Steady Rayleigh–Be´nard Convection in a Two-Layer System of Immiscible Liquids

Abstract

Two-dimensional thermal convection in a system of two immiscible liquids heated from below is studied experimentally and numerically. Convection in the two-layer system is characterized by two distinct coupling modes between the layers. They are mechanical coupling and thermal coupling. These two coupling modes are visualized experimentally and found to be in reasonable agreement with numerical simulations. When buoyancy forces in both layers are of similar strength, thermal coupling is preferred. The mechanical coupling mode dominates when the buoyancy forces are very different in both layers.

Natural convection in a vertically divided square enclosure by a solid partition into air and water regions

“…Based on ratio of thermal conductivities.Thus, Table 2 Analytical results for mean Nusselt numbers using Eqs. (20) and (21) …”

“…Moshkin [18] used finite difference approximation of the Navier-Stokes equations under the Boussinesq-fluid assumption to simulate the flow and heat transfer in a two-layer system of an immiscible fluid. This problem also analyzed by different authors as Prakash and Koster [19,20], Richer [21], Richer and McKenzie [22], Dobretsov and Kyrdyashkin [23], Csereper and Rabinovich [24], Csereper et al [25].…”

B�nard-Marangoni convection in two thin immiscible liquid layers with a uniform magnetic field

“…They concluded ethylene glycol appears to be a better encapsulant liquid than water if the comparison criterion is the minimization of fluid motion in the lower layer. Two-dimensional B~nard convection in a system of two immicible liquids heated from below is studied experimentally and numerically by Prakash and Koster [17]. They found that the convection in a two-layer system is characterized by two distinct coupling modes between the layers, namely mechanical coupling and thermal coupling.…”

Buoyancy-driven convection in two superposed fluid layers in an octagonal cavity

“…A wide variety of short and long-scale patterns were seen to be possible, in addition to the excitation of deformational waves at the interface. Experiments and numerical simulation for flow and thermal fields in the post-stability regime have been reported for rectangular cavities in [8,9].…”