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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

Figures

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A schematic of the experimental setup including the beam, frame, water tank, shaker, LVDT, and the relevant dimensions
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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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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.
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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.
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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.
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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.
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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.
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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.
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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.

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