Flow of micropolar and viscoplastic fluids in a Hele-Shaw cell

被引:0
作者
V. V. Shelukhin
V. V. Neverov
机构
[1] Russian Academy of Sciences,Lavrent’ev Institute of Hydrodynamics, Siberian Branch
[2] Novosibirsk State University,undefined
来源
Journal of Applied Mechanics and Technical Physics | 2014年 / 55卷
关键词
micropolar viscoplastic fluid; yield stress; Hele-Shaw cell; extension of Darcy’s law;
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学科分类号
摘要
A generalization of Darcy’s law relating the velocity averaged over the transverse coordinate and the pressure gradient is obtained for flows in a thin layer. A nonlinear Darcy’s law with a limiting gradient is derived taking into account microrotations and the yield stress. It is shown that the micropolarity of fluids manifests itself as an increase in the apparent viscosity and the limiting pressure gradient. A generalization of Darcy’s law for the case of pseudo-plastic and dilatant Herschel-Bulkley fluids is obtained.
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页码:905 / 916
页数:11
相关论文
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