Stationary and Time-Dependent Phase Changes

  • Antonio Romano
  • Addolorata Marasco
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)


In the preceding chapter we used the model of a continuous system with a nonmaterial interface to analyze some phase equilibrium problems. In this chapter we show that it is possible to describe some stationary and timedependent phase changes by again adopting suitable models of a continuous system with a nonmaterial interface.


Continuous Casting Vaporization Temperature Vapor Density Preceding Chapter Nondimensional Quantity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [103]
    A. Romano, G. Starita, Approximate systems describing solid–liquidand liquid–vapor state changes, Arch. Mech., 41, 909, 1989.Google Scholar
  2. [104]
    L. I. Rubinstein, The Stefan Problem (Translations of MathematicaMonographs 27), American Mathematical Society, Providence, 1963.Google Scholar
  3. [102]
    L. Faria, J. Rodrigues, Aspects of the variational approach to a continuouscasting problem, in: A. Bossavit, A. Damlamian, M. Fremond(eds) Free Boundary Problems: Applications and Theory, Vol. III, Pitman,Boston, 1985.Google Scholar
  4. [82]
    F. Kreith, Principi di trasmissione del calore, Liguori Editore, Napoli,1975.Google Scholar
  5. [105]
    J. R. Cannon, The One-Dimensional Heat Equation, Cambridge UniversityPress, Cambridge, 1982 (contains 460-item long bibliography).Google Scholar
  6. [101]
    L. O. Faria, J. F. Rodrigues, Sobre un modelo variacional para asolidificaço dum lingote em varamento continuo e sua aproximaçaonumérica, 3 Congreso Nac. de Mecánica Teórica e Aplicada, Lisbon,1, 1983.Google Scholar

Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Dipartimento di Matematica e Applicazioni “R. Caccioppoli”Università degli Studi di Napoli “Federico II”NapoliItaly

Personalised recommendations