Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/33425
Title: A theoretical analysis on Rayleigh-Taylor and Richtmyer-Meshkov mixing
Authors: Cao, Y
Chow, WK 
Issue Date: 2005
Source: Journal of physics A : Mathematical and general, 2005, v. 38, no. 29, p. 6613-6622 How to cite?
Journal: Journal of Physics A: Mathematical and General 
Abstract: A general buoyancy-drag model was recently proposed for describing all evolving stages of Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities (Srebro et al 2003 Laser Part. Beams 21 347). We modify the model and then analyse the dynamical growth of RT and RM mixing zones using a spanwise homogeneous approximation, where two sides of the mixing zones are treated as distinct and homogeneously mixed fluids in the spanwise direction. The mixing zones are found to grow self-similarly when the ratio between the average amplitudes Zi (i ≤ 1: bubbles and i ≤ 2: spikes) of the mixing zones and the average wavelengths λi characterizing perturbations remains constant, i.e., Zi/λi ≤ b(A), where b(A) is a constant for a fixed Atwood number A. For a constant acceleration g, Zi ≤ αiAgt2, and for an impulsive acceleration. With a simple form of b(A): and θi deduced agree with recent LEM (linear electric motor) data over the experimental range of density ratio R. In addition, we find with Dα ≤ 0.37 and with Dθ ≤ 0.24. These agree well with recent experiments. Furthermore, as A → 1, α2 → 0.5 and θ2 → 1 are derived, consistent with recent theoretical predictions.
URI: http://hdl.handle.net/10397/33425
ISSN: 0305-4470
DOI: 10.1088/0305-4470/38/29/015
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

4
Last Week
0
Last month
0
Citations as of Oct 8, 2017

WEB OF SCIENCETM
Citations

3
Last Week
0
Last month
0
Citations as of Sep 29, 2017

Page view(s)

33
Last Week
0
Last month
Checked on Oct 15, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.