2018
DOI: 10.1063/1.5054647
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Letter: Similarity model for corner roll in turbulent Rayleigh-Bénard convection

Abstract: The corner roll (CR) in the Rayleigh-Bénard convection accounts for the behaviors of convection flow and heat transport in the corner. The three-dimensional direct numerical simulations for 108 < Ra < 5 × 109 show that CR presents a well-defined similarity and multi-layer structure. The CR can be described by a stream function derived from the homotopy and the structure ensemble dynamics. The scale of CR has a negative scaling r = 0.770Ra−0.085. A new scaling theory for CR suggests the scalings f… Show more

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Cited by 16 publications
(3 citation statements)
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“…Interestingly, there is only one corner vortex in the LSC diagonal Y = 300mm − X near the heating plate and near the cooling plate. The corner vortex in the LSC diagonal is either not resolved in the particle tracks due to its tiny size or it is not present at frame 32600 because the LSC contains much more energy and the emergence of secondary structures is suppressed (Zhou and Jun, 2018) compared to cases studied in the literature via DNS. At a later time step, e.g.…”
Section: Phase (Ii) -Lsc Reorientationmentioning
confidence: 93%
“…Interestingly, there is only one corner vortex in the LSC diagonal Y = 300mm − X near the heating plate and near the cooling plate. The corner vortex in the LSC diagonal is either not resolved in the particle tracks due to its tiny size or it is not present at frame 32600 because the LSC contains much more energy and the emergence of secondary structures is suppressed (Zhou and Jun, 2018) compared to cases studied in the literature via DNS. At a later time step, e.g.…”
Section: Phase (Ii) -Lsc Reorientationmentioning
confidence: 93%
“…Recently, due to the discovery of heat-transport enhancement in the slim-box, turbulent convection in quasi-2D system has become one important topic in the community of RB convection (see, e.g., Refs. [28][29][30]). However, quasi-2D system is still fundamentally different from the true 2D case.…”
Section: Introductionmentioning
confidence: 99%
“…18 Moreover, many numerical simulations, physical experiments, and analytical solutions have been conducted to investigate the dynamics of buoyant plumes, [19][20][21][22][23][24][25][26][27][28][29][30][31] and the research for the plumes generated by thermal convection is also abundant. [32][33][34][35][36] In particular, Lavelle 37 described the behavior of hydrothermal plumes in a rotating stratified environment by a convection model, and he showed the model to be feasible when simulating the characteristics in the plume cap region and the circulation in the surrounding environment. Pham et al 38 investigated turbulent thermal plumes by direct numerical simulation (DNS) and large eddy simulation (LES).…”
Section: Introductionmentioning
confidence: 99%