2022/09/28 by Franco Flandoli, Flandoli, Franco, Ruojun Huang +3 · 2 citations
Engineering · #Particle Dynamics in Fluid Flows
paper · pdf · doi:10.48550/arxiv.2209.14387
A Smoluchowski type model of coagulation in a turbulent fluid is given, first expressed by means of a stochastic model, then in a suitable scaling limit as a deterministic model with enhanced diffusion in the velocity component. A precise link between mean intensity of the turbulent velocity field and coagulation enhancement is obtained by numerical simulations, and a formula for the mean velocity difference, in agreement with the gas-kinetic model, is proved by a new method.