Marangoni transport of Jeffrey nanofluid due to circular horizontal cylinder with motile microorganisms

Abstract

The concept of macroscopic convection mobility of a fluid induced by a density differential caused by directional collective swimming of microorganisms is known as bioconvection. These motile microorganisms are characterized as oxytactic, gravitactic, gyrotactic, and chemo-tactic on their movements. The horizontal circular cylinder is exploited to transport Jeffrey nanofluids with the repercussions of viscous dissipation and motile microorganisms. Moreover, the Cattaneo-Christov theory and thermal radiation are also assumed. The regulating structure of partial differential equations is renovated into ordinary differential equations (ODEs) incorporating the shooting method with appropriate similarity transformation. For numerical simulation, the attained set of ODEs is cracked through bvp4c built-in mathematical tool MATLAB. The numerical and illustrated fallouts of prominent parameters like bioconvection Lewis number, Lewis number, mixed convective number, Prandtl parameter, Peclet number, thermophoresis parameter and Brownian motion parameter against velocity distribution, temperature gradient, volumetric and motile microorganism concentration. The escalating valuation of velocity slip parameter, bioconvection Rayleigh number and solutal Biot number exaggerated the concentration profile. The intensifying values of bioconvective Lewis, Peclet and Marangoni parameters and fluid parameter the microorganisms profile of nanoparticles. The paper presents a model as well as numerical statistics on the upshot of bioconvection on small solid particle mixing.