# MOX Actinide Redistribution

MOX kernel used to simulate actinide redistribution.

## Description

Actinide migration, or redistribution, is modeled by thermal diffusion and vapor transport. This kernel comes from Equation 6 in Di Marcello et al. (2014). This class [MOXActinideRedistribution], constructs the second term of that equation: (1) where is the actinide concentration, is the porosity, is the pore velocity, is the temperature, is the diffusion coefficient, is the universal gas constant, is the effective molar heat of transport, is the pore thickness, is the pore diameter, and is a scaling parameter (default is 1.0). The pore speed, , comes from a calculation performed in MOXPoreVelocity or MOXPoreVelocityVaporPressure. The diffusion coefficient, is defined by the following equation for Pu and Am: (2)

(3)

The last term in Equation (1) is defined by the class MOXActinideRedistributionEnhancement

under construction

This class is still under development!

See bison/test/tests/mox_pore_velocity/ for examples of how this class should be used.

## Input Parameters

• variableThe name of the variable that this Kernel operates on

C++ Type:NonlinearVariableName

Description:The name of the variable that this Kernel operates on

• temperatureTemperature.

C++ Type:std::vector

Description:Temperature.

### Required Parameters

• heating_functionfunction for ralp

C++ Type:FunctionName

Description:function for ralp

• scale_factor1scale_factor

Default:1

C++ Type:double

Description:scale_factor

• hmax1hmax

Default:1

C++ Type:double

Description:hmax

• v_upper1v_upper

Default:1

C++ Type:double

Description:v_upper

• v_lower1v_lower

Default:1

C++ Type:double

Description:v_lower

• debugFalseWhether or not to print debug information

Default:False

C++ Type:bool

Description:Whether or not to print debug information

• 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.

• save_inThe name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)

C++ Type:std::vector

Description:The name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)

• 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

• diag_save_inThe name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)

C++ Type:std::vector

Description:The name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)

• 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

• vector_tagsnontimeThe tag for the vectors this Kernel should fill

Default:nontime

C++ Type:MultiMooseEnum

Description:The tag for the vectors this Kernel should fill

• extra_vector_tagsThe extra tags for the vectors this Kernel should fill

C++ Type:std::vector

Description:The extra tags for the vectors this Kernel should fill

• matrix_tagssystemThe tag for the matrices this Kernel should fill

Default:system

C++ Type:MultiMooseEnum

Description:The tag for the matrices this Kernel should fill

• extra_matrix_tagsThe extra tags for the matrices this Kernel should fill

C++ Type:std::vector

Description:The extra tags for the matrices this Kernel should fill

## References

1. Valentino Di Marcello, Vincenzo Rondinella, Arndt Schubert, and Jacques van de Larr. Modeling actinide redistribution in mixed oxide fuel for sodium fast reactors. Progress in Nuclear Energy, 72:83â€“90, 2014.[BibTeX]