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TECHNICAL PAPERS

Effects of Geometry on the Performance of a Downhole Orbital Vibrator

[+] Author and Article Information
Robert R. Reynolds, Jack H. Cole

Zhen Yuan

Department of Mechanical Engineering, University of Arkansas, Fayetteville, AR 72701

J. Energy Resour. Technol 124(2), 77-82 (May 28, 2002) (6 pages) doi:10.1115/1.1467600 History: Received June 26, 2001; Revised January 30, 2002; Online May 28, 2002
Copyright © 2002 by ASME
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References

Figures

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Cross-sectional view of the cylinder and fluid-filled annulus
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A typical finite element mesh using linear, quadrilaterals for the fluid region; the diameter ratio is 2.0
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Maximum pressure on the outer, fluid surface for a range of frequencies and a diameter ratio, D/d, of 2.66. The data compares the finite element (FE) method and the Eq. (5) (from reference 8).
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Comparison of the FE and analytic solutions for the maximum pressure on the outer fluid boundary (pmax) versus the size of the annulus as measured by D/d (the eccentricity, e, is 0). Solutions are shown for a range of excitation frequencies.
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Effect of fluid annulus size (D/d) on the ratio of the force impinging upon the outer fluid boundary to that on the inner cylinder. The cylinder is centered (e=0) and d=0.114 m. Results calculated using Eq. (5).
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Effect of nominal cylinder location on the net forces impinging upon the inner and outer cylinders. The diameter ratio, D/d, is 2.0, C=D,d=0.114 m, and the frequency of oscillation is 200 Hz.
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Ratio of the net force magnitude on outer fluid boundary to that on the inner cylinder at 200 Hz, D/d=2.0, and d=0.114 m
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Effect of the shape of the outer fluid boundary (i.e., dimension “C”) on the net force on the outer fluid boundary at 200 Hz, and for D/d=2.0, and d=0.114 m.FC is due to oscillation parallel to dimension C and FD is due to oscillation parallel to dimension D.
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Ratio of net force on outer fluid surface to inner cylinder as the outer fluid boundary shape varies at 200 Hz, D/d=2.0, and d=0.114 m

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