Ultrasonic radiative transfer in polycrystalline media: Effects of a fluid-solid interface

Joseph A. Turner, Richard L. Weaver

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

In previous derivations of the ultrasonic radiative transfer equation (URTE) for the modeling of multiply scattered diffuse ultrasound in polycrystalline media, the boundary conditions appropriate to experiments performed in a water bath were not used. In the present work, this fluid-solid boundary condition is discussed as it applies to the URTE. An interpolation scheme is developed that is consistent with the discrete ordinates method used for the solution of the URTE. Steady-state and time-dependent results are presented for the solution of the URTE with a fluid-solid boundary condition. The steady-state results show that diffusive behavior is exhibited nearer the specimen surface than before. The time-dependent results show the qualitative change one might expect from such a boundary condition.

Original languageEnglish (US)
Pages (from-to)2801-2808
Number of pages8
JournalJournal of the Acoustical Society of America
Volume98
Issue number5
DOIs
StatePublished - Nov 1995

Fingerprint

radiative transfer
ultrasonics
boundary conditions
fluids
interpolation
baths
derivation
Media Effects
Equations
Boundary Conditions
water

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

Ultrasonic radiative transfer in polycrystalline media : Effects of a fluid-solid interface. / Turner, Joseph A.; Weaver, Richard L.

In: Journal of the Acoustical Society of America, Vol. 98, No. 5, 11.1995, p. 2801-2808.

Research output: Contribution to journalArticle

@article{aadf0d61bb51400b8c74577c878847a7,
title = "Ultrasonic radiative transfer in polycrystalline media: Effects of a fluid-solid interface",
abstract = "In previous derivations of the ultrasonic radiative transfer equation (URTE) for the modeling of multiply scattered diffuse ultrasound in polycrystalline media, the boundary conditions appropriate to experiments performed in a water bath were not used. In the present work, this fluid-solid boundary condition is discussed as it applies to the URTE. An interpolation scheme is developed that is consistent with the discrete ordinates method used for the solution of the URTE. Steady-state and time-dependent results are presented for the solution of the URTE with a fluid-solid boundary condition. The steady-state results show that diffusive behavior is exhibited nearer the specimen surface than before. The time-dependent results show the qualitative change one might expect from such a boundary condition.",
author = "Turner, {Joseph A.} and Weaver, {Richard L.}",
year = "1995",
month = "11",
doi = "10.1121/1.413245",
language = "English (US)",
volume = "98",
pages = "2801--2808",
journal = "Journal of the Acoustical Society of America",
issn = "0001-4966",
publisher = "Acoustical Society of America",
number = "5",

}

TY - JOUR

T1 - Ultrasonic radiative transfer in polycrystalline media

T2 - Effects of a fluid-solid interface

AU - Turner, Joseph A.

AU - Weaver, Richard L.

PY - 1995/11

Y1 - 1995/11

N2 - In previous derivations of the ultrasonic radiative transfer equation (URTE) for the modeling of multiply scattered diffuse ultrasound in polycrystalline media, the boundary conditions appropriate to experiments performed in a water bath were not used. In the present work, this fluid-solid boundary condition is discussed as it applies to the URTE. An interpolation scheme is developed that is consistent with the discrete ordinates method used for the solution of the URTE. Steady-state and time-dependent results are presented for the solution of the URTE with a fluid-solid boundary condition. The steady-state results show that diffusive behavior is exhibited nearer the specimen surface than before. The time-dependent results show the qualitative change one might expect from such a boundary condition.

AB - In previous derivations of the ultrasonic radiative transfer equation (URTE) for the modeling of multiply scattered diffuse ultrasound in polycrystalline media, the boundary conditions appropriate to experiments performed in a water bath were not used. In the present work, this fluid-solid boundary condition is discussed as it applies to the URTE. An interpolation scheme is developed that is consistent with the discrete ordinates method used for the solution of the URTE. Steady-state and time-dependent results are presented for the solution of the URTE with a fluid-solid boundary condition. The steady-state results show that diffusive behavior is exhibited nearer the specimen surface than before. The time-dependent results show the qualitative change one might expect from such a boundary condition.

UR - http://www.scopus.com/inward/record.url?scp=0028866037&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028866037&partnerID=8YFLogxK

U2 - 10.1121/1.413245

DO - 10.1121/1.413245

M3 - Article

AN - SCOPUS:0028866037

VL - 98

SP - 2801

EP - 2808

JO - Journal of the Acoustical Society of America

JF - Journal of the Acoustical Society of America

SN - 0001-4966

IS - 5

ER -