Transient conjugate free convection from a vertical flat plate in a porous medium subjected to a sudden change in surface heat flux

TL;DR

This paper provides a theoretical analysis of the transient free convection heat transfer from a vertical flat plate in a porous medium following a sudden change in surface heat flux, considering finite and zero thickness plates.

Contribution

It introduces a theoretical model using the Karman-Pohlhausen method to analyze unsteady heat transfer in porous media with different plate thicknesses.

Findings

Interface temperature evolution over time and space

Differences between finite and zero thickness plates

Insights into transient heat transfer dynamics

Abstract

The paper presents a theoretical study using the Karman-Pohlhausen method for describing the transient heat exchange between the boundary-layer free convection and a vertical flat plate embedded in a porous medium. The unsteady behavior is developed after the generation of an impulsive heat flux step at the right-hand side of the plate. Two cases are considered according to whether the plate has a finite thickness or no thickness. The time and space evolution of the interface temperature is evidenced.