(AD)ChurchillChuHTCFunctorMaterial

This functor material computes a heat transfer coefficient $var element = document.getElementById("moose-equation-caeea776-a7e9-4ffb-a0f7-fabdffe5871c");katex.render("h", element, {displayMode:false,throwOnError:false});$ due to natural convection heat between a long, horizontal, cylindrical, heated solid surface and a fluid using functors. The corresponding heat transfer is:

var element = document.getElementById("moose-equation-cb27da66-0eea-4f3e-821e-25bb1e35fe5e");katex.render("q \\equiv \\mathbf{q}\\cdot\\mathbf{n}_\\text{solid} = h (T_\\text{solid} - T_\\text{fluid}) \\,,", element, {displayMode:true,throwOnError:false});

The heat transfer coefficient $var element = document.getElementById("moose-equation-4e70284a-3dc0-4965-8419-b9d5cd1d4f89");katex.render("h", element, {displayMode:false,throwOnError:false});$ is computed using the non-dimensional Churchill-Chu correlation Churchill and Chu (1975):

var element = document.getElementById("moose-equation-4ebe4f25-b08d-45f5-861f-7a97445d8965");katex.render("\\text{Nu}_D = \\left[0.6 + \\frac{0.387 \\text{Ra}_D^{1/6}}{\\left[1 + \\left(\\frac{0.559}{\\text{Pr}}\\right)^{9/16}\\right]^{8/27}}\\right]^2", element, {displayMode:true,throwOnError:false});

The non-dimensional parameters are:

Nusselt

var element = document.getElementById("moose-equation-b34e74b2-d611-496d-9649-29b7450678b9");katex.render("\\text{Nu}_D = \\frac{hD}{k}", element, {displayMode:true,throwOnError:false});

Prandtl, given by /FunctorMaterials/ChurchillChuHTCFunctorMaterial/Pr

var element = document.getElementById("moose-equation-f3ec29c2-66fb-44f8-bf67-99331fcb4e24");katex.render("\\text{Pr} = \\frac{\\mu c_p}{k}", element, {displayMode:true,throwOnError:false});

Rayleigh (Grashof times Prandtl), where Grashof is given by /FunctorMaterials/ChurchillChuHTCFunctorMaterial/Gr

var element = document.getElementById("moose-equation-f39ea221-3464-49b5-a54e-662181938617");katex.render("\\text{Ra}_D = \\text{Gr}_D \\cdot \\text{Pr} = \\frac{g\\beta(T_\\text{solid} - T_\\text{fluid})D^3\\rho^2c_p}{\\mu k}", element, {displayMode:true,throwOnError:false});

where

$var element = document.getElementById("moose-equation-4e05d60d-606f-453d-8a6d-0d1ce922c668");katex.render("h", element, {displayMode:false,throwOnError:false});$ is the heat transfer coefficient, given by /FunctorMaterials/ChurchillChuHTCFunctorMaterial/htc_name,
$var element = document.getElementById("moose-equation-855f6623-4fe2-4198-85d9-03eb531ecaac");katex.render("\\mathbf{n}_\\text{solid}", element, {displayMode:false,throwOnError:false});$ is the outward normal unit vector from the solid surface,
$var element = document.getElementById("moose-equation-19e1f6f4-4e9a-4f53-9c06-61d11b53d452");katex.render("T_\\text{solid}", element, {displayMode:false,throwOnError:false});$ is the solid temperature,
$var element = document.getElementById("moose-equation-ea3981f5-a935-44e1-92bb-68cd4c010c70");katex.render("T_\\text{fluid}", element, {displayMode:false,throwOnError:false});$ is the fluid temperature,
$var element = document.getElementById("moose-equation-ed439e1c-c907-478e-baa3-6ca0eb64f1fb");katex.render("D", element, {displayMode:false,throwOnError:false});$ is the solid cylinder diameter, given by /FunctorMaterials/ChurchillChuHTCFunctorMaterial/diameter
$var element = document.getElementById("moose-equation-8d150cf5-7e23-4e46-ac28-96a6749cdaeb");katex.render("k", element, {displayMode:false,throwOnError:false});$ is the fluid thermal conductivity, given by /FunctorMaterials/ChurchillChuHTCFunctorMaterial/k_fluid
$var element = document.getElementById("moose-equation-6777629a-98a6-4601-bb28-e29dbc435bb7");katex.render("\\mu", element, {displayMode:false,throwOnError:false});$ is the fluid dynamic viscosity,
$var element = document.getElementById("moose-equation-9130f291-ab6d-4237-9153-06aa0a8d6379");katex.render("c_p", element, {displayMode:false,throwOnError:false});$ is the fluid isobaric specific heat,
$var element = document.getElementById("moose-equation-ef134084-3400-40fc-b3cc-b91c98441b7a");katex.render("g", element, {displayMode:false,throwOnError:false});$ is the gravitational acceleration, 9.807 m/s $var element = document.getElementById("moose-equation-29bd694b-259c-495d-b5a7-90d33d07c9b1");katex.render("^2", element, {displayMode:false,throwOnError:false});$ ,
$var element = document.getElementById("moose-equation-aa04dfed-0e6c-4fdf-92f2-d70151814a53");katex.render("\\beta", element, {displayMode:false,throwOnError:false});$ is the fluid volumetric expansion coefficient,
$var element = document.getElementById("moose-equation-9827efc9-6c85-42c6-b4d8-d75f3875e8cc");katex.render("\\rho", element, {displayMode:false,throwOnError:false});$ is the fluid density.

