Flutter instability of a fluid-conveying fluid-immersed pipe affixed to a rigid body |
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Authors: | Aren Hellum Andrew J. Hull |
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Affiliation: | a Department of Mechanical Engineering, 2555 Engineering Building, Michigan State University, East Lansing, MI 48824-1226, United States b Advanced Acoustic Systems Division, Autonomous and Defensive Systems Department, Naval Undersea Warfare Center, Newport, RI 02841, United States |
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Abstract: | A set of simplified boundary conditions for a flexible beam connected to a rigid body at one end and free at the other end is presented and applied to the case of a fluid-conveying, fluid-immersed pipe. These boundary conditions represent an analytically tractable approximation to those of a submersible which uses a combination of jet action and flutter instability induced tail motion to produce thrust. The boundary conditions are made non-dimensional, and the effect of the non-dimensional mass of the rigid body on system stability is assessed. The neutral stability of this system is determined within a two-parameter space consisting of the velocity of the fluid within the tail, and the forward speed of the submersible. Equations in the literature, derived using slender-body theory, were used to compute the sign of the thrust produced by the tail and the tail's Froude efficiency for the neutrally stable waveforms of the beam. |
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Keywords: | Fluid-conveying pipe Fluid-immersed pipe External flow Flutter instability Boundary conditions Submersible Jet propulsion Fish propulsion Thrust Efficiency |
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