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Dynamics and Structure of Periodic Flows in a Rectangular Vessel with Dampers

Authors: Kalinichenko V.A., Soe A.N., Chashechkin Yu.D., Shkapov P.M. Published: 26.07.2017
Published in issue: #4(73)/2017  
DOI: 10.18698/1812-3368-2017-4-29-51

 
Category: Mathematics and Mechanics | Chapter: Substantial Analysis, Complex and Functional Analysis  
Keywords: parametric resonance, standing waves, resonance dependence, plate-damper, decrement

The purpose of the work was to experimentally investigate the effect of transverse damper plates located both normally and at an arbitrary angle to the direction of the flow, on the parameters of standing surface waves in a vertically oscillating rectangular vessel. By means of tracer imaging we show that the damping action of the plates (installed in the standing wave node) is due to the transfer of wave energy to the system of three-dimensional nonstationary vortices along the entire depth of the liquid. The results of investigating the wave currents pattern on the free surface of a liquid in the presence of dampener plates in a vessel are of scientific and practical interest. We quantitatively estimated the effectiveness of the plates’ action in changing the shape and frequency shift of the resonance dependences of parametrically excited waves. Finally, we obtained a universal dependence of the wave decrement on the relative overlap of the central cross section of the vessel.

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