ADWallHeatTransferCoefficientLyonMaterial

The material computes the convective heat transfer coefficient for liquid sodium in a circular tube with constant heat flux along and around the tube using the Lyon correlation. Equation (10.126a) from Todreas and Kazimi (2021) is used.

The Nusselt number is calculated as:

$var element = document.getElementById("moose-equation-28914d73-b84d-4629-b664-3263d065745e");katex.render(" \\text{Nu} = 7 + 0.025\\text{Pe}^{0.8}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

with Pe given by

$var element = document.getElementById("moose-equation-ccaca1f1-a36c-430f-9f1c-c484e6a26e71");katex.render(" \\text{Pe} = \\text{RePr} = \\frac{{c_p}\\rho D_h}{\\mu}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

where $var element = document.getElementById("moose-equation-ead97a09-55d4-49df-8392-3e8250528577");katex.render("c_p", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the heat capacity, $var element = document.getElementById("moose-equation-ee44a461-b6f1-4790-a541-c17222084220");katex.render("\\rho", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the density, $var element = document.getElementById("moose-equation-f63c34a1-4d4a-4b0b-9695-408206bc930d");katex.render("\\mu", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the viscosity, and $var element = document.getElementById("moose-equation-dab567f9-b854-4a94-aee1-8e7b8d2d457d");katex.render("D_h", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the hydraulic diameter. The convective heat transfer coefficient, $var element = document.getElementById("moose-equation-e0644ade-7031-4a5e-84f5-779b6d5e140e");katex.render("h", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ , is calculated as:

$var element = document.getElementById("moose-equation-9d069bb9-358c-489e-bb3c-e4010c37509e");katex.render(" h = \\frac{\\text{Nu}k}{D_h}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

where $var element = document.getElementById("moose-equation-c3f8cf1d-d207-4db0-a17f-f818578dab1f");katex.render("k", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the fluid thermal conductivity.

Input Parameters

D_hD_hHydraulic diameter
Default:D_h
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Hydraulic diameter
HwHwHeat transfer coefficient material property
Default:Hw
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Heat transfer coefficient material property
TTFluid temperature
Default:T
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Fluid temperature
T_wallT_wallWall temperature
Default:T_wall
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Wall temperature
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
cpcpSpecific heat of the fluid
Default:cp
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Specific heat of the fluid
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.
kkHeat conductivity of the fluid
Default:k
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Heat conductivity of the fluid
mumuDynamic viscosity of the fluid
Default:mu
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Dynamic viscosity of the fluid
rhorhoDensity of the fluid
Default:rho
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Density of the fluid
velvelFluid velocity
Default:vel
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Fluid velocity

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
search_methodnearest_node_connected_sidesChoice of search algorithm. All options begin by finding the nearest node in the primary boundary to a query point in the secondary boundary. In the default nearest_node_connected_sides algorithm, primary boundary elements are searched iff that nearest node is one of their nodes. This is fast to determine via a pregenerated node-to-elem map and is robust on conforming meshes. In the optional all_proximate_sides algorithm, primary boundary elements are searched iff they touch that nearest node, even if they are not topologically connected to it. This is more CPU-intensive but is necessary for robustness on any boundary surfaces which has disconnections (such as Flex IGA meshes) or non-conformity (such as hanging nodes in adaptively h-refined meshes).
Default:nearest_node_connected_sides
C++ Type:MooseEnum
Options:nearest_node_connected_sides, all_proximate_sides
Controllable:No
Description:Choice of search algorithm. All options begin by finding the nearest node in the primary boundary to a query point in the secondary boundary. In the default nearest_node_connected_sides algorithm, primary boundary elements are searched iff that nearest node is one of their nodes. This is fast to determine via a pregenerated node-to-elem map and is robust on conforming meshes. In the optional all_proximate_sides algorithm, primary boundary elements are searched iff they touch that nearest node, even if they are not topologically connected to it. This is more CPU-intensive but is necessary for robustness on any boundary surfaces which has disconnections (such as Flex IGA meshes) or non-conformity (such as hanging nodes in adaptively h-refined meshes).
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

Input Files

(modules/thermal_hydraulics/test/tests/materials/ad_wall_heat_transfer_coefficient_lyon/lyon_test.i)

References

Neil E Todreas and Mujid S Kazimi. Nuclear systems volume I: Thermal hydraulic fundamentals. CRC press, 2021.

(modules/thermal_hydraulics/test/tests/materials/ad_wall_heat_transfer_coefficient_lyon/lyon_test.i)

[GlobalParams]
  execute_on = 'initial'
[]

[Problem]
  solve = false
[]

[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 1
  allow_renumbering = false
[]

[AuxVariables]
  [Hw]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [Hw_ak]
    type = ADMaterialRealAux
    variable = Hw
    property = Hw
  []
[]

[Materials]
  [props]
    #liquid sodium properties at 773 K
    type = ADGenericConstantMaterial
    prop_names = ' rho       vel    k          mu        cp     T   T_wall D_h'
    prop_values = '762.90    0.1    64.217     2.358e-4  1264.6 773 774    0.1'
  []

  [Hw_material]
    type = ADWallHeatTransferCoefficientLyonMaterial
  []
[]

[Executioner]
  type = Steady
[]

[Postprocessors]
  [Hw]
    type = ElementalVariableValue
    elementid = 0
    variable = Hw
  []
[]

[Outputs]
  csv = true
[]

Input Parameters
Input Files
References