Elliptical flows perturbed by shear waves

被引：0

作者：

Edvige Pucci

Giuseppe Saccomandi

机构：

[1] Università degli Studi di Perugia,Dipartimento di Ingegneria

[2] NUI Galway,School of Mathematics, Statistics and Applied Mathematics

来源：

Ricerche di Matematica | 2018年 / 67卷

关键词：

Pseudoplane flows; Shear waves; Elliptical streamlines; Simple fluids; 76A02; 76A05;

D O I：

暂无

中图分类号：

学科分类号：

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

页码：509 / 524

页数：15

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