A new model for the prediction of caloric properties of moist air and combustion gases has been developed. The model very accurately predicts ideal gas caloric properties of undissociated gas mixtures at temperatures from 200 K to 3300 K. In addition, a simple model has been developed to account for caloric effects of dissociation at temperatures up to 2000 K. As a part of the project, scientific equations for the ideal gas isobaric heat capacity of the individual combustion gas components have been established. Based on this reference, an assessment and comparison of the new model with the most common technical models have been carried out. Results of the simplified dissociation model are compared to the results of complex chemical equilibrium programs. To mark out the limits of the ideal gas hypothesis, some sample calculations are given, which compare results of the new ideal gas model to results from sophisticated real gas models.
Issue Section:
Power
1.
ANSI/ASME PTC 4.4—1981, Gas Turbine Heat Recovery Steam Generators, Performance Test Codes, ASME, New York.
2.
Brandt, F., 1991, Brennstoffe und Verbrennungsrechnung, FDBR-Fachbuchreihe, 1, Second Ed., Vulkan-Verlag, Essen.
3.
Gordon, S., and McBride, B. J., 1994, “Computer Program for Calculation of Complex Chemical Equilibrium Composition and Applications,” NASA RP-1311, National Aeronautics and Space Administration, Washington, DC.
4.
Brandt, F., 1995, Wa¨rmeu¨bertragung in Dampferzeugern und Wa¨rmetauschern, FDBR-Fachbuchreihe, 2, Second Ed., Vulkan-Verlag, Essen.
5.
Jacobsen
, R. T.
, Clarke
, W. P.
, Penocello
, S. G.
, and McCarty
, R. D.
, 1990
, “A Thermodynamic Property Formulation for Air. I. Single-Phase Equation of State from 60 to 873 K at Pressures to 70 MPa
,” Int. J. Thermophys.
, 11
, pp. 169
–177
.6.
Lemmon
, E. W.
, and Jacobsen
, R. T.
, 1999
, “A Generalized Model for the Thermodynamic Properties of Mixtures
,” Int. J. Thermophys.
, 20
, pp. 825
–835
.7.
Trusler, J. P. M., 1991, Physical Acoustics and Metrology of Fluids (The Adam-Hilger Series on Measurement Science and Technology), IOP Publishing Ltd., Bristol, UK.
8.
Kestin, J., and Dorfman, J. R., 1971, A Course in Statistical Thermodynamics, Academic Press, New York.
9.
Hilsenrath, J., Beckett, C. W., Benedict, W. S., Fano, L., Hoge, H. J., Masi, J. F., Nuttal, R. L., Touloukian, Y. S., and Woolley, H. W., 1955, Tables of Thermal Properties of Gases, Circ. 564, U.S. National Bureau of Standards.
10.
Baehr, H. D., Hartmann, H., Pohl, H.-C., and Schoma¨cker, H., 1968, Thermodynamische Funktionen Idealer Gase fu¨r Temperaturen bis 6000°K, Springer-Verlag, Berlin.
11.
Gurvich, L. V., Veyts, I. V., and Alcock, C. B., 1989, Thermodynamic Properties of Individual Substances, Fourth Ed., 1, Part 2, Hemisphere, Washington, DC (Originally published as 22. Revised and updated from the Third Russian Ed.).
12.
Gurvich, L. V., Veyts, I. V., and Alcock, C. B., 1991, Thermodynamic Properties of Individual Substances, Fourth Ed., 2, Part 2, Hemisphere, Washington, DC (Revised and updated from the Third Russian Ed.)
13.
TRC Thermodynamic Tables—Non-Hydrocarbons, 1999, Thermodynamic Research Center: The Texas A&M University System, College Station, Texas (loose-leaf data sheets, extant, 1999).
14.
Chase, M. W., Jr., 1998, “NIST-JANAF Thermochemical Tables,” Fourth Ed., Journal of Physical and Chemical Reference Data, Monograph No. 9.
15.
Span
, R.
, Lemmon
, E. W.
, Jacobsen
, R. T.
, Wagner
, W.
, and Yokozeki
, A.
