Doppler effect described by the solutions of the Cattaneo telegraph equation

Yuriy Povstenko; Martin Ostoja-Starzewski

doi:10.1007/s00707-020-02860-y

Doppler effect described by the solutions of the Cattaneo telegraph equation

Yuriy Povstenko, Martin Ostoja-Starzewski

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

Abstract

The Cattaneo telegraph equation for temperature with moving time-harmonic source is studied on the line and the half-line domain. The Laplace and Fourier transforms are used. Expressions which show the wave fronts and elucidate the Doppler effect are obtained. Several particular cases of the considered problem including the heat conduction equation and the wave equation are investigated. The quasi-steady-state solutions are also examined for the case of non-moving time-harmonic source and time-harmonic boundary condition for temperature.

Original language	English (US)
Pages (from-to)	725-740
Number of pages	16
Journal	Acta Mechanica
Volume	232
Issue number	2
DOIs	https://doi.org/10.1007/s00707-020-02860-y
State	Published - Feb 2021

ASJC Scopus subject areas

Computational Mechanics
Mechanical Engineering

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10.1007/s00707-020-02860-y

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abstract = "The Cattaneo telegraph equation for temperature with moving time-harmonic source is studied on the line and the half-line domain. The Laplace and Fourier transforms are used. Expressions which show the wave fronts and elucidate the Doppler effect are obtained. Several particular cases of the considered problem including the heat conduction equation and the wave equation are investigated. The quasi-steady-state solutions are also examined for the case of non-moving time-harmonic source and time-harmonic boundary condition for temperature.",

author = "Yuriy Povstenko and Martin Ostoja-Starzewski",

note = "Funding Information: MO-S was partially supported by the National Institutes of Health under award number R01EB029766. Publisher Copyright: {\textcopyright} 2020, The Author(s).",

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Doppler effect described by the solutions of the Cattaneo telegraph equation

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