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Research Papers

Characteristics of the Flow-Induced Vibration and Forces With 1- and 2-DOF Vibrations and Limiting Solid-to-Fluid Density Ratios

[+] Author and Article Information
Osama A. Marzouk

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and  State University, Blacksburg, VA 24061omarzouk@vt.edu

J. Vib. Acoust 132(4), 041013 (Jul 15, 2010) (9 pages) doi:10.1115/1.4001503 History: Received May 10, 2009; Revised January 13, 2010; Published July 15, 2010; Online July 15, 2010

We studied various characteristics of the flow-induced vibration (FIV) of a spring-mounted cylinder, and the fluctuating lift and drag forces exerted on the cylinder due to the periodic changes in the fluid motion and vortex structure. We compared two conditions, which represent the limiting cases for the solid-to-fluid density ratio: the cylinder density is negligible relative to the fluid density, and the fluid density is negligible relative to the cylinder density. For both conditions, we examined the changes in these characteristics over a wide range of nondimensional mass-damping for one degree of freedom (1-DOF, cross-flow) and 2-DOF (cross-flow and in-line) vibration. The four cases exhibit differences (especially at low mass-damping) but also have some similarities in the characteristics of the FIV, induced forces, and energy extraction from the flow. We examined these differences and similarities, the implied errors when the in-line DOF is neglected, and the feasibility of using a single mass-damping parameter to describe the FIV.

Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Schematics describing 1-DOF and 2-DOF flow-induced vibration

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Figure 2

A schematic describing the domain of the solved fluid equations

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Figure 3

Velocity vectors and grid lines near the fixed cylinder

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Figure 4

Averaged pressure coefficient at the top half of the fixed cylinder (and in comparison with Ref. 14)

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Figure 5

Lift (solid lines) and drag (dash-dotted lines) coefficients for 2-DOF FIV with ρ∗=12.73 (and in comparison with Ref. 15)

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Figure 6

Fast transient cross-flow and in-line DOFs of the FIV with ρ∗=1 and reduced damping SG=2

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Figure 7

Slow transient cross-flow and in-line DOFs of the FIV with ρ∗=1000 and reduced damping SG=2

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Figure 8

Fast transient lift and drag coefficients corresponding to Fig. 6(ρ∗=1)

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Figure 9

Slow transient lift and drag coefficients corresponding to Fig. 7(ρ∗=1000)

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Figure 10

Steady-state cylinder trajectory corresponding to the FIV in Fig. 6(ρ∗=1)

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Figure 11

Steady-state cylinder trajectory corresponding to the FIV in Fig. 7(ρ∗=1000)

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Figure 12

Spectra of the steady-state DOFs and hydrodynamic force coefficients corresponding to the FIV in Fig. 6(ρ∗=1)

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Figure 13

Spectra of the steady-state DOFs and hydrodynamic force coefficients corresponding to the FIV in Fig. 7(ρ∗=1000)

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Figure 14

Peak-to-peak value of the cross-flow DOF as a function of the reduced damping for different FIV conditions

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Figure 15

Peak-to-peak and averaged values of the in-line DOF as a function of the reduced damping with ρ∗=1

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Figure 16

Relative frequency of the cross-flow DOF as a function of the reduced damping for different FIV conditions

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Figure 17

Phase (lead) of the lift relative to the cross-flow DOF as a function of the reduced damping for different FIV conditions

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Figure 18

Amplification of the fluctuating lift force as a function of the reduced damping for different FIV conditions

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Figure 19

Amplification of the fluctuating and averaged drag force as a function of the reduced damping for different FIV conditions

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Figure 20

The coefficient of extracted energy (from the flow) as a function of the reduced damping for different FIV conditions

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