Bioconvective flow analysis of non-Newtonian fluid over a porous curved stretching surface

Abstract

The aim of current investigation is to explore the two-dimensional Darcy flow of second grade fluid with homogenous and heterogeneous reactions toward a porous curved stretching surface. The thermal features the bioconvective flow are observed with the impact of joule heating, nonlinear thermal radiation, and non-uniform heat source/sink. The thermal stratification conditions are imposed on the boundary of the surface with magnetic field which is normal to surface. Flow model momentum and energy equations are converted into the system of nonlinear ordinary differential equations with some appropriative transformation. These nonlinear equations are tackled numerically with the utilization of Bvp4c approach. The graphical and tabulated results are obtained and discussed thoroughly. It is noticed that for the larger Darcy-Forchheimer number F, porosity parameter [Formula: see text], and Hartman number M, the fluid velocity decreases, while curvature parameter [Formula: see text] exhibits the reverse trend on the velocity field. Further, increment in the fluid temperature is observed by the escalation of the Hartman number M and Eckert number Ec, because more resistance produces larger energy in the fluid. This research contributes to understanding the complex interplay of parameters governing fluid dynamics and thermal behavior near porous curved surfaces, shedding light on the impact of various factors on velocity and temperature distributions.