Contents lists available at ScienceDirect
International Communications in Heat and Mass Transfer
journal homepage: www.elsevier.com/locate/ichmt
Optimization of geometry and nano-fuid properties on microchannel
performance using Taguchi method and genetic algorithm
Seyed Morteza Javadpour
a,1
, Elyas Abbasi Jannat Abadi
b,1
, Omid Ali Akbari
c
,
Masoud Goharimanesh
d,
⁎
a
Mechanical Engineering Department, University of Gonabad, P.O. Box 9691957678, Gonabad, Iran
b
Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran
c
Young Researchers and Elite Club, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran
d
Mechanical Engineering Department, University of Torbat Heydarieh, P.O. Box 9516168595, Torbat Heydarieh, Iran
ARTICLE INFO
Keywords:
Nanofuids
Ribbed microchannel
Genetic algorithm
SNR
ABSTRACT
The aims of the present study are to develop and validate a new numerical model to estimate Nusselt number and
friction factor as a function of ribbed length, rib's height, the distance between each rib, and nanoparticle volume
fraction. For this, heat transfer of water-based Al
2
O
3
nanofuids in laminar fow conditions via a ribbed mi-
crochannel with triple and fourth rib shapes of triangular, rectangular, and trapezoidal under a constant fux of
heat was considered numerically by implementing fnite volume scheme. Three-dimensional simulations were
performed using design nodes appointed systematically by Taguchi method within a rectangular microchannel
with a length of 4 mm and a height of 50 μm. The problem is subjected to maximization and minimization of the
Nusselt number and friction factor of the microchannel, respectively. Based on the design parameters in the
Taguchi method continuous approximation functions for Nusselt number and friction factor were developed.
Finally, a multi-objective genetic algorithm was exploited to detect the optimum solutions of Pareto in a multi-
criteria diagram. Utilizing this diagram, designers could gather the information required for a trade-of between
each criterion and design a microchannel that best fulflls their needs. The maximum error of 4% for Nusselt
number and 16% for friction coefcient which was confrmed by CFD simulation show the efciency of the
Pareto front prediction.
1. Introduction
The properties of nanofuids (NFs) have been studied extensively in
recent years due to their productive roles in industrial sections, such as
improving the efciency of many energy systems [1]. One of the most
critical problems in the use of NFs is preparing and fabricating, which
are time and cost consuming. Fortunately, numerical methods could
attract the attention of the researchers to overcome these challenges.
However, there is a gap between numerical results and experimental
achievements [2].
Microchannels (MCs) as the road of NFs are eye-catching in heat
sink devices, especially the interrupted ones, which are fabricated by
ribs or fns to improve the transfer of heat. The geometry of ribbed-
microchannels (RMCs) and the properties of NFs used are the most
important factors to design an efcient MC, which is successful in
maximizing the average Nusselt number and the minimizing the
coefcient of friction. Behnampour et al. [3] studied hydrodynamic and
heat transfer behavior of laminar water-based silver NF in MCs by three
shapes of ribs, triangular, rectangular, and trapezoidal. They presented
that rectangular rib has a lower average Nusselt number compared to
trapezoidal one, and triangular rib causes to the lowest coefcients of
friction. Akbari et al. [4] studied how rib height can increase the rate of
heat transfer. They used a laminar water/ Al
2
O
3
NFs fow in a two-
dimensional rectangular MC. They revealed, increasing the height of
the rib and the proportion of nanoparticles (NPs), simultaneously rises
the coefcient of friction, average Nusselt number, and rate of heat
transfer of the RMCs. Abdollah et al. [5] investigated simulation of
laminar heat transfer forced convection in a heat sink with an elliptical
and diamond RMCs numerically. They showed ellipse ribs perform
more efciently than diamond ribs. Shamsi et al. [6] analyzed the fow
of the non-Newtonian NFs of water/CMC/Aluminum oxide in triangular
RMCs. They investigated the efect of triangular ribs with three
https://doi.org/10.1016/j.icheatmasstransfer.2020.104952
⁎
Corresponding author.
E-mail address: m.goharimanesh@torbath.ac.ir (M. Goharimanesh).
1
These authors contributed equally to this work.
International Communications in Heat and Mass Transfer 119 (2020) 104952
0735-1933/ © 2020 Elsevier Ltd. All rights reserved.
T