# A quasi-one-dimensional model for the centrifugal compressors performance simulations

A quasi-one-dimensional model for the centrifugal compressors performance simulations

Wenhai DuYucheng Li Longfei Li Giulio Lorenzini

Beijing Institute of Petrochemical Technology, Department of Mechanical Engineering, Qingyuan North Road 19, Daxing District, Beijing 102617, China

University of Parma, Department of Engineering and Architecture, Parco Area delle Scienze 181/A, Parma 43124, Italy

Corresponding Author Email:
giulio.lorenzini@unipr.it
Page:
391-396
|
DOI:
https://doi.org/10.18280/ijht.360202
14 December 2017
|
Accepted:
24 April 2018
|
Published:
30 June 2018
| Citation

OPEN ACCESS

Abstract:

This paper presents a quasi-one-dimensional numerical tool to simulate the performance of the centrifugal compressors. The current model is especially useful since it could offer the reliable prediction for the centrifugal compressor performance only based on the simple geometries. An adapted version of the Euler equations solved at mid-span by a time-marching, finite-volume method, is applied in the model. The inviscid effect, the viscous effect and the geometry variation effect in the centrifugal compressor are expressed by the source terms in the Euler Equations. In the study, different loss sources in the centrifugal compressor are analyzed and estimated by empirical correlations. Two different centrifugal compressors are applied to validate the current model and the numerical simulations are compared to experimental data. The results suggest that the model provides a valuable tool for evaluating the centrifugal compressor performance during the preliminary design and optimization process.

Keywords:

centrifugal compressor, quasi-one-dimensional, numerical simulation, loss models

1. Introduction
2. Model Equations
3. Equation Solver
4. Numerical Simulation
5. Conclusions
Acknowledgement
Nomenclature
References

[1] Whitfield A, Baines NC. (1990). Design of radial turbomachines. Longman Scientific & Technical.

[2] Du W, Léonard O. (2011). A quasi-one-dimensional CFD model for multistage compressors. ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition 17: 7-20. https://doi.org/10.1115/gt2011-45497

[3] Wenhai DU, Zhu JQ, Léonard O. (2012). Dynamic simulations of post-stall performance in multistage axial compressors. Journal of Thermal Science 21(4): 311-321. https://doi.org/10.1007/s11630-012-0549-y

[4] Aungier RH. (2000). Centrifugal compressors : a strategy for aerodynamic design and analysis. ASME Press.

[5] Djedai H, Mdouki R, Mansouri Z, Aouissi M. (2017). Numerical investigation of three-dimensional separation control in an axial compressor cascade. International Journal of Heat & Technology 35(3): 657-662. https://doi.org/10.18280/ijht.350325

[6] Frigne P, Van DBR. (1978). One dimensional design of centrifugal compressors taking into account flow separation in the impeller. VKI Technical Note 129, pp. 28-42.

[7] Adam O, Léonard O. (2005). A Quasi-one-dimensional model for axial compressors. 17th ISABE Conference, Münich, Germany.

[8] Léonard O, Adam O. (2008). A quasi-one-dimensional cfd model for multistage turbomachines. Journal of Thermal Science 17(1): 7-20. https://doi.org/10.1007/s11630-008-0007-z

[9] Lou F, Fabian JC, Key NL. (2018). A new approach for centrifugal impeller preliminary design for aero-thermal analysis. Journal of Turbomachinery 140: 1-10. https://doi.org/10.1115/1.4038876

[10] Cordier O. (1955). Similarity considerations in turbomachines. Verlag. Dusseldorf, Germany. VDI Reports 3. https://doi.org/10.1115/cec1955-0104

[11] Rodgers C. (1964). Typical performance characteristics of gas turbine radial compressors. Journal of Engineering for Gas Turbines & Power 86(2): 161. https://doi.org/10.1115/1.3677568

[12] Tian Y, Hu A. (2018). Study on critical speed of rotation in the multistage high speed centrifugal pumps rotors. International Journal of Heat & Technology 36(1): 31-39. https://doi.org/10.18280/ijht.360105

[13] Velásquez EIG. (2017). Determination of a suitable set of loss models for centrifugal compressor performance prediction. Chinese Journal of Aeronautics 30(5): 1644-1650. https://doi.org/10.1016 /j.cja.2017.08.002

[14] Lieblein S. (1965). experimental flow in two-dimensional cascades. NASA, SP-36 183-226. https://doi.org/10.1115/1.801926.ch5

[15] Oh HW, Yoon ES, Chung MK. (1997). An optimum set of loss models for performance prediction of centrifugal compressors. Proceedings of the Institution of Mechanical Engineers Part A Journal of Power & Energy 211(4): 331-338. https://doi.org/10.1243/0957650971537231

[16] Wiesner FJ. (1967). A review of slip factors for centrifugal impellers. Journal of Engineering for Gas Turbines & Power 89(4): 558-566. https://doi.org/10.1115/1.3616734

[17] Hirsch Ch. (1988). Numerical computation of internal and external flows. Fundamentals of Numerical Discretization, John Wiley & Sons, Chichester, UK.

[18] Came PM. (1978). Development, application and experimental evaluation of a design procedure for centrifugal compressors. Proceedings of the Institution of Mechanical Engineers 192(1): 49-67. https://doi.org/10.1243/pime_proc_1978_192_051_02

[19] Mckain TF, Holbrook GJ. (1997). Coordinates for a high performance 4:1 pressure ratio centrifugal compressor. NASA Contract Report 204134. https://www.researchgate.net/publication/24321070_Coordinates_for_a_High_Performance_41_Pressure_Ratio_Centrifugal_Compressor