The implications of full self-similarity of the Rayleigh-Taylor mixing layer and the Kelvin-Helmholtz shear layer are examined using a simplified group-theoretic analysis. The constraints on the behavior and evolution of these layers imposed by rigorous self-similarity are identified, and equations are constructed for the growth rate of these layers based on a total energy balance. This analysis does not prove that such flows will become self-similar. Rather, the analysis demonstrates the behaviors that would arise if these flows were to become fully self-similar.
Physical Review E
- Pub Date:
- December 2003
- Isotropic turbulence;
- homogeneous turbulence;
- Shock wave interactions and shock effects;
- Implosion symmetry and hydrodynamic instability