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Analysis of sound propagation through a binary mixture of rarefied gases via equations of continuum mechanics

Grant number: 16/04384-6
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): June 01, 2016
Effective date (End): May 31, 2017
Field of knowledge:Physical Sciences and Mathematics - Physics - Physics of Fluids, Plasma Physics and Electrical Discharge
Principal researcher:Denize Kalempa
Grantee:Julio Antonio Conti Silva
Home Institution: Escola de Engenharia de Lorena (EEL). Universidade de São Paulo (USP). Lorena , SP, Brazil


The aim of this project is to develop a theoretical study of the problem of sound propagation through a binary mixture of monoatomic rarefied gases via equations of continuum mechanics (Navier-Stokes, Fourier and Fick), which are the basis of the classical theory of sound propagation in gases. The macroscopic characteristics of the gaseous mixture, e.g. density and temperature deviations from its corresponding values in the equilibrium state, hydrodynamic velocity, etc., induced by the sound waves will be determined in a wide range of sound frequency and Knudsen number, defined as the ratio between the mean free path and a characteristic length of the gaseous system and characterizes the degree of gas rarefaction. The results obtained will be compared to those obtained via numerical solution of the Boltzmann equation, as well as experimental data obtained in the literature.

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
KALEMPA, DENIZE; SHARIPOV, FELIX; SILVA, JULIO CONTI. Sound waves in gaseous mixtures induced by vibro-thermal excitation at arbitrary rarefaction and sound frequency. VACUUM, v. 159, p. 82-98, JAN 2019. Web of Science Citations: 1.

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