Analysis of Energy Flux Vector on Natural Convection Heat Transfer in Porous Wavy-Wall Square Cavity with Partially-Heated Surface

Abstract

The study utilizes the energy-flux-vector method to analyze the heat transfer characteristics of natural convection in a wavy-wall porous square cavity with a partially-heated bottom surface. The effects of the modified Darcy number, modified Rayleigh number, modified Prandtl number, and length of the partially-heated bottom surface on the energy-flux-vector distribution and mean Nusselt number are examined. The results show that when a low modified Darcy number with any value of modified Rayleigh number is given, the recirculation regions are not formed in the energy-flux-vector distribution within the porous cavity. Therefore, a low mean Nusselt number is presented. The recirculation regions do still not form, and thus the mean Nusselt number has a low value when a low modified Darcy number with a high modified Rayleigh number is given. However, when the values of the modified Darcy number and modified Rayleigh number are high, the energy flux vectors generate recirculation regions, and thus a high mean Nusselt number is obtained. In addition, in a convection-dominated region, the mean Nusselt number increases with an increasing modified Prandtl number. Furthermore, as the length of the partially-heated bottom surface lengthens, a higher mean Nusselt number is presented.

Numerical Study of Lid-Driven Hybrid Nanofluid Flow in a Corrugated Porous Cavity in the Presence of Magnetic Field

“… * constant value; remark: if using dimensionless numbers, the ranges are based on common academic proposals in the literature [ 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 ]. …”

“…It has been demonstrated that the heat transmission efficiency may be adjusted by altering the wavy plans. Lin et al [ 34 ] analyzed the influence of various Prandtl number liquids within wavy permeable chambers. They observed that thermal energy transport is higher as the active duration of heating rises.…”

Special Issue on Selected Papers from IEEE ICKII 2019

“…Lin et al, reported "Analysis of Energy Flux Vector on Natural Convection Heat Transfer in Porous Wavy-Wall Square Cavity with Partially-Heated Surface" [7]. This study utilizes the energy-flux-vector method to analyze the heat transfer characteristics of natural convection in a wavy-wall porous square cavity with a partially heated bottom surface.…”

Role of curved walls on efficient thermal convection in porous beds confined within enclosures: heatline and entropy production maps

“…A number of earlier studies do involve analysis with second law of thermodynamics involving entropy generation rates which elucidate the efficacy of process via entropy production minimization approach [introduced by Bejan (1982)]. Earlier works (Bhardwaj and Dalal, 2015; Bhardwaj et al , 2015; Biswal and Basak, 2016; Hussain, 2016; Chamkha and Selimefendigil, 2018; Alsabery et al , 2018; Biswal and Basak, 2017b; Lin and Cho, 2019; Lukose and Basak, 2021; Sheremet et al , 2017; Sheikholeslami et al , 2019) focused on natural convection to analyze entropy production minimization method within enclosures with curved or inclined walls involving porous bed with various porosities.…”