FlibeFluidProperties

Fluid properties for flibe

Description

The FlibeFluidProperties class provides fluid properties for a peritectic molar composition of 67% LiF and 33% BeF $var element = document.getElementById("moose-equation-1ffd618b-baca-4b7f-ac57-590e203be5d4");katex.render("_2", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ , commonly referred to as 'flibe'.

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 $var element = document.getElementById("moose-equation-4dcc27ee-2da7-4e76-b54e-beb4639c581c");katex.render("^3", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ /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 absense of the pressure dependence, the uncertainty on density is $var element = document.getElementById("moose-equation-e6764a44-beb1-43ff-93cd-58ec792bf1d2");katex.render("\\pm", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ 0.05% Richard et al. (2014).

Viscosity, isobaric specific heat, and thermal conductivity are calculated with uncertainties of $var element = document.getElementById("moose-equation-9b2f4f46-baba-4698-923c-c705cc086627");katex.render("\\pm", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ 20%, $var element = document.getElementById("moose-equation-b170d0be-2db7-491f-b461-fdcc4029e15c");katex.render("\\pm", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ 2%, and $var element = document.getElementById("moose-equation-43926e29-9465-4c45-b16b-51f473f26ea7");katex.render("\\pm", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ 15%, respectively Richard et al. (2014). The viscosity of LiF and BeF $var element = document.getElementById("moose-equation-3ce60409-8dfd-4b5f-bac7-9559acecb57c");katex.render("_2", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ vary by eight orders of magnitude, so caution should be used if applying these fluid properties to LiF-BeF $var element = document.getElementById("moose-equation-e00093e8-e6c1-474c-a84a-0055b4ffca85");katex.render("_2", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ mixtures with slightly different ratios Romatoski and Hu (2017).

Isochoric specific heat is calculated according to its definition as

$var element = document.getElementById("moose-equation-aff13438-e68e-4fff-b3b2-1edb8b12e08f");katex.render("C_v=\\left(\\frac{\\partial e}{\\partial T}\\right)_v", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$

which becomes, after substituting the definition for $var element = document.getElementById("moose-equation-68101de5-4261-47c8-88d5-733b9c6e2619");katex.render("e", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ ,

$var element = document.getElementById("moose-equation-f06634e6-f5f2-4056-9e8f-bdf85ee87fba");katex.render("C_v=\\left(\\frac{\\partial h}{\\partial T}\\right)_v-\\left(\\frac{\\partial(Pv)}{\\partial T}\\right)_v", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$

Molar mass is calculated assuming 99.995% enrichment of lithium in the Li-7 isotope.

Range of Validity

These fluid properties are only applicable to liquid flibe. At atmospheric pressure, the melting and boiling points of flibe are approximately 458 $var element = document.getElementById("moose-equation-5fb5b20a-943d-400d-9298-ba43c573c471");katex.render("\\degree", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ C and 1400 $var element = document.getElementById("moose-equation-f1d5016c-c241-4a0f-a2b4-3e6e7ea8d777");katex.render("\\degree", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ C, respectively Richard et al. (2014). These fluid properties should not be used outside this range.

Input Parameters

allow_imperfect_jacobiansFalsetrue to allow unimplemented property derivative terms to be set to zero for the AD API
Default:False
C++ Type:bool
Options:
Description:true to allow unimplemented property derivative terms to be set to zero for the AD API
drho_dp1.7324e-07derivative of density with respect to pressure (at constant temperature)
Default:1.7324e-07
C++ Type:double
Options:
Description:derivative of density with respect to pressure (at constant temperature)
execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Options:NONE INITIAL LINEAR NONLINEAR TIMESTEP_END TIMESTEP_BEGIN FINAL CUSTOM
Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.
fp_typesingle-phase-fpType of the fluid property object
Default:single-phase-fp
C++ Type:FPType
Options:
Description:Type of the fluid property object

Optional 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
Options:
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).
control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector
Options:
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
Description:Set the enabled status of the MooseObject.
force_preauxFalseForces the GeneralUserObject to be executed in PREAUX
Default:False
C++ Type:bool
Options:
Description:Forces the GeneralUserObject to be executed in PREAUX
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
Options:
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.

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"
}

R.R. Romatoski and L.W. Hu. Fluoride Salt Coolant Properties for Nuclear Reactor Applications: A Review. Annals of Nuclear Energy, 109:635–647, 2017.

@Article{romatoski,
    author = "Romatoski, R.R. and Hu, L.W.",
    title = "{Fluoride Salt Coolant Properties for Nuclear Reactor Applications: A Review}",
    journal = "Annals of Nuclear Energy",
    year = "2017",
    volume = "109",
    pages = "635--647"
}

Advanced Parameters

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Range of Validity
Input Parameters

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