FlinakFluidProperties

Fluid properties for flinak

Description

The FlinakFluidProperties class provides fluid properties for a molar eutectic composition of 46.5% LiF, 11.5% NaF, and 42% KF, commonly referred to as 'flinak'.

Density is calculated from Richard et al. (2014), but with a pressure dependence added to ensure finite derivatives with respect to pressure needed by some applications. The partial derivative of density with respect to pressure is assumed to be 1.7324e-7 kg/m $var element = document.getElementById("moose-equation-f87636fa-8749-4520-90a0-bd584048fe1d");katex.render("^3", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ /Pa Richard et al. (2014), but this may be set to a user-defined value. Slightly increasing the partial derivative of density with respect to pressure may improve convergence of compressible flow equations without significantly affecting the physical accuracy of the density estimation Scarlat (2012). In the absence of the pressure dependence, the uncertainty on density is $var element = document.getElementById("moose-equation-6fa44392-05f4-4bb2-929c-28b300031b3f");katex.render("\\pm", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ 2% Richard et al. (2014).

Viscosity, isobaric specific heat, and thermal conductivity are calculated with uncertainties of $var element = document.getElementById("moose-equation-968b81cf-2bf4-400a-969a-8fc3b3aeef13");katex.render("\\pm", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ 20%, $var element = document.getElementById("moose-equation-63564260-6972-4bf3-9110-046943bea6dd");katex.render("\\pm", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ 20%, and $var element = document.getElementById("moose-equation-de5ea348-e9f6-494d-b754-1754e2dc1706");katex.render("\\pm", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ 15%, respectively Richard et al. (2014).

Isochoric specific heat is calculated according to its definition as

$var element = document.getElementById("moose-equation-4e2974a2-4874-46aa-ac48-905c24582794");katex.render("C_v=\\left(\\frac{\\partial e}{\\partial T}\\right)_v", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

which becomes, after substituting the definition for $var element = document.getElementById("moose-equation-27cb0a45-abdd-4f61-9fcc-027d48cbae9e");katex.render("e", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ ,

$var element = document.getElementById("moose-equation-915918b2-c37f-4f11-9c05-3fedd3ba17c0");katex.render("C_v=\\left(\\frac{\\partial h}{\\partial T}\\right)_v-\\left(\\frac{\\partial(Pv)}{\\partial T}\\right)_v", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

Range of Validity

These fluid properties are only applicable to liquid flinak. At atmospheric pressure, the melting and boiling points of flibe are approximately 454 $var element = document.getElementById("moose-equation-c87cba07-439d-43d2-8801-64c88e79bd12");katex.render("\\degree", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ C and 1570 $var element = document.getElementById("moose-equation-b4e7b7b7-438a-4587-874c-42689f8139d1");katex.render("\\degree", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ C, respectively Richard et al. (2014). These fluid properties should not be used outside this range.

Input Parameters

drho_dp1.7324e-07derivative of density with respect to pressure (at constant temperature)
Default:1.7324e-07
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:derivative of density with respect to pressure (at constant temperature)

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
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

J. Richard, D. Wang, G. Yoder, J. Carbajo, D. Williams, B. Forget, and C. Forsberg. Implementation of Liquid Salt Working Fluids Into TRACE. In Proceedings of ICAPP 2014. 2014.

@InProceedings{richard,
    author = "Richard, J. and Wang, D. and Yoder, G. and Carbajo, J. and Williams, D. and Forget, B. and Forsberg, C.",
    title = "{Implementation of Liquid Salt Working Fluids Into TRACE}",
    booktitle = "{Proceedings of ICAPP 2014}",
    year = "2014"
}

R.O. Scarlat. Design of Complex Systems to Achieve Passive Safety: Natural Circulation Cooling of Liquid Salt Pebble Bed Reactors. PhD thesis, University of California, Berkeley, 2012.

@phdThesis{scarlat,
    author = "Scarlat, R.O.",
    title = "Design of Complex Systems to Achieve Passive Safety: Natural Circulation Cooling of Liquid Salt Pebble Bed Reactors",
    year = "2012",
    school = "University of California, Berkeley"
}

Description
Range of Validity
Input Parameters
References