Influence of Ohmic heating and thermal radiation on chemically reactive pulsatile flow of Casson nanofluid in a vertical porous channel embedded in non-Darcy porous medium

Abstract

The present study examines the effects of the pulsatory flow of Casson nanofluid using Buongiorno's model in a vertical channel. On the left wall, fluid is injected with some velocity and removed at the opposite wall at the same rate. The solutions for velocity, temperature, nanoparticle concentration, heat, and mass transfer rates are calculated using the Runge-Kutta 4^th order approach along with the Shooting method. The impact of different parameters, including thermophoresis, chemical reaction, Lewis number, and heat source or sink parameter, are illustrated graphically. The results show that the Brownian motion parameter increases the temperature profile, while the chemical reaction parameter decreases the concentration profile. Further, a tabular representation of the steady and unsteady heat and mass transfer rates at the left wall is provided. The higher values of the chemical reaction parameter result in an increase in both the steady and unsteady Sherwood number distributions.