Isotropic linear constitutive relations for nonsimple fluids

Alessandro Musesti

doi:10.1007/s00707-008-0050-6

Isotropic linear constitutive relations for nonsimple fluids

Alessandro Musesti

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

6 Citations (Scopus)

Abstract

We investigate the general constitutive relation of an isotropic linear fluid when the stress tensor can depend on higher-order spatial gradients of the velocity. We apply the results to the case of second-grade and third-grade fluids, be they compressible or not. However, the expression of the general isotropic tensor can be a matter of interest also for other classes of nonsimple material.

Original language	English
Pages (from-to)	81-88
Number of pages	8
Journal	Acta Mechanica
DOIs	https://doi.org/10.1007/s00707-008-0050-6
Publication status	Published - 2009

Keywords

Continuum mechanics
Nonsimple fluids

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10.1007/s00707-008-0050-6

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title = "Isotropic linear constitutive relations for nonsimple fluids",

abstract = "We investigate the general constitutive relation of an isotropic linear fluid when the stress tensor can depend on higher-order spatial gradients of the velocity. We apply the results to the case of second-grade and third-grade fluids, be they compressible or not. However, the expression of the general isotropic tensor can be a matter of interest also for other classes of nonsimple material.",

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language = "English",

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journal = "Acta Mechanica",

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T1 - Isotropic linear constitutive relations for nonsimple fluids

AU - Musesti, Alessandro

PY - 2009

Y1 - 2009

N2 - We investigate the general constitutive relation of an isotropic linear fluid when the stress tensor can depend on higher-order spatial gradients of the velocity. We apply the results to the case of second-grade and third-grade fluids, be they compressible or not. However, the expression of the general isotropic tensor can be a matter of interest also for other classes of nonsimple material.

AB - We investigate the general constitutive relation of an isotropic linear fluid when the stress tensor can depend on higher-order spatial gradients of the velocity. We apply the results to the case of second-grade and third-grade fluids, be they compressible or not. However, the expression of the general isotropic tensor can be a matter of interest also for other classes of nonsimple material.

KW - Continuum mechanics

KW - Nonsimple fluids

KW - Continuum mechanics

KW - Nonsimple fluids

UR - http://hdl.handle.net/10807/10502

U2 - 10.1007/s00707-008-0050-6

DO - 10.1007/s00707-008-0050-6

M3 - Article

SN - 0001-5970

SP - 81

EP - 88

JO - Acta Mechanica

JF - Acta Mechanica

ER -

Isotropic linear constitutive relations for nonsimple fluids

Abstract

Keywords

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