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Effects of L-shaped fins on cooling an electronic heat sink fitted under magnetic field of CNT–water/ethylene glycol nanoliquid

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A Correction to this article was published on 22 August 2022

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Abstract

The aim of this research is to investigate numerically the efficiency of employing CNT–water/ethylene glycol nanofluid into an inclined square box heat dissipator featured with L-shaped fins beneath the impact of Lorentz powers, taking into consideration the nanoliquid’s radiative effect. The study is constructed using the Comsol Multiphysics tool. The effects of Rayleigh number (\(10^{3} \le\) Ra \(\le 10^{6}\)), Hartmann number (0 \(\le\) Ha \(\le\) 40), the radiative emitting coefficient (0 \(\le R_{d} \le\) 2), the length (0.4 \(\le\) L \(\le\) 0.7) and width (0.01 \(\le \delta \le\) 0.07) of L-shaped fins, the heat dissipator box inclination (\(0^{^\circ } \le \gamma \le 90^{^\circ }\)) and the L-shaped fins dispositions are all analyzed as variables that affect the heat waste proficiency. A comparison between classical and L-shaped fins is confirmed. The data reveal that expanding the amount of Rayleigh and also the radiative element enhances convection cooling rate. Whenever radiative emission is maintained, the action of Lorentz strengths on slowing the convection cooling rate is mitigated. Furthermore, heightening both the L-shaped fins length and width enhances more the convection cooling proficiency excluding the L = 0.4 and \(\delta\) = 0.07 scenario. Relying on the chamber slant angle, manifold scenarios are unearthed in terms of the excellent L-shaped fins disposition. The L-shaped fins dissipate heat more effectively than classical one.

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Data availability

Data are available on request from the authors.

Change history

Abbreviations

\(B_{0}\) :

Magnetic field intensity (T)

Cp :

Specific heat (J kg \({\text{K}}^{ - 1}\))

D :

L-shaped fins interdistance (m)

g :

The gravitational acceleration (m \({\text{s}}^{ - 2}\))

H :

Chamber extent (m)

Ha:

Hartmann parameter

k :

Thermal conductivity \(({\text{w m}}^{ - 1} {\text{ K}}^{ - 1}\))

L :

L-shaped fins length (m)

N :

Number of fins

\({\text{Nu}}_{\text{l}}\) :

Local Nusselt indicator

\({\text{Nu}}_{m}\) :

Typical Nusselt indicator

Pr:

Prandtl parameter

Ra:

Rayleigh parameter

\(R_{d}\) :

Radiative emitting coefficient

T :

Dimensional temperature (\({\text{K}}\))

T* :

Non-dimensional temperature

u, v :

Constituents of celerity onward the (x, y) axis

u*, v* :

Non-dimensional constituents of celerity onward the (x, y) axis

W :

L-shaped fins thickness (m)

\(\alpha\) :

Thermal diffusivity (\({\text{m}}^{2} {\text{ s}}^{ - 1}\))

\(\Delta T\) :

Temperature difference, \(T_{h} - T_{{c{ }}} \;\left( {\text{K}} \right)\)

σ :

Electrical conductivity (\({\text{Am V}}^{ - 1}\))

μ :

Dynamic viscosity, \({\text{kg m}}^{ - 1} {\text{ s}}^{ - 1}\)

\(\varphi\) :

Nanoparticles quantity

β :

Thermal expansion quotient \(\left( {{\text{k}}^{ - 1} } \right)\)

ρ :

Primary fluid denseness (kg \({\text{m}}^{ - 3}\))

ν :

Kinematic viscosity (\({\text{m}}^{2} /{\text{s}}\))

\(\gamma\) :

Chamber slant angle (\(^\circ\))

\(\delta\) :

L-shaped fins width (m)

c:

Cold partition

h:

Hot partition

\({\text{nf}}\) :

Nanoliquid

p:

Nanoparticle

f:

Primary fluid

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Authors and Affiliations

  1. College of Engineering, Department of Mechanical Engineering, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia

    Mohamed Bechir Ben Hamida, Mohammed A. Almeshaal & Khalil Hajlaoui

  2. Laboratory of Ionized Backgrounds and Reagents Studies (EMIR), Preparatory Institute for Engineering Studies of Monastir (IPEIM), University of Monastir, Monastir, Tunisia

    Mohamed Dhia Massoudi & Mohamed Bechir Ben Hamida

  3. Higher School of Sciences and Technology of Hammam Sousse (ESSTHS), Department of Physics, University of Sousse, Sousse, Tunisia

    Mohamed Bechir Ben Hamida

Authors
  1. Mohamed Dhia Massoudi
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  2. Mohamed Bechir Ben Hamida
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  3. Mohammed A. Almeshaal
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  4. Khalil Hajlaoui
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Correspondence to Mohamed Bechir Ben Hamida.

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Guest editors: A. Karimipour, K. Hooman, A. D’Orazio, R. Kalbasi.

The original online version of this article was revised to adjust the order of affiliations.

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Massoudi, M.D., Ben Hamida, M.B., Almeshaal, M.A. et al. Effects of L-shaped fins on cooling an electronic heat sink fitted under magnetic field of CNT–water/ethylene glycol nanoliquid. Eur. Phys. J. Plus 137, 843 (2022). https://doi.org/10.1140/epjp/s13360-022-03044-4

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