Wave Propagation in an Ideal Gas: First and Second Sound

Vincenzo Molinari; Domiziano Mostacci; Barry D Ganapol

doi:10.1080/23324309.2016.1157494

Wave Propagation in an Ideal Gas: First and Second Sound

Vincenzo Molinari, Domiziano Mostacci, Barry D Ganapol

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

ABSTRACT: Propagation of sound waves through an ideal gas is studied in the framework of kinetic theory, starting from the integral representation of the Boltzmann Equation (BE). The distribution function is calculated and used to obtain the dispersion relation of density waves. The parallel existence of temperature waves (in some contexts referred to as second sound) is also part of this investigation. Temperature waves are found to exist; the phase difference between density and temperature waves is determined.

Original language	English (US)
Pages (from-to)	268-274
Number of pages	7
Journal	Journal of Computational and Theoretical Transport
Volume	45
Issue number	4
DOIs	https://doi.org/10.1080/23324309.2016.1157494
State	Published - Jun 6 2016

Keywords

Integral form of the Boltzmann equation
density waves
second sound
temperature waves

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Transportation
General Physics and Astronomy
Applied Mathematics

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10.1080/23324309.2016.1157494

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abstract = "ABSTRACT: Propagation of sound waves through an ideal gas is studied in the framework of kinetic theory, starting from the integral representation of the Boltzmann Equation (BE). The distribution function is calculated and used to obtain the dispersion relation of density waves. The parallel existence of temperature waves (in some contexts referred to as second sound) is also part of this investigation. Temperature waves are found to exist; the phase difference between density and temperature waves is determined.",

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AU - Ganapol, Barry D

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Y1 - 2016/6/6

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AB - ABSTRACT: Propagation of sound waves through an ideal gas is studied in the framework of kinetic theory, starting from the integral representation of the Boltzmann Equation (BE). The distribution function is calculated and used to obtain the dispersion relation of density waves. The parallel existence of temperature waves (in some contexts referred to as second sound) is also part of this investigation. Temperature waves are found to exist; the phase difference between density and temperature waves is determined.

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Wave Propagation in an Ideal Gas: First and Second Sound

Abstract

Keywords

ASJC Scopus subject areas

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