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MATERIALS / PROPERTIES & DEFINITIONS

Materials

Material properties and OpenMC definitions for the GFMR reference specification.

FUNaK fuel

Fuel salt. Reference 1.

Property Specification
Composition 26.4 UF4 – 24.7 KF – 48.9 NaF mol%
Reference enrichment 2.12% (OpenMC uranium enrichment parameter)
Density ρ = 4.808 − 0.00113 T g/cm3, T in °C
Viscosity η = 736.58 exp(−0.006 T) mPa s, T in °C
Heat capacity Cp = 900 J kg−1 K−1
Thermal conductivity Awaiting specification

OpenMC definition

Listing 1 · FUNaK fuel
fuel = openmc.Material(name='fuel')
fuel.add_element('Na', 0.1751432664756447, 'ao')
fuel.add_element('K', 0.08846704871060172, 'ao')
fuel.add_element('F', 0.6418338108882521, 'ao')
fuel.add_element('U', 0.094555874, 'ao', enrichment=enrichment)
density_fuel = 4.808 - 0.00113 * (temperature_fuel_C)
fuel.set_density('g/cm3', density_fuel)
fuel.temperature = temperature_fuel_K

Graphite

Moderator / reflector. References 2, 3.

Property Specification
Composition Carbon 99.9999 atom%; boron 0.0001 atom% (1 atomic ppm)
Density 1.7 g/cm3
Specific heat capacity Awaiting specification
Thermal conductivity K = 25 W m−1 K−1 (constant in the current specification)
Thermal conductivity versus dpa Awaiting specification of K(T, dpa), graphite grade, and irradiation conditions

Here, dpa means displacements per atom. The constant conductivity above does not define an irradiation-dependent correlation.

OpenMC definition

Listing 2 · Graphite moderator
moderator = openmc.Material(name='graphite')
moderator.add_element('C', 0.999999)
moderator.add_element('B', 0.000001)
moderator.set_density('g/cm3', 1.7)
moderator.add_s_alpha_beta('c_Graphite')
moderator.temperature = t_graphite_K

Hafnium

Absorber. Reference 4.

Property Specification
Composition Pure hafnium, natural isotopic composition
Density 13.3 g/cm3
Specific heat capacity Awaiting specification
Thermal conductivity Awaiting specification

OpenMC definition

Listing 3 · Hafnium absorber
absorber = openmc.Material(name='control_rod')
absorber.add_element('Hf', 1.0, 'ao')
absorber.set_density('g/cm3', 13.3)
absorber.temperature = temperature_fuel_K

Hastelloy N

Guide tube. Reference 5.

Property Specification
Composition Ni 71%, Cr 7%, Mo 16%, Fe 4%, Si 1%, Mn 0.8%, V 0.2% by mass
Density 8.86 g/cm3
Specific heat capacity Awaiting specification
Thermal conductivity Awaiting specification

OpenMC definition

Listing 4 · Hastelloy N guide tube
guide_tube_material.add_element('Ni', 71, percent_type='wo')
guide_tube_material.add_element('Cr', 7, percent_type='wo')
guide_tube_material.add_element('Mo', 16, percent_type='wo')
guide_tube_material.add_element('Fe', 4, percent_type='wo')
guide_tube_material.add_element('Si', 1, percent_type='wo')
guide_tube_material.add_element('Mn', 0.8, percent_type='wo')
guide_tube_material.add_element('V', 0.2, percent_type='wo')
guide_tube_material.set_density('g/cm3', 8.86)
guide_tube_material.temperature = temperature_fuel_K

Helium

Gap. Reference 6.

Property Specification
Composition Pure helium, natural isotopic composition
Density 0.0001785 g/cm3 (fixed in the OpenMC definition)
Specific heat capacity Awaiting specification
Thermal conductivity Awaiting specification

OpenMC definition

Listing 5 · Helium gap
helium = openmc.Material(name='helium')
helium.add_element('He', 1.0)
helium.set_density('g/cm3', 0.0001785)
helium.temperature = temperature_fuel_K

Entries marked “Awaiting specification” are not yet defined in the GFMR model. Temperature-dependent properties and the graphite irradiation correlation will be added when those model inputs are available.