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On the Perturbations of Evaporation Waves and Liquefaction Shocks

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Part of the book series: Fluid Mechanics and its Applications ((FMIA,volume 31))

Abstract

Perturbation problems related to propagation of liquefaction shocks and evaporation waves are considered. The nonlinear approximate equations governing the evolution of the shear flow in a layer of evaporating superheated liquid are derived. These equations are analyzed and the conditions of nonlinear stability are discussed. On the background of the stability analysis of liquefaction shocks we discuss the problem of theoretical modelling of the irregular shock front behaviour. It is shown that the conventional van der Waals like equations of state allow the oscillatory behaviour of the shock front distrubances to be simulated. However, the modelling of the shock front instability is impossible when simple equations of state are used.

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References

  1. Thompson P.A., Sillivan D.A.: On the possibility of complete condensation shock waves in retrograde fluid. J. Fluid Mech. 70, N 4 (1975) 639–649.

    Article  ADS  Google Scholar 

  2. Thompson P.A., Carofano G.C., Kim Y.G.: Shock waves and phase changes in a large-heat capacity fluids emerging from a tube. J. Fluid Mech. 166 (1986) 57–92.

    Article  ADS  MATH  Google Scholar 

  3. Shepherd J.E., Sturtevant B.: Rapid evaporation at the superheat limit. J. Fluid Mech. 121 (1982) 379–402.

    Article  ADS  Google Scholar 

  4. Hill L.G., Sturtevant B.: An experimental study of evaporation waves in a superheated liquid. In: Adiabatic waves in liquid-vapor systems. G.E.A. Meier, P.A. Thompson, eds., Springer Verlag, Berlin Heidelberg, 1990, 25–37.

    Chapter  Google Scholar 

  5. Chaves H., Kurschat T., Meier G.E.A.: Evaporation waves in fluids of high molar specific heat. In: Adiabatic waves in liquid-vapor systems. G.E.A. Meier, P.A. Thompson, eds., Springer Verlag, Berlin Heidelberg, 1990, 13–24.

    Chapter  Google Scholar 

  6. Shepherd J.E., Mc Cahan, Junhel Cho.: Evaporation wave model for superheated liquids. In: Adiabatic waves in liquid-vapor systems. G.E.A.Meier, P.A.Thompson, eds., Springer Verlag, Berlin Heidelberg, 1990, 3–12.

    Chapter  Google Scholar 

  7. Teshukov V.M.: On the hyperbolicity of long wave equations. Soviet Math. Dokl. 32, N 2 (1985)469–473.

    MATH  Google Scholar 

  8. Teshukov V.M.: Long wave approximation for vortex free boundary flows. In: Numerical methods for free boundary problems, ISNM 99, Birkhäuser Verlag, Basel, 1991, 413–421.

    Google Scholar 

  9. Jordansky S.V.: On the stabikity of plane stationary shock wave. Prikl. Math. Mech. 21 (1957) 465–472.

    Google Scholar 

  10. Kontorovich V.M.: Concerning the stability of shock waves. Sov. Phys.: Tech. Phys. 6 (1957) 1179–1181.

    ADS  Google Scholar 

  11. Teshukov V.M.: Stability of shock waves and general equations of state. In: Adiabatic waves in liquid-vapor systems. G.E.A. Meier, P.A. Thompson, eds., Springer Verlag, Berlin Heidelberg, 1990, 271–280.

    Chapter  Google Scholar 

  12. Menikoff R., Plohr B.J.: The Riemann problem for fluid flow of real materials. Rev. Mod. Phys. 61, N 1 (1989) 75–129.

    Article  MathSciNet  ADS  MATH  Google Scholar 

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© 1995 Springer Science+Business Media Dordrecht

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Teshukov, V.M. (1995). On the Perturbations of Evaporation Waves and Liquefaction Shocks. In: Morioka, S., Van Wijngaarden, L. (eds) IUTAM Symposium on Waves in Liquid/Gas and Liquid/Vapour Two-Phase Systems. Fluid Mechanics and its Applications, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0057-1_25

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  • DOI: https://doi.org/10.1007/978-94-011-0057-1_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4030-3

  • Online ISBN: 978-94-011-0057-1

  • eBook Packages: Springer Book Archive

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