Abstract
The main compressor in a supercritical carbon dioxide (SCO2) Brayton cycle works near the critical point where the physical properties of CO2 are far away from the ideal gas. To investigate the effectiveness of the conventional one-dimensional (1D) loss models for predicting the performance of compressors working in such nontraditional conditions, detailed comparisons of 1D predicted performance, experimental data and three-dimensional CFD results are made. A 1D analysis method with enthalpy and total pressure based loss system is developed for multistage SCO2 centrifugal compressors, and it is firstly validated against the experimental results of a single stage SCO2 centrifugal compressor from the Sandia National Laboratory. A good agreement of pressure ratios with experiments can be achieved by the 1D method. But the efficiency deviations reveal the potential deficiencies of the parasitic loss models. On the basis of the validation, a two-stage SCO2 centrifugal compressor is employed to do the evaluation. Three-dimensional CFD simulations are performed. Detailed comparisons are made between the CFD and the 1D results at different stations located in the compressor. The features of the deviations are analyzed in detail, as well as the reasons that might cause these deviations.
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Abbreviations
- A :
-
passage area
- B :
-
fractional area blockage
- b :
-
hub-to-shroud passage width
- C fdf :
-
disk torque coefficient
- c :
-
absolute velocity
- c̄ :
-
mean absolute velocity
- c f :
-
skin friction coefficient
- D f :
-
diffusion factor
- d :
-
diameter
- d H :
-
hydraulic diameter
- h :
-
enthalpy
- Δh :
-
enthalpy loss
- Δh Euler :
-
impeller blade work
- I blade :
-
impeller blade work input coefficient
- L b :
-
length of blade mean camberline
- m :
-
meridional coordinate
- ṁ :
-
mass flow
- N :
-
rotating speed
- P :
-
pressure
- r :
-
radius
- SNL:
-
Sandia National Laboratory
- T :
-
temperature
- u :
-
Circumferential speed
- w :
-
relative velocity
- w̄ :
-
mean relative velocity
- X :
-
judgment criterion for the sonic condition
- Z :
-
effective number of blades
- α:
-
absolute flow angle from meridional
- β :
-
blade angle from meridional
- ε :
-
average size of the blade gap from impeller inlet to outlet
- εw :
-
wake fraction of the blade-to-blade space at impeller outlet
- η :
-
adiabatic efficiency
- ξ :
-
enthalpy loss coefficient
- ϖ :
-
total pressure loss coefficient
- ϖ inc0 :
-
minimum incidence loss coefficient
- ρ :
-
fluid density cslip slip velocity at impeller outlet σ slip factor
- ϕ :
-
flow coefficient
- 0:
-
total thermodynamic condition or stage inlet
- 1:
-
impeller blade inlet
- 2:
-
impeller outlet
- 3:
-
vaned diffuser inlet
- 4:
-
vaned diffuser outlet
- 6:
-
crossover inlet
- 7:
-
return channel vane trailing edge
- cl :
-
clearance gap
- DIF :
-
vaned diffuser
- h :
-
hub
- i :
-
station number
- is :
-
isentropic
- m :
-
meridional component
- RC :
-
return channel
- t :
-
tip
- th :
-
throat
- u :
-
tangential component
- *:
-
condition at minimum loss incidence angle
- ’:
-
value relative to rotating frame of reference
References
Can carbon dioxide replace steam to generate power. http://www.scientificamerican.com/article/can-carbondioxide-replace-steam-to-generate-power, 2015 (accessed on 4 Jun 2019).
Nikolai P. Rabiyat B. Aslan A., et al., Supercritical CO2: properties and technological applications - A review. Journal of Thermal Science, 2019, 28(3): 394–430.
Feher E.G., The supercritical thermodynamic power cycle. Energy Conversion, 1968, 8: 85–90.
Dostal V. Driscoll M.J. Hejzlar P., A supercritical carbon dioxide cycle for next generation nuclear reactors. Massachusetts Institute of Technology, 2004, 154(3): 265–282.
Wright S.A. Radel R.F. Vernon M.E., et al., Operation and analysis of a supercritical CO2 Brayton cycle. Sandia Report, No. SAND2010-0171, 2010.
Motoaki U. Hiroshi H. Takashi Y., Demonstration test plant of closed cycle gas turbine with supercritical CO2 as working fluid. Strojarstvo, 2010, 52(4): 459–465.
Cha J.E. Bae S.W. Lee J. Cho S.K., et al., Operation results of a closed supercritical CO2 simple Brayton cycle. The 5th International Supercritical CO2 Power Cycles Symposium, San Antonio, USA, 2016.
