NaKFluidProperties

Fluid properties for NaK

These properties are based on experiments reported in the Handbook on NaK (Bomelburg et al., 1972). Most properties only depend on temperature; the fluid is considered incompressible. The fluid properties are summarized in Table 1, which reports the formulas used and their origin.

Table 1: Table of properties and references to the equations in (Bomelburg et al., 1972).

Properties	Equation	Equation #
Density liquid Na, $var element = document.getElementById("moose-equation-5037a383-6080-4d32-b729-38c687b11212");katex.render("\\rho_{Na}", element, {displayMode:false,throwOnError:false});$ (kg/m^3)	$var element = document.getElementById("moose-equation-03b6c8e9-adcb-4ac1-9334-b723b0a03f61");katex.render("0.9453 - 2.2473e-4 * T_c", element, {displayMode:false,throwOnError:false});$ ( $var element = document.getElementById("moose-equation-6242de5e-31e4-4ca6-8d34-005c96a9e833");katex.render("T_c", element, {displayMode:false,throwOnError:false});$ in C)	Equation 1.5
Density liquid K, $var element = document.getElementById("moose-equation-9a2aa947-d6d6-4a79-a2c4-0e163fef5eaa");katex.render("\\rho_K", element, {displayMode:false,throwOnError:false});$ (kg/m^3)	$var element = document.getElementById("moose-equation-bbfcf831-2b72-4ab1-82b3-24180a9bfae9");katex.render("0.8415 - 2.172e-4 * T_c - 2.7e-8 * T_c^2 + 4.77e-12 * T_c^3", element, {displayMode:false,throwOnError:false});$ ( $var element = document.getElementById("moose-equation-9d4386d6-d282-42c6-a792-54cb23a36d13");katex.render("T_c", element, {displayMode:false,throwOnError:false});$ in C)	Equation 1.8
Density liquid NaK, $var element = document.getElementById("moose-equation-24cf72bf-ae55-4231-9bd7-a04eb7365ef9");katex.render("\\rho", element, {displayMode:false,throwOnError:false});$ (kg/m^3)	$var element = document.getElementById("moose-equation-0badfbe7-ab75-4bf0-8b57-985cb21abff1");katex.render("1 / (N_K / \\rho_K + N_{Na} / \\rho_{Na})", element, {displayMode:false,throwOnError:false});$	Equation 1.9
Viscosity, $var element = document.getElementById("moose-equation-c2a62719-e120-4b60-9f11-f0cb7c01c209");katex.render("\\mu", element, {displayMode:false,throwOnError:false});$ (Pa-s)	See handbook	Equation 1.18 - 1.19
Thermal Conductivity, $var element = document.getElementById("moose-equation-91ab92f1-d952-4e0f-a726-a82d76b55d96");katex.render("k", element, {displayMode:false,throwOnError:false});$ (W/m-K)	$var element = document.getElementById("moose-equation-67cd4c43-24ad-4c64-963a-60148ce22c48");katex.render("0.214 + 2.07e-4 * T_c - 2.2e-7 * T_c^2", element, {displayMode:false,throwOnError:false});$ ( $var element = document.getElementById("moose-equation-06a53e68-2bc4-4563-93cb-4d3deb6e0082");katex.render("T_c", element, {displayMode:false,throwOnError:false});$ in C)	Equation 1.53
Isobaric Specific Heat, $var element = document.getElementById("moose-equation-17d3009e-140b-4556-8282-3019ec6e78f6");katex.render("cp", element, {displayMode:false,throwOnError:false});$ (J/kg-K)	$var element = document.getElementById("moose-equation-03e49291-b89f-42ee-93bf-4a652029f143");katex.render("0.2320 - 8.82e-5 * T_c + 8.23-8 * T_c^2", element, {displayMode:false,throwOnError:false});$ ( $var element = document.getElementById("moose-equation-4d781e3b-425c-4648-ab0c-ab5fa388b375");katex.render("T_c", element, {displayMode:false,throwOnError:false});$ in C)	Equation 1.59

Range of validity

The reported range of validity is specified for each property:

