Lattice boltzmann method for natural convection with multicomponent and multiphase fluids in a two‐dimensional square cavity

Qiu, Ruofan; Wang, Anlin; Jiang, Tao

doi:10.1002/cjce.21950

Cited by 17 publications

(6 citation statements)

References 21 publications

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“…The variation of isotherms indicates the change of the dominant heat transfer mechanism from conduction to convection. This outcome is in agreement with the results of natural convection in a cavity domain which was investigated in previous studies [33]. Fig.…”

Section: Density Ratio |Gf|supporting

confidence: 93%

“…It is obvious that the LBE method is valid only for the incompressible limit u/c s → 0. This means that u is smaller than 0.13 [31,33]. In our simulation, to maintain a higher accuracy, maximum velocity needs to be smaller than 0.6 with consideration of the velocity field influence on the field temperature.…”

Section: Single Component Multi-phases (Scmp) Analysismentioning

confidence: 99%

“…That means that the velocity 'u' in Equation 3 can be replaced with the below in Equation 18 [32]: 18where = F1 + F2. Then, with consideration of averaging of the moment before and after the collision, the whole fluid velocity U can be written as below in Equation 19 [33]:…”

Section: Multi-phase Lbe Modelmentioning

confidence: 99%

“…With this approximation, all material properties of flows are assumed to be constant except the density in the term of gravity. After absorbing the constant part of the gravity into the pressure, the effective external force can be written as Equation 20 [33]:…”

Section: Mathematical Formulationmentioning

confidence: 99%

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Lattice Boltzmann Simulation of Natural Convection in a Fractured Petroleum Reservoir Domain: Single-Phase and Multi-Phases Investigations

Kaydani¹,

Mohebbi²,

Forghani³

2018

TOPEJ

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Background:Natural convection is one of the main effective production mechanisms in a fractured petroleum reservoir.Objective:This paper investigated the simulation of natural convection heat transfer in a fracture domain of petroleum reservoir.Methods:This is done by using Lattice-Boltzmann Equation (LBE) method. In this study, a D2Q9 lattice model was coupled with the passive-scalar lattice thermal model to represent density, velocity and internal energy distribution function, respectively.Results and Conclusion:The results were in excellent agreement with CFD results from the literature. The effects of Rayleigh number and Aspect-Ratio (AR) on flow pattern and temperature distribution were studied. The results indicated that natural convection rate increased with the Rayleigh number increment. The local Nusselt number (Nu) was evaluated on the hot wall and it was rising with increasing the Rayleigh number. Streamlines and temperature field were affected significantly by changing the aspect-ratio. Moreover, first of all, natural convection in Single Component Mutli-Phase (SCMP) was discussed and here and then after validation of SCMP model, the results indicated that the streamline and isotherm were affected by second phases because of the formation of two-phase flow in some of the reservoirs or production period.

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Section: Density Ratio |Gf|supporting

confidence: 93%

Section: Single Component Multi-phases (Scmp) Analysismentioning

confidence: 99%

Section: Multi-phase Lbe Modelmentioning

confidence: 99%

Section: Mathematical Formulationmentioning

confidence: 99%

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Lattice Boltzmann Simulation of Natural Convection in a Fractured Petroleum Reservoir Domain: Single-Phase and Multi-Phases Investigations

Kaydani¹,

Mohebbi²,

Forghani³

2018

TOPEJ

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“…However, simulations based on this model were restricted to those without phase change process. Qiu et al also studied multicomponent jet flow with heat transfer without phase change . To the best of the authors’ knowledge, little research has been reported on multicomponent multiphase fluids accompanied by phase change with heat transfer.…”

Section: Introductionmentioning

confidence: 99%

Multicomponent lattice Boltzmann model for simulation of phase change with heat transfer

Liu

Wang

2018

Can J Chem Eng

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A multicomponent lattice Boltzmann model for simulation of phase change with heat transfer is proposed in this paper. The model combines a thermal single-component phase change model with a multicomponent model, and the two models are verified separately. The combined model is used to simulate the phase change process of one component in multicomponent fluid with heat transfer. The phase change of a static droplet wrapped in another component and the phase change of fluid flowing into another component with gravity effect are solved numerically based on the proposed model. The ratio of density before and after phase change in the simulation is close to 10. Distribution of temperature field and flow field during phase transition is discussed. Simulation results also show the influence of specific heat capacity on the phase change rate.

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A unified interaction model for multiphase flows with the lattice Boltzmann method

2022

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The lattice Boltzmann method (LBM) has been increasingly adopted for modelling multiphase fluid simulations in engineering problems. Although relatively easy to implement, the ubiquitous Shan–Chen pseudopotential model suffers from limitations such as thermodynamic consistency and the formation of spurious currents. In the literature, the Zhang–Chen, Kupershtokh et al., the β‐scheme, and the Yang–He alternative models seek to mitigate these effects. Here, through analytical manipulations, we call attention to a unified model from which these multiphase interaction forces can be recovered. Isothermal phase‐transition simulations of single‐component in stationary and oscillating droplet conditions, as well as spinodal decomposition calculations, validate the model numerically and reinforce that the multiphase forces are essentially equivalent. Parameters are selected based on the vapour densities at low temperatures in the Maxwell coexistence curve, where there is a narrow range of optimal values. We find that expressing the model parameters as functions of the reduced temperature further enhances the thermodynamic consistency without losing stability or increasing spurious velocities.

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Lattice boltzmann method for natural convection with multicomponent and multiphase fluids in a two‐dimensional square cavity

Cited by 17 publications

References 21 publications

Lattice Boltzmann Simulation of Natural Convection in a Fractured Petroleum Reservoir Domain: Single-Phase and Multi-Phases Investigations

Lattice Boltzmann Simulation of Natural Convection in a Fractured Petroleum Reservoir Domain: Single-Phase and Multi-Phases Investigations

Multicomponent lattice Boltzmann model for simulation of phase change with heat transfer

A unified interaction model for multiphase flows with the lattice Boltzmann method

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