Two-dimensional large-eddy simulation of turbulent natural convection due to internal heat generation

Horvat, Andrej; Kljenak, Ivo; Marn, Jure

doi:10.1016/s0017-9310(01)00066-7

Cited by 43 publications

(32 citation statements)

References 15 publications

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“…3, including those in Refs. [2,17]. It can be found that our results for Ra 6 10 9 agree well with those in Refs.…”

Section: Time-boundary-averaged Nusselt Numberssupporting

confidence: 92%

“…It can be found that our results for Ra 6 10 9 agree well with those in Refs. [2,17], which verifies and validates our model. With the increasing of Ra, the effect of the eddy viscosity m t becomes significant so that the deviations of Nu between different models on the boundaries set in.…”

Section: Time-boundary-averaged Nusselt Numberssupporting

confidence: 74%

“…To quantify the results, the time-boundary-averaged Nusselt numbers [2] obtained by our TLBGK model based on LES are plotted in Fig. 3, including those in Refs.…”

Section: Time-boundary-averaged Nusselt Numbersmentioning

confidence: 99%

“…While the Rayleigh-Bénard convection (RBC) has been extensively studied, the literature on NC driven by internal heat is confined to fewer studies (see Ref. [2], for a list of references).…”

Section: Introductionmentioning

confidence: 99%

“…A viable alternative to the direct numerical simulation (DNS) is the method of LES [3,6], a time-honored method in engineering fluid mechanics and meteorology, which may be the only way to simulate the time-dependent physics in its full complexity while keeping a reasonable accuracy at the largest scales. Horvat et al [2,7] simulated the NC flow with internal heat generation in a square cavity for a wide range of Ra and Pr: Ra 10 6 -10 13 and Pr 0.25-8 by using LES.…”

Section: Introductionmentioning

confidence: 99%

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

Liu

Zou

Shi

et al. 2006

International Journal of Heat and Mass Transfer

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“…3, including those in Refs. [2,17]. It can be found that our results for Ra 6 10 9 agree well with those in Refs.…”

Section: Time-boundary-averaged Nusselt Numberssupporting

confidence: 92%

Section: Time-boundary-averaged Nusselt Numberssupporting

confidence: 74%

“…To quantify the results, the time-boundary-averaged Nusselt numbers [2] obtained by our TLBGK model based on LES are plotted in Fig. 3, including those in Refs.…”

Section: Time-boundary-averaged Nusselt Numbersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Liu

Zou

Shi

et al. 2006

International Journal of Heat and Mass Transfer

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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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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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Two-dimensional large-eddy simulation of turbulent natural convection due to internal heat generation

Cited by 43 publications

References 15 publications

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

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

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

Internally Heated Convection and Rayleigh-Bénard Convection

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