Turbulence: Scaling relations and energy transfer

Abstract:Turbulent flows are ubiquitous; examples include flows in astrophysical settings, atmospheric and oceanicflows, boiling, etc. Statistical theories of turbulence provide a natural framework to study various aspects of theseflows. In my talk, I will present an overview of the statistical framework used to study homogeneous, isotropicturbulence, discuss the cascade picture of energy transfer, and then present the celebrated Kolmogorov’s exact resultfor the third-order velocity correlations. I will also introduce the multifractal formalism of U. Frisch and G. Parisi.Finally, I will present how we use these frameworks to study complex spatiotemporal flow patterns generatedby a suspension of rising bubbles.