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Explicit solution of gas film pressure for performance calculation of spiral grooved gas seals

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Abstract

The study presents an explicit solution to a narrow groove theory for compressible spiral grooved gas seals. The explicit solution was derived from Muijderman’s narrow groove theory by employing Cauchy’s integral theorem. It expresses the gas film pressure as a function of gas film radius. Using this process, the initial value problem of Muijderman’s equations is avoided, and the gas film pressure can be obtained directly in contrast to the traditional Runge-Kutta method. A complete analytical procedure of the explicit solution is presented. The accuracy of the explicit solution was validated using published results.

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Authors and Affiliations

  1. National Engineering Research Center of Turbo-Generator Vibration, Southeast University, Nanjing, 210096, China

    Wanjun Xu & Jiangang Yang

Authors
  1. Wanjun Xu
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  2. Jiangang Yang
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Correspondence to Jiangang Yang.

Additional information

Recommended by Associate Editor Seongwon Kang

Wanjun Xu is currently a Ph.D. candidate at National Engineering Research Center of Turbo Generator Vibration, Southeast University, China. His research interests include advanced sealing technology, gas lubrication calculation, and rotor vibration control.

Jiangang Yang received his Ph.D. from the Dept. of Power Engineering, Southeast University in 1995, and is the Deputy Director of National Engineering Research Center of Turbo-Generator Vibration. His research areas are in rotating machinery faults monitoring and diagnosis, and rotor dynamics and flow induced vibration.

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Xu, W., Yang, J. Explicit solution of gas film pressure for performance calculation of spiral grooved gas seals. J Mech Sci Technol 32, 277–282 (2018). https://doi.org/10.1007/s12206-017-1228-4

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  • DOI: https://doi.org/10.1007/s12206-017-1228-4

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