Role of suction/injection on free convective flow in a vertical porous channel with non-Fourier effects in the presence of periodic boundary

Abstract

The key attention of this work is on the impact of suction/injection on the free convective flow of a viscous fluid passing between two infinite, parallel, vertical and porous plates with non-Fourier effects. The analysis focuses on a porous channel with boundaries featuring a steady–periodic temperature regime. The governing equations, representing velocity(momentum) and temperature(energy) fields, are well-stated in dimensional form. Employing a separation technique, the momentum and energy equations are separated into steady and periodic components. On solving, the resulting second-order ordinary differential equations derived, revealed the expressions for velocity and temperature in dimensionless form. However, the study investigates the influence of various flow parameters used in this work, including suction/injection $\left(s\right)$, heat source/sink $\left(H\right)$, Strouhal number $\left(\mathrm{St}\right)$, Prandtl number $\left(Pr\right)$, and dimensionless relaxation time $\left(\gamma \right)$, on the velocity and temperature distributions. Also not left out is the rate of heat transfer on the flow performance and the skin-friction coefficient on the plates. The findings are visualized using MATLAB-generated graphs. An interesting observation found during the course of investigation in that the introduction of suction/injection enhances the flow velocity and fluid temperature within the channel, and they are both seen as declining functions of the Strouhal number, which measures the frequency of periodic heating on the plates. Furthermore, when the suction/injection parameter(s) is being relaxed, this study demonstrates a strong agreement with the findings of Ajibade and Mukhtar.