Macro-Scale Phenomena — Formation of Macrostructure

  • Doru Michael Stefanescu


The problem that we would like to solve is to describe mathematically casting solidification and associated phenomena such as macrosegregation and macroshrinkage. To build a correct model it is first necessary to understand the physics associated with the solidification of castings. At the macro-scale level the casting is a two-phase system comprised of solid and liquid. Nucleation and growth of phases is ignored at this stage.


Heat Flow Rate Phase Quantity General Transport Equation Surface areaA Macroscopic Transport Equation 
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. Beckermann C. and R. Viskanta, 1988, PhysicoChem. Hydrodyn, 10: 195Google Scholar
  2. Bennon W. D. and F. P. Incropera, 1987, Int. J. Heat Mass Transfer, 30: 2161, 2171CrossRefGoogle Scholar
  3. Chang S. and D. M. Stefanescu, 1996, Metall. Mater. Trans 27A: 2708CrossRefGoogle Scholar
  4. Ganesan S. and D.R. Poirier, 1990, Metall. Trans 21B: 173CrossRefGoogle Scholar
  5. Haberman R., 1987, Elementary Applied Partial Differential Equations, Prentice Hall, New JerseyGoogle Scholar
  6. Kreyszig E., 1988, Advanced Engineering Mathematics, John Wiley & Son, New YorkGoogle Scholar
  7. Ni J. and C. Beckermann, 1991, Metall. Trans 22B: 349CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Doru Michael Stefanescu
    • 1
  1. 1.University of AlabamaTuscaloosaUSA

Personalised recommendations