A note on the steady Poiseuille flow of Carreau-Yasuda fluid
Analysis of PDEs
2023-03-21 v2 Fluid Dynamics
Abstract
The steady Poiseuille flow of Carreau-Yasuda fluid in a pipe, caused by constant pressure gradient, is studied theoretically. It is proved that at some values of the viscosity model parameters, the problem has a classical solution, while at others - generalized solution. For the latter, a necessary and sufficient condition is found, which depends on the pressure gradient and Carreau-Yasuda model parameters.
Keywords
Cite
@article{arxiv.2201.01237,
title = {A note on the steady Poiseuille flow of Carreau-Yasuda fluid},
author = {Nikolay Kutev and Sonia Tabakova},
journal= {arXiv preprint arXiv:2201.01237},
year = {2023}
}