| Title |
Numerical study of the equation on the graph for the steady state non-Newtonian flow in thin tube structure |
| Authors |
Kozulinas, Nikolajus ; Panassenko, Grigory Petrovitch ; Pileckas, Konstantinas ; Šumskas, Vytenis |
| DOI |
10.3846/mma.2023.18311 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Vilnius TECH. 2023, vol. 28, iss. 4, p. 581-595.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
non-Newtonian flow ; strain rate dependent viscosity ; asymptotic dimension reduction ; quasi-Poiseuille flows ; equation on the graph |
| Abstract [eng] |
The dimension reduction for the viscous flows in thin tube structures leads to equations on the graph for the macroscopic pressure with Kirchhoff type junction conditions in the vertices. Non-Newtonian rheology of the flow generates nonlinear equations on the graph. A new numerical method for second order nonlinear differential equations on the graph is introduced and numerically tested. |
| Published |
Vilnius : Vilnius TECH |
| Type |
Journal article |
| Language |
English |
| Publication date |
2023 |
| CC license |
|
