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Vibration-Induced Pressures on a Cylindrical Structure Surface in Compressible Fluid

1
Department of Civil Engineering and Architecture, Jiangsu University of Science and Technology, Zhenjiang 215002, China
2
School of Engineering, University of Birmingham, Birmingham B15 2TT, UK
3
Suzhou University of Science and Technology, Suzhou 212009, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(7), 1403; https://doi.org/10.3390/app9071403
Received: 25 February 2019 / Revised: 20 March 2019 / Accepted: 31 March 2019 / Published: 3 April 2019
(This article belongs to the Section Acoustics and Vibrations)
This paper unprecedentedly addresses the effect of vibrations of a cylindrical structure on dynamic pressures in a compressible and incompressible fluid situation. To obtain analytical solutions, the density of the fluid is simplified as a constant, but the rates of the density with respect to time and to space are considered as a dynamic and time-dependent function. In addition, the low velocity of the vibration is taken into account so the lower order terms are negligible. According to the assumption that the vibration at the boundary of the structure behaves as a harmonic function, some interesting and new analytical solutions can be established. Both analytical solutions in the cases of the compressible and incompressible fluid are rigorously verified by the calibrated numerical simulations. New findings reveal that, in the case of the incompressible fluid, dynamic pressure at the surface of the cylindrical shell is proportional to the acceleration of the vibration, which acts like an added mass. In the case of the compressible fluid, the pressure at the surface of the cylindrical structure is proportional to the velocity of the vibration, which acts as a damping. In addition, the proportional ratio is derived as ρ c . View Full-Text
Keywords: incompressible fluid; cylindrical structure; fluid-structure interaction; viscous damping incompressible fluid; cylindrical structure; fluid-structure interaction; viscous damping
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MDPI and ACS Style

Liu, P.; Tang, B.-J.; Kaewunruen, S. Vibration-Induced Pressures on a Cylindrical Structure Surface in Compressible Fluid. Appl. Sci. 2019, 9, 1403.

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