Abstract: The linear two-dimensional problem of flexural-gravity waves generated by an oscillating rigid plate build-in a floating poroelastic plate is studied. The problem is coupled. The plate deflections and the hydrodynamics loads are determined at the same time. The liquid under the poroelastic plate is inviscid and incompressible. Dynamics of the floating plate is described by a thin elastic plate equation. Porosity of the floating plate is taken into account only through the liquid flux into the plate. The velocity of the inflow is assumed to be governed by Darcy’s law being proportional to the hydrodynamic pressure at the plate/liquid interface. Two cases of the oscillating rigid plate with and without its part in the liquid are considered. The problems are solved by the Fourier transform method for non-zero porosity and by the vertical mode method for elastic plates with zero porosity. The deflection and strain distributions are analyzed depending on the excitation frequency and the porosity. Two models of floating plate porosity, where the hydrostatic pressure is included into Darcy’s law (Zavyalova’s model) and excluded (Meylan’s model), are compared. Plate porosity induces damping to the system. It is shown that the damping rate is nonmonotonic with respect to the plate porosity

Cite: Wu Q.Y. , Хабахпашева Т.И. , Ni B.Y. , Korobkin A.A.
Small-amplitude waves in a floating poroelastic plate forcing by vertical pitching plate
Physics of Fluids. 2023. V.35. 117127 :1-16. DOI: 10.1063/5.0175412 WOS Scopus РИНЦ OpenAlex

Identifiers:

Web of science:	WOS:001106814700001
Scopus:	2-s2.0-85177731816
Elibrary:	65306604
OpenAlex:	W4388870779

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OpenAlex	5
Elibrary	8
Scopus	7
Web of science	6

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