ThermalCompositeSiCProperties

Composite silicon carbide thermal properties.

Description

This userobject provides thermal properties for composite silicon carbide as a function of temperature.

All units are given in SI, such that the input temperature is Kelvin, and the output units of the thermal conductivity $var element = document.getElementById("moose-equation-631fc39b-a261-4f1d-96ae-cd44cf71856f");katex.render("k", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ are W/m $var element = document.getElementById("moose-equation-92e7a51c-d236-4991-9b03-4bd26a37084c");katex.render("\\cdot", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ K, the output units of the isobaric specific heat capacity $var element = document.getElementById("moose-equation-e8ea8454-5cfa-441d-b374-f21e2369f9e9");katex.render("C_p", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ are J/kg $var element = document.getElementById("moose-equation-d0c831f9-ddff-4d91-8494-11226bf60c39");katex.render("\\cdot", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ K, and the output units of the density $var element = document.getElementById("moose-equation-49aae2fc-b477-48c9-ae30-7ae6ac21e31f");katex.render("\\rho", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ are kg/m $var element = document.getElementById("moose-equation-f662a15a-7604-458f-980a-bee5bccd2b38");katex.render("^3", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ .

Isobaric specific heat is calculated from Snead et al. (2007) as

$var element = document.getElementById("moose-equation-edbbcaff-2f4e-403e-b6ae-3287f07b3681");katex.render("C_p=925.65 + 0.3772 * T - 7.9259\\times10^{-5} * T^2 - 3.1946\\times 10^7 * T^{-2};", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

The uncertainty is $var element = document.getElementById("moose-equation-03b56159-664e-4f78-b64b-c91a297d239e");katex.render("\\pm", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ 7% in the range 200 K $var element = document.getElementById("moose-equation-dda4c02c-0141-438d-bfba-f36f518e3cd0");katex.render("\\le", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ T $var element = document.getElementById("moose-equation-e994d4f1-140f-414a-a5a4-8cacd6e994cd");katex.render("\\le", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ 1000 K and $var element = document.getElementById("moose-equation-d1ba7f84-ea85-462f-a405-96387a7c44eb");katex.render("\\pm", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ 4% in the range 1000 K $var element = document.getElementById("moose-equation-a999bded-6fbc-4315-a6e7-eb179d8906d4");katex.render("\\le", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ T $var element = document.getElementById("moose-equation-8cfb8f8e-1e8f-4323-b195-8b0e111a321f");katex.render("\\le", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ 2400 K.

Thermal conductivity is calculated from Stone et al. (2015) as

$var element = document.getElementById("moose-equation-23a7921a-3ef6-4b87-8337-ef8b3faf6691");katex.render("k=-1.71\\times 10^{-11} T^4+7.35\\times 10^{-8}T^3 - 1.10\\times 10^{-4}T^2+0.061T+7.97", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

The density is assumed constant because the thermal expansion coefficient of silicon carbide is very small. A default value is provided as an average over four different crystal structures at room temperature Snead et al. (2007) as

$var element = document.getElementById("moose-equation-d5d340e6-2c90-4571-bcf7-f7ac610ee4bc");katex.render("\\rho=3216.0", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

Range of Validity

This userobject is valid for estimating isobaric specific heat over 200 K $var element = document.getElementById("moose-equation-a7296f6f-0813-4fbf-badb-0c7b01e2d936");katex.render("\\le", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ T $var element = document.getElementById("moose-equation-73484da7-b2e6-4441-8039-825ad864e9f0");katex.render("\\le", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ 2400 K, and for estimating thermal conductivity over an unspecified range Stone et al. (2015).

Input Parameters

T_zero_e273.15Temperature at which the specific internal energy is assumed to be zero [K].
Default:273.15
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Temperature at which the specific internal energy is assumed to be zero [K].
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
density3216(Constant) density
Default:3216
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:(Constant) density

Optional Parameters

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.

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

L. L. Snead, T. Nozawa, Y. Katoh, T. Byun, S. Kondo, and D. A. Petti. Handbook of SiC Properties for Fuel Performance Modeling. Journal of Nuclear Materials, 371:329–377, 2007.

@Article{snead,
    author = "Snead, L. L. and Nozawa, T. and Katoh, Y. and Byun, T. and Kondo, S. and Petti, D. A.",
    title = "{Handbook of SiC Properties for Fuel Performance Modeling}",
    journal = "Journal of Nuclear Materials",
    year = "2007",
    volume = "371",
    pages = "329--377"
}

J. G. Stone, R. Schleicher, C. P. Deck, G. M .Jacobsen, H. E. Khalifa, and C. A. Back. Stress Analysis and Probabilistic Assessment of Multi-Layer SiC-Based Accident Tolerant Nuclear Fuel Cladding. Journal of Nuclear Materials, 466:682–697, 2015.

@Article{stone,
    author = "Stone, J. G. and Schleicher, R. and Deck, C. P. and .Jacobsen, G. M and Khalifa, H. E. and Back, C. A.",
    title = "{Stress Analysis and Probabilistic Assessment of Multi-Layer {SiC}-Based Accident Tolerant Nuclear Fuel Cladding}",
    journal = "Journal of Nuclear Materials",
    year = "2015",
    volume = "466",
    pages = "682--697"
}

Description
Range of Validity
Input Parameters
References