Numerical simulation and energy flux vector visualization of radiative-convection heat transfer in a porous triangular enclosure

Venkatadri, K; Beg, OA; Rajarajeswari, P; Prasad, VR; Rao, AS; Khan, MBH

Abstract

A detailed theoretical examination laminar natural convection heat flow in a triangular porous cavity with significant radiative heat transfer and porosity variation is presented. Twodimensional laminar incompressible flow is considered with the left slant and right walls are low and high temperature respectively, and the remaining (top) wall prescribed as adiabatic. The Darcy-Brinkman isotropic model is utilized, and the coupled governing equations are solved by a numerical method utilizing finite differences. Visualization of isotherms and streamlines is achieved with the method of Energy Flux Vectors (EFVs). The impacts of the different model parameters (Rayleigh number Ra, Darcy number-Da, porosity-E and radiation parameter-Rd) on the thermo fluid characteristics are studied in detail. The computations show that convective heat transfer is enhanced with greater Darcy parameter (permeability) which also leads to intensification in the density of energy flux vector patterns. The flow is accelerated with increasing buoyancy effect (Rayleigh number) and temperatures are also increased with greater radiative flux. Average Nusselt number is decreased with higher porosity. The simulations are relevant to hybrid porous media solar collectors.

Citation

Venkatadri, K., Beg, O., Rajarajeswari, P., Prasad, V., Rao, A., & Khan, M. (2020). Numerical simulation and energy flux vector visualization of radiative-convection heat transfer in a porous triangular enclosure. Journal of Porous Media, 23(12), 1187-1199. https://doi.org/10.1615/JPorMedia.2020033653

• Journal Article Type: Article
• Acceptance Date: Oct 22, 2020
• Online Publication Date: Oct 29, 2020
• Publication Date: Oct 29, 2020
• Deposit Date: Oct 23, 2020
• Publicly Available Date: Oct 29, 2021
• Journal: Journal of Porous Media
• Print ISSN: 1091-028X
• Publisher: Begell House
• Volume: 23
• Issue: 12
• Pages: 1187-1199
• DOI: https://doi.org/10.1615/JPorMedia.2020033653
• Publisher URL: https://doi.org/10.1615/JPorMedia.2020033653
• Related Public URLs: http://www.begellhouse.com/journals/49dcde6d4c0809db