Dynamic scaling and large scale effects in turbulence in compressible stratified fluid

We consider the propagation of sound in a turbulent fluid which is confined between two horizontal parallel plates, maintained at different temperatures. In the homogeneous fluid, Staroselsky et al. had predicted a divergent sound speed at large length scales. Here we find a divergent sound speed and a vanishing expansion coefficient at large length scales. Dispersion relation and the question of scale invariance at large distance scales lead to these results.