Open AccessEffect of rotation on stability of advective flow in horizontal liquid layer with a free upper boundary
Author(s) -
К. Г. Шварц,
Abdelaziz Boudlal
Publication year - 2010
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/216/1/012005
Subject(s) - grashof number , prandtl number , mathematics , flow (mathematics) , mathematical analysis , mechanics , boundary layer , linear stability , free surface , advection , partial differential equation , classical mechanics , physics , geometry , reynolds number , instability , thermodynamics , nusselt number , convection , turbulence
International audienceA horizontal liquid film of infinite extent is bounded below by a rigid plane and above by free surface, rotating about a vertical axis. Advective flow is set by imposing a constant temperature gradient on both boundaries. In the framework of Boussinesq approximation, we obtain an exact stationary solution of Navier-Stokes equations. The linear theory of stability for such flow is numerically investigated by reducing the initial system to the boundary problem for linear one-dimensional partial differential equations. The neutral stability flow states for normal perturbations are carried out; then the critical flow parameters allow us to get the dependence between the critical Grashof number and the wave number for various Taylor ones at a fixed Prandtl number, Pr=6.7