# Thermal Properties for Fast Minor Actinide MOX

Computes the thermal conductivity for minor actinide fast MOX fuel

## Description

The ThermalMAMOX model computes the thermal conductivity for minor actinide, Np- and Am- bearing, fast MOX fuel (MA-MOX). The specific heat capacity is treated as a constant value for the correlation used.

ThermalMAMOX computes the thermal conductivity of minor actinide doped (MA) mixed oxide fuel (MOX). The thermal model that was developed by Kato et al. (2011) was used for this model. This model was based on irradiation results of experiments from the JOYO fast reactor. The experiments consisted of MOX and MA-MOX stacks of fuel with oxygen to metal ratios of 1.98 and 1.96. The correlation below was conceived from these experiments. It is important to note that the additions of 0% - 3% Am and 0% - 12% Np have been shown to have only small effects on the physical properties of the MOX fuel (Kato et al., 2011). (1) where is the effective fuel thermal conductivity in W/m-K, is the fuel porosity, is the stoichiometric deviation (2.00-x), is the americium content and is the neptunium content. Porosity can be coupled either as a field variable or as a porosity_aux AuxVariable.

## Example Input Syntax

[./ThermalMAMOX]
type = ThermalMAMOX
block = 1
temperature = T
oxy_to_metal_ratio = 2.00
Am_content = 0.0
Np_content = 0.0
porosity = porosity_var
[../]
(test/tests/mamox/thermal/ThermalMAMOX.i)

## Input Parameters

• Am_content0Weight fraction of Am in MAMOX fuel

Default:0

C++ Type:double

Description:Weight fraction of Am in MAMOX fuel

• computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the Material via MaterialPropertyInterface::getMaterial(). Non-computed Materials are not sorted for dependencies.

Default:True

C++ Type:bool

Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the Material via MaterialPropertyInterface::getMaterial(). Non-computed Materials are not sorted for dependencies.

• temperatureCoupled Temperature

C++ Type:std::vector

Description:Coupled Temperature

• Np_content0Weight fraction of Np in MAMOX fuel

Default:0

C++ Type:double

Description:Weight fraction of Np in MAMOX fuel

• fp_functionporosity reducing thermal conductivity function

C++ Type:FunctionName

Description:porosity reducing thermal conductivity function

• porosity_limit0.9Maximum allowed porosity for thermal conductivity calculation. Avoids k = 0 when porosity = 1

Default:0.9

C++ Type:double

Description:Maximum allowed porosity for thermal conductivity calculation. Avoids k = 0 when porosity = 1

• porosityCoupled Porosity from field variable

C++ Type:std::vector

Description:Coupled Porosity from field variable

• oxy_to_metal_ratio2Oxygen to metal ratio

Default:2

C++ Type:double

Description:Oxygen to metal ratio

• boundaryThe list of boundary IDs from the mesh where this boundary condition applies

C++ Type:std::vector

Description:The list of boundary IDs from the mesh where this boundary condition applies

• blockThe list of block ids (SubdomainID) that this object will be applied

C++ Type:std::vector

Description:The list of block ids (SubdomainID) that this object will be applied

### Optional Parameters

• enableTrueSet the enabled status of the MooseObject.

Default:True

C++ Type:bool

Description:Set the enabled status of the MooseObject.

• use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Default:False

C++ Type:bool

Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

• control_tagsAdds user-defined labels for accessing object parameters via control logic.

C++ Type:std::vector

Description:Adds user-defined labels for accessing object parameters via control logic.

• seed0The seed for the master random number generator

Default:0

C++ Type:unsigned int

Description:The seed for the master random number generator

• implicitTrueDetermines whether this object is calculated using an implicit or explicit form

Default:True

C++ Type:bool

Description:Determines whether this object is calculated using an implicit or explicit form

• constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeSubdomainProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped

Default:NONE

C++ Type:MooseEnum

Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeSubdomainProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped

• output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)

C++ Type:std::vector

Description:List of material properties, from this material, to output (outputs must also be defined to an output type)

• outputsnone Vector of output names were you would like to restrict the output of variables(s) associated with this object

Default:none

C++ Type:std::vector

Description:Vector of output names were you would like to restrict the output of variables(s) associated with this object

## References

1. M. Kato, K. Maeda, T. Ozawa, M. Kashimura, and Y. Kihara. Physical properties and irradiation behavior analysis of Np- and Am-bearing MOX fuels. Journal of Nuclear Science and Technology, 48:646â€“653, 2011.[BibTeX]