Influence of the thermal radiation on the bioconvection of gyrotactic microorganism contains nanofluid

Abstract

Microorganisms play a vital role to understand the ecological system and so it is very important to understand the behavior of microorganism due to different parameters. In the present paper, we implement a mathematical model to understand the influence of the thermal radiation on the gyrotactic microorganism imbedded in water based nanofluid flow over a wedge. The Brownian motion and thermoforetic effects take place due to nanofluid. The governing equations based on the conservation of mass, momentum, energy, nanoparticle concentration and concentration of gyrotactic micro-organism are simplified to a set of coupled, non-linear ordinary differential equations using the similarity transformations. The transformed equations are then solved comfortably using a numerical method namely fourth order Runge-Kutta method. The numerical results accomplished in the present investigation are validated and are in good agreement with the prevously published results of some noteworthy researchers found in literature. The important outcomes of the present study is that the skin friction and local Nusselt number are enhanced during the suction while the local Sherwood number and local density of motile microorganism decrease due to suction. Thermal radiation reduces the heat transfer rate near the surface, while it increases the skin friction, concentration of the nanoparticle and concentration of the gyrotactic microorganism near the surface.