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RESEARCH PAPERS

Analysis of Eccentric Annular Incompressible Seals: Part 1—A New Solution Using Fast Fourier Transforms for Determining Hydrodynamic Force

[+] Author and Article Information
C. C. Nelson, D. T. Nguyen

Mechanical Engineering Department, Turbomachinery Laboratories, Texas A&M University, College Station, Texas 77843

J. Tribol 110(2), 354-359 (Apr 01, 1988) (6 pages) doi:10.1115/1.3261631 History: Received March 03, 1987; Online October 29, 2009

Abstract

A new analysis procedure is presented which solves for the flow variables of an incompressible-flow annular pressure seal in which the rotor has a large static displacement from the centered position. The analysis begins with a set of governing equations based on a turbulent bulk-flow model and Moody’s friction equation. No simplification of these bulk-flow equations are required for the solution procedure. Perturbation of the flow variables yields a set of zeroth and first-order equations. The zeroth-order equations (which model the large static displacement) are integrated by means of an efficient new method which employs Fast Fourier Transforms. Further integration of the zeroth-order pressures yields the hydrodynamic reactive force. Predictions for the hydrodynamic forces from this analysis procedure are in excellent agreement with available experimental results.

Copyright © 1988 by ASME
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