Abstract
Numerical modeling of complicated physical phenomena such as multicomponent multi-phase flows is a powerful tool supplementing experiments and enabling optimum design of complicated technical facilities. The wide range of computer codes developed over the past 30 years for the description of multidimensional single-, two- and multiphase flows inevitably leads to the step of developing a universal flow analyzer. Such a computer code should model transient and steady-state three-dimensional flows in a complicated geometry with arbitrary internals. The flow should be described by multi-velocity fields, each of them consisting of an arbitrary number of chemical components.
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References
Chase, M.W. (ed.): NIST-JANAF Thermochemical Tables, 4th edn., Part I, II. American Institute of Physics and American Chemical Society, Woodbury (1998)
Chawla, T.C., et al.: Thermophysical properties of mixed oxide fuel and stainless steel type 316 for use in transition phase analysis. Nuclear Engineering and Design 67, 57–74 (1981)
Cordfunke, E.H.P., Konings, R.J.M. (eds.): Thermo-chemical data for reactor materials and fission products. North-Holland, Amsterdam (1990)
Elizer, S., Ghatak, A., Hora, H.: Fundamental of equation of state. World Scientific, New Jersey (2002)
Elsner, N.: Grundlagen der Technischen Thermodynamik, vol. 2. Berichtete Auflage, Akademie-Verlag, Berlin (1974)
Fink, J.K., Ghasanov, M.G., Leibowitz, L.: Properties for reactor safety analysis, ANLCEN-RSD-82-2 (May 1982)
Fischer, E.A.: Kernforschungszentrum Karlsruhe GmbH, unpublished report (1990)
Garland, W.J., Hand, B.J.: Simple functions for the fast approximation of light water thermodynamic properties. Nuclear Engineering and Design 113, 21–34 (1989)
Hill, P.G., Miyagawa, K.: A tabular Taylor series expansion method for fast calculation of steam properties. Transaction of ASME, Journal of Engineering for Gas Turbines and Power 119, 485–491 (1997)
Irvine, T.F., Liley, P.E.: Steam and gas tables with computer equations. Academic Press, New York (1984)
Issa, R.I.: Numerical methods for two- and three- dimensional recirculating flows. In: Essers, J.A. (ed.) Comp. Methods for Turbulent Transonic and Viscous Flow, p. 183. Hemisphere, Springer, Washington, Heidelberg (1983)
Kestin, J.: A course in thermodynamics, vol. 1. Hemisphere, Washington (1979)
Kolev, N.I.: Transient three phase three component non-equilibrium non-homogeneous flow. Nuclear Engineering and Design 91, 373–390 (1986a)
Kolev, N.I.: Transiente Zweiphasenstromung. Springer, Heidelberg (1986b)
Kolev, N.I.: A three-field model of transient 3D multi-phase three-component flow for the computer code IVA3, Part 2: Models for interfacial transport phenomena. Code validation, Kernforschungszentrum Karlsruhe, KfK 4949 (September 1991a)
Kolev, N.I.: A three-field model of transient 3D multi-phase three-component flow for the computer code IVA3, Part 1: Theoretical basics: Conservation and state equations, numerics. Kernforschungszentrum Karlsruhe, KfK 4948 (September 1991b)
Kolev, N.I.: IVA3: Computer code for modeling of transient three dimensional three phase flow in complicated geometry. Program documentation: Input Description, KfK 4950, Kernforschungszentrum Karlsruhe (September 1991c)
Kolev, N.I.: Derivatives for equations of state of multi-component mixtures for universal multi-component flow models. Nuclear Science and Engineering 108(1), 74–87 (1991d)
Kolev, N.I.: The code IVA4: Modeling of mass conservation in multi-phase multicomponent flows in heterogeneous porous media. Kerntechnik 59(4-5), 226–237 (1994a)
Kolev, N.I.: The code IVA4: Modeling of momentum conservation in multi-phase multicomponent flows in heterogeneous porous media. Kerntechnik 59(6), 249–258 (1994b)
Kolev, N.I.: The code IVA4: Second law of thermodynamics for multi phase flows in heterogeneous porous media. Kerntechnik 60(1), 1–39 (1995)
