Disperse two-phase flows, with applications to geophysical problems

In this paper we study the motion of a fluid with several dispersed particles whose concentration is very small (smaller than \(10^{-3}\)), with possible applications to problems coming from geophysics, meteorology, and oceanography. We consider a very dilute suspension of heavy particles in a quasi...

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Bibliographic Details
Published in:arXiv.org 2014-03
Main Authors: Berselli, Luigi Carlo, Cerminara, Matteo, Iliescu, Traian
Format: Article
Language:English
Subjects:
Boussinesq equations
Compressibility
Computational fluid dynamics
Computer simulation
Dilution
Exchanging
Fluid flow
Geophysics
Incompressible flow
Incompressible fluids
Large eddy simulation
Mach number
Mathematical models
Meteorology
Oceanography
Particle inertia
Particle interactions
Simulation
Stokes number
Tracers
Two phase flow
Vortices
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Summary:In this paper we study the motion of a fluid with several dispersed particles whose concentration is very small (smaller than \(10^{-3}\)), with possible applications to problems coming from geophysics, meteorology, and oceanography. We consider a very dilute suspension of heavy particles in a quasi-incompressible fluid (low Mach number). In our case the Stokes number is small and --as pointed out in the theory of multiphase turbulence-- we can use an Eulerian model instead of a Lagrangian one. The assumption of low concentration allows us to disregard particle--particle interactions, but we take into account the effect of particles on the fluid (two-way coupling). In this way we can study the physical effect of particle inertia (and not only passive tracers), with a model similar to the Boussinesq equations. The resulting model is used in both direct numerical simulations and large eddy simulations of a dam-break (lock-exchange) problem, which is a well-known academic test case. Keywords: Dilute suspensions, Eulerian models, direct and large eddy simulations, slightly compressible flows, dam-break (lock-exchange) problem.
ISSN:2331-8422
DOI:10.48550/arxiv.1403.5448