Melting process in porous media around two hot cylinders: Numerical study using the lattice Boltzmann method

Jourabian, Mahmoud; Darzi, A. Ali Rabienataj; Toghraie, Davood; Akbari, Omid Ali

doi:10.1016/j.physa.2018.06.011

Cited by 109 publications

(16 citation statements)

References 72 publications

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“…In the TLBM framework, the BCs for velocity and temperature pertain to the microscopic distribution functions f i and g i after the streaming process. In this work, the bounce-back boundary scheme proposed by Ladd [44] was selected to get the no-slip velocity conditions at the upper and lower walls [16]. However, at the channel inlet, the Dirichlet condition is adopted to obtain the unknown velocities [45,46], while at the channel exit, the conditions commonly mentioned in the literature were used [47].…”

Section: The Last Termmentioning

confidence: 99%

“…In this context, the characterization of flow, heat, and mass transfers at the pore level in porous structures and the effect of the insert in composite material through key parameters such as porosity were explored first. Likewise, increasingly, the approach with dual (or even triple) distribution functions [14,16,17] has been adopted for the different media involved. By adding additional terms to reflect the porous medium existence, PCM, and the transport phenomena involved, TLBM has been shown to be able to deal with such problems.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Investigation of Metal Foam Pore Density Effect on Sensible and Latent Heats Storage through an Enthalpy-Based REV-Scale Lattice Boltzmann Method

2021

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In this work, an unsteady forced convection heat transfer in an open-ended channel incorporating a porous medium filled either with a phase change material (PCM; case 1) or with water (case 2) has been studied using a thermal lattice Boltzmann method (TLBM) at the representative elementary volume (REV) scale. The set of governing equations includes the dimensionless generalized Navier–Stokes equations and the two energy model transport equations based on local thermal non-equilibrium (LTNE). The enthalpy-based method is employed to cope with the phase change process. The pores per inch density (10≤PPI≤60) effects of the metal foam on the storage of sensible and latent heat were studied during charging/discharging processes at two Reynolds numbers (Re) of 200 and 400. The significant outcomes are discussed for the dynamic and thermal fields, the entropy generation rate (Ns), the LTNE intensity, and the energy and exergy efficiencies under the influence of Re. It can be stated that increasing the PPI improves the energy and exergy efficiencies of the latent heat model, reduces energy losses, and improves the stored energy quality. Likewise, at a moderate Re (=200), a low PPI (=10) would be suitable to reduce the system irreversibility during the charging period, while a high value (PPI = 60) might be advised for the discharging process. As becomes clear from the obtained findings, PPI and porosity are relevant factors. In conclusion, this paper further provides a first analysis of entropy generation during forced convection to improve the energy efficiency of various renewable energy systems.

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Section: The Last Termmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Metal Foam Pore Density Effect on Sensible and Latent Heats Storage through an Enthalpy-Based REV-Scale Lattice Boltzmann Method

2021

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“…They showed that the storage energy is optimal for a critical Reynolds number in the range examined. At the REV scale, Jourabian et al [24] also numerically studied the fusion cycle in a porous rectangular cavity including two hot cylinders using an enthalpy-based LBM with double distribution functions (DDF). They showed that porosity diminution leads to a complete decrease in melting time and system thermal storage capacity.…”

Section: Introductionmentioning

confidence: 99%

Insight into Foam Pore Effect on Phase Change Process in a Plane Channel under Forced Convection Using the Thermal Lattice Boltzmann Method

et al. 2020

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In this work, the two-dimensional laminar flow and the heat transfer in an open-ended rectangular porous channel (metal foam) including a phase change material (PCM; paraffin) under forced convection were numerically investigated. To gain further insight into the foam pore effect on charging/discharging processes, the Darcy–Brinkmann–Forchheimer (DBF) unsteady flow model and that with two temperature equations based on the local thermal non-equilibrium (LTNE) were solved at the representative elementary volume (REV) scale. The enthalpy-based thermal lattice Boltzmann method (TLBM) with triple distribution function (TDF) was employed at the REV scale to perform simulations for different porosities (0.7≤ε≤0.9) and pore per inch (PPI) density (10≤PPI≤60) at Reynolds numbers (Re) of 200 and 400. It turned out that increasing Re with high porosity and PPI (0.9 and 60) speeds up the melting process, while, at low PPI and porosity (10 and 0.7), the complete melting time increases. In addition, during the charging process, increasing the PPI with a small porosity (0.7) weakens the forced convection in the first two-thirds of the channel. However, the increase in PPI with large porosity and high Re number limits the forced convection while improving the heat transfer. To sum up, the study findings clearly evidence the foam pore effect on the phase change process under unsteady forced convection in a PCM-saturated porous channel under local thermal non-equilibrium (LTNE).

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“…Mirzaeyan et al 20 performed a numerical study on the heat transfer of nanofluids between concentric horizontal cylinders filled with the porous medium. Jourabian et al 21 conducted lattice Boltzmann method‐based numerical study of instantaneous melting of ice raised inside a rectangular region with two hot circular cylinders embedded by the porous medium. Barnoon et al 22 studied the heat transfer analysis in Al 2 O 3 + CMC nanofluid (non‐Newtonian) inside a circular porous annulus region.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of convective heat transport in a porous semi‐trapezoidal enclosure with radiation effect

Fazuruddin

Sreekanth²,

Raju

2020

Heat Trans

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A theoretical and numerical study of natural convection of two‐dimensional laminar incompressible flow in a semi‐trapezoidal porous enclosure in the presence of thermal radiation is conducted. The semi‐trapezoidal enclosure has an inclined left wall that in addition to the right vertical wall is maintained at a constant temperature, whereas the remaining (horizontal) walls are adiabatic. The Darcy‐Brinkman isotropic model is utilized. The governing partial differential equations are transformed using a vorticity stream function and nondimensional quantities and the resulting governing nonlinear dimensionless equations are solved using the finite difference method with incremental steps. The impacts of the different model parameters (Rayleigh number [Ra], Darcy number [Da], and radiation parameter [Rd]) on the thermofluid characteristics are studied in detail. The computations show that convective heat transfer is enhanced with the greater Darcy parameter (permeability). The flow is accelerated with the increasing buoyancy effect (Rayleigh number) and heat transfer is also increased with a greater radiative flux. The present numerical simulations are more relevant to hybrid porous media solar collectors.

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Melting process in porous media around two hot cylinders: Numerical study using the lattice Boltzmann method

Cited by 109 publications

References 72 publications

Numerical Investigation of Metal Foam Pore Density Effect on Sensible and Latent Heats Storage through an Enthalpy-Based REV-Scale Lattice Boltzmann Method

Numerical Investigation of Metal Foam Pore Density Effect on Sensible and Latent Heats Storage through an Enthalpy-Based REV-Scale Lattice Boltzmann Method

Insight into Foam Pore Effect on Phase Change Process in a Plane Channel under Forced Convection Using the Thermal Lattice Boltzmann Method

Numerical analysis of convective heat transport in a porous semi‐trapezoidal enclosure with radiation effect

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