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Linear disturbances and critical conditions in one – dimensional flow of constans media

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Warianty tytułu
Konferencja
Materiały seminarium poświęconego postępom w realizacji projektu badawczego KBN 8T10B07014, Stawiska, 18-20.06.1999
Języki publikacji
EN
Abstrakty
EN
This paper investigates the influence of inertial processes on the of small disturbances and the properties of the critical flow of continuos media. The intertial processes may stem from heat and mass exchange on the component two-phase flow. Since almost all the models of a flow medium take the form of hyperbolic, quasi-linear systems of partial-differential equations, the mathematical background of the critical flow and the propagation of linear disturbances, for this type of equations, is presented. The problem of discontinuous solutions and its possible influence on the critical flow has been discussed Finally, some important differences concerning linear waves in dispersive and non-dispersive systems are discussed.
Twórcy
autor
  • Polish Academy of Sciences, Institute of Fluid-Flow Machinery, Fiszera 14, 80-952 Gdańsk, Poland
  • ABB Alstom Power Sp z o.o., ul Stoczniowa 2, 82-300 Elbląg
Bibliografia
  • 1. Ardron, K.H. & Duffey, R.B., Acoustic wave propagation in a flowing liquid-vapour mixture, Int. J. Multiphase Flow vol. 4, 303-322, No 6, 1978.
  • 2. Bilicki, Z., Dafermos, C, Kestin, J., Majda, G. & Zeng, D. L., Trajectories and singular points in steady-state models of two-phase flows, Int. J. Multiphase Flow, vol. 13, pp. 511-533, 1987.
  • 3. Bilicki, Z., Dwufazowe przepływy krytyczne w dyszach, analiza teoretyczna, Zeszyty Naukowe IMP PAN, 208/1188, 1989.
  • 4. Bilicki, Z., Kestin, J. & Pratt, M. M., A reinterpretation of the results of the Moby Dick experiments in terms of the nonequilibrium model. Transactions of the ASME, vol. 112, 1990.
  • 5. Bilicki, Z., Kestin, J. & Pratt, M. M., Aspects of choking in two-phase flow, Archives of Thermodynamics, 16, pp. 85-95,1995.
  • 6. Brillouin, L., Wave propagation and group velocity, Academic Press, New York, 1960.
  • 7. Dafermos, C. M., Can dissipation prevent the breaking of waves ?, ARO Report 81-1. Transaction of the twenty-sixth Conference of Army Mathematicians, 187-198,1981.
  • 8. Morse, P.,M. & Ingard, U.,K., Theoretical Acoustics, McGrow-Hill Inc., New York, 1968.
  • 9. Liepmann, H.W. & Roshko, A., Elements of gasdynamics, John Willey & Sons, Inc., New York, 1958.
  • 10. Piechor, K., A discrete kinetic model resembling retrograde gases. YUTAM Symposium Adiabatic Waves in Liquid-Vapour Systems, Gottingen, 1989.
  • 11. Ramshaw, J.D. & Trapp, J.A., Characteristics, stability and short- wavelength phenomena in two-phase flow equations systems, Nuclear Science and Engineering, 66/93, 1978.
  • 12. Rozdestvenskii, B.L. & Janenko, N.N., Systems of quasilinear equations and their application to gas dynamics, American Mathematical Society, Providence, 1983.
  • 13. Von Neumann, J. & Richtmyer, R. D., J. Applied Physics, 21, 232, 1950.
  • 14. Whitham, G. B., Linear and nonlinear waves, J. Wiley and Sons, New York, 1974.
Typ dokumentu
Bibliografia
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