NDLI: Convection in a Two-Layer System with a Deformable Interface Under Low Gravity Conditions

Content Provider	Springer Nature Link
Author	Lyubimova, Tatyana Lyubimov, Dmitriy Parshakova, Yanina Ivantsov, Andrey
Copyright Year	2010
Abstract	The onset of thermal convection in a system of two horizontal layers of immiscible liquids of similar densities is studied under low gravity conditions. A constant heat flux is prescribed at both rigid boundaries. A generalized Boussinesq approach that allows correct accounting for the interface deformation is used. The long-wave perturbations emerge under low-gravity conditions; either monotonic or oscillatory modes are critical depending on the problem. Moreover, two different modes of the monotonic instability exist. For the first instability mode, the convection dominates, whereas the interface remains nearly undeformable. The second monotonic instability mode is substantially related to interface deformations. The system of non-linear amplitude equations describing the behavior of long-wave regimes at finite-amplitude interface deflection and finite supercriticalities is obtained. The analytical and numerical investigations of these equations show that the stable non-trivial stationary solutions are absent, and after a transient at least one of the layers is split into the areas not connected to each other. The nonlinear regimes of cellular convection are studied numerically by the Level Set method.
Starting Page	143
Ending Page	150
Page Count	8
File Format	PDF
ISSN	09380108
Journal	Microgravity Science and Technology
Volume Number	23
Issue Number	2
e-ISSN	18750494
Language	English
Publisher	Springer Netherlands
Publisher Date	2010-05-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Two-layer system Thermal convection Generalized Boussinesq approach Stability analysis Classical Continuum Physics Extraterrestrial Physics, Space Sciences Aerospace Technology and Astronautics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Physics and Astronomy Engineering Modeling and Simulation

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