SCMHTCDittusBoelter

Class that computes the convective heat transfer coefficient using the Dittus Boelter correlation.

The HTC closure models inherit from: SCMHTCClosureBase.

Dittus-Boelter Correlation for Turbulent Nusselt Number

The Dittus-Boelter equation Dittus (1930) is implemented as proposed by McAdams McAdams and McAdams (1954) as follows:

$var element = document.getElementById("moose-equation-8affe7e9-a91c-47fa-a468-5b1e33949fd2");katex.render("Nu = 0.023 \\times Re^{0.8} \\times Pr^{0.4},", element, {displayMode:true,throwOnError:false});$

where:

$var element = document.getElementById("moose-equation-c6e4ada2-ce17-4565-bf6f-ec2cf823006a");katex.render("Nu", element, {displayMode:false,throwOnError:false});$ : Nusselt number
$var element = document.getElementById("moose-equation-23574bcb-ede5-42f3-aaa0-e8d27188d0eb");katex.render("Re", element, {displayMode:false,throwOnError:false});$ : Reynolds number
$var element = document.getElementById("moose-equation-b0d6c0bd-3575-449d-a5e9-07280ec50f74");katex.render("Pr", element, {displayMode:false,throwOnError:false});$ : Prandtl number

All fluid properties are evaluated at the mean subchannel temperature. The correlation is used on a local basis.

Correction factors applied to the Dittus-Boelter Correlation

Additionally, the user has the option to define correction factors to account for the effect of fully turbulent flow along pin bundles. Nu values may significantly deviate from the circular geometry because of the strong geometric nonuniformity of the subchannels Todreas and Kazimi (2021). The usual way to represent the relevant correlation is to express the Nusselt number for fully developed conditions $var element = document.getElementById("moose-equation-22ccdb54-477f-4256-aa93-66846f9c95c4");katex.render("Nu_{\\infty}", element, {displayMode:false,throwOnError:false});$ , as a product of $var element = document.getElementById("moose-equation-6c8cf511-4c26-4d1e-9783-ded403a29175");katex.render("Nu_{\\infty ,c.t}", element, {displayMode:false,throwOnError:false});$ for a circular tube multiplied by a correction factor:

$var element = document.getElementById("moose-equation-02876448-e691-474e-bc37-048e3fc8c4b5");katex.render(" Nu_{\\infty} = \\psi Nu_{\\infty ,c.t}", element, {displayMode:true,throwOnError:false});$

The problem then is to calculate $var element = document.getElementById("moose-equation-35786fe1-ff50-46cb-ab4f-bd3e6f47d673");katex.render("\\psi", element, {displayMode:false,throwOnError:false});$ . The models available to the user to calculate $var element = document.getElementById("moose-equation-48d6a2bd-74e6-4d2b-84e3-5fbea4593031");katex.render("\\psi", element, {displayMode:false,throwOnError:false});$ are that of Presser Presser (1967) and Weisman Weisman (1959).

Presser suggested:

$var element = document.getElementById("moose-equation-d48d92ac-e9bf-4f7e-ad04-b5adec3f75d7");katex.render(" \\psi = 0.9090 + 0.0783P/D - 0.1283e^{-2.4(P/D-1)}", element, {displayMode:true,throwOnError:false});$

for the triangular array and $var element = document.getElementById("moose-equation-fcac6ea6-6cdc-4554-bf4e-24aefd64f46e");katex.render("1.05 \\leq P/D \\leq 2.2", element, {displayMode:false,throwOnError:false});$ .

$var element = document.getElementById("moose-equation-f0e8e740-01e3-4894-85bf-bb6820a9370c");katex.render(" \\psi = 0.9217 + 0.1478P/D - 0.1130e^{-7(P/D-1)}", element, {displayMode:true,throwOnError:false});$

for the square array and $var element = document.getElementById("moose-equation-cf19595f-0d23-4543-9cb0-d62e2d9cc1fb");katex.render("1.05 \\leq P/D \\leq 1.9", element, {displayMode:false,throwOnError:false});$ .

