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Research Papers: Fundamental Issues and Canonical Flows

Thrust Force Characterization of Oscillating Cantilevers Operating Near Resonance

[+] Author and Article Information
Andrew Eastman

Department of Mechanical Engineering
and Materials Science,
University of Pittsburgh,
206 Benedum Hall,
3700 O'Hara Street,
Pittsburgh, PA 15261

Mark L. Kimber

Department of Mechanical Engineering
and Materials Science,
University of Pittsburgh,
206 Benedum Hall,
3700 O'Hara Street,
Pittsburgh, PA 15261
e-mail: mlk53@pitt.edu

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 26, 2013; final manuscript received February 3, 2014; published online May 6, 2014. Assoc. Editor: Prashanta Dutta.

J. Fluids Eng 136(7), 071206 (May 06, 2014) (7 pages) Paper No: FE-13-1453; doi: 10.1115/1.4026667 History: Received July 26, 2013; Revised February 03, 2014

Harmonic oscillations from cantileverlike structures have found use in applications ranging from thermal management to atomic force microscopy and propulsion, due to their simplicity in design and ease of implementation. In addition, making use of resonance conditions, a very energy efficient solution is achievable. This paper focuses on the application of providing thrust through cantilever oscillations at or near the first mode of resonance. This method of actuation provides a balance between full biomimicry and ease of fabrication. Previous studies have shown promise in predicting the propulsion performance based on the operating parameters, however, they have only considered a single cantilever geometry. Here, additional cantilever sizes and materials are included, yielding a much larger design space to characterize the thrust trends. The thrust data is experimentally captured and is assembled into two sets of predictive correlations. The first is based on Reynolds and Strouhal numbers, while the second only employs the Keulegan–Carpenter number. Both correlations are proven to predict the experimental data and can be shown to yield nearly identical proportional relationships after accounting for the cantilever frequency response. The findings presented in this research will aid in further understanding and assessing the capabilities of thrust generation for oscillating cantilevers, but also provides a foundation for other applications such as convection heat transfer and fluid transport.

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References

Figures

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Fig. 1

General illustration of a typical piezoelectric fan with important dimensions included

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Fig. 2

Visual representation of the size and shape of all the fans used for thrust measurements

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Fig. 3

Graphical representation of the orientation and position of the thrust measurement setup

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Fig. 4

Comparison of the previously collected data from Ref. [12] and the new data

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Fig. 5

Thrust data for each fan compared to their respective amplitude ranges

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Fig. 6

The nondimensional thrust for each fan compared to their respective amplitude ranges

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Fig. 7

The nondimensional thrust with the curve fit using ghe Reynolds and Strouhal numbers

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Fig. 8

The nondimensional thrust with the curve fit using the Keulegan–Carpenter number only

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Fig. 9

Nondimensional thrust as a function of the Keulegan–Carpenter number

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