On the Bingham Flow in a Thin Y-Like Shaped Structure

被引:4
|
作者
Bunoiu, Renata [1 ]
Gaudiello, Antonio [2 ]
机构
[1] Univ Lorraine, IECL, CNRS, 3 Rue Augustin Fresnel, F-57000 Metz, France
[2] Univ Campania Luigi Vanvitelli, Dipartimento Matemat & Fis, Viale Abramo Lincoln 5, I-81100 Caserta, Italy
关键词
Non-Newtonian fluid; junctions; thin structures; ASYMPTOTIC DECOMPOSITION; FLUID; HOMOGENIZATION; EQUATIONS; BEHAVIOR; JUNCTION; DOMAINS;
D O I
10.1007/s00021-021-00657-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the steady Bingham flow in a two-dimensional thin Y-like shaped structure, with no-slip boundary conditions and under the action of given external forces. After passage to the limit with respect to a small parameter related to the thickness of the domain, we obtain three uncoupled problems. Each of these problems describes an anisotropic flow, corresponding to a lower-dimensional "Bingham-like" constitutive law. These results are in accordance with the engineering models.
引用
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页数:17
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