Air pollution is an evident and dangerous contamination form. In particular in this paper, we describe a mathematical model for the study of pollution due to the burning of fuels, close to the earth's surface. So, following the phase-field approach, we consider a mixture of two non-isothermal compressible Euler fluids whose mixing is studied by a generalized Cahn-Hilliard theory under suitable constitutive equations. For this model we show the compatibility with the Laws of Thermodynamics, working with the internal (mechanical, heat and chemical) powers. Finally, we implement our model with non-homogeneous boundary conditions, describing the effect of pollutant emission sources like plumes of smoke from the stacks on the earth surface.

A non-isothermal compressible Cahn-Hilliard fluid model for air pollution phenomena

Franca Franchi;Barbara Lazzari;Roberta Nibbi
2018

Abstract

Air pollution is an evident and dangerous contamination form. In particular in this paper, we describe a mathematical model for the study of pollution due to the burning of fuels, close to the earth's surface. So, following the phase-field approach, we consider a mixture of two non-isothermal compressible Euler fluids whose mixing is studied by a generalized Cahn-Hilliard theory under suitable constitutive equations. For this model we show the compatibility with the Laws of Thermodynamics, working with the internal (mechanical, heat and chemical) powers. Finally, we implement our model with non-homogeneous boundary conditions, describing the effect of pollutant emission sources like plumes of smoke from the stacks on the earth surface.
Mauro Fabrizio, Franca Franchi, Barbara Lazzari, Roberta Nibbi
File in questo prodotto:
File Dimensione Formato  
PhysD2018postprint.pdf

embargo fino al 19/06/2020

Tipo: Postprint
Licenza: Licenza per Accesso Aperto. Creative Commons Attribuzione - Non commerciale - Non opere derivate (CCBYNCND)
Dimensione 3.76 MB
Formato Adobe PDF
3.76 MB 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/11585/654346
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 6
social impact