Skip to main content
SpringerLink
Log in
Book cover

Numerical Simulation of Fluid Flow and Heat/Mass Transfer Processes pp 425–432Cite as

Solidification in Convection-Diffusion

  • Conference paper

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 18))

Abstract

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.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J Crank ‘Free and Moving Boundary Problems’ Clarendon Press (1984).

    Google Scholar 

  2. S V Patankar ‘Numerical Heat Transfer and Fluid Flow’. Hemisphere (1980)

    Google Scholar 

  3. V R Voller ‘Interpretation of the enthalpy in a discretised multidimensional region undergoing a phase change’. Int.Comm.Heat Mass Transfer, 10, 323–328 (1983).

    Article  Google Scholar 

  4. V R Voller ‘Implicit finite-difference solutions of the enthalpy formulation of Stefan Problems’. IMA J.Num.Anal. 5, 201–214 (1984).

    Article  MathSciNet  Google Scholar 

  5. V R Voller ‘Techniques for accounting for the moving interface in a N C Markatos convection/diffusion phase change and M Cross Numerical Methods in Thermal Problems (Vol.4), (eds.R W Lewis et al) 595–609, Pineridge (1985).

    Google Scholar 

  6. N C Markatos ‘Natural convection in an enclosed cavity’ and PDR/CHAM UK/16 (1982). Also in Int.J.Heat Mass Transfer, K A Pericleous Vol.27, No.5, pp.755–772, (1984).

    Google Scholar 

  7. K Morgan ‘A numerical analysis of freezing and melting with convection’.Comp.Meth.App.Mech.Eng. 28, 275–284, (1981).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre for Numerical Modelling and Process Analysis, Thames Polytechnic, London, SE18 6PF, UK

    V. R. Voller, N. C. Markatos & M. Cross

Authors
  1. V. R. Voller
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. C. Markatos
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Cross
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Centre for Numerical Modelling and Process Analysis, Thames Polytechnic, Wellington Street, London, SE18 6PF, England

    N. C. Markatos  & M. Cross  & 

  2. Concentration Heat and Momentum Limited, Wimbledon, London, SW19 5AU, England

    D. G. Tatchell  & N. Rhodes  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag Berlin, Heidelberg

About this paper

Cite this paper

Voller, V.R., Markatos, N.C., Cross, M. (1986). Solidification in Convection-Diffusion. In: Markatos, N.C., Cross, M., Tatchell, D.G., Rhodes, N. (eds) Numerical Simulation of Fluid Flow and Heat/Mass Transfer Processes. Lecture Notes in Engineering, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82781-5_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-82781-5_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16377-0

  • Online ISBN: 978-3-642-82781-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation