Geodesic
Steady-state thermal Herschel-Bulkley flow with Tresca's friction law
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider a mathematical model which describes the steady-state flow of a Herschel-Bulkley fluid whose the consistency and the yield limit depend on the temperature and with mixed boundary conditions, including a frictional boundary condition. We derive a weak formulation of the coupled system of motion and energy equations which consists of a variational inequality for the velocity field. We prove the existence of weak solutions. In the asymptotic limit case of a high thermal conductivity, the temperature becomes a constant solving an implicit total energy equation involving the consistency function and the yield limit.
Classification : 35J85, 76D03, 80A20
Keywords: Herschel-Bulkley fluid, thermal friction law, variational inequality, weak solution 
@article{EJDE_2010__2010__a13,
     author = {Messelmi, Farid and Merouani, Boubakeur and Bouzeghaya, Fouzia},
     title = {Steady-state thermal {Herschel-Bulkley} flow with {Tresca's} friction law},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a13/}
}
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Messelmi, Farid; Merouani, Boubakeur; Bouzeghaya, Fouzia. Steady-state thermal Herschel-Bulkley flow with Tresca's friction law. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a13/