Poiseuille flow of Carreau‐Yasuda fluid at variable pressure gradient

Nilolay Kutev, Sonia Tabakova
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Abstract

The unsteady Poiseuille flow of Carreau‐Yasuda fluid in a pipe, caused by a variable pressure gradient, is studied theoretically. As a special case, the steady flow is considered separately. It is proved that at some values of the viscosity model parameters, the problem has a generalized solution, while at others ‐ a classical solution. For the latter, a necessary and sufficient condition is found, which depends on the maximum pressure gradient and the Carreau‐Yasuda model parameters.
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压力梯度可变时的 Carreau-Yasuda 流体的 Poiseuille 流动
本文从理论上研究了由可变压力梯度引起的 Carreau-Yasuda 流体在管道中的非稳态 Poiseuille 流动。作为特例,还单独考虑了稳定流。研究证明,在粘度模型参数的某些值上,问题有广义解,而在其他值上则有经典解。对于后者,找到了一个必要和充分条件,它取决于最大压力梯度和 Carreau-Yasuda 模型参数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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