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TECHNICAL PAPERS: Forced Convection

Modal Effects on the Local Heat Transfer Characteristics of a Vibrating Body

[+] Author and Article Information
K. D. Murphy, T. A. Lambert

Department of Mechanical Engineering, University of Connecticut, Storrs, CT 06269-3139

J. Heat Transfer 122(2), 233-239 (Jun 25, 1999) (7 pages) doi:10.1115/1.521462 History: Received January 21, 1999; Revised June 25, 1999
Copyright © 2000 by ASME
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References

Richardson,  P. D., 1967, “Effects of Sound and Vibration on Heat Transfer,” Appl. Mech. Rev., 20, No. 3, pp. 201–217.
Tauchert,  T. R., 1991, “Thermally Induced Flexure, Buckling, and Vibration of Plates,” Appl. Mech. Rev., 44, No. 8, pp. 347–360.
Thornton,  E. A., 1993, “Thermal Buckling of Plates and Shells,” Appl. Mech. Rev., 46, No. 10, pp. 485–506.
Deaver,  F. K., Penny,  W. R., and Jefferson,  T. B., 1962, “Heat Transfer From an Oscillating Horizontal Wire to Water,” ASME J. Heat Transfer, 84, pp. 251–254.
Armaly,  B. F., and Madsen,  D. H., 1971, “Heat Transfer From an Oscillating Horizontal Wire,” ASME J. Heat Transfer, 93, pp. 239–240.
Blevins, R. D., 1977, Flow Induced Vibrations, Van Nostrand Reinhold, New York.
Saxena,  U. C., and Laird,  A. D. K., 1978, “Heat Transfer From a Cylinder Oscillating in a Cross-Flow,” ASME J. Heat Transfer, 100, pp. 684–688.
Anatanarayanan,  R., and Ramachandran,  A., 1958, “Effect of Vibration on Heat Transfer From a Wire to Air in Parallel Flow,” ASME J. Heat Transfer, 80, pp. 1426–1432.
Faircloth,  J. M., and Schaetzle,  W. J., 1969, “Effect of Vibration on Heat Transfer for Flow Normal to a Cylinder,” ASME J. Heat Transfer, 91, pp. 140–144.
Cheng,  C. H., Chen,  H. N., and Aung,  W., 1997, “Experimental Study of the Effect of Transverse Oscillations on Convection Heat Transfer From a Circular Cylinder,” ASME J. Heat Transfer, 119, pp. 474–482.
Thrasher,  B. H., and Schaetzle,  W. J., 1970, “Instantaneous Measurement of Heat Transfer From an Oscillating Wire in Free Convection,” ASME J. Heat Transfer, 92, pp. 439–445.
Meirovitch, L. E., 1967, Analytical Methods in Vibrations, Macmillan, New York.
Incropera, F. P., and DeWitt, D. P., 1985, Introduction to Heat Transfer, John Wiley and Sons, New York.
Tseng,  W. Y., and Dugundji,  J., 1970, “Nonlinear Vibrations of a Beam Under Harmonic Excitation,” ASME J. Appl. Mech., 37, pp. 292–297.
Yih, C.-S., 1988, Fluid Mechanics, West River Press, Ann Arbor, MI.
Moffat,  R. J., 1988, “Describing the Uncertainties in Experimental Results,” Exp. Therm. Fluid Sci., 1, pp. 3–17.

Figures

Grahic Jump Location
A schematic of the experimental setup including the beam, frame, water tank, shaker, LVDT, and the relevant dimensions
Grahic Jump Location
The Nusselt number as a function of position on the stationary (nonvibrating) beam. The current levels begin at 0 Amps (coincident with the x-axis). The next data set is at 50 Amps. Subsequent sets are increased in 25-Amp increments up to 225 Amps.
Grahic Jump Location
The amplitude response of the beam at ξ=x/L=0.6604 near the first resonant frequency of the beam with a forcing amplitude of 15 N. The experimental results are indicated by the data points (○) and the theoretical response, based on Eq. (5), is given by the solid line.
Grahic Jump Location
The response of the Nusselt number (relative to the stationary case) at the center of the beam as a function of excitation frequency near the first resonant frequency of the beam. Here, F=15 N and i=200 Amps. A peak clearly occurs near resonance matching the amplification of the structural response seen in Fig. 3.
Grahic Jump Location
The response of the Nusselt number (relative to the stationary case) near the quarter cord of the beam as a function of excitation frequency near the second resonant frequency of the beam. The input force and current are F=15 N and i=200 Amps, respectively. Again a peak occurs near the second resonance in keeping with the structural response.
Grahic Jump Location
The response of the Nusselt number (relative to the stationary case) at the center of the beam as a function of the excitation force. Here, ω=ω1 and i=200 Amps. As the force level increases, the amount of convection increases monotonically.
Grahic Jump Location
The spatial distribution of the Nusselt number (relative to the stationary case) as the beam is excited at the first resonant frequency: ω1=22 Hz. The input force and current are F=15 N and i=200 Amps, respectively.
Grahic Jump Location
The spatial distribution of the Nusselt number (relative to the stationary case) as the beam is excited at the second resonant frequency ω2=77 Hz. Again, F=15 N and i=200 Amps.
Grahic Jump Location
The amplitude response diagram for the large-amplitude nonlinear response of the beam. The response curve has the typical hardening characteristic (bending to the right) and shows a region of hysteresis.

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