Dynamic interaction of stratifications in an unsteady flow with periodic temperature variation and exponential mass diffusion in a porous medium
Himangshu Kumar, Rupam Shankar Nath, Rudra Kanta Deka · International Journal of Ambient Energy · 2024
The objective of the current study is to explore how thermal and mass stratification affect the flow dynamics of an in-compressible, viscous fluid across an impulsively started infinite vertical plate in a porous medium, experiencing periodic temperature variations and exponential mass diffusion. This study introduces several novel aspects by analysing the transient behaviours of an impulsively started infinite vertical plate with periodic temperature variation and exponential mass diffusion in a porous medium, a scenario previously unexplored. The study employs the Laplace transform technique to solve the problem’s governing equations and uses graphic representations to discuss the impact on concentration, temperature, and velocity profiles. Findings indicate that thermal and mass stratification reduce velocity and lead to a steady state. Thermal stratification lowers the fluid’s temperature, whereas increasing mass stratification decreases concentration. In stratified fluids, skin friction stabilises over time, and velocity decreases by approximately 24.96% as stratification parameters change. Furthermore, comparisons with previously published findings also support the current results. This research helps to better understand the dynamics of mass and heat transfer in unstable stratified flows.