Deriving local Nusselt number correlations for heat transfer of nanofluids by genetic programming
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- @Article{GUZMANURBINA:2023:ijthermalsci,
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author = "Alexander Guzman-Urbina and Kazuki Fukushima and
Hajime Ohno and Yasuhiro Fukushima",
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title = "Deriving local Nusselt number correlations for heat
transfer of nanofluids by genetic programming",
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journal = "International Journal of Thermal Sciences",
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volume = "192",
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pages = "108382",
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year = "2023",
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ISSN = "1290-0729",
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DOI = "doi:10.1016/j.ijthermalsci.2023.108382",
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URL = "https://www.sciencedirect.com/science/article/pii/S1290072923002430",
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keywords = "genetic algorithms, genetic programming, Nanofluids,
Nusselt number, Machine learning",
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abstract = "The application of nanoparticles in the design of heat
exchange systems is anticipated to significantly
enhance energy efficiency across the industrial,
commercial, and residential sectors. A nanofluid
results from mixing a base fluid and nanoparticles.
These nanoparticles generally are made from various
materials, including metals, metal oxides, and
polymers. To design nanofluid-assisted energy systems,
it is necessary to estimate the heat transfer achieved
by the nanofluids. Most models developed to describe
the heat transfer of fluids require estimating the
Nusselt number (Nu), representing the ratio of
convective heat transfer to conductive heat transfer in
a given system. Previous work in nanofluids has focused
on modeling equations for the average Nusselt number
(Nuavg) in tube systems. However, an equation that
allows the local Nusselt number (Nux) to be calculated
is more versatile than one which calculates the Nuavg
since it can be applied to any length of circular
tubes. In this study, we derive equations using Genetic
Programming (GP) to estimate the local Nusselt number
of nanofluids (Nux,nf) that flow through horizontal
circular tubes. The method uses an evolutionary
algorithm to generate correlation equations for
exploring the interaction of the flow regime, flow
properties, system configuration, and nanoparticle
properties. It comprises creating a population of
candidate equations, selecting the best ones through
fitness evaluation, and combining them through genetic
operators (Selection, crossover, and mutation) to
create a new generation of equations. Acceptable Nux,nf
models (R2>0.9) were obtained with GP tree structures
larger than three levels (depth 3). Findings from the
Nux,nf correlations obtained show that the determinant
variables for the model were the Reynolds and Prandtl
numbers. This implies that the effect of the nanofluids
is driven mainly by alterations made by the
nanoparticles to the inertial forces of the flow and
the thermal diffusivity. The results of this study
highlight the potential of this machine-learning-based
approach to provide insight into the physicochemical
mass and heat transfer mechanisms",
- }
Genetic Programming entries for
Alexander Guzman-Urbina
Kazuki Fukushima
Hajime Ohno
Yasuhiro Fukushima
Citations