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.
Musesti, A., Isotropic linear constitutive relations for nonsimple fluids, <<ACTA MECHANICA>>, 2009; (Aprile): 81-88. [doi:10.1007/s00707-008-0050-6] [http://hdl.handle.net/10807/10502]
Isotropic linear constitutive relations for nonsimple fluids
Musesti
2009
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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