On steady motion of viscoelastic fluid of Oldroyd type (Q2921153)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On steady motion of viscoelastic fluid of Oldroyd type |
scientific article; zbMATH DE number 6349850
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On steady motion of viscoelastic fluid of Oldroyd type |
scientific article; zbMATH DE number 6349850 |
Statements
On steady motion of viscoelastic fluid of Oldroyd type (English)
0 references
30 September 2014
0 references
non-Newtonian fluids
0 references
viscoelastic media
0 references
Oldroyd model
0 references
Navier slip condition
0 references
channel flow
0 references
The author considers steady flow of a viscoelastic fluid of Oldroyd type with the regularized Jaumann derivative. Assuming the slip boundary conditions on the fixed walls, the author proves the existence of a solution to the corresponding system of partial differential equations. Additionally, he shows that the set of solutions is sequentially weakly closed. The proof is based on the fact that it is possible to obtain a priori estimates for the velocity and the elastic component of the shear stress.NEWLINENEWLINENext, he studies the flow of this fluid in an infinite channel with flat walls under slip boundary conditions and constructs analytically the solution to this problem.
0 references
