Research Papers: Gas Turbines: Turbomachinery

An Investigation of Condensation Effects in Supercritical Carbon Dioxide Compressors

[+] Author and Article Information
C. Lettieri

Gas Turbine Laboratory,
Massachusetts Institute of Technology,
Cambridge, MA 02139
e-mail: lettieri@mit.edu

D. Yang

Gas Turbine Laboratory,
Massachusetts Institute of Technology,
Cambridge, MA 02139
e-mail: dayang@mit.edu

Z. Spakovszky

Gas Turbine Laboratory,
Massachusetts Institute of Technology,
Cambridge, MA 02139
e-mail: zolti@mit.edu

Contributed by the Turbomachinery Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received October 27, 2014; final manuscript received December 28, 2014; published online February 3, 2015. Editor: David Wisler.

J. Eng. Gas Turbines Power 137(8), 082602 (Aug 01, 2015) (8 pages) Paper No: GTP-14-1592; doi: 10.1115/1.4029577 History: Received October 27, 2014; Revised December 28, 2014; Online February 03, 2015

Supercritical CO2 (S-CO2) power cycles have demonstrated significant performance improvements in concentrated solar and nuclear applications. These cycles promise an increase in thermal-to-electric conversion efficiency of up to 50% over conventional gas turbines (Wright, S., 2012, “Overview of S-CO2 Power Cycles,” Mech. Eng., 134(1), pp. 40–43), and have become a priority for research, development, and deployment. In these applications the CO2 is compressed to pressures above the critical value using radial compressors. The thermodynamic state change of the working fluid is close to the critical point and near the vapor–liquid equilibrium region where phase change effects are important. This paper presents a systematic assessment of condensation on the performance and stability of centrifugal compressors operating in S-CO2. The approach combines numerical simulations with experimental tests. The objectives are to assess the relative importance of two-phase effects on the internal flow behavior and to define the implications for radial turbomachinery design. The condensation onset is investigated in a systematic manner approaching the critical point. A nondimensional criterion is established that determines whether condensation might occur. This criterion relates the time required for stable liquid droplets to form, which depends on the expansion through the vapor–pressure curve, and the residence time of the flow under saturated conditions. Two-phase flow effects can be considered negligible when the ratio of the two time scales is much smaller than unity. The study shows that condensation is not a concern away from the critical point. Numerical two-phase calculations supported by experimental data indicate that the timescale associated with nucleation is much longer than the residence time of the flow in the saturated region, leaving little opportunity for the fluid to condense. Pressure measurements in a converging diverging nozzle show that condensation cannot occur at the level of subcooling characteristic of radial compressors away from the critical point. The implications are not limited to S-CO2 power cycles but extend to applications of radial machines for dense, saturated gases. In the immediate vicinity of the critical point, two-phase effects are expected to become more prominent due to longer residence times. However, the singular behavior of thermodynamic properties at the critical point prevents the numerical schemes from capturing important gas dynamic effects. These limitations require experimental assessment, which is the focus of ongoing and future research.

