Scaling and similarity laws in three-dimensional wall jets

Dimensional analysis and scaling laws

Scaling Laws and Similarity Detection in Sequence Alignment with Gaps

We study the problem of similarity detection by sequence alignment with gaps, using a recently established theoretical framework based on the morphology of alignment paths. Alignments of sequences without mutual correlations are found to have scale-invariant statistics. This is the basis for a scaling theory of alignments of correlated sequences. Using a simple Markov model of evolution, we gen...

Three-dimensional simulations of jets

We present three-dimensional direct numerical simulations of an hydrodynamical supersonic jet, comparing them to analogous results obtained in two dimensions. The differences seen between three-dimensional and two-dimensional jet evolution including faster evolution, enhanced mixing and larger jet momentum depletion, are interpreted in terms of specific physical differences between these two ca...

Scaling laws for jets of single cavitation bubbles

Fast liquid jets, called micro-jets, are produced within cavitation bubbles experiencing an aspherical collapse. Here we review micro-jets of different origins, scales and appearances, and propose a unified framework to describe their dynamics by using an anisotropy parameter ζ > 0, representing a dimensionless measure of the liquid momentum at the collapse point (Kelvin impulse). This paramete...

Intermittency and scaling laws for wall bounded turbulence

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