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- Title
Conjugate local thermal nonequilibrium and non‐Darcy flow inside porous enclosure: Analysis of localized heating and cooling arrangements.
- Authors
Alomar, Omar Rafae; Basher, Noor Moneer; Yousif, Anwar Ahmed; Yousif, Qais Abid
- Abstract
This study covers a simulation on conjugate free convective in a porous enclosure containing a side wall thickness and partially heated and cooled from sides under the considerations of local thermal nonequilibrium (LTNE) and non‐Darcy flow. Interest has been focused on how the side wall thickness and the locations of cooled and heated parts affect the effectiveness of the Nusselt number (Nu). Three different cases of localized heating and cooling locations have been implemented for the following ranges: scaled heat transfer coefficient (0.1≤H≤100 $0.1\le H\le 100$), wall to fluid thermal conductivity ratio (0.1≤Rk≤100 $0.1{\le R}_{k}\le 100$), modified Rayleigh number (200≤Ra*≤1000 $200\le {Ra}* \le 1000$), wall width (0.1≤Zˆ≤0.5 $0.1\le \hat{Z}\le 0.5$), inertial parameter (10−4≤Fs/Pr*≤10−2 ${10}^{-4}{\le F}_{s}/{P}_{r}^{* }\le {10}^{-2}$), and thermal conductivity ratio (0.1≤Kr≤100 $0.1\le {K}_{r}\le 100$). Outcomes show that Zˆ $\hat{Z}$ and the locations of cooled and heated parts have remarkable impacts on all the Nusselt numbers. The intensity of LTNE region considerably relies on Ra* ${Ra}{* }$, Kr ${K}_{r}$ and H $H$. The total average NuT is highly dependent on Rk ${R}_{k}$, Ra* ${Ra}{* }$, Zˆ $\hat{Z}$, Fs/Pr* ${F}_{s}/{P}_{r}^{* }$, and Kr ${K}_{r}$ as compared to H. The increase in Zˆ $\hat{Z}$ leads to change of the convective mechanism to conductive mode. The rise in Rk ${R}_{k}$ guides to increase Nu, where Rk ${R}_{k}$ can control the flow strength. The actions of Fs/Pr* ${F}_{s}/{P}_{r}^{* }$ on Nuf is more evident than Nus. For low H and Kr, the size of LTNE zone is considerably affected by H as compared to Kr although Kr has a high influence on Nu. For high Kr and H, the LTNE zone has closely vanished. Findings display that the Case 2 provided the highest Nu for all tested parameters except the case of Kr=0.1 ${K}_{r}=0.1$. Finally, it is evident that for the problems that employed solid conduction wall with localized heating and cooling sections, Case 2 is recommended for future use in the applications that implement a porous medium and depend on free convection.
- Subjects
NONEQUILIBRIUM flow; NUSSELT number; FREE convection; HEAT transfer coefficient; RAYLEIGH number; NATURAL heat convection; THERMAL conductivity
- Publication
Heat Transfer, 2023, Vol 52, Issue 8, p5184
- ISSN
2688-4534
- Publication type
Article
- DOI
10.1002/htj.22923