Effect of modulated boundary on heat and mass transport of Walter-B viscoelastic fluid saturated in porous medium

Abstract

This article depicts the heat and mass transport of the double-diffusive convective flow of Walter-B viscoelastic fluid in highly permeable porous media with an internal heat source. We used weakly nonlinear analysis to quantify the nature of heat and mass transport using the Ginzburg–Landau equation. The Ginzburg–Landau equation has been derived in terms of the amplitude of the stream function. The effect of physical parameters has been examined on Nusselt and Sherwood numbers, which has represented graphically. According to the boundary condition, we have discussed the four scenarios based on the phase angles. Our study has demonstrated that internal heat plays a significant role in heat transfer processes. Furthermore, the elastic parameter leads to a transient augmentation in the heat and mass transfer rate. The main output of the current study is that the highest transport was found when both the modulations were put in out-phase condition (Scenario 1).

Keywords

• walter-b viscoelastic fluid
• internal heat source
• double-diffusive convection
• concentration modulation
• porous medium
• temperature modulation
• ginzburg–landau equation