Numerical solutions of nanofluid bioconvection due to gyrotactic microorganisms along a vertical wavy cone

Abstract

An analysis is performed to study the bioconvection flow with heat and mass transfer of nanofluid containing gyrotactic microorganisms along a vertical wavy cone. The model includes equations expressing conservation of mass, momentum, thermal energy, nanoparticles and microorganisms. Primitive variable formulations (PVF) are used to transform the dimensionless boundary layer equations into a convenient coordinate system. The equations obtained from PVF are integrated numerically via an implicit finite difference iterative scheme. The effect of the controlling parameters on the dimensionless quantities such as local Nusselt number, local Sherwood number and local density number of motile microorganisms are explored. The numerical results show that the amplitude of the wavy surface of the cone and half cone angle has pronounced effect on the heat transfer coefficient, mass transfer coefficient and density number of the microorganisms coefficient.