Unsteady three-dimensional MHD flow and heat transfer in porous medium suspended with both microorganisms and nanoparticles due to rotating disks

In the present study, the silent characteristics of magnetized mixed convection flow in porous medium suspended with both microorganisms and nanoparticles induced by two expanded or contracted disks are investigated. The Buongiorno's model, in which the Brownian diffusion and thermophoresis are taken as dominant factors, is introduced to describe behaviors of the nanofluid. Multiple slip boundary conditions are also included into this problem. The nonlinear system is converted into five fully coupled nonlinear ordinary differential equations via suitable scaling transformations. The homotopy-based algorithm BVPh2.0 is employed to give their solutions. Physical interpretation is made through analyzing the graphs of different constraints for profiles of velocity, temperature, nanoparticle volume concentration and density of motile organism. Furthermore, we extend this model to seek the physical behaviors of heat transfer and the wall motile microorganism fluxes. Significant findings are presented, including that the wall expansion ratio and the magnetic parameter impose contrary effects on microorganism profiles, the Prandtl number and the radiation parameter play opposite roles on heat transfer rate, and the Brownian motion and the thermophoresis exhibit totally different influence on microorganism flux rate. It is expected that this study is helpful to understand heat transfer mechanism in multiple physical fields.

Automated summary

This study investigates the silent characteristics of magnetized mixed convection flow in a porous medium suspended with microorganisms and nanoparticles induced by two expanded or contracted disks. The research introduces Buongiorno's model and multiple slip boundary conditions to describe the behaviors of the nanofluid. Significant findings include the contrary effects of the wall expansion ratio and magnetic parameter on microorganism profiles, opposite roles of Prandtl number and radiation parameter on heat transfer rate, and different influences of Brownian motion and thermophoresis on microorganism flux rate. It is expected that this study will contribute to understanding heat transfer mechanisms in various physical fields.