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arXiv 2201.01237math.APphysics.flu-dyn

A note on the steady Poiseuille flow of Carreau-Yasuda fluid

Nikolay Kutev, Sonia Tabakova

英文摘要:

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.

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