Mach Fronts in Random Media with Fractal and Hurst Effects

An investigation of transient second sound phenomena due to moving heat sources on planar random media is conducted. The spatial material randomness of the relaxation time is modeled by Cauchy or Dagum random fields allowing for decoupling of fractal and Hurst effects. The Maxwell–Cattaneo model is...

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Detalles Bibliográficos
Autores principales: Ran, Junren, Ostoja-Starzewski, Martin, Povstenko, Yuriy
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9918304/
https://www.ncbi.nlm.nih.gov/pubmed/36779032
http://dx.doi.org/10.3390/fractalfract5040229
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author Ran, Junren
Ostoja-Starzewski, Martin
Povstenko, Yuriy
author_facet Ran, Junren
Ostoja-Starzewski, Martin
Povstenko, Yuriy
author_sort Ran, Junren
collection PubMed
description An investigation of transient second sound phenomena due to moving heat sources on planar random media is conducted. The spatial material randomness of the relaxation time is modeled by Cauchy or Dagum random fields allowing for decoupling of fractal and Hurst effects. The Maxwell–Cattaneo model is solved by a second-order central differencing. The resulting stochastic fluctuations of Mach wedges are examined and compared to unperturbed Mach wedges resulting from the heat source traveling in a homogeneous domain. All the examined cases are illustrated by simulation movies linked to this paper.
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spelling pubmed-99183042023-02-10 Mach Fronts in Random Media with Fractal and Hurst Effects Ran, Junren Ostoja-Starzewski, Martin Povstenko, Yuriy Fractal Fract Article An investigation of transient second sound phenomena due to moving heat sources on planar random media is conducted. The spatial material randomness of the relaxation time is modeled by Cauchy or Dagum random fields allowing for decoupling of fractal and Hurst effects. The Maxwell–Cattaneo model is solved by a second-order central differencing. The resulting stochastic fluctuations of Mach wedges are examined and compared to unperturbed Mach wedges resulting from the heat source traveling in a homogeneous domain. All the examined cases are illustrated by simulation movies linked to this paper. 2021-12 2021-11-18 /pmc/articles/PMC9918304/ /pubmed/36779032 http://dx.doi.org/10.3390/fractalfract5040229 Text en https://creativecommons.org/licenses/by/4.0/This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Ran, Junren
Ostoja-Starzewski, Martin
Povstenko, Yuriy
Mach Fronts in Random Media with Fractal and Hurst Effects
title Mach Fronts in Random Media with Fractal and Hurst Effects
title_full Mach Fronts in Random Media with Fractal and Hurst Effects
title_fullStr Mach Fronts in Random Media with Fractal and Hurst Effects
title_full_unstemmed Mach Fronts in Random Media with Fractal and Hurst Effects
title_short Mach Fronts in Random Media with Fractal and Hurst Effects
title_sort mach fronts in random media with fractal and hurst effects
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9918304/
https://www.ncbi.nlm.nih.gov/pubmed/36779032
http://dx.doi.org/10.3390/fractalfract5040229
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AT ostojastarzewskimartin machfrontsinrandommediawithfractalandhursteffects
AT povstenkoyuriy machfrontsinrandommediawithfractalandhursteffects

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