Numerical Calculations Of The Heat-transfer Coefficient During
Solidification Of Alloys
Author(s)
R. Grzymkowski, D. Slota
Abstract
Numerical calculations of the heat-transfer
coefficient during solidification of alloys
R. Grzymkowski, D. Slota
Institute of Mathematics, Silesian University of Technology, Poland
Abstract
In the paper, three-phase inverse Stefan problems are formulated and de-
scribed by means of the optimization method. These problems consist in
the reconstruction of the function which describes the coefficient of heat-
transfer, when the positions of the moving solidus and Hquidus interfaces
are well-known. In numerical calculations the Nelder-Mead optimization
method and the generalized alternating phase truncation method were used.
1 Introduction
Solidification of pure metals can be modelled by two-phase Stefan prob-
lems. However, it is often the case that solidification of alloys (solidification
with mushy zone) may also be modelled by three-phase Stefan problems.
The solidification of alloys is characterized by two types of temperature of
change: liquidus temperature (beginning of t
Keywords
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Other papers in this volume
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