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Up to now, coolant properties are computed and updated by means of linear
interpolation of tabulated values (ex. file lead.csv in the data folder)
or defined by the user in the input file.
All the tables in the data folder are obtained by means of correlations
[1], and properties are calculated at a few specific temperatures. The
following concerns have been identified:
Since the temperature difference between successive values in tables is
large (50 K), linear interpolation (as the one performed in the code) is
less accurate.
Some of the properties are given at temperatures outside of the validity
range suggested for that specific correlation in [1]. In Tables 1-3,
DASSH properties' range is compared to the validity range provided
by the [2] for each correlation. Please, consider that information
provided by the SCK reference coincides with those provided by the
OECD/NEA Handbook [2].
In Figure 1c, DASSH viscosity shows a discontinuous behavior, due to the
approximation to 1e-3. Approximation in the tabulated values of viscosity
leads to large relative errors when compared to the value given by the
SCK correlation, as plotted in Figure 2.
The values for the conductivity of LBE are not in accordance with the
correlation in the reference, as shown in Figure 1d and Figure 3.
Given the issues presented above, linking DASSH to the properties' library lbh15 [3] can be performed for lead, bismuth and LBE, in order to obtain more
accurate values for properties, to correct uncertain values (conductivity for
LBE) and to adhere to the correct validity ranges by providing a warning
each time the evaluation of the properties is required outside them.
LEAD
DASSH range [K]
Correlation NEA
Validity range [K]
Density
600 - 2000
Sobolev 2008a
600.60 - 2021
Specific heat
600 - 2000
gurvich1991
600.60 - 2000
Viscosity
600 - 2000
Sobolev 2007b
600.60 - 1473
Conductivity
600 - 2000
Sobolev 2007b
600.60 - 1300
Table 1: DASSH range of temperatures vs SCK vality range for lead properties.
LBE
DASSH range [K]
Correlation NEA
Validity range [K]
Density
400 - 1800
OECD/NEA Handbook
398 - 1927
Specific heat
400 - 1800
Sobolev 2011
400 - 1927
Viscosity
400 - 1800
Sobolev 2007b
398 - 1300
Conductivity
400 - 1800
Sobolev 2011
398 - 1200
Table 2: DASSH range of temperatures vs actual vality range for LBE properties.
BISMUTH
DASSH range [K]
Correlation NEA
Validity range [K]
Density
500 - 1800
Imbeni 1998a
544.60 - 1831
Specific heat
500 - 1800
Imbeni 1998a
544.60 - 1831
Viscosity
500 - 1800
Lucas 1984b
544.60 - 1300
Conductivity
500 - 1800
Touloukian 1970b
544.60 - 1000
Table 3: DASSH range of temperatures vs actual vality range for bismuth properties.
Figure 1: properties: DASSH vs lbh15.
Figure 2: viscosity relative error: DASSH vs lbh15.
Figure 3: thermal conductivity for LBE relative error: DASSH vs lbh15.
Up to now, coolant properties are computed and updated by means of linear
interpolation of tabulated values (ex. file
lead.csv
in thedata
folder)or defined by the user in the input file.
All the tables in the
data
folder are obtained by means of correlations[1], and properties are calculated at a few specific temperatures. The
following concerns have been identified:
large (50 K), linear interpolation (as the one performed in the code) is
less accurate.
range suggested for that specific correlation in [1]. In Tables 1-3,
DASSH properties' range is compared to the validity range provided
by the [2] for each correlation. Please, consider that information
provided by the SCK reference coincides with those provided by the
OECD/NEA Handbook [2].
approximation to 1e-3. Approximation in the tabulated values of viscosity
leads to large relative errors when compared to the value given by the
SCK correlation, as plotted in Figure 2.
correlation in the reference, as shown in Figure 1d and Figure 3.
Given the issues presented above, linking DASSH to the properties' library
lbh15
[3] can be performed for lead, bismuth and LBE, in order to obtain moreaccurate values for properties, to correct uncertain values (conductivity for
LBE) and to adhere to the correct validity ranges by providing a warning
each time the evaluation of the properties is required outside them.
Table 1: DASSH range of temperatures vs SCK vality range for lead properties.
Table 2: DASSH range of temperatures vs actual vality range for LBE properties.
Table 3: DASSH range of temperatures vs actual vality range for bismuth properties.
Figure 1: properties: DASSH vs lbh15.
Figure 2: viscosity relative error: DASSH vs lbh15.
Figure 3: thermal conductivity for LBE relative error: DASSH vs lbh15.
[1] https://inis.iaea.org/collection/NCLCollectionStore/_Public/43/095/43095088.pdf
[2] C. Fazio et Al. Handbook on Lead-bismuth Eutectic Alloy and Lead Properties,
Materials Compatibility, Thermal-hydraulics and Technologies. Technical Report No. 7268,
OECD/Nuclear Energy Agency (NEA), Paris, France, 2015. doi:10.1787/42dcd531-en.
[3] https://newcleo-dev-team.github.io/lbh15/
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