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TECHNICAL PAPERS

Interaction Between the Torsional Vibration of a Circular Rod and an Adjacent Viscous Fluid

[+] Author and Article Information
Jin O. Kim, Han Yong Chun

Department of Mechanical Engineering, Soongsil University, 1 Sangdo-dong, Dongjak-gu, Seoul 156-743, Korea

J. Vib. Acoust 125(1), 39-45 (Jan 06, 2003) (7 pages) doi:10.1115/1.1525004 History: Received September 01, 2001; Revised September 01, 2002; Online January 06, 2003
Copyright © 2003 by ASME
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References

Kim,  J. O., Wang,  Y., and Bau,  H. H., 1991, “The Effect of an Adjacent Viscous Fluid on the Transmission of Torsional Stress Waves in a Submerged Waveguide,” J. Acoust. Soc. Am., 89(3), pp. 1414–1422.
Bau, H. H., Kim, J. O., Lynnworth, L. C., and Nguyen, T. H., 1990, “Torsional Wave Fluid Sensor and System,” United States Patent 4,893,496.
Roth,  W., and Rich,  S. R., 1953, “A New Method for Continuous Viscosity Measurement. General Theory of the Ultra-Viscon,” J. Appl. Phys., 24(7), pp. 940–950.
Bauer,  H. F., and Eidel,  W., 1999, “Free Oscillations and Response of a Viscous Liquid in a Rigid Circular Cylindrical Tank,” Aerosol. Sci. Technol., 3(8), pp. 495–512.
Achenbach, J. D., 1975, Wave Propagation in Elastic Solids, North-Holland Publishing Co., Amsterdam, p. 241, p. 24.
Fox, R. W., and McDonald, A. T., 1998, Introduction to Fluid Mechanics, 5th ed., John Wiley & Sons, New York, p. 709.
Wolfram, S., 1988, Mathematica-A System for Doing Mathematics by Computer, Addison-Wesley, New York.
Nayfeh, A. H., 1981, Introduction to Perturbation Techniques, John Wiley & Sons, New York.
Yih, C.-S., 1979, Fluid Mechanics, West River Press, Michigan, pp. 321–324.
Kim, J. O., and Kwon, O. S., 2002, “Vibration Characteristics of the Piezoelectric Torsional Transducers of Langevin-Type,” J. Sound Vib., in press.
Korean Standards Association, 1993, “Standard Liquids for Calibrating Viscometers,” KS A5103.
American Society for Testing and Materials, 1993, “Viscosity-Temperature Charts for Liquid Petroleum Products,” Annual Book of ASTM Standards, D 341-89.

Figures

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Schematic diagram of a circular rod submerged in a viscous fluid and excited by a torsional vibrator
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Nondimensional mechanical impedances obtained from the exact (symbols) and approximate (solid lines) solutions
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Mechanical impedance calculated for the frequency ωθ=2π×(13.5×103 Hz) and depicted as a function of (ρf⋅μ)1/2
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Ratio of the torques at the end surface (Te) and the circumferential surface (Tc) of a rod depicted as a function of the length/radius ratio l for ρ=0.1 and various R
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Experimental apparatus including a torsional vibrator and a circular rod submerged in a viscous fluid
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Impedance curve of the transducer-rod system measured as a function of the frequency
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Electrical impedance measured at the frequency ωθ=2π×(12.1×103 Hz) and depicted as a function of (ρf⋅μ)1/2
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Electrical impedance measured at the frequency ωθ=2π×(13.5×103 Hz) and depicted as a function of (ρf⋅μ)1/2

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