Numerical simulation of laminar and turbulent buoyancy-driven flows using a lattice Boltzmann based algorithm

Zhou, Yong; Zhang, R.; Staroselsky, Ilya; Chen, H.

doi:10.1016/j.ijheatmasstransfer.2004.05.020

Cited by 55 publications

(13 citation statements)

References 33 publications

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“…The LBM has achieved great success in simulating nearly incompressible and thermal fluid flows [4][5][6]. Furthermore, there has been an ongoing effort in construction of stable LB models and schemes to simulate fully compressible and weakly compressible thermal flows.…”

Section: Introductionmentioning

confidence: 99%

Regularized thermal lattice Boltzmann method for natural convection with large temperature differences

Feng

Guo

Tao

et al. 2018

International Journal of Heat and Mass Transfer

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A new thermal lattice Boltzmann (LB) method is proposed for the simulation of natural convection with large temperature differences and high Rayleigh number. A regularization procedure is developed on LB equation with a third order expansion of equilibrium distribution functions, in which a temperature term is involved to recover the equation of state for perfect gas. A hybrid approach is presented to couple mass conservation equation, momentum conservation equations and temperature evolution equation. A simple and robust non-conservative form of temperature transport equation is adopted and solved by the finite volume method. A comparison study between classical Double Distribution Function (DDF) model and the hybrid finite volume model with different integration schemes is presented to demonstrate both consistency and accuracy of hybrid models. The proposed model is assessed by simulating several test cases, namely the two-dimensional non-Boussinesq natural convection in a square cavity with large horizontal temperature differences and two unsteady natural convection flows in a tall enclosure at high Rayleigh number. The present method can accurately predict both the steady and unsteady non-Boussinesq convection flows with significant heat transfer. For unsteady natural convection, oscillations with chaotic feature can be well captured in large temperature gradient conditions.

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Section: Introductionmentioning

confidence: 99%

Regularized thermal lattice Boltzmann method for natural convection with large temperature differences

Feng

Guo

Tao

et al. 2018

International Journal of Heat and Mass Transfer

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“…They observed that three kinds of flow transitions formed successively as the Grashof number increased: unicellular flow to steady multicellular flow; steady multicellular flow to unsteady multicellular flow; and unsteady multicellular flow to steady multicellular flow. Zhou et al [25] used the Lattice-Boltzmann algorithm to simulate the buoyancy-driven flows of turbulent natural convection in enclosed tall air cavities and captured the stability of the Rayleigh-Bénard convection near the critical Rayleigh number. Ganguli et al [8] showed that as the enclosure aspect ratio increased, the transition from unicellular to multicellular flow occurred, which enhanced the convective heat transfer coefficient.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Study of Fluid Flow and Heat Transfer in Carbon Dioxide Enclosures on Mars

Sun

Lin

et al. 2018

Energies

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Abstract:In order to support the future thermal control and energy conservation design for the Mars rover, numerical studies on natural convection in CO 2 enclosures on Mars' surface were conducted for both horizontal and vertical enclosures. The parameters are as follows: the atmospheric pressure was 1000 Pa, the gravitational acceleration was 3.62 m/s 2 , and the Prandtl number was 0.77. The heat flux, temperature, and velocity fields of the CO 2 enclosures were obtained with the aspect ratio ranging from 5.56 to 200 and the Grashof number ranging from 430 to 2.6 × 10 4 . It was found that natural convection formed more easily in the horizontal enclosures than that in the vertical enclosures when the enclosures had same thickness. With the increasing thickness of the enclosures, Rayleigh-Bénard convections formed in the horizontal enclosures, while only single-cell convections formed in the vertical enclosures. The heat flux through the horizontal enclosures was greater than that through the vertical enclosures with the same thickness when natural convection formed. The maximum difference between them reached 35.26%, which was illustrated by the field synergy principle. A hysteresis phenomenon of the natural convection dominating the heat transfer was found in the vertical enclosure on Mars' surface. New values for the critical Grashof number and correlations for the average Nusselt number for both the horizontal and vertical CO 2 enclosures on Mars' surface were also developed.

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“…In the doubled population approach, the flow and the temperature fields are solved by two separate evolution equations, both of which, at the macroscopic level yield the Navier-Stokes equation and the energy equation through an appropriate Chapman-Enskog expansion. Various natural convection studies have been performed using thermal LBM for laminar and turbulent natural convection in a closed rectangular cavity [26][27][28][29][30][31][32][33] and natural convection with complex geometries [34], natural convection in open cavity [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann Simulation of Natural Convection in a Differentially Heated Square Enclosure Containing Heat Generating Low‐Prandtl Number Fluid

Gera

Singh

2014

Heat Trans. Asian Res.

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Lattice Boltzmann simulations were conducted for the free convective flow of a low‐Prandtl number (Pr = 0.0321) fluid with internal heat generation in a square enclosure having adiabatic top and bottom walls and isothermal side walls. The problem of free convection with volumetric heat source has represented itself in connection with advanced engineering applications, such as water‐cooled lithium–lead breeder blankets for nuclear fusion reactors and liquid metal sources of spallation neutrons for subcritical fission systems. A single relaxation time (SRT) thermal lattice Boltzmann method (LBM) was employed. While applying SRT, a D2Q9 model was used to simulate the flow field and temperature field. Results have been obtained for various Rayleigh numbers characterizing internal and external heating from 103 to 106. Flow and temperature fields in terms of stream function and isotherms in the enclosure were predicted for these cases. The temperature of the fluid in the enclosure was found higher than the heated wall temperature at high values of internal Rayleigh numbers. The internal heat generation affected the rate of heat transfer significantly as two convection loops are observed in the enclosure. The average Nusselt number at the heated and cold wall was determined for all the cases.

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Numerical simulation of laminar and turbulent buoyancy-driven flows using a lattice Boltzmann based algorithm

Cited by 55 publications

References 33 publications

Regularized thermal lattice Boltzmann method for natural convection with large temperature differences

Regularized thermal lattice Boltzmann method for natural convection with large temperature differences

A Numerical Study of Fluid Flow and Heat Transfer in Carbon Dioxide Enclosures on Mars

Lattice Boltzmann Simulation of Natural Convection in a Differentially Heated Square Enclosure Containing Heat Generating Low‐Prandtl Number Fluid

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