Analytical and numerical computations for bioconvective flow Maxwell nanofluid with variable thermal properties using homotopy analysis method and finite difference scheme.

This continuation presents analytical and numerical simulations for unsteady laminar flow of Maxwell nanofluid subject to decomposition of microbes driven by a porous stretching surface. The fluctuation in mass and heat transmission is proceeded with variable assumptions of thermal conductivity and mass diffusivity. Moreover, the heat source and activation energy applications are taken into focused. The stretching surface also periodically accelerates with uniform magnitude. Based on stated assumptions, the problem is modeled in set of partial differential equations (PDE's). Such PDE's are solved with implementation of analytical and numerical schemes. The analytical computations are proceeded with help of homotopy analysis method (HAM) while numerical treatment is governed by finite difference method (FDM). A comparative inspection of both HAM and FDM simulations are performed. It is examined that upon increasing the iterations of HAM, an excellent accuracy is noted with numerical scheme. Moreover, physical aspects of flow parameters are visualized and studied exclusively. The heat transfer increases due to Deborah constant and porosity parameter. The consideration of variable thermal conductivity and mass diffusivity enhances the heat and mass transfer phenomenon.