miscellaneous palette of ingredients in manufacturing industrial goods particularly in fertilizer industries. Heat transfer characteristics of molecular structure are measured by a physical phenomenon which is allied with the transpiration of heat within matter. Motivated by bio-inspired fuel cells involved in near-surface flow phenomena, in the present article, we examine the transverse swimming of motile gyrotactic microorganisms numerically in a rheological Jeffery fluid near a stretching wall. The leading physical model is converted in a nonlinear system of ODEs through proper similarity alterations. A numerical technique called shooting method with R-K Fehlberg is applied via mathematical software and graphical presentations are obtained. The influence of all relative physical constraints on velocity, temperature, concentration, and volume fraction of gyrotactic microorganisms is expressed geometrically. It is found that heat and mass flux at the surface as well as density of motile microorganism’s declines for Brownian motion and thermophoresis parameter. Comparison in tabular form is made with existing literature to validate the results for limiting cases with convective boundary conditions.

Keywords

oblique stagnation point flow / Jeffery fluid / bioconvection / swimming of motile gyrotactic / nanoparticles

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