ADElectricalConductivity

Calculates resistivity and electrical conductivity as a function of temperature, using copper for parameter defaults.

Overview

ADElectricalConductivity is the implementation of an electric conductivity material property as in ElectricalConductivity within the framework of automatic differentiation.

warning:Assumptions

It is assumed here that resistivity varies linearly with temperature. This is acceptable for small variations in temperature, but may break down if there are larger temperature variations.

Resistivity ( $var element = document.getElementById("moose-equation-a81a405c-5c6a-46cd-a075-d6382851e31c");katex.render("\\rho_{elec}", element, {displayMode:false,throwOnError:false});$ ) with respect to temperature $var element = document.getElementById("moose-equation-9a132bad-9064-451c-ad97-364e55f9ca24");katex.render("T", element, {displayMode:false,throwOnError:false});$ is defined as

$var element = document.getElementById("moose-equation-da08be5d-aed1-4530-bf0d-3800d7889ce6");katex.render(" \\rho_{elec}(T) = \\rho_{ref} [1 + \\alpha(T - T_{ref})]", element, {displayMode:true,throwOnError:false});$

where $var element = document.getElementById("moose-equation-9f9d571c-35ce-4030-9940-3404fd42c1fc");katex.render("\\rho_{ref}", element, {displayMode:false,throwOnError:false});$ is the reference resistivity of the material, $var element = document.getElementById("moose-equation-afab75db-28c3-4d01-96ca-be0c37f311c2");katex.render("\\alpha", element, {displayMode:false,throwOnError:false});$ is the temperature coefficient of the material, and $var element = document.getElementById("moose-equation-b6cc7b00-7cb8-4dea-9692-22fa750d2921");katex.render("T_{ref}", element, {displayMode:false,throwOnError:false});$ is the reference temperature.

Electrical conductivity can then be calculated via

$var element = document.getElementById("moose-equation-c1193d30-e17e-471a-84b7-9ca6ba1b1cb9");katex.render(" \\sigma_{elec} = \\frac{1}{\\rho_{elec}}", element, {displayMode:true,throwOnError:false});$

note:Default parameter values

The defaults used for the parameters in this object are taken from published values for Copper.

Example Input File Syntax

An example of how to use ADElectricalConductivity can be found in the heat transfer module test transient_ad_jouleheating.i.

[Materials<<<{"href": "../../syntax/Materials/index.html"}>>>]
  [sigma]
    #copper is default material
    type = ADElectricalConductivity<<<{"description": "Calculates resistivity and electrical conductivity as a function of temperature, using copper for parameter defaults.", "href": "ElectricalConductivity.html"}>>>
    temperature<<<{"description": "Coupled variable for temperature."}>>> = T
  []
[]

Input Parameters

base_nameMaterial property base name.
C++ Type:std::string
Controllable:No
Description:Material property base name.
blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
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 computeQpProperties() 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
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
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 computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
reference_resistivity1.68e-08Electrical resistivity of the material at reference temperature (default is copper resistivity in ohm-m).
Default:1.68e-08
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Electrical resistivity of the material at reference temperature (default is copper resistivity in ohm-m).
reference_temperature293Reference temperature for Electrical resistivity in Kelvin.
Default:293
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Reference temperature for Electrical resistivity in Kelvin.
temperature293.0Coupled variable for temperature.
Default:293.0
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Coupled variable for temperature.
temperature_coefficient0.00386Coefficient for calculating dependence of resistivity on temperature (with copper as the default material).
Default:0.00386
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Coefficient for calculating dependence of resistivity on temperature (with copper as the default material).

Optional Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
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
Controllable:No
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.

Advanced Parameters

output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object

Outputs Parameters

prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

Material Property Retrieval Parameters

(moose/modules/heat_transfer/test/tests/joule_heating/transient_ad_jouleheating.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
  xmax = 5
  ymax = 5
[]

[Variables]
  [T]
    initial_condition = 293.0 #in K
  []
  [elec]
  []
[]

[Kernels]
  [HeatDiff]
    type = ADHeatConduction
    variable = T
  []
  [HeatTdot]
    type = ADHeatConductionTimeDerivative
    variable = T
  []
  [HeatSrc]
    type = ADJouleHeatingSource
    variable = T
    heating_term = 'electric_field_heating'
  []
  [electric]
    type = ADHeatConduction
    variable = elec
    thermal_conductivity = electrical_conductivity
  []
[]

[BCs]
  [lefttemp]
    type = ADDirichletBC
    boundary = left
    variable = T
    value = 293 #in K
  []
  [elec_left]
    type = ADDirichletBC
    variable = elec
    boundary = left
    value = 1 #in V
  []
  [elec_right]
    type = ADDirichletBC
    variable = elec
    boundary = right
    value = 0
  []
[]

[Materials]
  [ElectromagneticMaterial]
    type = ElectromagneticHeatingMaterial
    electric_field = elec
    electric_field_heating_name = electric_field_heating
    electrical_conductivity = electrical_conductivity
    formulation = 'time'
    solver = 'electrostatic'
  []
  [k]
    type = ADGenericConstantMaterial
    prop_names = 'thermal_conductivity'
    prop_values = '397.48' #copper in W/(m K)
  []
  [cp]
    type = ADGenericConstantMaterial
    prop_names = 'specific_heat'
    prop_values = '385.0' #copper in J/(kg K)
  []
  [rho]
    type = ADGenericConstantMaterial
    prop_names = 'density'
    prop_values = '8920.0' #copper in kg/(m^3)
  []
  [sigma] #copper is default material
    type = ADElectricalConductivity
    temperature = T
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  scheme = bdf2
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'hypre'
  dt = 1
  end_time = 5
  automatic_scaling = true
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

Overview
Example Input File Syntax
Input Parameters

Usage

Development

Demonstration