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K. Ichikawa (Nippon Steel Corporation) and H.K.D.H. Bhadeshia,
Phase Transformations Group,
Department of Materials Science and Metallurgy,
University of Cambridge,
Cambridge, U.K.
To estimate the concentration profiles by solidification-induced segregation, based on classical Scheil theory.
| Language: | FORTRAN |
| Product form: | Source code |
The Scheil equation gives:-
CS(X) = k0(X)C0(X)(1 - fS)[k0(X)-1]
where:
CS(X) is the concentration of alloy element X in solid phase (in weight percent).
C0(X) is the initial concentration of X in the alloy (in weight percent).
k0(X) is the equilibrium partition coefficient of alloy element X, where k0(X) = CS(X) / Cl(X).
Cl(X) is the concentration of alloy element X in liquid phase (in weight percent).
fS is the fraction solidified.
If the fraction solidified fS is divided by a positive integer n, each segment of the fraction represents a fraction of 1/n of the final solid. Therefore the midpoint of the nth section can be represented as:
fS = (i/n) - [1/(2n)]
where i = 1, 2, 3, ..., n
After substituting for fS, CS(X) can be calculated for the ith segment from:
CS(X) = k0(X)C0(X)/[1 - {(i/n) - (1/(2n))}][k0(X)-1]
where the equilibrium distribution coefficient k0(X) of the alloy element X may be calculated using the subroutine MAP_STEEL_EDC.
None.
No information supplied.
None.
DOUBLE PRECISION CC,CSI,CMN,CNI,CMO,CCR,CV
DOUBLE PRECISION R,C(7)
INTEGER I,IN
INCLUDE 'map_constants_gas.f'
READ (5,*) CC,CSI,CMN,CNI,CMO,CCR,CV
READ(5,*) I,IN
CALL MAP_STEEL_SCHEIL(CC,CSI,CMN,CNI,CMO,CCR,CV,
& R,C,I,IN)
WRITE (6,*) (C(I),I=1,7)
STOP
END
0.04 0.35 1.0 1.96 0.35 0.38 0.01 10 100
4.0000000000000D-02 0.25555426222485 0.76736120867397 0.94123971424815 0.18206130345040 0.31925041575708 7.7665238384234D-03
Scheil, segregation, concentration, profile, solidification
MAP originated from a joint project of the National Physical Laboratory and the University of Cambridge.
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