Non-similar analysis of bioconvective stagnation-point flow toward a stretching surface in the presence of buoyancy force, viscous dissipation, and thermal radiation

Abstract

Aim of this analysis is to investigate, bioconvective stagnation flow of an incompressible fluid across an expanding perpendicular surface in the existence of buoyancy force, viscous dissipation, and thermal radiation. The physical model is described in terms of nonlinear coupled partial differential equations (PDEs). The dimensional PDEs are transformed into dimensionless PDEs by using appropriate non-similar transformations. Local nonlinearity method (LNS) is used to generate high accuracy truncated ordinary differential equations (ODEs) that are used to approximate dimensionless PDEs. Using well-known techniques like finite-difference-based bvp4c, the ODEs are numerically formulated. This research also investigates how several physical, nondimensional parameters affect the profiles of velocity, temperature, and concentration, for both assisted and opposed flow cases. The comparison and range tables describe the validity and range of the presented results, respectively. The tabulated results indicate that enhancement in radiation parameter increases the local Nusselt number, Sherwood number, and the surface drag force.