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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Yang,  C.-I., and Moran,  T. J., 1979 September, “Finite Element Solution of Added Mass and Damping of Oscillation Rods in Viscous Fluids,” ASME J. Appl. Mech., 46, pp. 519–523.
Garner,  G., and Chandra,  S., 1984 December, “Fluid-Structure Coupling Between a Finite Cylinder and a Confined Fluid,” ASME J. Appl. Mech., 51, pp. 857–862.
Chen, S. S., 1987, Flow-Induced Vibration of Circular, Cylindrical Structures, Hemisphere Pub. Corp., Washington, DC.
Brouwers,  J. J. H., and Meijssen,  T. E. M., 1985, “Viscous Damping Forces on Oscillating Cylinders,” J. Appl. Ocean Res., 7, pp. 118–123.
Hickox, C. E., and Dykhuizen, R. C., 1994, “Coupling of Acoustic Source Model With Exterior Domain,” Tech. Rep., Sandia National Laboratories. July.
Cole, J. H., and Reynolds, R. R., 1998, Internal Contractor Report, Aug.
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Hickox, C. E., and Dykhuizen, R. C., 1994, “Preliminary Analysis of Acoustic Source,” Tech. Rep., Sandia National Laboratories, Apr.


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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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