# Copyright 2019 TerraPower, LLC
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
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# http://www.apache.org/licenses/LICENSE-2.0
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"""Hastelloy-N is a high-nickel structural material invented by ORNL for handling molten fluoride salts."""
from armi.materials.material import Material
from armi.utils.units import getTk, getTc
[docs]class HastelloyN(Material):
r"""
Hastelloy N alloy (UNS N10003).
.. [Haynes] Haynes International, H-2052D 2020
(http://haynesintl.com/docs/default-source/pdfs/new-alloy-brochures/corrosion-resistant-alloys/brochures/n-brochure.pdf)
.. [SAB] Sabharwall, et. al.
Feasibility Study of Secondary Heat Exchanger Concepts for the Advanced High Temperature Reactor
INL/EXT-11-23076, 2011
"""
materialIntro = (
"Hastelloy N alloy is a nickel-base alloy that was invented at Oak RIdge National Laboratories "
"as a container material for molten fluoride salts. It has good oxidation resistance to hot fluoride "
"salts in the temperature range of 704 to 871C (1300 to 1600F)"
)
propertyValidTemperature = {
"thermal conductivity": ((473.15, 973.15), "K"),
"heat capacity": ((373.15, 973.15), "K"),
"thermal expansion": ((293.15, 1173.15), "K"),
}
refTempK = 293.15
[docs] def setDefaultMassFracs(self):
"""
Hastelloy N mass fractions.
From [Haynes]_.
"""
self.setMassFrac("CR", 0.07)
self.setMassFrac("MO", 0.16)
self.setMassFrac("FE", 0.04) # max.
self.setMassFrac("SI", 0.01) # max.
self.setMassFrac("MN", 0.0080) # max.
self.setMassFrac("V", 0.0005) # max.
self.setMassFrac("C", 0.0006)
self.setMassFrac("CO", 0.0020) # max.
self.setMassFrac("CU", 0.0035) # max.
self.setMassFrac("W", 0.005) # max.
self.setMassFrac("AL", 0.0025) # max.
self.setMassFrac("TI", 0.0025) # max.
self.setMassFrac("NI", 1.0 - sum(self.massFrac.values())) # balance
self.refDens = 8.86
[docs] def thermalConductivity(self, Tk=None, Tc=None):
r"""
Calculates the thermal conductivity of Hastelloy N.
Second order polynomial fit to data from [Haynes]_.
Parameters
----------
Tk : float
Temperature in (K)
Tc : float
Temperature in (C)
Returns
-------
Hastelloy N thermal conductivity (W/m-K)
"""
Tc = getTc(Tc, Tk)
Tk = getTk(Tc=Tc)
self.checkPropertyTempRange("thermal conductivity", Tk)
return 1.92857e-05 * Tc**2 + 3.12857e-03 * Tc + 1.17743e01 # W/m-K
[docs] def heatCapacity(self, Tk=None, Tc=None):
r"""
Calculates the specific heat capacity of Hastelloy N.
Sixth order polynomial fit to data from Table 2-20 [SAB]_ (R^2=0.97).
Parameters
----------
Tk : float
Temperature in (K)
Tc : float
Temperature in (C)
Returns
-------
Hastelloy N specific heat capacity (J/kg-C)
"""
Tc = getTc(Tc, Tk)
Tk = getTk(Tc=Tc)
self.checkPropertyTempRange("heat capacity", Tk)
return (
+3.19981e02
+ 2.47421e00 * Tc
- 2.49306e-02 * Tc**2
+ 1.32517e-04 * Tc**3
- 3.58872e-07 * Tc**4
+ 4.69003e-10 * Tc**5
- 2.32692e-13 * Tc**6
)
[docs] def linearExpansionPercent(self, Tk=None, Tc=None):
r"""
average thermal expansion dL/L. Used for computing hot dimensions.
Parameters
----------
Tk : float
temperature in (K)
Tc : float
Temperature in (C)
Returns
-------
%dLL(T) in m/m/K
"""
Tc = getTc(Tc, Tk)
refTempC = getTc(Tk=self.refTempK)
return 100.0 * self.meanCoefficientThermalExpansion(Tc=Tc) * (Tc - refTempC)
[docs] def meanCoefficientThermalExpansion(self, Tk=None, Tc=None):
r"""
Mean coefficient of thermal expansion for Hastelloy N.
Second order polynomial fit of data from [Haynes]_.
Parameters
----------
Tk : float
temperature in (K)
Tc : float
Temperature in (C)
Returns
-------
mean coefficient of thermal expansion in m/m/C
"""
Tc = getTc(Tc, Tk)
Tk = getTk(Tc=Tc)
self.checkPropertyTempRange("thermal expansion", Tk)
return 2.60282e-12 * Tc**2 + 7.69859e-10 * Tc + 1.21036e-05