The structure of non-equilibrium shocks in relaxing media

R. W. Lardner; G. R. Nicklason

doi:10.1016/0165-2125(86)90022-3

The structure of non-equilibrium shocks in relaxing media

R. W. Lardner^*
, G. R. Nicklason

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

2 Scopus citations

Abstract

The structure of the shock layers that form in high amplitude acoustic waves in relaxing media is analyzed for a general relaxation modulus. The inner and outer expansions are matched to second order and a closed form expression is obtained for Lighthill's shock displacement due to diffusion. The asymptotic behavior of the shock solution at the edges of the shock layer is also analyzed and conditions obtained for the existence of a fully relaxed shock.

Original language	English
Pages (from-to)	159-174
Number of pages	16
Journal	Wave Motion
Volume	8
Issue number	2
DOIs	https://doi.org/10.1016/0165-2125(86)90022-3
State	Published - Mar 1986

ASJC Scopus subject areas

Modeling and Simulation
General Physics and Astronomy
Computational Mathematics
Applied Mathematics

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10.1016/0165-2125(86)90022-3

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@article{6abd2f188e9941889cf9bcb13c869037,

title = "The structure of non-equilibrium shocks in relaxing media",

abstract = "The structure of the shock layers that form in high amplitude acoustic waves in relaxing media is analyzed for a general relaxation modulus. The inner and outer expansions are matched to second order and a closed form expression is obtained for Lighthill's shock displacement due to diffusion. The asymptotic behavior of the shock solution at the edges of the shock layer is also analyzed and conditions obtained for the existence of a fully relaxed shock.",

author = "Lardner, \{R. W.\} and Nicklason, \{G. R.\}",

year = "1986",

month = mar,

doi = "10.1016/0165-2125(86)90022-3",

language = "English",

volume = "8",

pages = "159--174",

journal = "Wave Motion",

issn = "0165-2125",

publisher = "Elsevier BV",

number = "2",

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T1 - The structure of non-equilibrium shocks in relaxing media

AU - Lardner, R. W.

AU - Nicklason, G. R.

PY - 1986/3

Y1 - 1986/3

N2 - The structure of the shock layers that form in high amplitude acoustic waves in relaxing media is analyzed for a general relaxation modulus. The inner and outer expansions are matched to second order and a closed form expression is obtained for Lighthill's shock displacement due to diffusion. The asymptotic behavior of the shock solution at the edges of the shock layer is also analyzed and conditions obtained for the existence of a fully relaxed shock.

AB - The structure of the shock layers that form in high amplitude acoustic waves in relaxing media is analyzed for a general relaxation modulus. The inner and outer expansions are matched to second order and a closed form expression is obtained for Lighthill's shock displacement due to diffusion. The asymptotic behavior of the shock solution at the edges of the shock layer is also analyzed and conditions obtained for the existence of a fully relaxed shock.

UR - https://www.scopus.com/pages/publications/0022679193

U2 - 10.1016/0165-2125(86)90022-3

DO - 10.1016/0165-2125(86)90022-3

M3 - Article

AN - SCOPUS:0022679193

SN - 0165-2125

VL - 8

SP - 159

EP - 174

JO - Wave Motion

JF - Wave Motion

IS - 2

ER -

The structure of non-equilibrium shocks in relaxing media

Abstract

ASJC Scopus subject areas

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