Rotordynamic Coefficients for Partially Tapered Annular Seals: Part II—Compressible Flow

[+] Author and Article Information
J. K. Scharrer

Rockwell International, Rocketdyne Division, Canoga Park, Calif. 91303

C. C. Nelson

Texas A&M University, College Station, Texas 77843

J. Tribol 113(1), 53-57 (Jan 01, 1991) (5 pages) doi:10.1115/1.2920603 History: Received February 26, 1990; Revised June 22, 1990; Online June 05, 2008


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.

Copyright © 1991 by The American Society of Mechanical Engineers
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