About the Equilibrium with Freeze-in Temperature Nickel Property Model
The Equilibrium with Freeze-in Temperature - Ni Property Model, available with the Property Model Calculator and the Nickel Model Library, calculates equilibrium at the freeze-in temperature and evaluates the properties at a different temperature.
This Property Model is based on the General Models version but specifically implemented for use with nickel alloys.
The assumption is that diffusion and phase transformations are negligible when changing from the freeze-in-temperature and, therefore, that the phase amounts and compositions of phases are kept at the evaluation temperatures.
Typically, the freeze-in occurs during cooling where equilibrium can be assumed above the freeze-in temperature. This is the default setting and the Equilibrium above freeze-in temperature checkbox is automatically selected for this model. Change this default setting (i.e. click to clear the checkbox) when the frozen structure should be evaluated at a higher temperature than the freeze-in temperature.
The electrical resistivity due to phase interface scattering is evaluated as the scattering constant times sum of the interaction between the volume fraction of all the phases. The default value for the constant is 4.0e-8 Ωm. The contribution to thermal conductivity is assumed to be related to that of electrical resistivity, following the Wiedemann-Franz law.
A selection of homogenization functions is available for the evaluation of thermal- and electric-properties. Thermal and electric properties depend on the microstructure and the geometrical representation of phases in the microstructure can be linked to different homogenization functions. The homogenization function is applied on thermal- and electrical-resistivity. The electric conductivity, thermal conductivity, and thermal diffusivity are evaluated from the resistivities.
To run calculations with the Nickel Models requires a valid maintenance license plus licenses for both the TCNI (version 11 and newer) and MOBNI (version 5 and newer) databases. For some Property Models, additional recommendations for the database version to use is indicated in its description. Also see our website to learn more about the Nickel Model Library.
Configuration Settings
The input parameters are entered on the Configuration window for the Property Model Calculator. There are also settings on the Plot Renderer where you can choose from the available and relevant axis variables.
See Equilibrium with Freeze-in Temperature Nickel Property Model Settings.
Example
For an example see PM_Ni_01: Lattice Parameter of γ/γ'.
References
[1985Nat] M. V. Nathal, R. A. Mackay, R. G. Garlick, Temperature dependence of γ-γ’ lattice mismatch in Nickel-base superalloys. Mater. Sci. Eng. 75, 195–205 (1985).
[2019Goo] A. J. Goodfellow, L. R. Owen, K. A. Christofidou, J. Kelleher, M. C. Hardy, H. J. Stone, The Effect of Temperature and Mo Content on the Lattice Misfit of Model Ni-Based Superalloys. Metals (Basel). 9, 700 (2019).