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Wright, S., 2012, “Overview of S-CO2 Power Cycles,” Mech. Eng., 134(1), pp. 40–43.
Baltadjiev, N., Lettieri, C., and Spakovszky, Z., 2014, “An Investigation of Real Gas Effects in Supercritical CO2 Centrifugal Compressors,” ASME Paper No. GT2014-26180 [CrossRef].
Rinaldi, E., Pecnik, R., and Colonna, P., 2013, “Steady State CFD Investigation of a Radial Compressor Operating With Supercritical CO2,” ASME Paper No. GT2013-94580 [CrossRef].
Gyarmathy, G., 2005, “Nucleation of Steam in High-Pressure Nozzle Experiments,” Proc. Inst. Mech. Eng., Part A, 219(6), pp. 511–521. [CrossRef]
Schnerr, G., H., 1995, “Compressible Flows With Given Internal Heat Addition,” Two-Phase Flows With Phase Transition, (VKI Lecture Series 1995-06), von Karman Institute, Rhode-St-Genese, Belgium.
Ryzhov, Y. A., 1989, Nonequilibrium Condensation in High-Speed Gas Flows, Gordon and Breach, New York.
Guha, A., 1994,“Thermal Chocking Due to Nonequilibrium Condensation,” ASME J. Fluids Eng., 116(3), pp. 559–604 [CrossRef].
Duff, K. M., 1964, “Non-Equilibrium Condensation of Carbon Dioxide in Supersonic Nozzles,” Master's thesis, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA.
Nakagawa, M., Berana, M. S., and Kishine, A., 2009, “Supersonic Two-Phase Flow of CO2 Through Converging–Diverging Nozzles for the Ejector Refrigeration Cycles,” Int. J. Refrig., 32(6), pp. 1195–1202. [CrossRef]
Yazdani, M., Alahyari, A., and Radcliff, T., 2014, “Numerical Modeling and Validation of Supersonic Two-Phase Flow of CO2 in Converging-Diverging Nozzles,” ASME J. Fluid Eng., 136(1), p. 014503 [CrossRef].
Gibbs, J. W., 1928, The Collected Works of J. Willard Gibbs, Vol. 1, Longmans, Green, New York.
McDonald, J. E., 1962, “Homogeneous Nucleation of Vapour Condensation. I. Thermodynamic Aspects,” Am. J. Phys., 30(12), pp. 870–877. [CrossRef]
ANSYS Academic Research, 2013, ANSYS Release 14.5, Theory Manual, ANSYS, Inc., Canonsburg, PA.
Lettieri, C., Baltadjiev, N., Casey, M., and Spakovszky, Z., 2014, “Low-Flow-Coefficient Centrifugal Compressor Design for Supercritical CO2,” ASME J. Turbomach., 136(8), p. 081008. [CrossRef]
Lemmon, E. W., Huber, M. L., and McLinden, M. O., 2010, “NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties-REFPROP,” Version 9.0, National Institute of Standards and Technology, Standard Reference Data Program, Gaithersburg, MD.


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Fig. 1

Temperature-entropy diagram illustrating isentropic expansion to saturation near impeller leading edge

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Fig. 2

Pressure–temperature diagram illustrating isentropic expansion to metastable conditions

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Fig. 3

Definition of condensation length scale and saturated region for compressor blade (a) and nozzle test section (b)— Mach number in candidate compressor below 1.1 [2]

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Fig. 4

Laboratory scale experiment for assessment of supercritical CO2 internal flow

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Fig. 5

Pressure–temperature diagram illustrating isentropic expansion in experimental nozzle test section—variation of nozzle inlet conditions leads to increased excursion into metastable region

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Fig. 6

Temperature-entropy diagram illustrating charge tank conditions and expansion in converging nozzle section below saturation conditions for tests away from critical point

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Fig. 7

Computed contours of Mach number and super-cooling (T-Tsat) in converging–diverging nozzle

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Fig. 8

Static pressure along the nozzle wall—experimental measurements agree with 1D real gas model and two-phase 3D computations, suggesting no condensation can occur in nozzle converging section

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Fig. 9

1D real gas analysis illustrates impact of potential condensation on static pressure in nozzle converging section—latent heat of condensation leads to thermal choking before throat and a 16% drop in static pressure. Experimental measurements show no pressure drop, ruling out condensation.

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Fig. 10

Analysis of condensation in S-CO2 compressor approaching critical point [2]—timescale analysis suggests condensation time much smaller than residence time

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Fig. 11

Schematic representation of Helmholtz resonator

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Fig. 12

Helmholtz resonator excitation concept

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Fig. 13

Speed of sound measurement in air using forced response Helmholtz resonator experiments—gain (dB) (top), phase (center), and coherence (bottom)



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