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Optimal configuration of discrete heat sources in a channel with sudden expansion and contraction by lattice Boltzmann method

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Abstract

This research focuses on the flow and heat transfer characteristics past three hot obstacles in a sudden expansion and contraction channel. To enhance the heat transfer, the MWCNT-Fe3O4 Water hybrid nanofluid is used. The effect of Reynolds number (40, 70 and 100), nanoparticle volume fraction of MWCNT-Fe3O4/water hybrid nanofluid (0.00, 0.001, and 0.003) and different arrangements of discrete heat sources (47 arrangements) on the flow pattern, temperature distribution and heat transfer characteristics have been investigated. The lattice Boltzmann method (LBM) is applied for the simulations. It is found that the heat transport performance of each heated obstacle is not only related to its position and the arrangements of the other two heat sources are important. Compared with the other arrangements, when three obstacles are located on the first row, all three hot sources can obtain relatively better heat transfer performances, and the corresponding Nuave is 5.1451 which is 1.72 times the minimum value of Nuave (Case 4). The obstacle located behind another obstacle would obtain low Nuavg. Besides, to achieve the highest heat transfer performance of one heat obstacle in a column, the position OBS#4 in Case 14 needs to be placed.

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Abbreviations

H :

Height of the channel

ei:

Discrete lattice velocity in direction

f :

Density distribution function

feq:

Equilibrium density distribution function

Nu:

Nusselt number

U, V:

Non-dimensional velocity components

Pr:

Prandtl number

L:

Width of the channel

cs:

Sound speed in Lattice scale

g :

Energy distribution function

geq:

Equilibrium energy distribution function

T :

Fluid temperature

k :

Thermal conductivity

Re:

Reynolds number

ωi:

Mass function in i direction

ϕ :

Volume fraction

τc:

Relaxation time for temperature

α :

Thermal diffusivity

ρ :

Density

τv:

Relaxation time for fluid flow

β :

Thermal expansion coefficient

μ :

Dynamic viscosity

p :

Solid particles

nf:

Nanofluid

c :

Cold

f :

Fluid

h :

Hot

i :

Moving direction of single-particle

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Acknowledgements

The Financial Support of the Research Council of Damghan University with the Grant number 98/eng/134/327 is acknowledged.

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Authors and Affiliations

  1. School of Engineering, Damghan University, P.O. Box: 3671641167, Damghan, Iran

    Rasul Mohebbi

  2. Department of Mechanical Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China

    Yuan Ma

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  1. Rasul Mohebbi
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  2. Yuan Ma
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Mohebbi, R., Ma, Y. Optimal configuration of discrete heat sources in a channel with sudden expansion and contraction by lattice Boltzmann method. J Therm Anal Calorim 148, 4553–4566 (2023). https://doi.org/10.1007/s10973-023-12020-8

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  • DOI: https://doi.org/10.1007/s10973-023-12020-8

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