The impact of magnetohydrodynamic on bioconvection nanofluid flow with viscous dissipation and joule heating effects

Abstract

Abstract The current research work scrutinizes the bioconvection of nanofluid flow through an expanding sheet containing motile microorganisms with the mutual upshot of heat and mass transmission. Additionally, the convective and slip boundary conditions are also considered. The study is explored under the response of Joule heating, viscous dissipation, and magnetic strength. We used appropriate transformation methods for reducing a set of PDEs to nonlinear ODEs which were further corroborated by the ‘Homotopy Analysis Method’. The assessment is carried out for the numerous values of dissimilar parameters on the velocity and heat transmission profile with the inclusion of the density of motile microorganisms. It has been perceived that the rising trend in the magnetic field reduces the Nusselt number and the velocity near the stretch sheet of the fluid. The motile microorganisms profile displays a lessening behavior for rising values of Peclet number.