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Isotropic linear constitutive relations for nonsimple fluids

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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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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica “Niccolò Tartaglia”, Università Cattolica del Sacro Cuore, Via dei Musei 41, 25121, Brescia, Italy

    Alessandro Musesti

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  1. Alessandro Musesti
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Correspondence to Alessandro Musesti.

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Musesti, A. Isotropic linear constitutive relations for nonsimple fluids. Acta Mech 204, 81–88 (2009). https://doi.org/10.1007/s00707-008-0050-6

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  • DOI: https://doi.org/10.1007/s00707-008-0050-6

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