Doppler effect described by the solutions of the Cattaneo telegraph equation

Yuriy Povstenko, Martin Ostoja-Starzewski

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
JournalActa Mechanica
DOIs
StateAccepted/In press - 2020

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanical Engineering

Fingerprint Dive into the research topics of 'Doppler effect described by the solutions of the Cattaneo telegraph equation'. Together they form a unique fingerprint.

Cite this