Pecnik R. Colonna P., Accurate CFD analysis of a radial compressor operating with supercritical CO2. The 3rd International Supercritical CO2 Power Cycle Symposium, Boulder, Colorado, 2011.
Pecnik R. Rinaldi E. Colonna P., Computational fluid dynamics of a radial compressor operating with supercritical CO2. ASME Paper No. GT2012-69640, 2012.
Rinaldi E. Pecnik R. Colonna P., Steady state CFD investigation of a radial compressor operating with supercritical CO2. ASME Paper No. GT2013-94580, 2013.
Rinaldi E. Pecnik R. Colonna P., Numerical computational of the performance map of a supercritical CO2 radial compressor by means of three-dimensional CFD simulations. ASME Paper No. GT2014-26966, 2014.
Ameli A., Turunen-saaresti T. Backman J., Numerical investigation of the flow behavior inside a supercritical CO2 centrifugal compressor. ASME Paper No. GT2016-57481, 2016.
Hosangadi A. Liu Z. Weathers T. Ahuja V., et al, Modeling multiphase effects in CO2 compressors at subcritical inlet conditions. Journal of Engineering for Gas Turbines and Power, 2019, 141(8): 081005.
Galvas M.R., Fortran program for predicting off-design performance of centrifugal compressors. NASA TN D-7487, 1973.
Aungier R.H., Mean streamline aerodynamic performance analysis of centrifugal compressors. Journal of Turbomachinery, 1995, 117: 360–366.
Oh H.W. Yoon E.S. Chung M.K., 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, 1997, 211: 331–338
Monge B., Design of supercritical carbon dioxide centrifugal compressors. University of Seville, Seville, Spain, 2014.
Lee J. Lee J.I. Ahn Y., et al., Design methodology of supercritical CO2 Brayton cycle turbomachineries. ASME Paper No. GT2012-68933, 2012.
Conrad O. Raif K. Wessels M., The calculation of performance maps for centrifugal compressors with vane-island diffusers. Proceedings of the Twenty-fifth Annual International Gas Turbine Conference and Twenty-second Annual Fluids Engineering Conference, New Orleans, Louisiana, 1980.
Jansen W., A method for calculating the flow in a centrifugal impeller when entropy gradients are present. Proceedings of Royal Society Conference on Internal Aerodynamics (Turbomachinery), 1967.
Coppage J.E. Dallenbach F. Eichenberger H.P., et al., Study of supersonic radial compressors for refrigeration and pressurization systems. WADC report 55-257, 1956.
Johnston J.P. Dean R.C., Losses in vaneless diffusers of centrifugal compressors and pumps. Journal of Turbomachinery, 1966, 88(1): 49–62
Lieblein S. Schwenk F.C. Broderick R.L., Diffusion factor for estimating losses and limiting blade loadings in axial-flow-compressor blade elements. NACA RM E53D01, 1953.
Daily J.W. Nece R.E., Chamber dimension effects on induced flow and frictional resistance of enclosed rotating disks. ASME Journal of Basic Engineering, 1960, 82(1): 217–230
Qiu X. Mallikarachchi C. Anderson M., A new slip factor model for axial and radial impellers. ASME Paper No. GT2007-27064, 2007.
Aungier R.H., Centrifugal Compressors: A strategy for aerodynamic design and analysis. ASME Press, New York, 2000.
Span R. Wagner W., A new equation of state for carbon dioxide covering the fluid region from the triple-point temperature to 1100 K at pressures up to 800 MPa. Journal of Physical and Chemical Reference Data, 1996, 25(6): 1509–1596.
Lemmon E.W. Huber M.L. Mclinden M.O., NIST reference fluid thermodynamic and transport properties-REFPROP, Version 9.0. NIST Standard Reference Database 23, National Institute of Standards and Technology, Gaithersburg, MD, 2010.
Acknowledgements
This work was supported by the National Key Research and Development Program of China (No. 2016YFB0600100), National Natural Science Foundation of China (No. 51506195), and the Collaborative Innovation Center of Major Machine Manufacturing in Liaoning.
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Shao, W., Du, J., Yang, J. et al. Investigation on One-Dimensional Loss Models for Predicting Performance of Multistage Centrifugal Compressors in Supercritical CO2 Brayton Cycle. J. Therm. Sci. 30, 133–148 (2021). https://doi.org/10.1007/s11630-020-1242-1
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DOI: https://doi.org/10.1007/s11630-020-1242-1