Numerical investigation on Williamson nanoflow past a cylinder imbedded in an absorbent media with energy source/sink: Keller Box simulation

Abstract

This article investigates the nanoflow with base fluid as Williamson along a circular cylinder incorporating non-linear energy generation/absorption embedded in a porous media. The obeying boundary layer balances for flow field, energy and diffusion transfer are modelled under Boussinesq’s approximation. Dimensional partial differential equations (PDEs) are converted to dimensionless PDEs by adaptable non-similar variables. Obtained PDEs are handled by Thomas algorithm of solving partial differential equations. It is finite difference method usually named as Keller box method (KBM). Varied fluid parameters like Williamson, porous, radiation, heat source/sink, buoyancy ratio and inertial force parameter characteristics on the flow field are graphically illustrated. Additionally, shear friction, heat and mass transfer rate are estimated for the flow control parameters. Stream wise velocity improves, the skin friction coefficient decreases. As non-uniform heat generation parameter improves, the energy transfer rate and friction factor increase since more heat transfer from the wall is absorbed by the fluid. Concentration rate near the cylinder wall decreases as energy producing is more in the fluid.