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, $var element = document.getElementById("moose-equation-5d193bfc-3557-4543-8d7b-5ecbfdf632ae");katex.render("\\rho_{Na}", element, {displayMode:false,throwOnError:false});$ (kg/m^3)	$var element = document.getElementById("moose-equation-e9fac8f5-078e-4e4b-8c3b-4d04eeb5983a");katex.render("0.9453 - 2.2473e-4 * T_c", element, {displayMode:false,throwOnError:false});$ ( $var element = document.getElementById("moose-equation-b39afc34-6670-46e6-b9b5-1ed5143ef06a");katex.render("T_c", element, {displayMode:false,throwOnError:false});$ in C)	Equation 1.5
Density liquid K, $var element = document.getElementById("moose-equation-3c97d40e-16de-4d61-8e97-c14b50a718c9");katex.render("\\rho_K", element, {displayMode:false,throwOnError:false});$ (kg/m^3)	$var element = document.getElementById("moose-equation-ad051e6a-d487-4f43-9397-31e808c0680f");katex.render("0.8415 - 2.172e-4 * T_c - 2.7e-8 * T_c^2 + 4.77e-12 * T_c^3", element, {displayMode:false,throwOnError:false});$ ( $var element = document.getElementById("moose-equation-a1b51632-b6bf-419c-9cc7-19678c55f6fb");katex.render("T_c", element, {displayMode:false,throwOnError:false});$ in C)	Equation 1.8
Density liquid NaK, $var element = document.getElementById("moose-equation-89a61bcd-3833-4c45-8477-71b742f9c004");katex.render("\\rho", element, {displayMode:false,throwOnError:false});$ (kg/m^3)	$var element = document.getElementById("moose-equation-bf27c4eb-7a9c-4983-a6ec-981b3668d4e0");katex.render("1 / (N_K / \\rho_K + N_{Na} / \\rho_{Na})", element, {displayMode:false,throwOnError:false});$	Equation 1.9
Viscosity, $var element = document.getElementById("moose-equation-5d9f67a0-7e03-4ae4-a27d-2d9b8f160b2e");katex.render("\\mu", element, {displayMode:false,throwOnError:false});$ (Pa-s)	See handbook	Equation 1.18 - 1.19
Thermal Conductivity, $var element = document.getElementById("moose-equation-ec2c734e-e2ff-4f48-96b2-c4f361f32c69");katex.render("k", element, {displayMode:false,throwOnError:false});$ (W/m-K)	$var element = document.getElementById("moose-equation-f2dfc571-3b3f-46a2-bd0f-e0d24bbceb24");katex.render("0.214 + 2.07e-4 * T_c - 2.2e-7 * T_c^2", element, {displayMode:false,throwOnError:false});$ ( $var element = document.getElementById("moose-equation-a8199dfb-3e68-4557-a37b-e51f5c7e03a8");katex.render("T_c", element, {displayMode:false,throwOnError:false});$ in C)	Equation 1.53
Isobaric Specific Heat, $var element = document.getElementById("moose-equation-d920c092-af91-48e8-a6ec-94f1318de923");katex.render("cp", element, {displayMode:false,throwOnError:false});$ (J/kg-K)	$var element = document.getElementById("moose-equation-300b48b5-46aa-4255-9f11-7bb4a1b7a06f");katex.render("0.2320 - 8.82e-5 * T_c + 8.23-8 * T_c^2", element, {displayMode:false,throwOnError:false});$ ( $var element = document.getElementById("moose-equation-f77a3c6e-e6af-4eae-bdc0-9a125c02c3fe");katex.render("T_c", element, {displayMode:false,throwOnError:false});$ in C)	Equation 1.59

Range of validity

The reported range of validity is specified for each property:

Density liquid Na 210 C $var element = document.getElementById("moose-equation-f1387ab5-899e-40f2-aa32-8c1d53e003f0");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ T $var element = document.getElementById("moose-equation-7d983390-8b40-4bc2-bae4-257a179e098d");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ 1100 C
Density liquid K 63.2 C $var element = document.getElementById("moose-equation-863ae6f3-6754-452e-a0ae-7d383b931835");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ T $var element = document.getElementById("moose-equation-878e3574-c117-49a4-829d-f6364f249f90");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ 1250 C
Viscosity NaK 100 C $var element = document.getElementById("moose-equation-fcc74107-46fa-49cf-9285-ecf64d701128");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ T
Thermal conductivity 150 C $var element = document.getElementById("moose-equation-520f6004-24cf-473a-b3f0-1721d65d8345");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ T $var element = document.getElementById("moose-equation-bb0f875e-4982-4d6d-ad6a-f322604d2a44");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ 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
Unit:(no unit assumed)
Controllable:No
Description:Weight fraction of potassium in NaK. Only eutectic is implemented (X_K = 0.778)

Required Parameters

T_initial_guess400Temperature initial guess for Newton Method variable set conversion
Default:400
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Temperature initial guess for Newton Method variable set conversion
max_newton_its100Maximum number of Newton iterations for variable set conversions
Default:100
C++ Type:unsigned int
Controllable:No
Description:Maximum number of Newton iterations for variable set conversions
p_initial_guess200000Pressure initial guess for Newton Method variable set conversion
Default:200000
C++ Type:double
Unit:(no unit assumed)
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
Unit:(no unit assumed)
Controllable:No
Description:Tolerance for 2D Newton variable set conversion

Variable Set Conversions Newton Solve Parameters

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.
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

Advanced 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

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