HYDROELASTICITY PROBLEM FOR AN ELASTIC PLATE IN A VISCOUS INCOMPRESSIBLE LIQUID
Abstract
In this paper, we discuss the two-dimensional flow problem over a linearly elastic plate, with a viscous fluid. The velocity and pressure fields the plate are studied as well as the dynamics of the plate in the elastic-deformed state. In the case of a viscous fluid the separation occurs at the ends of the plate, which causes deformation of the elastic plate and, consequently, a change in its geometry, which in turn affects the impulse of the separated flow. The dynamics of the expected flatter event at different flow velocity conditions are studied.
References
T. Obgadze, Mathematical modeling, 839 p, monography, GTU, Tbilisi (2016)
T. Obgadze, Solving of Hydrodynamic stationary problems with Rvachev-Obgadze RO method, 116 p, monography, GTU, Tbilisi (2017)