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).

PropertiesEquationEquation #
Density liquid Na, ρNa\rho_{Na} (kg/m^3)0.94532.2473e4Tc0.9453 - 2.2473e-4 * T_c (TcT_c in C)Equation 1.5
Density liquid K, ρK\rho_K (kg/m^3)0.84152.172e4Tc2.7e8Tc2+4.77e12Tc30.8415 - 2.172e-4 * T_c - 2.7e-8 * T_c^2 + 4.77e-12 * T_c^3 (TcT_c in C)Equation 1.8
Density liquid NaK, ρ\rho (kg/m^3)1/(NK/ρK+NNa/ρNa)1 / (N_K / \rho_K + N_{Na} / \rho_{Na})Equation 1.9
Viscosity, μ\mu (Pa-s)See handbookEquation 1.18 - 1.19
Thermal Conductivity, kk (W/m-K)0.214+2.07e4Tc2.2e7Tc20.214 + 2.07e-4 * T_c - 2.2e-7 * T_c^2 (TcT_c in C)Equation 1.53
Isobaric Specific Heat, cpcp (J/kg-K)0.23208.82e5Tc+8.238Tc20.2320 - 8.82e-5 * T_c + 8.23-8 * T_c^2 (TcT_c in C)Equation 1.59

Range of validity

The reported range of validity is specified for each property:

  • Density liquid Na 210 C \le T \le 1100 C

  • Density liquid K 63.2 C \le T \le 1250 C

  • Viscosity NaK 100 C \le T

  • Thermal conductivity 150 C \le T \le 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.

commentnote

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).

PropertiesUncertainties
Density liquid Na0.14-0.18%
Density liquid K0.25%
Viscosity liquid Na3.5e-6 - 6.5e-6 Pa.s
Viscosity liquid K7e-6 - 1.7e-5 Pa.s
Thermal Conductivity0.8%
Isobaric Specific Heat Na0.4%
Isobaric Specific Heat K2-5%

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

  • execute_onTIMESTEP_ENDThe 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:TIMESTEP_END

    C++ Type:ExecFlagEnum

    Unit:(no unit assumed)

    Options:NONE, INITIAL, LINEAR, NONLINEAR_CONVERGENCE, 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. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.

  • 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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

    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_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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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>

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

  1. 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.[BibTeX]