منابع مشابه
Stressed horizontal convection
We consider the problem of a Boussinesq fluid forced by applying both non-uniform temperature and stress at the top surface. On the other boundaries the conditions are thermally insulating and either no-slip or stress-free. The interesting case is when the direction of the steady applied surface stress opposes the sense of the buoyancy driven flow. We obtain two-dimensional numerical solutions ...
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A linear stability analysis is applied to a system consisting of three horizontal layers, a viscous fluid layer sandwiched between two porous medium permeated by the fluid that the lower layer is heated uniformlly from below. Flow in the porous medium is assumed to be governed by Darcy’s law. The Beavers-Joseph condition is applied at the interface between any two different layers.Spectral meth...
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Consider the problem of horizontal convection: a Boussinesq fluid, forced by applying a non-uniform temperature at its top surface, with all other boundaries insulating. We prove that if the viscosity, ν, and thermal diffusivity, κ, are lowered to zero, with σ ≡ ν/κ fixed, then the energy dissipation per unit mass, ε, also vanishes in this limit. Numerical solutions of the two-dimensional case ...
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The stationary problem for the heat convection of compressible fluid is considered around the equilibrium solution with the external forces in the horizontal strip domain z0 < z < z0 + 1 and it is proved that the solution exists uniformly with respect to z0 ≥ Z0 . The limit system as z0 → +∞ is the Oberbeck-Boussinesq equations. Mathematics Subject Classification (2010). Primary 35Q35; Secondar...
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In the present study, the onset of double diffusive reaction-convection in a uid layer with viscous fluid, heated and salted from below subject to chemical equilibrium on the boundaries, has been investigated. Linear and nonlinear stability analysis have been performed. For linear analysis normal mode technique is used and for nonlinear analysis minimal representation of truncated Fourier serie...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2008
ISSN: 0022-1120,1469-7645
DOI: 10.1017/s0022112008002942