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H.K.D.H. Bhadeshia,
Phase Transformations Group,
Department of Materials Science and Metallurgy,
University of Cambridge,
Cambridge, U.K.
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Calculates the Gibbs-Thompson critical radius for the tip of a needle that leads to zero growth, and the equilibrium concentration at the needle tip.
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Language: | FORTRAN
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Product form: | Source code |
SUBROUTINE MAP_STEEL_RRADNED(RADIUS,RAD,XMAX,XALPHA,XBAR,T,R,
&XMAXR,W,SIG,MOLVOL,CAPCON,EPSI)
DOUBLE PRECISION RADIUS,RAD,XMAX,XALPHA,XBAR,T,R,XMAXR,W,
&SIG,MOLVOL,CAPCON,EPSI
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MAP_STEEL_RRADNED calculates the Gibbs-Thompson critical radius for the tip of a
needle that leads to zero growth. It also calculcates the equilibrium concentration at
the needle tip, the capillarity constant, and the non-ideality parameter.
The ratio of the actual needle tip radius to the critical radius is calculated using
an equation derived by fitting to the graph in Ref [1].
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- R. Trivedi, Metallurgical Transactions, 1, (1970), 921-927.
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Input parameters
- SIG - real
- SIG is ther interfacial energy (in joules per metre squared, Jm-2).
- XBAR - real
- XBAR is the mole fraction of carbon in the alloy.
- XALPHA - real
- XALPHA is the equilibrium mole fraction of carbon in ferrite.
- XMAX - real
- XMAX is the equilibrium mole fraction of carbon in austenite.
- T - real
- T is the temperature (in kelvin).
- W - real
- W is the carbon-carbon interaction energy (in joules per mole, Jmol-1).
- R - real
- R is the universal gas constant (in joules per mole per kelvin, Jmol-1K-1).
Output parameters
- MOLVOL - real
- MOLVOL is the molar volume of ferrite (in cubic metres per mole, m3mol-1).
- EPSI - real
- EPSI is the non-ideality parameter.
- CAPCON - real
- CAPCON is the capillarity constant.
- RADIUS - real
- RADIUS is the critical needle tip radius at which growth stops (in metres).
- RAD - real
- RAD is the ratio of the actual needle tip radius to the critical radius.
- XMAXR - real
- XMAXR is the equilibrium concentration at the plate tip, (in mole praction).
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None.
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No information supplied.
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None.
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1. Program text
DOUBLE PRECISION RADIUS,RAD,XMAX,XALPHA,XBAR,T,R,XMAXR,W,
& SIG,MOLVOL,CAPCON,EPSI
INCLUDE 'map_constants_gas.f'
READ (5,*) SIG, XBAR, XALPHA
READ (5,*) XMAX,T,W
CALL MAP_STEEL_RRADNED(RADIUS,RAD,XMAX,XALPHA,XBAR,T,R,XMAXR,W,
& SIG,MOLVOL,CAPCON,EPSI)
WRITE(6,1)SIG,MOLVOL,RADIUS,XMAXR,CAPCON,EPSI
1 FORMAT(' INTERFACIAL ENERGY=',F8.4,' JOULES/METERS SQUARED'
& ' MOLAR VOLUME OF FERRITE(METERS CUBED PER MOL)=',D15.6
& ' GIBBS THOMPSON CRITICAL RADIUS(METERS)=',D15.6
& ' EQUILIBRIUM CONC AT PLATE TIP, MOL FRAC, XMAXR=',D15.6
& ' CAPILLARITY CONSTANT CAPCON,=',D15.6
& ' NON-IDEALITY PARAMETER EPSI=',D15.6)
STOP
END
2. Program data
None supplied.
3. Program results
None supplied.
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MAP_STEEL_DCG
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Gibbs Thompson, critical radius, equilibrium concentration, austenite, ferrite, tip, needle
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Download source code
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