The paper deals with the static stability of annular gas seals under choked flow conditions. For a centered straight annular seal, choking can occur only in the exit section because the gas is constantly accelerated by friction forces. From the mathematical standpoint, the flow choking corresponds to a singularity that was never dealt with numerically. The present work introduces an original numerical treatment of this singularity that is validated by comparisons to the analytical solution for planar channel flow. An interesting observation stemming from these results is that the usual hypothesis of considering the flow as being isothermal is not correct anymore for a gas accelerated by a pressure gradient; the characteristics of the flow are the same but the quantitative results are different. The analysis of eccentric annular seals then shows that choked flow conditions produce a change in the static stiffness. For a subsonic exit section, the Lomakin effect is represented by a centering radial force opposed to the rotor displacement. For a choked exit section, the radial force stemming from an eccentricity perturbation has the same direction as the rotor displacement. The annular seal becomes then statically unstable. From the physical standpoint, this behavior is explained by the modification of the Lomakin effect, which changes sign. The pressure and Mach number variations along the seal depict the influence of high compressible flow regimes on the Lomakin effect. This characteristic has never been depicted before.
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October 2007
Technical Papers
The Lomakin Effect in Annular Gas Seals Under Choked Flow Conditions
Mihai Arghir
,
Mihai Arghir
LMS (UMR 6610 CNRS),
Université de Poitiers
, France
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Cyril Defaye
,
Cyril Defaye
LMS (UMR 6610 CNRS),
Université de Poitiers
, France
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Jean Frêne
Jean Frêne
LMS (UMR 6610 CNRS),
Université de Poitiers
, France
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Mihai Arghir
LMS (UMR 6610 CNRS),
Université de Poitiers
, France
Cyril Defaye
LMS (UMR 6610 CNRS),
Université de Poitiers
, France
Jean Frêne
LMS (UMR 6610 CNRS),
Université de Poitiers
, FranceJ. Eng. Gas Turbines Power. Oct 2007, 129(4): 1028-1034 (7 pages)
Published Online: August 30, 2006
Article history
Received:
May 29, 2006
Revised:
August 30, 2006
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Citation
Arghir, M., Defaye, C., and Frêne, J. (August 30, 2006). "The Lomakin Effect in Annular Gas Seals Under Choked Flow Conditions." ASME. J. Eng. Gas Turbines Power. October 2007; 129(4): 1028–1034. https://doi.org/10.1115/1.2434344
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