We consider complex fluids consisting of a dispersed phase (solid particles or liquid droplets) immersed in a gas. A class of models describing the dynamics of such a kind of systems is given by a system of partial differential equations where a kinetic equation, describing the dispersed phase, is coupled to a fluid equation for the background gas. The coupling is given by the drag force exerted by the gas on the dispersed phase. Within this class, we shall analyse the case where the kinetic equation is a Vlasov-type equation and the fluid equation are of Stokes or Navier-Stokes type. We shall discuss the validation problem for this class of models, i.e. the derivation of the equations of the model from evolution equations given on a scale which can be considered ”microscopic” with respect to the final one; in particular we shall analyse the difficulty of dealing with a particle model for the system ([1, 2]), and the (formal) derivation of the Vlasov-(Navier-)Stokes model from a multiphase Boltzmann model in suitables asymptotics ([3]). The results have been obtained in collaboration with E.Bernard, L.Desvillettes, F.Golse.

Ricci, V. (2016). Validation of models for sprays. In L. Bonaventura, L. Formaggia, E. Miglio, N.S. Parolini, C. Vergara (a cura di), PROCEEDINGS OF SIMAI 2016 THE XIII BIANNUAL CONGRESS OF SIMAI 13-16 SEPTEMBER 2016 MILAN, ITALY (pp. 70-70).

Validation of models for sprays

RICCI, Valeria
2016-01-01

Abstract

We consider complex fluids consisting of a dispersed phase (solid particles or liquid droplets) immersed in a gas. A class of models describing the dynamics of such a kind of systems is given by a system of partial differential equations where a kinetic equation, describing the dispersed phase, is coupled to a fluid equation for the background gas. The coupling is given by the drag force exerted by the gas on the dispersed phase. Within this class, we shall analyse the case where the kinetic equation is a Vlasov-type equation and the fluid equation are of Stokes or Navier-Stokes type. We shall discuss the validation problem for this class of models, i.e. the derivation of the equations of the model from evolution equations given on a scale which can be considered ”microscopic” with respect to the final one; in particular we shall analyse the difficulty of dealing with a particle model for the system ([1, 2]), and the (formal) derivation of the Vlasov-(Navier-)Stokes model from a multiphase Boltzmann model in suitables asymptotics ([3]). The results have been obtained in collaboration with E.Bernard, L.Desvillettes, F.Golse.
2016
Modelling, spray, validation of hydrodynamical models
978-88-6493-035-0
Ricci, V. (2016). Validation of models for sprays. In L. Bonaventura, L. Formaggia, E. Miglio, N.S. Parolini, C. Vergara (a cura di), PROCEEDINGS OF SIMAI 2016 THE XIII BIANNUAL CONGRESS OF SIMAI 13-16 SEPTEMBER 2016 MILAN, ITALY (pp. 70-70).
File in questo prodotto:
File Dimensione Formato  
ricci_symposium.pdf

accesso aperto

Dimensione 35.08 kB
Formato Adobe PDF
35.08 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/201819
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact