Impact of titling angle and density extremum on transient convection in a porous chamber with sinusoidal heating

Abstract

The aim of the present study is to investigate numerically the 2D unsteady transient convection of cold water near its highest density value in an inclined square porous enclosed space. The horizontal walls are kept in adiabatic condition. The temperature of left sidewall varies in sinusoidal manner whereas the opposing right sidewall is sustained with constant lower temperature. The range of angle of inclination is considered from 0° to 90°. The finite volume method (FVM) was applied to portray all mathematical equations. The special outcome of inclination angle, Darcy number, maximum density parameter and porosity are obtained in the present study with the use of Brinkmann–Forchheimer extended Darcy model. The change in the angle of inclination is noteworthy in the structure and direction of the flow of the fluid. The bicellular structure of the fluid is identified because of the density inversion effect. Increasing Darcy number and porosity values enhance the average rate of energy transport across the chamber. The lowest heat transfer is noticed for due to supreme density effect. Here the energy transfer from one cell to another cell is by conduction mode due to the existence of dual cell structure.