Density liquid Na 210 C $var element = document.getElementById("moose-equation-b7602ba1-8ce8-40e7-9339-f5b23198dc87");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ T $var element = document.getElementById("moose-equation-a246ce0e-51e2-4c94-9a53-3fba65b5027b");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ 1100 C
Density liquid K 63.2 C $var element = document.getElementById("moose-equation-1a9c1554-da89-4525-8af8-083614b2b6b5");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ T $var element = document.getElementById("moose-equation-dc99eb8e-35d5-4194-8dfb-3d3e4fa4aca5");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ 1250 C
Viscosity NaK 100 C $var element = document.getElementById("moose-equation-9d00de1d-a2ee-4f63-9ff3-8b70fa246581");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ T
Thermal conductivity 150 C $var element = document.getElementById("moose-equation-fd531d89-98a3-4682-a795-1d6a53c19e0b");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ T $var element = document.getElementById("moose-equation-59ac45ca-fa09-414a-b74a-d3b83c04770b");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ 680 C
Isobaric Specific Heat: unspecified. Measured from 0 to 800 C

Uncertainties of NaK Fluid Properties

The reported uncertainties in (Bomelburg et al., 1972) for NaK fluid properties are in Table 2.

note

Many NaK properties are computed from a mix of Na and K properties and the uncertainty is only reported for these individual properties. We report it here, and the user will have to perform uncertainty propagation to obtain the uncertainties for the eutectic.

Table 2: Uncertainties reported in (Bomelburg et al., 1972).

Properties	Uncertainties
Density liquid Na	0.14-0.18%
Density liquid K	0.25%
Viscosity liquid Na	3.5e-6 - 6.5e-6 Pa.s
Viscosity liquid K	7e-6 - 1.7e-5 Pa.s
Thermal Conductivity	0.8%
Isobaric Specific Heat Na	0.4%
Isobaric Specific Heat K	2-5%

Input Parameters

weight_fraction_KWeight fraction of potassium in NaK. Only eutectic is implemented (X_K = 0.778)
C++ Type:double
Controllable:No
Description:Weight fraction of potassium in NaK. Only eutectic is implemented (X_K = 0.778)

Required Parameters

execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Options:NONE, INITIAL, LINEAR, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM
Controllable:No
Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM.
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
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.

Optional Parameters

T_initial_guess400Temperature initial guess for Newton Method variable set conversion
Default:400
C++ Type:double
Controllable:No
Description:Temperature initial guess for Newton Method variable set conversion
p_initial_guess200000Pressure initial guess for Newton Method variable set conversion
Default:200000
C++ Type:double
Controllable:No
Description:Pressure initial guess for Newton Method variable set conversion
tolerance1e-08Tolerance for 2D Newton variable set conversion
Default:1e-08
C++ Type:double
Controllable:No
Description:Tolerance for 2D Newton variable set conversion

Variable Set Conversions Newton Solve Parameters

allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
allow_imperfect_jacobiansFalsetrue to allow unimplemented property derivative terms to be set to zero for the AD API
Default:False
C++ Type:bool
Controllable:No
Description:true to allow unimplemented property derivative terms to be set to zero for the AD API
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.
execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
fp_typesingle-phase-fpType of the fluid property object
Default:single-phase-fp
C++ Type:FPType
Controllable:No
Description:Type of the fluid property object
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

References

H.J. Bomelburg, C.R.F. Smith, H.N. Royden, V.A. Swanson, A.W. Thiele, and R.J. Tuttle. Sodium-nak engineering handbook volume i sodium chemistry and physical properties, chapter 1: physical properties. Technical Report ISBN 0 677 03020 4, Under the auspices of the United States Atomic Energy Commission, 1972.

@techreport{NaKHandbook,
    author = "Bomelburg, H.J. and Smith, C.R.F. and Royden, H.N. and Swanson, V.A. and Thiele, A.W. and Tuttle, R.J.",
    title = "SODIUM-NaK ENGINEERING HANDBOOK Volume I Sodium Chemistry and Physical Properties, Chapter 1: Physical Properties",
    institution = "Under the auspices of the United States Atomic Energy Commission",
    number = "ISBN 0 677 03020 4",
    year = "1972"
}

Range of validity
Uncertainties of NaK Fluid Properties
Input Parameters
References