Darcy Forchheimer Casson Nanofluid Flow Over a Stretching Cylinder With Arrhenius Activation Energy and Gyrotactic Microorganisms

Abstract

A mathematical model is investigated to scrutinize the Darcy Forchheimer Casson Nanofluid flow over a stretching cylinder with convective heat and mass conditions. The heat and mass transfer phenomena are visualized in the presence of activation energy and gyrotactic microorganisms. Fluid is electrically conducted in the attendance of applied magnetic field. Appropriate transformations procedure is implemented for the transition of partial differential equations to ordinary one and then computer software-based MATLAB function bvp4c is implemented to handle the envisioned mathematical model. The deliberation of numerous parameters versus the velocity, heat and mass transfer and density of gyrotactic microorganisms are portrayed through graphs. It is witnessed that velocity of the fluid is decreased for increasing values of porosity number and the increasing value of activation energy enhances the concentration. Furthermore the microorganisms profile dwindles for increasing estimates of Peclet number. Local Nusselt number, Local Sherwood number and density number of motile microorganisms are evaluated via tables. An outstanding matching is obtained when the results obtained in the current analysis are compared with an established result in the literature.