Effects of Greitzer’s parameter and throttle valve coefficient on stall-surge transition in single-stage axial compressors
-
Naima Meskine
,
Mohand Kessal
Abstract
This study focuses on a single-stage compressor, examining the behavior of surge and rotating stall phenomena in detail. Based on Greitzer’s model, the progression of these instabilities was modeled using a set of four dynamical system equations, solved using the fourth-order Runge–Kutta method. The effects of throttle and Greitzer coefficients denoted respectively as K and B, on these instabilities are analyzed and compared. The principal transition conditions between these two phenomena are discussed.
Nomenclature (SI Units)
-
-
Constant dimensionless time step associated with the development of stall cells (%)
- A c
-
Cross-sectional area of the compressor duct (m 2)
- A t
-
Cross-sectional area of the throttle valve pipe (m 2)
- B
-
Greitzer parameter (%)
- Cp
-
Pressure recovery coefficient
- G
-
Dimensional parameter of the geometry (%)
- L c
-
Effective length of the compressor and duct (m)
- U
-
Tangential speed of the Rotor (m/s)
- V p
-
Plenum volume (m 3)
- Φ
-
Coefficient of the mass flow in the compressor (%)
- Φ t
-
Dimensionless pressure rate in the throttle valve (%)
- Ψ
-
Dimensionless pressure rate in the plenum (%)
- Ψ c
-
Dimensionless pressure rate in compressor (%)
- Ψ css
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Dimensionless rate of the pressure in the permanent case (%)
-
-
Speed of sound
-
-
Dimensionless time (%)
Subscript
- 1
-
Initial conditions
- c
-
Compressor
- p
-
Plenum
- t
-
Throttle
Acknowledgements
The researchers wish to extend their sincere gratitude to the Deanship of Scientific Research at the Islamic University of Madinah (KSA) for the support provided to the Post-Publishing Program.
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Research ethics: Not applicable.
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Informed consent: Not applicable.
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Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Use of Large Language Models, AI and Machine Learning Tools: None declared.
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Conflict of interest: The authors state no conflict of interest.
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Research funding: None declared.
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Data availability: Not applicable.
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