Cross diffusion effects on combined bioconvection of nanofluid in a flat channel along with microorganisms

This paper investigates the cross diffusion effects on fully developed mixed bioconvection of gyrotactic microorganisms through horizontal channel filled with nanoliquid under the influence of Soret and Dufour effects. The governing nonlinear partial differential equations are converted into set of nonlinear ordinary differential equations using appropriate similarity variables. The equations together with the boundary conditions are solved by using homotopy analysis method (HAM). The effects of thermophoresis, Brownian motion, Soret and Dufour parameters on mass and heat transfer are analysed graphically. It was found that Soret and Dufour effects was highly influenced in the temperature and the movement of microorganisms.