Convection in multiple layers of immiscible liquids in a shallow cavity—I. Steady natural convection

Prakash, Aviral; Koster, Jean N.

doi:10.1016/0301-9322(94)90089-2

Cited by 29 publications

(11 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Most studies on two-layer RB convection have hitherto been conducted in the non-turbulent regime (Nataf, Moreno & Cardin 1988;Prakash & Koster 1994;Busse & Petry 2009;Diwakar et al 2014), while only a few studies focused on the turbulent one: Davaille (1999) experimentally studied RB convection with two miscible layers and displayed the temperature profiles in each layer and the deformation of the interface. Experiments of RB convection with two immiscible fluid layers were reported by Xie & Xia (2013), who quantified the viscous and thermal coupling between the layers and showed that the global heat flux weakly depends on the type of coupling, i.e.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer in turbulent Rayleigh–Bénard convection through two immiscible fluid layers

et al. 2022

View full text Add to dashboard Cite

We numerically investigate turbulent Rayleigh–Bénard convection through two immiscible fluid layers, aiming to understand how the layer thickness and fluid properties affect the heat transfer (characterized by the Nusselt number $\mbox {Nu}$ ) in two-layer systems. Both two- and three-dimensional simulations are performed at fixed global Rayleigh number $\mbox {Ra}=10^8$ , Prandtl number $\mbox {Pr}=4.38$ and Weber number $\mbox {We}=5$ . We vary the relative thickness of the upper layer between $0.01 \le \alpha \le 0.99$ and the thermal conductivity coefficient ratio of the two liquids between $0.1 \le \lambda _k \le 10$ . Two flow regimes are observed. In the first regime at $0.04\le \alpha \le 0.96$ , convective flows appear in both layers and $\mbox {Nu}$ is not sensitive to $\alpha$ . In the second regime at $\alpha \le 0.02$ or $\alpha \ge 0.98$ , convective flow only exists in the thicker layer, while the thinner one is dominated by pure conduction. In this regime, $\mbox {Nu}$ is sensitive to $\alpha$ . To predict $\mbox {Nu}$ in the system in which the two layers are separated by a unique interface, we apply the Grossmann–Lohse theory for both individual layers and impose heat flux conservation at the interface. Without introducing any free parameter, the predictions for $\mbox {Nu}$ and for the temperature at the interface agree well with our numerical results and previous experimental data.

show abstract

Section: Introductionmentioning

confidence: 99%

Heat transfer in turbulent Rayleigh–Bénard convection through two immiscible fluid layers

et al. 2022

View full text Add to dashboard Cite

show abstract

“…The immiscible fluids are first arranged in two layers according to their densities and then heated from below and cooled from above. Most previous studies of such two-layer RB convection were conducted in the non-turbulent regime (Nataf, Moreno & Cardin 1988;Prakash & Koster 1994;Busse & Petry 2009;Diwakar et al 2014). Experimental studies in the turbulent regime were reported by Xie & Xia (2013), who focused on the flow structures in each layer and the coupling modes between the flows in the two layers, including viscous coupling and thermal coupling.…”

Section: Introductionmentioning

confidence: 99%

Two-layer thermally driven turbulence: mechanisms for interface breakup

et al. 2021

View full text Add to dashboard Cite

show abstract

“…Stellar interiors are commonly segregated into layers with distinct characteristics, for example with a convectively unstable layer sandwiched between stable layers [4]. Multiple-layer convection problems also arise in industrial applications of molten material, particularly in the area of crystal growth [5].…”

Section: Introductionmentioning

confidence: 99%