Bioconvection through interaction of Lorentz force and gyrotactic microorganisms in transverse transportation of rheological fluid

Abstract

Bio-suspensions have been engaged in bio-reactors, bio-petroleum energies, particular drug release, contrast enrichment for magnetic resonance imaging, removal of tumours, synergistic effects in immunology and many more. Bioconvection is created by collective swimming of motile microorganism; these self-propelled motile microorganisms increase the density of base fluid. This article scrutinizes transverse bioconvective flow of Casson magnetic nanofluid with partial slip and role of Newtonian heating. Considering appropriate scaling conversions-governed problem is altered into a set of coupled nonlinear ordinary differential equations and solved via Keller box algorithm. Graphs are plotted for different pertinent physical parameters to analyse behaviour of fluid and heat transfer properties. It is noted that volume fraction of gyrotactic microorganism declines against Prandtl number Pr, bioconvection Lewis number Lb, Peclet number Pe and bioconvection constant σ. Moreover, density of the motile microorganisms rises for bioconvection Peclet number Pe and bioconvection Lewis number Lb. For bioconvection constant, density of motile microorganism rises in free stream and boundary layer density decreases so volume fraction of gyrotactic microorganism also shrinkages.