Penetrative internally heated convection in two and three dimensions

Goluskin, David; Poel, Erwin P. van der

doi:10.1017/jfm.2016.69

Cited by 61 publications

(107 citation statements)

References 42 publications

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“…Penetrative convection is usually studied in simplified model problems. Goluskin & van der Poel (2016) considered an internally heated fluid layer which is confined between top and bottom plates of equal temperatures. The unstably-stratified upper region drives convection that penetrates into the stably-stratified lower region.…”

Section: Introductionmentioning

confidence: 99%

Penetrative turbulent Rayleigh–Bénard convection in two and three dimensions

et al. 2019

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Penetrative turbulent Rayleigh-Bénard convection which depends on the density maximum of water near 4 • C is studied using two-dimensional (2D) and three-dimensional (3D) direct numerical simulations (DNS). The working fluid is water near 4 • C with Prandtl number P r = 11.57. The considered Rayleigh numbers Ra range from 10 7 to 10 10 . The density inversion parameter θ m varies from 0 to 0.9. It is found that the ratio of the top and bottom thermal boundary-layer thickness (F λ = λ θ t /λ θ b ) increases with increasing θ m , and the relationship between F λ and θ m seems to be independent of Ra. The centre temperature θ c is enhanced compared to that of Oberbeck-Boussinesq (OB) cases, as θ c is related to F λ with 1/θ c = 1/F λ + 1, θ c is also found to have a universal relationship with θ m which is independent of Ra. Both the Nusselt number N u and the Reynolds number Re decrease with increasing θ m , the normalized Nusselt number N u(θ m )/N u(0) and Reynolds number Re(θ m )/Re(0) also have universal relationships with θ m which seem to be independent of both Ra and the aspect ratio Γ . The scaling exponents of N u ∼ Ra α and Re ∼ Ra β are found to be insensitive to θ m despite of the remarkable change of the flow organizations.

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Section: Introductionmentioning

confidence: 99%

Penetrative turbulent Rayleigh–Bénard convection in two and three dimensions

et al. 2019

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“…A loss of symmetry can be noted compared to the Rayleigh-Bénard case. This is due to the combined effect of the insulating condition (8) and of the non-symmetrical volume heating. The temperature difference between the top and the bottom is dictated by .…”

Section: Fluid Structuresmentioning

confidence: 99%

“…In the case of internal heating, the characterization of global heat transfer differs from the RBC case, since here the heat flux is fixed. In the case of homogeneous internal heat sources Goluskin & van der Poel [8] show that the nondimensional mean fluid temperature is a good indicator of convective transfer and scales as…”

Section: Fluid Structuresmentioning

confidence: 99%

See 1 more Smart Citation

Influence of Skin Depth on Convective Heat Transfer in Induction Heating

Vaux¹,

Zamansky²,

Bergez³

et al. 2017

Proceedings of the VIII International Scientific Colloquium "Modelling for Materials Processing"

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OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. We investigate convection driven by induction heating of a horizontal fluid layer with direct numerical simulations (DNS). This problem is of particular interest in the context of nuclear severe accident mastering. In a real severe accident, the molten core is subjected to homogeneous internal sources resulting from nuclear disintegrations. This situation is mimicked in the laboratory using induction heating as the internal source. In induction heating however, heat sources are localized in the skin layer. Consequently, this concentration of heat may modify the flow and wall heat transfer, compared to the case of homogeneous internal sources.DNS are carried out for three typical skin depths and three total deposited powers. Skin depth variations show surprising results regarding flow structures and heat transfer. It is found that the heat sources heterogeneity has a weak effect on flow structures. Consequently, models of heat transfer in the case of homogeneous sources remain valid even with strong localized heating near the bottom.

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“…The natural thermal convection in horizontal layers with internal heating has been studied before (see, e.g., classical experiments [4], computations [5], and review [6]). Still, unanswered questions remain.…”

Section: Introductionmentioning

confidence: 99%

Subcritical convection in an internally heated layer

Xiang

Zikanov

2017

Phys. Rev. Fluids

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Thermal convection in a horizontal layer with uniform internal heating and stress-free constanttemperature boundaries is analyzed numerically. The work is motivated by the questions arising in development of liquid metal batteries, in which convection is induced by the Joule heating of electrolyte. It is demonstrated that three-dimensional convection cells exist at subcritical Rayleigh numbers. * zikanov@umich.edu

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Penetrative internally heated convection in two and three dimensions

Cited by 61 publications

References 42 publications

Penetrative turbulent Rayleigh–Bénard convection in two and three dimensions

Penetrative turbulent Rayleigh–Bénard convection in two and three dimensions

Influence of Skin Depth on Convective Heat Transfer in Induction Heating

Subcritical convection in an internally heated layer

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