منابع مشابه
On 2D Rayleigh-Taylor instabilities
1 Introduction Consider in the plane the flow of two ideal incompressible fluids of constant densities ρ ± > 0 in the gravity field, with ρ + = ρ −. Velocity field satisfies the Euler equation ∂ρu ∂t + u · ∇ρu = −∇p + ρg (1) div u = 0 (2) ρ t + div (ρu) = 0 (3) with initial data u(x, 0) = u 0 (x). (4) We suppose, that u 0 (x) satisfies the continuity equation (2), and the assumption that vortic...
متن کاملScaling Laws of Nonlinear Rayleigh – Taylor and Richtmyer – Meshkov Instabilities ∗
The nonlinear Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instability are investigated by theoretical models based on singlemode and two-bubble physics at all Atwood numbers (A). A potential-flow treatment of single-mode perturbations shows that the late-time RM single mode velocity decreases as v ∼ λ/t, as well as quantifying a two-bubble overtake interaction (“merger”) analogous to that f...
متن کاملMixing Generated by Rayleigh-taylor and Richtmyer-meshkov Instabilities
We apply the Canuto-Goldman (CG) analytical model to turbulence generated by the class of instabilities which have a power-law growth rate. For the case of Rayleigh-Taylor (RT) instability we compare the results of the model with the experiments of Read and Youngs and find reasonable agreement on the scale size of large eddies: they are predicted to be a0% of the mixing length and are at least ...
متن کاملRayleigh-Taylor instabilities in thin films of tapped powder.
We observe powder "droplets" forming when tapping repeatedly a horizontal flat plate initially covered with a monolayer of fine powder particles. Starting from a simple model involving both the air flow through the porous cake and avalanche properties, we set up an analytical model which satisfactorily fits the experimental results. We observe a close analogy between the governing equations of ...
متن کاملNonlinear Evolution of the Rayleigh-Taylor and Richtmyer-Meshkov Instabilities
Scaled experiments on the nonlinear evolution of the RayleighTaylor (RT) and Richtmyer-Meshkov (RM) instabilities are described under a variety, of conditions that occur in nature. At high Reynolds number, the mixi,ng layer grows self-similarly aiAgt* for a constant acceleration (g), and as a power law t*’ 1 for impulsive accelerations US(t) at low and high Mach numbers. The growth coefficients...
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ژورنال
عنوان ژورنال: Journées Équations aux dérivées partielles
سال: 2004
ISSN: 0752-0360
DOI: 10.5802/jedp.7