Nonlinear mixed convective Williamson nanofluid flow with the suspension of gyrotactic microorganisms

This investigation aims to present the thermally developed bioconvection flow of Williamson nanoliquid over an inclined stretching cylinder in presence of linear mixed convection and nonuniform heat source/sink. The activation energy and suspension of gyrotactic microorganisms are accounted with applications of bioconvection phenomenon. Appropriate nondimensional variables are opted to attain the dimensionless form of flow equations. The resulting momentum, energy, concentration and motile density equations are abridged to highly coupled and nonlinear in nature. The numerical treatment is followed for the solution procedure by employing the shooting method. The influence of some relevant dimensionless parameters is discoursed graphically along with physical justifications. Moreover, the impact of several dimensionless parameters on skin friction and Nusselt number is obtained and listed in tables. It is observed that the velocity of fluid shows a decreasing variation for Williamson fluid parameter. The change in unsteadiness parameter and heat source parameter enhanced the nanofluid temperature. The motile microorganisms profile declines with bioconvection constant and bio-convection Lewis number.

Automated summary

This study investigates the thermally developed bioconvection flow of Williamson nanoliquid over an inclined stretching cylinder, considering linear mixed convection and nonuniform heat source/sink. The activation energy and suspension of gyrotactic microorganisms are accounted for the bioconvection phenomenon. The results demonstrate that the fluid velocity decreases with the Williamson fluid parameter, while changes in the unsteadiness parameter and heat source parameter enhance the nanofluid temperature. The profile of motile microorganisms decreases with the bioconvection constant and bio-convection Lewis number.