Unsteady Flow of Shear-Thinning non-Newtonian Incompressible Fluid Through a Twin-Screw Extruder

被引：3
|
作者：
Chen, Ya-zhou [1 ,2 ]
He, Qiao-lin [3 ]
Shi, Xiao-ding [2 ]
Wang, Teng [4 ]
Zhang, Bing [5 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] Beijing Univ Chem Technol, Coll Sci, Beijing 100029, Peoples R China
[3] Sichuan Univ, Coll Math, Chengdu 610065, Sichuan, Peoples R China
[4] Beijing Forestry Univ, Coll Sci, Beijing 100083, Peoples R China
[5] Beijing Univ Chem Technol, CMEE, Beijing 100029, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2016年 / 32卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Shear-thinning incompressible fluid; mixed boundary problem; twin-screw extruder; NAVIER-STOKES EQUATIONS; RIGID BODIES; WEAK SOLUTIONS; VISCOUS-FLUID; MOTION; EXISTENCE;
D O I：
10.1007/s10255-016-0568-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The unsteady flow of viscous incompressible shear-thinning non-Newtonian fluid with mixed boundary is investigated. The boundary condition on the outflow is the modified natural boundary condition, it contains the additional nonlinear term, which enables us to control the kinetic energy of the backward flow. The global existence of weak solution is proved. The fictitious domain method which consists in filling the moving rigid screws with the surrounding fluid and taking into account the boundary conditions on these bodies by introducing a well-chosen distribution of boundary forces is used.
引用
收藏
页码：423 / 436
页数：14
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