Self-Similar Analytic Solution of the Two-Dimensional Navier-Stokes Equation with a Non-Newtonian Type of Viscosity
| Author Name | Affiliation |
|---|---|
| Imre Ferenc Barna | Wigner Research Center of the Hungarian Academy of Sciences Konkoly-Thege ´ut 29-33, 1121 Budapest, Hungary |
| Author Name | Affiliation |
|---|---|
| Gabriella Bognar | University of Miskolc 3515 Miskolc-Egyetemv´aros, Hungary |
| Author Name | Affiliation |
|---|---|
| Krisztian Hriczo | University of Miskolc 3515 Miskolc-Egyetemv´aros, Hungary |
Abstract
We investigate Navier-Stokes (NS) and the continuity equations in Cartesian coordinates and Eulerian description for the two dimensional incompressible nonNewtonian fluids. Due to the non-Newtonian viscosity we consider the Ladyzenskaya model with a non-linear velocity dependent stress tensor. The key idea is the multidimensional generalization of the well-known self-similar Ansatz, which has already been used for non-compressible and compressible viscous flow studies. Geometrical interpretations of the trial function are also discussed. Our recent results are compared to the former Newtonian ones.
Keywords:
self-similar solution,Ladyzenskaya model,non-Newtonian fluidHow to Cite
Share
License
Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under aCreative Commons Attribution 4.0 International License.
View article in other formats
CrossMark check
Published
Issue
Section
Copyright
Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under aCreative Commons Attribution 4.0 International License.