MHD nanofluid flow over stretching cylinder with convective boundary conditions and Nield conditions in the presence of gyrotactic swimming microorganism: A biomathematical model

Abstract

Abstract In current mathematical configuration, the self-propelled movement of gyrotactic swimming microorganisms in the generalized slip flow of MHD nanoliquid past a stretching cylinder is discussed. Convective heat transfer is assumed along with Nield conditions on boundary. The formulation of this biomathematical model yields the boundary value problem of nonlinear partial differential equations. First, modelled mathematical system is transferred into non-dimensional form with the aid of suitable scaling variables and then shooting technique (along with Runge-Kutta-Fehlberg (R-K-F) method) is applied to obtain numerical solution of governing system. The computed numerical solutions are presented with figures and tables, and then these results are critically analyzed in both quantitative and qualitative manners.