Heat and mass transfer in MHD non-Newtonian bio-convection flow over a rotating cone/plate with cross diffusion

•Non-Newtonian bio-convection flow over a rotating cone/plate.•Magnetic field, Soret and Dufour effects are taken into account.•Heat and mass transfer in the presence of gyrotactic microorganisms was studied.•Heat and mass transfer rate in the flow over a rotating cone is higher than the flow over a rotating plate.

Numerical investigation is carried out to analyze the flow, heat and mass transfer characteristics of gyrotactic microorganisms contained magneto hydrodynamic Casson fluid flow towards a vertical rotating cone/plate in porous medium. In the presence of thermo diffusion and diffusion thermo effects we have presented dual solutions for the flow over a rotating cone and a rotating flat plate. Further, the numerical solutions are elucidated by using Runge-Kutta-Felhberg integration Scheme. Obtained results are validated with open literature and found an excellent agreement. The influence of non-dimensional governing parameters on velocity, temperature, concentration and density of the motile microorganisms along with the friction factor, local Nusselt, Sherwood numbers and the local density of the motile microorganisms was determined and discussed with the help of graphs and tables. Results proved that there is a significant variation of heat and mass transfer in the flow over a rotating cone and a plate. It is also found that the heat and mass transfer performance of the flow over a rotating cone is significantly high while compared with the flow over a rotating plate.