The basic equations are derived for compressible flow in an annular seal with a partially tapered clearance. The flow is assumed to be completely turbulent in the axial and circumferential directions with no separation, and is modeled by Moody’s equation for roughness. Linearized zeroth and first-order perturbation equations are developed for small motion about a centered position by an expansion in the eccentricity ratio. The zeroth-order continuity and momentum equations are solved exactly, yielding the axial and circumferential velocity components and the pressure distribution. The first-order equations are reduced to three ordinary, complex, differential equations in the axial coordinate Z. The equations are integrated to satisfy the boundary conditions and yield the perturbation pressure distribution. This resultant pressure distribution is integrated along and around the seal to yield the force developed by the seal and the corresponding dynamic coefficients. Since no component test data exist for this type of seal, the results of a parametric study on the effect of the taper length/seal length ratio on the seal leakage and rotordynamic coefficients are presented.
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January 1991
Research Papers
Rotordynamic Coefficients for Partially Tapered Annular Seals: Part II—Compressible Flow
J. K. Scharrer,
J. K. Scharrer
Rockwell International, Rocketdyne Division, Canoga Park, Calif. 91303
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C. C. Nelson
C. C. Nelson
Texas A&M University, College Station, Texas 77843
Search for other works by this author on:
J. K. Scharrer
Rockwell International, Rocketdyne Division, Canoga Park, Calif. 91303
C. C. Nelson
Texas A&M University, College Station, Texas 77843
J. Tribol. Jan 1991, 113(1): 53-57 (5 pages)
Published Online: January 1, 1991
Article history
Received:
February 26, 1990
Revised:
June 22, 1990
Online:
June 5, 2008
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Citation
Scharrer, J. K., and Nelson, C. C. (January 1, 1991). "Rotordynamic Coefficients for Partially Tapered Annular Seals: Part II—Compressible Flow." ASME. J. Tribol. January 1991; 113(1): 53–57. https://doi.org/10.1115/1.2920603
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