Numerical simulation of thermal management during natural convection in a porous triangular cavity containing air and hot obstacles

Chandanam, V; Venkata Lakshmi, C; Venkatadri, K; Beg, OA; Prasad, VR

Abstract

A numerical study is presented of laminar viscous magnetohydrodynamic natural convection
flow in a triangular shaped porous enclosure filled with electrically conducting air and
containing two hot obstacles. The mathematical model is formulated in terms of dimensional
partial differential equations. The pressure gradient term is eliminated by using the vorticitystream (
 − ) function approach. The emerging dimensionless governing equations are
employed by the regular finite difference scheme along with thermofluidic boundary
conditions. The efficiency of the obtained computed results for isotherms and streamlines are
validated via comparison with previously published work. The impact of physical parameters
on streamlines and temperature contours for an extensive range of Rayleigh number (Ra=103
-
105
), Hartmann magnetohydrodynamic number (Ha=5-30), Darcy parameter (Da=0.0001-0.1)
for fixed Prandtl number (Pr = 0.71) are considered. Numerical results are also presented for
local and average Nusselt numbers along the hot base wall. Interesting features of the
thermofluid behaviour are revealed. At lower Rayleigh number the isotherms are generally
parallel to the inclined wall and only distorted substantially near the obstacles at the left vertical
adiabatic wall; however, with increasing Rayleigh number, this distortion is magnified in the
core zone and simultaneously warmer zones expand towards the inclined cold wall. The
simulations are relevant to magnetic materials processing and hybrid magnetic fuel cells.

Citation

Chandanam, V., Venkata Lakshmi, C., Venkatadri, K., Beg, O., & Prasad, V. (2021). Numerical simulation of thermal management during natural convection in a porous triangular cavity containing air and hot obstacles. European Physical Journal Plus, 136(8), 885. https://doi.org/10.1140/epjp/s13360-021-01881-3

• Journal Article Type: Article
• Acceptance Date: Aug 18, 2021
• Publication Date: Aug 27, 2021
• Deposit Date: Aug 20, 2021
• Publicly Available Date: Aug 27, 2022
• Journal: European Physical Journal Plus
• Publisher: EDP Sciences
• Volume: 136
• Issue: 8
• Pages: 885
• DOI: https://doi.org/10.1140/epjp/s13360-021-01881-3
• Publisher URL: https://doi.org/10.1140/epjp/s13360-021-01881-3
• Related Public URLs: https://www.springer.com/journal/13360/
• Additional Information: Access Information : This Accepted Manuscript is subject to Springer's Accepted Manuscript terms of use which permit users to view, print, copy, download and text and data-mine the content, for the purposes of academic research, subject always to the full conditions of use. Under no circumstances may the AM be shared or distributed under a Creative Commons, or other form of open access license, nor may it be reformatted or enhanced.