Thermal lattice-BGK model based on large-eddy simulation of turbulent natural convection due to internal heat generation

Liu, Hongjuan; Zou, Chun; Shi, Baochang; Tian, Zhilong; Zhang, Liqi; Chen, Zheng

doi:10.1016/j.ijheatmasstransfer.2006.03.038

Cited by 28 publications

(30 citation statements)

References 27 publications

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“…Furthermore the nonphysical effects of the models in Refs. [7,25] are canceled in the present model. To the best knowledge of the present author, this is the first attempt to combine the LBM and the entropy generation analysis to study a complex thermal system, which is the second purpose of the present study.…”

Section: Introductionmentioning

confidence: 88%

“…Natural convection due to internal heat generation has been lately receiving increasing attention because of its relevance to nuclear safety issues [5][6][7][8]. As discussed in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, it is not a simple task to measure Pr dependence in convectional turbulence by experiments. Therefore, numerical simulations are required to predict the turbulent flows especially at very high Ra [7,8]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

“…The simulations were carried out at 10 6 Ra 10 12 and Pr between 0.25 and 0.6. Recently Liu et al developed an improved large-eddybased thermal lattice Boltzmann model for such turbulent natural convection [7]. They simulated the natural convection flow with internal heat generation in a square cavity with Ra ¼ 10 6 À 10 13 and Pr ¼ 0.25 À 0.6.…”

Section: Introductionmentioning

confidence: 99%

“…The models proposed in Refs. [7,25] can be derived from the present model. Furthermore the nonphysical effects of the models in Refs.…”

Section: Introductionmentioning

confidence: 99%

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Entropy generation in turbulent natural convection due to internal heat generation

Chen

Krafczyk

2009

International Journal of Thermal Sciences

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Section: Introductionmentioning

confidence: 88%

“…Natural convection due to internal heat generation has been lately receiving increasing attention because of its relevance to nuclear safety issues [5][6][7][8]. As discussed in Refs.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The models proposed in Refs. [7,25] can be derived from the present model. Furthermore the nonphysical effects of the models in Refs.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Entropy generation in turbulent natural convection due to internal heat generation

Chen

Krafczyk

2009

International Journal of Thermal Sciences

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Lattice Boltzmann simulation of heat conduction problems in non‐isothermally heated enclosures

Mondal

Chatterjee

2012

Heat Trans. Asian Res.

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A numerical study following the lattice Boltzmann method (LBM) is performed to solve transient heat conduction problems with and without volumetric heat generation/absorption in 2D and 3D Cartesian geometries. Uniform lattices are considered for both geometries. To validate the correctness of LBM, a finite difference method (FDM) is also used to solve the 2D problem without heat generation/absorption and results are compared with that of LBM. For both 2D and 3D geometries one of the walls is heated and cooled with a sinusoidal function and the rest of the walls are cooled isothermally. Effects of amplitude of the sinusoidal function and volumetric heat generation/absorption on temperature profiles are analyzed. Jiaung et al. [9] developed an extended LBM for phase-change problems governed by the heat conduction equation incorporating enthalpy formation. A non-Fourier heat conduction problem was solved using the LBM by Ho et al. [10]. Tian et al. [11] simulated gaseous flow and heat transfer in micro-channels using the LBM. Viscous heat dissipation was considered in their thermal LB model.

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Internally Heated Convection and Rayleigh-Bénard Convection

Goluskin¹

2016

SpringerBriefs in Applied Sciences and Technology

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PrefaceThe purpose of this SpringerBrief is to review heat transfer in layers of convective fluid. Six different configurations are considered-three that are versions of Rayleigh-Bénard (RB) convection, which is driven by differential heating at the boundaries, and three that are driven by uniform internal heating. The essential features of all six models are derived mathematically. The experimental literature is reviewed in depth for the models of internally heated (IH) convection, which are much less studied than their RB counterparts. Experiments on RB convection are treated in less depth, as they have been thoroughly reviewed elsewhere.Along with placing the various convective models within a conceptual framework that brings out their similarities, we give some minor results not published elsewhere. For instance, a few of the linear instability and energy stability thresholds given in tables 2.2 and 2.3 either have not been reported before or have been reported with less precision. One of the bounds proven in §2.3 is also new, as are the visualizations of simulations included as figure 1.2.Chapter 1 provides background and then defines the six configurations under study, the governing equations of our models, and their basic features. Chapter 2 presents results that can be derived mathematically from the governing equations: linear and nonlinear stability thresholds of static states, along with proven bounds on mean temperatures and heat fluxes. For the IH cases only, chapter 3 gives a quantitative survey of heat transport in both laboratory experiments and numerical simulations, followed by suggestions for future work.

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Thermal lattice-BGK model based on large-eddy simulation of turbulent natural convection due to internal heat generation

Cited by 28 publications

References 27 publications

Entropy generation in turbulent natural convection due to internal heat generation

Entropy generation in turbulent natural convection due to internal heat generation

Lattice Boltzmann simulation of heat conduction problems in non‐isothermally heated enclosures

Internally Heated Convection and Rayleigh-Bénard Convection

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