For water, Weisman suggested:

$var element = document.getElementById("moose-equation-1a29d128-c28a-468c-ad4e-4efce08a03de");katex.render(" \\psi = 1.130P/D - 0.2609", element, {displayMode:true,throwOnError:false});$

for the triangular array and $var element = document.getElementById("moose-equation-482444b1-3eed-4a77-9afc-3a69777dac24");katex.render("1.1 \\leq P/D \\leq 1.5", element, {displayMode:false,throwOnError:false});$ .

$var element = document.getElementById("moose-equation-d45d9253-dcc8-491a-867c-4318e4528c49");katex.render(" \\psi = 1.826P/D - 1.0430", element, {displayMode:true,throwOnError:false});$

for the square array and $var element = document.getElementById("moose-equation-df681516-7edc-450a-b591-14e0c34ae588");katex.render("1.1 \\leq P/D \\leq 1.3", element, {displayMode:false,throwOnError:false});$ , both for $var element = document.getElementById("moose-equation-9f3e3c65-5d4d-4d94-a040-5f820becbce3");katex.render("Nu_{\\infty ,c.t} = 0.023 \\times Re^{0.8} \\times Pr^{0.333}", element, {displayMode:false,throwOnError:false});$ .

The default model used for the correction factor is that of Presser.

Input Parameters

correction_factorPresserCorrection factor modeling the effect of the fuel-pin bundle. Default is Presser
Default:Presser
C++ Type:MooseEnum
Options:Presser, Weisman, none
Controllable:No
Description:Correction factor modeling the effect of the fuel-pin bundle. Default is Presser

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

Frederick William Dittus. Heat transfer in automobile radiators of the tubular type. Univ. of California Pub., Eng., 2(13):443–461, 1930.

@article{dittus1930heat,
    author = "Dittus, Frederick William",
    title = "Heat transfer in automobile radiators of the tubular type",
    journal = "Univ. of California Pub., Eng.",
    volume = "2",
    number = "13",
    pages = "443--461",
    year = "1930"
}

William Henry McAdams and William H McAdams. Heat transmission. Volume 3. McGraw-hill New York, 1954.

K Presser. Waermeuebergang und druckverlust an reaktorbrennelementen in form laengsdurchstroemter rundstabbuendel.(heat transfer and pressure loss of reactor fuel elements in the form of longitudinal flow through round rod bundles). Technical Report, Kernforschungsanlage, Juelich (West Germany). Institut fuer Reaktorbauelemente, 1967.

@techreport{presser1967waermeuebergang,
    author = "Presser, K",
    title = "WAERMEUEBERGANG UND DRUCKVERLUST AN REAKTORBRENNELEMENTEN IN FORM LAENGSDURCHSTROEMTER RUNDSTABBUENDEL.(Heat Transfer and Pressure Loss of Reactor Fuel Elements in the Form of Longitudinal Flow Through Round Rod Bundles).",
    year = "1967",
    institution = "Kernforschungsanlage, Juelich (West Germany). Institut fuer Reaktorbauelemente"
}

Neil E Todreas and Mujid S Kazimi. Nuclear systems volume I: Thermal hydraulic fundamentals. CRC press, 2021.

@book{todreas2021nuclear1,
    author = "Todreas, Neil E and Kazimi, Mujid S",
    title = "Nuclear systems volume I: Thermal hydraulic fundamentals",
    year = "2021",
    publisher = "CRC press"
}

Joel Weisman. Heat transfer to water flowing parallel to tube bundles. Nuclear Science and Engineering, 6(1):78–79, 1959.

@article{weisman1959heat,
    author = "Weisman, Joel",
    title = "Heat transfer to water flowing parallel to tube bundles",
    journal = "Nuclear Science and Engineering",
    volume = "6",
    number = "1",
    pages = "78--79",
    year = "1959",
    publisher = "Taylor \\& Francis"
}

Dittus - Boelter Correlation for Turbulent Nusselt Number
Correction factors applied to the Dittus - Boelter Correlation
Input Parameters
References