Research Papers: Flows in Complex Systems

Numerical Investigation on Lock-In Condition and Convective Heat Transfer From an Elastically Supported Cylinder in a Cross Flow

[+] Author and Article Information
F. Baratchi

e-mail: f.baratchi@me.iut.ac.ir

M. Saghafian

e-mail: saghafian@cc.iut.ac.ir
Department of Mechanical Engineering,
Isfahan University of Technology,
Isfahan, 84156-83111, Iran

B. Baratchi

Department of Mechanical Engineering,
University of Zanjan,
Zanjan, 45371-38791, Iran
e-mail: b.baratchi@znu.ac.ir

1Corresponding author.

Manuscript received April 25, 2012; final manuscript received November 25, 2012; published online February 22, 2013. Assoc. Editor: Mark F. Tachie.

J. Fluids Eng 135(3), 031103 (Feb 22, 2013) (11 pages) Paper No: FE-12-1215; doi: 10.1115/1.4023192 History: Received April 25, 2012; Revised November 25, 2012

In this numerical study, flow-induced vibrations of a heated elastically supported cylinder in a laminar flow with Re = 200 and Pr = 0.7 are simulated using the moving overset grids method. This work is carried out for a wide range of natural frequencies of the cylinder, while for all cases mass ratio and reduced damping coefficient, respectively, are set to 1 and 0.01. Here we study lock-in condition and its effects on force coefficients, the amplitude of oscillations, vortex shedding pattern, and Nusselt number and simultaneously investigate the effect of in-line oscillations of the cylinder on these parameters. Results show that for this cylinder, soft lock-in occurs for a range of natural frequencies and parameters like Nusselt number, and the amplitude of oscillation reach their maximum values in this range. In addition, this study shows that in-line oscillations of the cylinder have an important effect on its dynamic and thermal behavior, and one-degree-of-freedom simulation, for an elastic cylinder, which can vibrate freely in a flow field, is only valid for cases far from soft lock-in range.

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Fig. 1

Flow field specifications

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Fig. 2

Fringe points and hole points

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Fig. 3

Vorticity contours behind a stationary cylinder in a flow with Re = 200

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Fig. 4

Time history of Nusselt number and force coefficients for a stationary cylinder in a flow with Re = 200 and Pr = 0.7

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Fig. 5

Nuav versus Re for a stationary cylinder in a flow with Pr = 0.7

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Fig. 6

Modeling of the elastically supported cylinder with a mass-spring-damper system

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Fig. 7

Vortex shedding frequency versus natural frequency

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Fig. 9

2yrms/D versus Stn

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Fig. 10

2Cdamp versus Stn

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Fig. 11

2xamp/D versus Stn

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Fig. 16

Local Nusselt number; two degrees of freedom, Sg=0.01, M*=1, Re = 200, and Pr = 0.7

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Fig. 17

Time history of force coefficients and cylinder displacement; two degrees of freedom, Sg=0.01, M*=1, and Re = 200

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Fig. 18

Time history of Nusselt number; two degrees of freedom, Sg = 0.01, M* = 1, Re = 200, and Pr = 0.7

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Fig. 19

Power spectrum density of lift and drag coefficients and Nusselt number; two degrees of freedom, M* = 1, Sg = 0.01, Re = 200, and Pr = 0.7

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Fig. 20

Vorticity contours behind a cylinder with flow-induced vibrations; two degrees of freedom, Sg = 0.01, M* = 1, and Re = 200

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Fig. 21

x/D-y/D, x/D-u/U∞, and y/D-v/U∞ graphs; two degrees of freedom, M* = 1, Sg = 0.01, and Re = 200




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