Abstract
A new system of equations is developed using Galerkin finite element scheme for the investigation of the generation of entropy in viscoelastic Sisko nanofluid over a cylinder. The analysis is performed in the existence of nanofluid and motile microorganisms. The magneto-hydrodynamic flow including the inclined magnetic field is considered. Fluxes for heat, mass, the concentration of nano-sized particles and concentration of swimming microorganisms are computed and scrutinized. Solutions are obtained in order to inspect the generation of entropy and Bejan number in addition to their contours. The outcomes exposed that the parameter of entropy generation and Bejan number both decrease with escalating microorganisms concentration difference parameter. Streamlines, contour plots and density plots are also discussed in detail to explore the pertinent features of the flow field.