Elliptical flows perturbed by shear waves

被引：2
作者：
Pucci, Edvige [1 ]
Saccomandi, Giuseppe [2 ]
机构：
[1] Univ Perugia, Dipartimento Ingn, I-06125 Perugia, Italy
[2] NUI Galway, Sch Math Stat & Appl Math, Univ Rd, Galway, Ireland
来源：
RICERCHE DI MATEMATICA | 2018年 / 67卷 / 02期
关键词：
Pseudoplane flows; Shear waves; Elliptical streamlines; Simple fluids; NAVIER-STOKES EQUATIONS; MAXWELL ORTHOGONAL RHEOMETER; FINITE-AMPLITUDE; VISCOELASTIC SOLIDS; CURVILINEAR AXIS; MOTIONS; FLUIDS; INSTABILITY; ELASTICITY; DYNAMICS;
D O I：
10.1007/s11587-017-0325-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the superimposition of two shear waves on a pseudo-plane motion of the first kind with elliptical streamlines. If the shear waves satisfy some special assumptions it is possible to establish a recurrence relation among the Rivlin-Ericksen tensors associated with the flow at hand. This remarkable kinematical result allows to determine new exact solutions for a large class of materials and to generalize some well known solutions modelling special flows (such as the celebrated Berker's solution for a Navier-Stokes fluid in an orthogonal rheometer).
引用
收藏
页码：509 / 524
页数：16
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