An exact solution of a fluid-structure interaction problem

被引：0
|
作者：
Marusic-Paloka, Eduard [1 ]
机构：
[1] Univ Zagreb, Dept Math, Zagreb, Croatia
来源：
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2021年 / 101卷 / 12期
关键词：
exact solution; fluid-structure interaction; hook law; Navier-Stokes system; STOKES;
D O I：
10.1002/zamm.201900224
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct an exact solution for a stationary fluid flow through a channel with upper wall attached to an elastic spring. The position of the upper wall is determined from the interaction between the fluid and the wall. It is displacement computed from a quartic equation that can be solved by radicals and the solution is proved to be physically reasonable.
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页数：6
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