Natural convection boundary layer flow due to gyrotactic microorganisms about a vertical cone in porous media saturated by a nanofluid

The similarity solution for Darcy free convection about an isothermal vertical cone with fixed apex half angle, pointing downward in a nanofluid saturated porous medium, has been made. It is assumed that the medium contains gyrotactic microorganisms along with nanoparticles and the cone is subjected to concentration of nanoparticles and density of motile microorganisms. The effects of Brownian motion and thermophoresis are incorporated into the model for nanofluids. The governing partial differential equations are converted into nonlinear ordinary differential equations using unique similarity transformations. The effects of the governing parameters on the dimensionless quantities such as velocity, temperature, nanoparticle concentration, density of motile microorganisms, local Nusselt, local Sherwood and local density numbers for both nanoparticles, and motile microorganism density are explored. A comprehensive numerical computation is carried out for various values of the parameters that describe the flow characteristics.