Modeling and theoretical analysis of gyrotactic microorganisms in radiated nanomaterial Williamson fluid with activation energy

Here flow behavior of stratified Williamson nanofluid over porous surface of stretching cylinder is examined. The concept of gyrotactic miscroorganisms is implemented to control the random movement of suspended nanoparticles. Effects of magnetic field is accounted. Further chemical reaction with Arrhenius activation energy is considered for the modeling of concentration equation. Brownian motion and thermophoresis effects are further considered. The flow model is obtained by employing the boundary layer assumptions. Appropriate transformations are used to reduced the dimensional system into non-dimensional ones. NDSolve code in MATHEMATICA software is used to tackle the obtained non-dimensional flow expressions. Behavior of velocity, mass concentration, temperature and motile microorganisms versus involved variables is examined graphically. The engineering curiosity like skin friction coefficient, heat and mass transfer rates (Nusselt and Sherwood numbers) and density number are computed and analyzed. Important observations are highlighted at the end.