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RESEARCH PAPERS: Vibration and Sound

Theory Versus Experiment for the Rotordynamic Coefficients of Labyrinth Gas Seals: Part I—A Two Control Volume Model

[+] Author and Article Information
Joseph K. Scharrer

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

J. Vib., Acoust., Stress, and Reliab 110(3), 270-280 (Jul 01, 1988) (11 pages) doi:10.1115/1.3269513 History: Received January 15, 1988; Online November 23, 2009

Abstract

The basic equations are derived for a two-control-volume model for compressible flow in a labyrinth seal. The recirculation velocity in the cavity is incorporated into the model for the first time. The flow is assumed to be completely turbulent and isoenergetic. The wall friction factors are determined using the Blasius formula. Jet flow theory is used for the calculation of the recirculation velocity in the cavity. 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 pressure distribution is found by satisfying the leakage equation while the circumferential velocity distribution is determined by satisfying the momentum equations. The first-order equations are solved by a separation of variable solution. Integration of the resultant pressure distribution along and around the seal defines the reaction force developed by the seal and the corresponding dynamic coefficients.

Copyright © 1988 by ASME
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