The αs and θs in Rayleigh–Taylor and Richtmyer–Meshkov instabilities
| Autor: | James Glimm, Baolian Cheng, David H. Sharp |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Drag coefficient Bubble Statistical and Nonlinear Physics Mechanics Edge (geometry) Condensed Matter Physics 01 natural sciences Omega 010305 fluids & plasmas Physics::Fluid Dynamics symbols.namesake 0103 physical sciences symbols Growth rate Rayleigh scattering 010306 general physics Mixing (physics) |
| Zdroj: | Physica D: Nonlinear Phenomena. 404:132356 |
| ISSN: | 0167-2789 |
| Popis: | The alphas ( α b , α s ) and thetas ( θ b , θ s ) are the essential parameters describing the asymptotic growth behavior of the mixing layer driven by Rayleigh–Taylor (RT) and Richtmyer–Meshkov (RM) instabilities at the interface between the fluids. Extensive simulations and experiments have been conducted in the determination of these parameters. The results depend on numerical algorithms, resolutions, and the accuracy of experimental measurements. In this article, we present a unique relationship between the alphas and thetas by applying a simple buoyancy-drag mixing model. Our first main result is that, for the same fluids, these parameters are not independent because they are fundamentally connected by physics principles and they all are functions of the drag coefficients of the fluids. As a consequence, the alphas and thetas are intrinsically coupled. All are functions of any single one of these. Our second main result is that the RT bubble growth rate ( α b ) is determined by the bubble competition process – a merger model – at the edge of the mixing layer. Together, these two main results determine all the alphas and thetas by strictly theoretical reasoning. Applications to both hydro and laser driven experiments at OMEGA are presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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