The correlation in generally valid for air with $var element = document.getElementById("moose-equation-394b8044-0ddf-44cc-b5d3-eb3ce1e51cb8");katex.render("10^{-7}\\lt \\text{Ra}_D\\lt 10^{13}", element, {displayMode:false,throwOnError:false});$ .

The AD version of this class is used to retrieve all of the input functors with AD types.

Input Parameters

GrGrashof number functor. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:Grashof number functor. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
PrFluid Prandtl number functor. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:Fluid Prandtl number functor. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
diameterCylinder diameter [m]
C++ Type:Real
Unit:(no unit assumed)
Controllable:No
Description:Cylinder diameter [m]
htc_nameName to give the heat transfer coefficient functor material property
C++ Type:std::string
Controllable:No
Description:Name to give the heat transfer coefficient functor material property
k_fluidFluid thermal conductivity functor [W/(m-K)]. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:Fluid thermal conductivity functor [W/(m-K)]. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.

Required Parameters

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
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.
execute_onALWAYSThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:ALWAYS
C++ Type:ExecFlagEnum
Options:XFEM_MARK, NONE, INITIAL, LINEAR, LINEAR_CONVERGENCE, NONLINEAR, NONLINEAR_CONVERGENCE, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, MULTIAPP_FIXED_POINT_CONVERGENCE, MULTISYSTEM_FIXED_POINT_ITERATION_END, FINAL, CUSTOM, ALWAYS
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.

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

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

References

Stuart W. Churchill and Humbert H.S. Chu. Correlating equations for laminar and turbulent free convection from a horizontal cylinder. International Journal of Heat and Mass Transfer, 18(9):1049–1053, 1975. URL: https://www.sciencedirect.com/science/article/pii/0017931075902227, doi:https://doi.org/10.1016/0017-9310(75)90222-7.

BibTeX

@article{churchill1975,
    author = "Churchill, Stuart W. and Chu, Humbert H.S.",
    title = "Correlating equations for laminar and turbulent free convection from a horizontal cylinder",
    journal = "International Journal of Heat and Mass Transfer",
    volume = "18",
    number = "9",
    pages = "1049-1053",
    year = "1975",
    issn = "0017-9310",
    doi = "https://doi.org/10.1016/0017-9310(75)90222-7",
    url = "https://www.sciencedirect.com/science/article/pii/0017931075902227"
}

RIS

TY  - JOUR
AU  - Churchill, Stuart W.
AU  - Chu, Humbert H.S.
TI  - Correlating equations for laminar and turbulent free convection from a horizontal cylinder
JO  - International Journal of Heat and Mass Transfer
PY  - 1975
VL  - 18
IS  - 9
DO  - https://doi.org/10.1016/0017-9310(75)90222-7
UR  - https://www.sciencedirect.com/science/article/pii/0017931075902227
SP  - 1049
EP  - 1053
ER  -

Plain Text

Stuart W. Churchill and Humbert H.S. Chu. Correlating equations for laminar and turbulent free convection from a horizontal cylinder. International Journal of Heat and Mass Transfer, 18(9):1049-1053, 1975. URL: https://www.sciencedirect.com/science/article/pii/0017931075902227, doi:https://doi.org/10.1016/0017-9310(75)90222-7.

Input Parameters
References