Preconditioned Density-Based Algorithm for Conjugate Porous/Fluid/Solid Domains

Zhang, H. J.; Zou, Zhengping; Li, Y.; Ye, J.

doi:10.1080/10407782.2011.588567

Cited by 14 publications

(5 citation statements)

References 35 publications

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“…The heat exchange between the HTF and PCM sides are coupled through the solid wall. The continuity of temperature and heat flux at the interfacial wall surface should be guaranteed, the following boundary relations are adopted [26,27].…”

Section: MMmentioning

confidence: 99%

Thermal Performance of a PCM-Based Thermal Energy Storage with Metal Foam Enhancement

Chen

Xia

et al. 2019

Energies

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The energy transport inside a phase change material (PCM) based thermal energy storage system using metal foam as an enhancement technique is investigated numerically. The paraffin is used as the PCM and water as the heat transfer fluid (HTF). The transient heat transfer during the charging and discharging processes is solved, based on the volume averaged conservation equations. The flow in PCM/foam and HTF/foam composites is modelled by the Forchheimer-extended Darcy equation, while the two-temperature model is employed to account for the local thermal non-equilibrium effect between the foam matrix and fluid phase. The results show that the overall performance is greatly improved by inserting metal foam in both HTF and PCM sides. A nearly 84.9% decrease in the time needed for the total process is found compared with the case of pure PCM, and 40% compared with the case of metal foam insert only in the PCM side. Foam porosity and HTF inlet temperature greatly affect the dynamic heat storage/release process.

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Section: MMmentioning

confidence: 99%

Thermal Performance of a PCM-Based Thermal Energy Storage with Metal Foam Enhancement

Chen

Xia

et al. 2019

Energies

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“…In a clear fluid region, the preconditioning matrix proposed by Weiss and Smith [23] is applied. The preconditioning matrix for a porous domain can be seen in the previous study of Zhang et al [20]. Although it is not the same as that for clear fluid domain, the form of eigenvalues of preconditioned convective flux Jacobian is the same as that for clear fluid domain, which means that the proposed preconditioning matrix for a porous domain could alleviate the stiffness of the governing equations in a porous domain effectively and also solve the convergence problem at low speed.…”

Section: Methodsmentioning

confidence: 89%

“…The central scheme is used for the spatial discretization, with matrix artificial dissipation scheme [24,25], which has smaller numerical dissipation applied. The detailed discretization scheme and numerical procedure can be seen in the previous study of Zhang et al [20].…”

Section: Methodsmentioning

confidence: 99%

“…The previous studies [20,26,27] indicate that the numerical method adopted in this article is suitable for the simulation of the coupled fluid flow and heat transfer problems in hybrid porous=fluid=solid domains. Because the fluid flow and heat transfer problem in a channel with porous=solid ribs is relatively complicated, the present code was further validated against the previous results of Li et al [16].…”

Section: Code Validationmentioning

confidence: 99%

“…The aim of the present work was to investigate the influence of staggered porous ribs on the flow pattern and local heat transfer performance. Recently, a preconditioned density-based algorithm was proposed to solve the conjugate fluid flow and heat transfer problem in hybrid porous=fluid=solid domains, where the fluid types include compressible, incompressible, or fluid with arbitrary specified equation of state [20]. The fluid governing equations are solved on the basis of density-based finite-volume scheme, and the preconditioning matrix for equations of porous domain is presented with an aim to eliminate the equation stiffness of porous seepage flow.…”

Section: Introductionmentioning

confidence: 99%

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Investigations of Heat Transfer Enhancement in a Channel with Staggered Porous Ribs by the Preconditioned Density-Based Algorithm

Zhang

Zou

Shao

et al. 2015

Numerical Heat Transfer, Part A: Applications

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The preconditioned density-based algorithm and two-domain approach were used to investigate the fluid flow and heat transfer characteristics in a channel with staggered porous/solid ribs. In the porous zone, the momentum equations were formulated by the Darcy-BrinkmanForchheimer model; and the local thermal equilibrium (LTE) model was adopted for energy equation. At the porous/fluid interface, the stress-continuity interfacial condition was utilized. The governing equations are solved by the preconditioned density-based control-volume method, with preconditioning matrix for equations of porous domain adopted, aiming to eliminate the equation stiffness of the porous seepage flow. The effects of Reynolds number, geometry parameters of ribs (rib length and thickness), and physical property of porous media (permeability and porosity) on the flow pattern and heat transfer performance were analyzed. Results indicate that, compared with that of solid ribs, the recirculating bubble behind the porous ribs is completely detached from it because of the permeability of porous media, and the size of the recirculating bubble is suppressed. The parameters that would affect the mass flow of fluid penetrating the porous ribs, including permeability, Reynolds number, baffle length and thickness, have remarkable influence on the flow pattern. All the aforementioned parameters would affect the local heat transfer performance.

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