, 2000
, “A Reference Equation of State for the Thermodynamic Properties of Nitrogen for Temperatures from 63.151 to 1000 K and Pressures up to 2200 MPa
,” J. Phys. Chem. Ref. Data
, accepted for publication 29
, pp. 1361
–1433
.16.
Woolley, H. W., 1980, “Thermodynamic Properties for H2O in the Ideal Gas State,” Water and Steam: Their Properties and Current Industrial Applications, Proceedings of the 9th International Conference on the Properties of Water and Steam, J. Straub and K. Scheffler, eds., Pergamon Press, New York, pp. 166–175.
17.
Woolley
, H. W.
, 1987
, “Ideal Gas Thermodynamic Functions for Water
,” J. Res. Natl. Bur. Stand.
, 92
, pp. 35
–51
.18.
Span
, R.
, and Wagner
, W.
, 1996
, “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
,” J. Phys. Chem. Ref. Data
, 25
, pp. 1509
–1596
.19.
Wagner
, W.
, and Pruß
, A.
, 2002
, “The IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use
,” J. Phys. Chem. Ref. Data
, 31
, pp. 387
–535
.20.
Wagner, W., and de Reuck, K. M., 1987, Oxygen—International Thermodynamic Tables of the Fluid State—9, IUPAC Thermodynamic Tables Project, Blackwell Scientific Publications, Oxford, UK.
21.
Wagner
, W.
, Ewers
, J.
, and Schmidt
, R.
, 1982
, “An Equation for the Ideal-Gas Heat Capacity of Molecular Oxygen for Temperatures from 30 K to 3000 K
,” Ber. Bunsenges. Phys. Chem.
, 86
, pp. 538
–540
.22.
Gurvich, L. V., Veyts, I. V., and Medvedev, V. V., 1978, Thermodinamicheskie svoystva individual’nykh veshchestv, Third Ed., 1, Nauka, Moscow (in Russian).
23.
Cooper
, J. R.
, 1982
, “Representation of the Ideal-Gas Thermodynamic Properties of Water
,” Int. J. Thermophys.
, 3
, pp. 35
–43
.24.
Friedmann
, A. S.
, and Haar
, L.
, 1954
, “High-Speed Machine Computing of Ideal Gas Thermodynamic Functions—I. Isotopic Water Molecules
,” J. Chem. Phys.
, 22
, pp. 2051
–2058
.25.
Vidler
, M.
, and Tennyson
, J.
, 2000
, “Accurate Partition Function and Thermodynamic Data for Water
,” J. Chem. Phys.
, 113
, pp. 9766
–9771
.26.
Chao, J., 1986, private communication, Lehrstuhl fu¨r Thermodynamik, Ruhr-Universita¨t Bochum.
27.
Society of Automotive Engineers, 1999, Gas Turbine Engine Steady-State and Transient Performance Presentation for Digital Computer Programs, SAE AS681 Rev. H, Warrendale, PA.
28.
McBride, B. J., Gordon, S., and Reno, M. A., 1993, “Coefficients for calculating thermodynamic and transport properties of individual species,” NASA Technical Memorandum 4513.
29.
McBride, B. J., Heimel, S., Ehlers, J. G., and Gordon, S., 1963, Thermodynamic Properties to 6000 K for 210 Substances Involving the First 18 Elements, NASA Special Publication 3001, Office of Technical Services, US Department of Commerce, Washington, DC.
30.
Baehr
, H. D.
, and Diederichsen
, C.
, 1988
, “Berechnungsgleichungen fu¨r Enthalpie und Entropie der Komponenten von Luft und Verbrennungsgasen
,” Brennst.-Wa¨rme-Kraft
, 40
, pp. 30
–33
.31.
Selover, T. B., and Sychev, V. V., 1987, Thermodynamic Properties of Nitrogen, Hemisphere, Washington, DC.
32.
Span
, R.
, Collmann
, H.-J.
, and Wagner
, W.
, 1998
, “Simultaneous Optimization as a Method to Establish Generalized Functional Forms for Empirical Equations of State
,” Int. J. Thermophys.
, 19
, pp. 491
–500
.Copyright © 2003
by ASME
You do not currently have access to this content.
