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).
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页码：509 / 524
页数：15
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