Journal
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
Volume 101, Issue 12, Pages -Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/zamm.201900224
Keywords
exact solution; fluid-structure interaction; hook law; Navier-Stokes system
Categories
Funding
- Croatian science foundation [2735]
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An exact solution was constructed to describe the stationary fluid flow through a channel with the upper wall attached to an elastic spring. The position of the upper wall is determined by the interaction between the fluid and the wall, with the displacement calculated from a quartic equation that can be solved by radicals and has been proven to be physically reasonable.
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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