Chemically reactive nonlinear radiative Eyring–Powell nanofluid flow over thin cylinder under the influence of buoyancy forces with stagnation point

This study investigates the chemically reactive nonlinear radiative Eyring–Powell flow of nanofluids over a thin cylinder under the influence of buoyancy forces with stagnation point. The analysis incorporates the Eyring–Powell fluid model into the momentum equation to capture the viscoelastic behaviour of the nanofluid flow over an extended cylinder. The governing equations account for Brownian motion, thermophoresis effects, velocity, and thermal radiation. Dissipation and Joule heating are included to characterize the heat transfer process. For stability of problem, the theory of motile micro-organism is implemented. Further, the assumptions of buoyancy forces, mixed convection, and thermophoresis with multiple slips make the problem more interested. Similarity variables are utilized to alter the PDEs of flow model into ODEs. The reduced models of the flow problem are achieved by applying MATLAB bvp4c command. The influence of involving parameters like buoyancy ratio, Eyring–Powell parameters, Lewis number, thermophoresis, radiation parameter, Prandtl number, and chemical reaction on velocity, rotation, volumetric concentration, temperature, and density profiles is dissected via tables and graphs. The study involves two cases when \(M, K=0\) and \(M, K=0.3\) to describe fluid, accounting for both viscous and inertial effects. It is seen that thermal radiation and Prandtl number help to deteriorate heat transfer. Both the directions of fluid motion has quicken when mounting the quantity of Eyring–Powell parameter and it raises the temperature profile.