Kolev, N.I.: Three fluid modeling with dynamic fragmentation and coalescence fiction or daily practice? In: 7th FARO Experts Group Meeting Ispra, October 15-16 (1996); Proceedings of OECD/CSNI Workshop on Transient Thermal-Hydraulic and Neutronic Codes Requirements, Annapolis, MD, U.S.A., November 5-8 (1996); 4th World Conference on Experimental Heat Transfer, Fluid Mechanics and Thermodynamics, ExHFT 4, Brussels, June 2-6 (1997); ASME Fluids Engineering Conference & Exhibition, The Hyatt Regency Vancouver, Vancouver, British Columbia, CANADA, June 22-26 (1997); Invited Paper; Proceedings of 1997 International Seminar on Vapor Explosions and Explosive Eruptions (AMIGO-IMI), Aoba Kinen Kaikan of Tohoku University, Sendai-City, Japan, May 22-24 (1997)
Kolev, N.I.: On the variety of notation of the energy conservation principle for single phase flow. Kerntechnik 63(3), 145–156 (1998)
Kolev, N.I.: Verification of IVA5 computer code for melt-water interaction analysis, Part 1: Single phase flow, Part 2: Two-phase flow, three-phase flow with cold and hot solid spheres, Part 3: Three-phase flow with dynamic fragmentation and coalescence, Part 4: Three-phase flow with dynamic fragmentation and coalescence – alumna experiments. In: CD Proceedings of the Ninth International Topical Meeting on Nuclear Reactor Thermal Hydraulics (NURETH-9), San Francisco, California, October 3-8 (1999)
Kolev, N.I.: Multi-Phase Flow Dynamics. In: Fundamentals + CD, vol. 1. Springer, Berlin (2002) ISBN 3-540-42984-0
Liles, D.R., et al.: TRAC-PD2 An advanced best-estimate computer program for pressurized water reactor loss-of-coolant accident analysis, NUREG/CR-2054, LA-7709-MS (1981)
McCahan, S., Shepherd, J.E.: A thermodynamic model for aluminum-water interaction. In: Proc. of the CSNI Specialists Meeting on Fuel-Coolant Interaction, Santa Barbara, California, NUREC/CP-0127 (January 1993)
Meyer, J.: Negative pressure in liquids. Abh. Dt. Buns. Ges. 6, 1 (1911)
Meyer, J.: Zur Kenntnis des negativen Druckes in Flüssigkeiten. Verlag von Wilchelm Knapp, Halle a. S (1911)
Meyer-Pittroff, R., Vesper, H., Grigul, U.: Einige Umkehrfunktionen und Näherungsgleichungen zur. In: 1967 IFC Formulation for Industrial Use” für Wasser und Wasserdampf, Brennst.-Wärme-Kraft, vol. 21(5), p. 239 (May 1967)
Oelkers, E.H., et al.: Summary of the apparent standard partial molar Gibbs free energies of formation of aqueous species, minerals, and gases at pressures 1 to 5000 bars and temperatures 25 to 1000°C. J. Phys. Chem. Ref. Data 24(4), 1401–1560 (1995)
Reid, R.C., Prausnitz, J.M., Scherwood, T.K.: The properties of gases and liquids, 3rd edn. McGraw-Hill Book Company, New York (1982)
Rivkin, S.L., Alexandrov, A.A.: Thermodynamic properties of water and steam. Energia (1975) (in Russian)
Rivkin, S.L., Kremnevskaya, E.A.: Equations of state of water and steam for computer calculations for process and equipment at power stations. Teploenergetika 24(3), 69–73 (1977) (in Russian)
Sesternhenn, J., Müller, B., Thomann, H.: On the calculation problem in calculating compressible low mach number flows. Journal of Computational Physics 151, 579–615 (1999)
Skripov, V.P., et al.: Thermophysical properties of liquids in meta-stable state. Atomisdat, Moscow (1980) (in Russian)
Touloukian, Y.S., Makita, T.: Specific heat, non-metallic liquids and gases, vol. 6. IFC/Plenum, New York (1970)
Vargaftik, N.B., Vonogradov, Y.K., Yargin, V.S.: Handbook of physical properties of liquid and gases, 3rd edn. Begell House, New York (1996)
Wagner, W., et al.: The IAPS industrial formulation 1997 for the thermodynamic properties of water and steam, Transaction of ASME. Journal of Engineering for Gas Turbines and Power 122, 150–182 (2000); See also Wagner, W., Kruse, A.: Properties of water and steam. Springer, Heidelberg (1998)
Wagner, W., Kruse, A.: Properties of water and steam. Springer, Heidelberg (1998)
Warnatz, J., Maas, U., Dibble, R.W.: Combustion, 3rd edn. Springer, Heidelberg (2001)
Wilke, C.R.: J. Chem. Phys. 18 (1950)
Worthington: Phil. Trans. Royal Soc. London 183, 355 (1892)
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Kolev, N.I. (2015). Derivatives for the Equations of State. In: Multiphase Flow Dynamics 1. Springer, Cham. https://doi.org/10.1007/978-3-319-15296-7_3
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DOI: https://doi.org/10.1007/978-3-319-15296-7_3
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