A review of implicit algebraic constitutive relations for describing the response of nonlinear fluids
We review the class of implicit algebraic constitutive relations for fluids which includes in its ambit those whose material properties depend on the invariants of the stress, the symmetric part of the velocity gradient, as well as their mixed invariants. Such constitutive relations can describe the...
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| Language: | English |
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Académie des sciences
2023-06-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.180/ |
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| author | Rajagopal, Kumbakonam |
| author_facet | Rajagopal, Kumbakonam |
| author_sort | Rajagopal, Kumbakonam |
| collection | DOAJ |
| description | We review the class of implicit algebraic constitutive relations for fluids which includes in its ambit those whose material properties depend on the invariants of the stress, the symmetric part of the velocity gradient, as well as their mixed invariants. Such constitutive relations can describe the response of complex fluids whose material properties depend on the mechanical pressure, shear rate, etc. The class of models under consideration can describe the non-monotone relationship between the shear stress and the shear rate observed in experiments on colloids, as well as other novel response characteristics of non-Newtonian fluids. Constitutive relations for power-law fluids, generalized Stokesian fluids and Piezo-viscous fluids are special sub-classes of the class of fluids considered herein. |
| format | Article |
| id | doaj-art-2dad6ee449b743008015cce9a225a185 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-2dad6ee449b743008015cce9a225a1852025-02-07T13:46:20ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-06-01351S170372010.5802/crmeca.18010.5802/crmeca.180A review of implicit algebraic constitutive relations for describing the response of nonlinear fluidsRajagopal, Kumbakonam0Department of Mechanical Engineering, Texas A& M University, College Station, TX 77845, United StatesWe review the class of implicit algebraic constitutive relations for fluids which includes in its ambit those whose material properties depend on the invariants of the stress, the symmetric part of the velocity gradient, as well as their mixed invariants. Such constitutive relations can describe the response of complex fluids whose material properties depend on the mechanical pressure, shear rate, etc. The class of models under consideration can describe the non-monotone relationship between the shear stress and the shear rate observed in experiments on colloids, as well as other novel response characteristics of non-Newtonian fluids. Constitutive relations for power-law fluids, generalized Stokesian fluids and Piezo-viscous fluids are special sub-classes of the class of fluids considered herein.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.180/implicit constitutive relationscolloidsstress power-law fluidsnon-monotone stress-shear rate relationsmonotone graphs |
| spellingShingle | Rajagopal, Kumbakonam A review of implicit algebraic constitutive relations for describing the response of nonlinear fluids Comptes Rendus. Mécanique implicit constitutive relations colloids stress power-law fluids non-monotone stress-shear rate relations monotone graphs |
| title | A review of implicit algebraic constitutive relations for describing the response of nonlinear fluids |
| title_full | A review of implicit algebraic constitutive relations for describing the response of nonlinear fluids |
| title_fullStr | A review of implicit algebraic constitutive relations for describing the response of nonlinear fluids |
| title_full_unstemmed | A review of implicit algebraic constitutive relations for describing the response of nonlinear fluids |
| title_short | A review of implicit algebraic constitutive relations for describing the response of nonlinear fluids |
| title_sort | review of implicit algebraic constitutive relations for describing the response of nonlinear fluids |
| topic | implicit constitutive relations colloids stress power-law fluids non-monotone stress-shear rate relations monotone graphs |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.180/ |
| work_keys_str_mv | AT rajagopalkumbakonam areviewofimplicitalgebraicconstitutiverelationsfordescribingtheresponseofnonlinearfluids AT rajagopalkumbakonam reviewofimplicitalgebraicconstitutiverelationsfordescribingtheresponseofnonlinearfluids |