Two-phase flow analysis of self-similar turbulent mixing by Rayleigh–Taylor instability
Authors:
- 1 May 1991
- journal article
- conference paper
- Published by AIP Publishing in Physics of Fluids A: Fluid Dynamics
- Vol. 3 (5) , 912-918
Abstract
The evolution of a randomly perturbed interface between unbounded incompressible fluids undergoing Rayleigh–Taylor instability is analyzed numerically and theoretically. Two-dimensional simulation results, obtained with an interface tracking code, are presented and compared with a theoretical model based on Young’s two-phase flow description of the mixing process. The simplifications implied by self-similarity and by high drag enable simple analytic results to be obtained for the profiles of the average volume fractions and velocities of the two materials as a function of penetration depth. Agreement of the analytic results with the simulation data is demonstrated for a wide range of density ratios.Keywords
This publication has 14 references indexed in Scilit:
- Modelling turbulent mixing by Rayleigh-Taylor instabilityPhysica D: Nonlinear Phenomena, 1989
- Onset of nonlinear saturation for Rayleigh-Taylor growth in the presence of a full spectrum of modesPhysical Review A, 1989
- Bubble competition in Rayleigh–Taylor instabilityThe Physics of Fluids, 1988
- Nonlinear free-surface Rayleigh-Taylor instabilityPhysical Review A, 1986
- Experimental investigation of turbulent mixing by Rayleigh-Taylor instabilityPhysica D: Nonlinear Phenomena, 1984
- Numerical simulation of turbulent mixing by Rayleigh-Taylor instabilityPhysica D: Nonlinear Phenomena, 1984
- An overview of Rayleigh-Taylor instabilityPhysica D: Nonlinear Phenomena, 1984
- Rayleigh-Taylor overturn in supernova core collapseThe Astrophysical Journal, 1981
- Two-Dimensional Simulation of Fluid Instability in Laser-Fusion PelletsPhysical Review Letters, 1975
- An arbitrary Lagrangian-Eulerian computing method for all flow speedsJournal of Computational Physics, 1974