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Following Eckert's work, Miller and his student [#!poro:millerTrush!#]
altered the calculations^{12}and based the assumption that the conduction heat transfer characteristic time
in die (liquid metal in solid phase) is the same order magnitude as the
solidification time.
This assumption leads them to conclude that the main resistance to the
solidification is in the interface between the die
and mold ^{13}.
Hence they conclude that the solidified front moves according to the following

Where here is the innovative heat transfer coefficient between solid and solid
^{14} and is front velocity.
Then the filling time is given by the equation

where designates the half die thickness.
As a corollary conclusion one can arrived from this construction is that the filling
time is linearly proportional to the die thickness
since
is essentially constant (according to Miller).
This interesting conclusion contradicts all the previous research about
solidification problem (also known as the Stefan problem).
The author not aware of any solidification problem to show similar results.
Of course, Miller has all the experimental evidence to back it up.

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*Genick Bar-Meir ||| www.potto.org
*

copyright Dec , 2006

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