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research-article

An approximate solution of Muijderman's model for performance calculation of spiral grooved gas seal

[+] Author and Article Information
Wanjun Xu

National Engineering Research Center of Turbo Generator Vibration, Southeast University, Nanjing, 210096, China
230149022@seu.edu.cn

Jiangang Yang

National Engineering Research Center of Turbo Generator Vibration, Southeast University, Nanjing, 210096, China
jgyang@seu.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4035774 History: Received June 24, 2016; Revised December 19, 2016

Abstract

The paper presents an approximate solution of Muijderman's model for compressible spiral grooved gas film. The approximate solution is derived from Muijderman's equations by Adomian decomposition method. The obtained approximate solution expresses the gas film pressure as function of the gas film radius. The traditional Runge-Kutta method is avoided. The accuracy of the approximate solution is acceptable, and it brings convenience for performance calculation of spiral grooved gas seal. A complete Adomian decomposition procedure of Muijderman's equations is presented. The approximate solution is validated with published results.

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