Bifurcations in penetrative Rayleigh-Bénard convection in a cylindrical container

Sun, Chuanshi; Liu, Shuang; Sun, Daoyuan; Wang, Qi; Wan, Zhen-Hua

doi:10.1007/s10483-019-2474-6

Cited by 5 publications

(2 citation statements)

References 23 publications

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“…It can be observed that the Nusselt numbers appear to scale with the Rayleigh number to the one-fifth power, i.e., Nu ∼ Ra 1/5 , for 10 7 Ra 1.4 × 10 9 . This scaling is in agreement with the theoretical prediction by Rossby [19] and subsequent experimental [8] and numerical [14,21] results. The scaling exponent slightly increases to 1/4 for 1.4 × 10 9 Ra 10 11 .…”

Section: Nu ∼ Ra and Re ∼ Ra Scalingssupporting

confidence: 91%

“…The flow strength in HC is weaker than that in RBC, which means that the convective flow becomes turbulent for a larger Rayleigh number Ra than in RBC. In another word, the critical Ra for the transition to turbulent HC is much higher than that for RBC [12] or related thermal convections [13][14] . For instance, for Ra about 10 9 , the bulk flows in RBC are already turbulent [12,[15][16][17] , while the HC flows are still laminar [18] .…”

Section: Introductionmentioning

confidence: 85%

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Horizontal convection in a rectangular enclosure driven by a linear temperature profile

Tian-Yong

Wang

et al. 2021

Appl. Math. Mech.-Engl. Ed.

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The horizontal convection in a square enclosure driven by a linear temperature profile along the bottom boundary is investigated numerically by using a finite difference method. The Prandtl number is fixed at 4.38, and the Rayleigh number Ra ranges from 107 to 1011. The convective flow is steady at a relatively low Rayleigh number, and no thermal plume is observed, whereas it transits to be unsteady when the Rayleigh number increases beyond the critical value. The scaling law for the Nusselt number Nu changes from Rossby’s scaling Nu ∼ Ra1/5 in a steady regime to Nu ∼ Ra1/4 in an unsteady regime, which agrees well with the theoretically predicted results. Accordingly, the Reynolds number Re scaling varies from Re ∼ Ra3/11 to Re ∼ Ra2/5. The investigation on the mean flows shows that the thermal and kinetic boundary layer thickness and the mean temperature in the bulk zone decrease with the increasing Ra. The intensity of fluctuating velocity increases with the increasing Ra.

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