Numerical analysis for thermal performance of modified Eyring Powell nanofluid flow subject to activation energy and bioconvection dynamic

The purpose of current investigation is to analysis the 2D flow of modified Eyring Powell model under the influence of magnetic field. Aspects of Brownian motion and thermophoresis diffusion for modified Eyring Powell nanofluid model capturing the features of thermal-motile and solutal stratification and thermal radiation are considered. Activation energy phenomenon is also part of discussion. Furthermore, bioconvection is an interesting phenomenon of fluid dynamics that is caused by the rotation of microbes which is also considered here. It is characterized because of hydrodynamics unsteadiness as well as patterns inside suspension of influenced swimming microbes. Here, coupled PDEs is converted into set of ODEs. Moreover, these ODEs are tackled by using bvp4c scheme then compared the results with homtopy analysis technique. Effects of physical parameters are shown pictorially. It is observed that temperature rises for thermophoresis and thermal radiation while decline for Prandtl number. The motile microorganism's showed decrement for increasing values of Peclet number.