Investigation on the three-dimensional multiphase conjugate conduction problem inside porous wick with the lattice Boltzmann method

Zhao, Kai; Li, Qiang; Xuan, Yi

doi:10.1007/s11431-009-0103-7

Cited by 25 publications

(11 citation statements)

References 21 publications

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“…On-node schemes have also been developed where the conjugate interface is placed on lattice nodes [9,10]. Alternatively, Zhao et al [11] simulated the conjugate heat transfer process in porous wick by simply assigning different thermal diffusivity values to lattice nodes on each side of the conjugate interface. This approach is easy to implement and no particular treatments at the interface is required; however, the volume thermal capacities (product of density and specific heat capacity) in different domains must be the same [11].…”

Section: Introductionmentioning

confidence: 99%

Counter-extrapolation method for conjugate interfaces in computational heat and mass transfer

Oulaid

Zhang

2015

Phys. Rev. E

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In this paper a conjugate interface method is developed by performing extrapolations along the normal direction. Compared to other existing conjugate models, our method has several technical advantages, including the simple and straightforward algorithm, accurate representation of the interface geometry, applicability to any interface-lattice relative orientation, and availability of the normal gradient. The model is validated by simulating the steady and unsteady convection-diffusion system with a flat interface and the steady diffusion system with a circular interface, and good agreement is observed when comparing the lattice Boltzmann results with respective analytical solutions. A more general system with unsteady convection-diffusion process and a curved interface, i.e., the cooling process of a hot cylinder in a cold flow, is also simulated as an example to illustrate the practical usefulness of our model, and the effects of the cylinder heat capacity and thermal diffusivity on the cooling process are examined. Results show that the cylinder with a larger heat capacity can release more heat energy into the fluid and the cylinder temperature cools down slower, while the enhanced heat conduction inside the cylinder can facilitate the cooling process of the system. Although these findings appear obvious from physical principles, the confirming results demonstrates the application potential of our method in more complex systems. In addition, the basic idea and algorithm of the counter-extrapolation procedure presented here can be readily extended to other lattice Boltzmann models and even other computational technologies for heat and mass transfer systems.

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Section: Introductionmentioning

confidence: 99%

Counter-extrapolation method for conjugate interfaces in computational heat and mass transfer

Oulaid

Zhang

2015

Phys. Rev. E

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“…The first pseudo-potential model based on field theory has been developed by Shan and Chen [4] (SC model) since 1993. Then it became a huge success in the simulations of bubble dynamics, spinodal decomposition, multiphase flow in porous media and other application areas [5][6][7][8][9][10][11][12][13] . Unfortunately, the SC model requires that the effective mass inside the square root must be positive, and this requirement greatly limits its real applications.…”

mentioning

confidence: 99%

Simulation of phase transition process using lattice Boltzmann method

Zeng

Liao

et al. 2009

Sci. Bull.

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“…For the four boundaries of the computational domain, we follow the nonequilibrium extrapolation rule proposed by Guo et al (2002), which is of second order and has better numerical stability, and the convective boundary conditions mentioned above can also be treated in LBM like the heat flux boundary condition (Zhao et al 2009). …”

Section: Four Surrounding Boundariesmentioning

confidence: 99%

“…It is conduction in the solid grains and the cover plate, but convection in the pores. Furthermore, there are three different energy diffusivities for solid phase, liquid phase, and the cover plate, so for the whole evaporator, the energy equations are solved as a conjugate problem, which are solved by a spatially varying relaxation time in the present lattice Boltzmann model (Zhao et al 2009). As mentioned above, the vapor-liquid interface is a very important boundary for LBM algorithm, and for this boundary, the macroscopic velocity driven by the evaporation and the density of the liquid are known before the evolution.…”

Section: Special Treatments In Lbm For the Porous Structure And The Vmentioning

confidence: 99%

Investigation on Heat and Mass Transfer in a Evaporator of a Capillary-Pumped Loop with the Lattice Boltzmann Method: Pore Scale Simulation

Xuan

Zhao

2011

Transp Porous Med

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A two-dimensional transient numerical model based on the lattice Boltzmann method (LBM) for the global evaporator of a capillary-pumped loop (CPL) is proposed to describe heat and mass transfer with evaporation in the porous wick, heat conduction in the cover plate, and heat transfer in the vapor groove. To indicate the stochastic phase distribution characteristics of most porous wick, the quartet structure generation set (QSGS) is introduced for generating more realistic microstructures of porous media. By using the present lattice Boltzmann algorithm along with the porous structure, the heat and mass transfer of an evaporator on pore scale can be predicted without resorting to any empirical parameters determined case by case. The energy equations for entire evaporator are solved as a conjugate problem, which are solved by means of a spatially varying relaxation time in the lattice Boltzmann model and the liquid flow is driven via the interfacial mass flux. A convective boundary condition considering the latent heat during the evaporation on the interface is introduced into the lattice Boltzmann model based on the nonequilibrium extrapolation rule. Especially, the bounce-back rule and the equilibrium rule of the LBM are, respectively, introduced to deal with the momentum boundary conditions inside the porous wick and on the evaporation interface in order to ensure the stability and the efficiency of the LBM model. Numerical results corresponding to different working conditions and different working fluids are presented, which provide guidance for the evaporator design of a CPL system.

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Investigation on the three-dimensional multiphase conjugate conduction problem inside porous wick with the lattice Boltzmann method

Cited by 25 publications

References 21 publications

Counter-extrapolation method for conjugate interfaces in computational heat and mass transfer

Counter-extrapolation method for conjugate interfaces in computational heat and mass transfer

Simulation of phase transition process using lattice Boltzmann method

Investigation on Heat and Mass Transfer in a Evaporator of a Capillary-Pumped Loop with the Lattice Boltzmann Method: Pore Scale Simulation

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