| Title |
Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition |
| Authors |
Panassenko, Grigory ; Pileckas, Konstantinas ; Vernescu, Bogdan |
| DOI |
10.1051/mmnp/2022005 |
| Full Text |
|
| Is Part of |
Mathematical modelling of natural phenomena.. Paris : EDP Sciences. 2022, vol. 17, art. no. 18, p. [1-36].. ISSN 0973-5348. eISSN 1760-6101 |
| Keywords [eng] |
Non-Newtonian flow ; strain rate dependent viscosity ; asymptotic approximation ; quasi-Poiseuille flows ; boundary layers ; method of asymptotic partial decomposition |
| Abstract [eng] |
The steady state non-Newtonian flow, with strain rate dependent viscosity in a thin tube structure, with no slip boundary condition, is considered. Applying the Banach fixed point theorem we prove the existence and uniqueness of a solution. An asymptotic approximation is constructed and justified by an error estimate. |
| Published |
Paris : EDP Sciences |
| Type |
Journal article |
| Language |
English |
| Publication date |
2022 |
| CC license |
|
