Solidification in Convection-Diffusion

  • V. R. Voller
  • N. C. Markatos
  • M. Cross
Part of the Lecture Notes in Engineering book series (LNENG, volume 18)


An energy equation, based on an enthalpy function, representing phase change under convection and diffusion is developed. This equation is easily formulated into the general transport-equation form and its application in the PHOENICS code in the modelling of phase change problems is readily achieved. Two examples of phase change problems are modelled by this approach:
  1. i

    solidification in a square cavity under heat conduction only,

  2. ii

    solidification in a square cavity under heat conduction and natural convection.


A comparison of the PHOENICS results with available analytical solutions and purpose written numerical codes is made.


Latent Heat Phase Change Natural Convection Rayleigh Number Isothermal Solidification 
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.


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Copyright information

© Springer-Verlag Berlin, Heidelberg 1986

Authors and Affiliations

  • V. R. Voller
    • 1
  • N. C. Markatos
    • 1
  • M. Cross
    • 1
  1. 1.Centre for Numerical Modelling and Process AnalysisThames PolytechnicLondonUK

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