On the characterization of constitutive equations for third grade viscous Korteweg fluids
| Autor: | Gorgone, Matteo, Rogolino, Patrizia |
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| Rok vydání: | 2021 |
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| Zdroj: | Phys. Fluids 33, 043107 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1063/5.0046595 |
| Popis: | We consider a model of a third grade viscous Korteweg--type fluid in three space dimensions, and apply the extended Liu procedure in order to explicitly solve the constraints imposed by the entropy principle on the non--local constitutive relations. We detail the algorithm we use, and are able to characterize the material functions involved in the constitutive equations. In a natural way, the application of the extended Liu procedure allows us to recover an extra term in the entropy flux, preserving all the features of third grade viscous Korteweg--type fluids. Moreover, a further constraint, in order to avoid that at equilibrium only very special phase boundaries are admissible, is investigated. Comment: 25 pages. arXiv admin note: text overlap with arXiv:2108.03237 |
| Databáze: | arXiv |
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