Squeeze Flow of Stress Power Law Fluids

被引:0
|
作者
Fusi, Lorenzo [1 ]
Ballotti, Andrea [1 ]
机构
[1] Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-a, I-50134 Florence, Italy
关键词
squeeze flow; power stress fluids; asymptotic expansion; lubrication flow;
D O I
10.3390/fluids6060194
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper, we studied the squeeze flow between circular disks of a new class of fluids defined by an implicit relation referred to as stress power law fluids. The constitutive response of these fluids was written expressing the symmetric part of the velocity gradient as a tensorial function of the Cauchy stress. We assumed that the aspect ratio between the gap separating the disks and the radius was small so that a lubrication expansion could be adopted. We wrote the general problem and looked for a solution that could be written in terms of the small aspect ratio parameter. We obtained a sequence of problems that could be solved iteratively at each order, and we focused on the leading and first order, deriving explicit expressions for the velocity field, stress, and pressure.
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页数:20
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