WCNSFV2PSlipVelocityFunctorMaterial

This material computes the slip velocity between a dispersed phase and a mixture phase. The slip velocity is modeled as follows:

$var element = document.getElementById("moose-equation-a4ee8dc2-4048-4cf7-ad5c-5037e9c48b9f");katex.render(" \\bm{v}_{slip,d} = \\frac{\\tau_d}{f_{drag}} \\frac{\\rho_d - \\rho_m}{\\rho_d} \\bm{a} \\,,", element, {displayMode:true,throwOnError:false});$

where:

$var element = document.getElementById("moose-equation-34e7fa6e-a455-4a31-92f5-18675f23960f");katex.render("\\tau_d", element, {displayMode:false,throwOnError:false});$ is the particle relaxation time,
$var element = document.getElementById("moose-equation-50785664-b6b6-42f9-8d3b-a1433dfbe35f");katex.render("f_{drag}", element, {displayMode:false,throwOnError:false});$ is the linear drag coefficient function,
$var element = document.getElementById("moose-equation-3eee215b-0bd5-4366-bf3e-b5454102d817");katex.render("\\rho_d", element, {displayMode:false,throwOnError:false});$ is the density of the dispersed phase,
$var element = document.getElementById("moose-equation-2f9a8928-aab9-4b2b-9c0f-34ef6283f72d");katex.render("\\rho_m", element, {displayMode:false,throwOnError:false});$ is the density of the mixture,
$var element = document.getElementById("moose-equation-a269f884-4cf6-4db6-9574-e037719aa1f7");katex.render("\\bm{a}", element, {displayMode:false,throwOnError:false});$ is the acceleration vector.

The particle relaxation time is modeled as follows Bilicki and Kestin (1990):

$var element = document.getElementById("moose-equation-6df59704-c90c-4ee1-b0dc-37245caff187");katex.render(" \\tau_d = \\frac{\\rho_d d_d^2}{18 \\mu_m} \\,,", element, {displayMode:true,throwOnError:false});$

where:

$var element = document.getElementById("moose-equation-17f8b444-3f0b-4b17-a60c-03bddf6e22f9");katex.render("d_d", element, {displayMode:false,throwOnError:false});$ is the particle diameter,
$var element = document.getElementById("moose-equation-e47f4fc0-e20b-4cc2-b291-811b3b12220f");katex.render("\\mu_m", element, {displayMode:false,throwOnError:false});$ is the mixture dynamic viscosity.

The acceleration vector is the particle acceleration vector:

$var element = document.getElementById("moose-equation-b1e604cc-a1b9-4ebe-9c19-768741656c8d");katex.render(" \\bm{a} = \\bm{g} + \\frac{\\bm{f}}{\\rho_m} - \\bm{u}_m \\cdot \\nabla \\bm{u}_m - \\frac{\\partial \\bm{u}_m}{dt} \\,,", element, {displayMode:true,throwOnError:false});$

where:

$var element = document.getElementById("moose-equation-37ae464f-9616-4b60-8e62-8e4c67ee1735");katex.render("\\bm{g}", element, {displayMode:false,throwOnError:false});$ is the acceleration of gravity,
$var element = document.getElementById("moose-equation-3ae8a78a-6714-4747-8fac-73bd5cd4d30a");katex.render("\\bm{f}", element, {displayMode:false,throwOnError:false});$ is the volumetric force,
$var element = document.getElementById("moose-equation-d2433909-b4f3-4ca9-858d-4c05378c861d");katex.render("\\bm{u}_m", element, {displayMode:false,throwOnError:false});$ is the mixture velocity.

Input Parameters

momentum_componentThe component of the momentum equation that this kernel applies to.
C++ Type:MooseEnum
Options:x, y, z
Controllable:No
Description:The component of the momentum equation that this kernel applies to.
muMixture Density. 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:Mixture Density. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
rhoContinuous phase density. 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:Continuous phase density. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
rho_dDispersed phase density. 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:Dispersed phase density. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
slip_velocity_namethe name of the slip velocity. 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:the name of the slip velocity. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
uThe velocity in the x direction.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The velocity in the x direction.

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: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, 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.
fd0Fraction dispersed phase. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
Default:0
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:Fraction dispersed phase. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
force_direction1 0 0Gravitational acceleration vector
Default:1 0 0
C++ Type:libMesh::VectorValue<double>
Unit:(no unit assumed)
Controllable:No
Description:Gravitational acceleration vector
force_function0A function that describes the body force
Default:0
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:A function that describes the body force
force_postprocessor0A postprocessor whose value is multiplied by the body force
Default:0
C++ Type:PostprocessorName
Unit:(no unit assumed)
Controllable:No
Description:A postprocessor whose value is multiplied by the body force
force_value0Coefficient to multiply by the body force term
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Coefficient to multiply by the body force term
ghost_layers3The number of layers of elements to ghost. With Rhie-Chow and the velocity gradient calculation below, we need 3
Default:3
C++ Type:unsigned short
Controllable:No
Description:The number of layers of elements to ghost. With Rhie-Chow and the velocity gradient calculation below, we need 3
gravity0 0 0Gravity acceleration vector
Default:0 0 0
C++ Type:libMesh::VectorValue<double>
Unit:(no unit assumed)
Controllable:No
Description:Gravity acceleration vector
linear_coef_name0.44Linear friction coefficient name as a material property. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
Default:0.44
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:Linear friction coefficient name as a material property. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
particle_diameter1Diameter of particles in the dispersed phase. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
Default:1
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:Diameter of particles in the dispersed phase. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
vThe velocity in the y direction.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The velocity in the y direction.
wThe velocity in the z direction.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The velocity in the z direction.

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

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

Zbigniew Bilicki and Joseph Kestin. Physical aspects of the relaxation model in two-phase flow. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 428(1875):379–397, 1990.

@article{bilicki1990dragmodel,
    author = "Bilicki, Zbigniew and Kestin, Joseph",
    title = "Physical aspects of the relaxation model in two-phase flow",
    journal = "Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences",
    volume = "428",
    number = "1875",
    pages = "379--397",
    year = "1990",
    publisher = "The Royal Society London"
}

Input Parameters
References