Optimization of the Micro Channel Ladder Shape
Heat Sink
Chung-Hao Kang
1,2
, Shih-Hsiang Tai
1
, Sheng-Chung Chen
1
, David T.W. Lin
1,*
1
Institute of Mechatronic System Engineering, National University of Tainan, Tainan, Taiwan
2
New Energy Division, MAG Technology CO., LTD, Tainan, Taiwan
Corresponding Author: David T.W. Lin, david@mail.nutn.edu.tw
Abstract—The channel heat sink is in contact with the
working fluid to remove the heat. But much channel will result
higher pressure difference issue in the micro multi-channel heat
sink. In this paper, a ladder shape channel (link between the
parallel channel) is proposed to correct the problem of high
pressure difference. The design of the link decreases the pressure
difference for reducing the pump work of the micro multi-
channel heat sink. The purpose of this paper is to maximize the
efficiency of the micro multi-channel ladder shape heat sink by
using optimization design. An optimization method based on the
genetic algorithm and COMSOL 3-D conjugated thermal-fluid
model is applied to establish the optimal geometry parameters of
the link. The results show that this optimized heat sink design
can improve the efficiency more than 43%. And the heat removal
of the proposed device is significantly improved.
Keywords- micro channel heat sink; ladder shape; optimization;
genetic algorithm
I. INTRODUCTION
Enhance the heat removal capacity has been one of the
important considerations in engineering design, many scholars
proposed much kinds of heat sink to improve the performance
of heat removal. With different electronic development trends
and conditions, the traditional radiator has been inadequate.
The micro channel heat sink is developed for the high heat
flux electronic components on mini area, which can provide
the heat conduction and convection to remove heat. The micro
channel heat sink was first proposed in experimentation by
Tuckerman and Pease [1]. For past few years, micro channel
heat sink has been ameliorated with the advancement of
semiconductor technology continuously.
Kim and Mudawar [2] compared the heat diffusion effects
with different aspect ratio, spacing and biot number. The
results showed that the heat transfer performance can be
improved by adjusting the cross sectional dimensions of the
channel. Wang et al. [3] used inverse problem method to
optimize the geometric design for micro channel heat sink.
The optimal channel numbers and aspect ratio results of micro
channel heat sink were presented in their paper. Wei and Joshi
[4] used genetic algorithms to find the optimal parameters of
stacked micro channel heat sink. Chen et al. [5] combined
finite element method with genetic algorithm to improve the
heat dissipative ability and decrease the weight of micro
channel heat sink. Liu et al [6] proposed a honeycomb porous
micro-flow channel electronic cooling system, Experiments to
study the thermal performance of the heat sink under different
heat source and the pump power, through the this specially
designed fluid to perturbation and get better heat dissipation,
The experimental results show that 18.2
ଶ
⁄ of heat can
be removed when the pump power of 2.4W.Chen and Ding [7]
investigated the effects of the inertial force for the flow on the
heat transfer characteristics with nanofluids. Their study
showed that the temperature distribution of the channel wall is
insensitive to the inertial effect practically, while the fluid
temperature distribution and total thermal resistance are
varied due to the inertial force effect significantly. From the
investigated for heat transfer of gas liquid mixture in micro
channel heat sink, Hetsroni et al. [8] provided the crucial
evidence that the micro channel are sensitive not only to inlet
geometry but also the method of gas liquid injection. This
proof is useful and important for future researches. In addition,
Kumaraguruparan et al. [9] investigated the effects of channel
configuration and fluid viscosity on flow distribution. More
relevant research of characteristics for working fluids in the
micro channel heat sink has been investigated in [10-17].
The advantages of the micro channel heat sink were shown
in the previous studies. Most optimization designs of the
micro channel heat sink focused on increasing the heat
transfer performance. The high pressure difference problem of
channel is thorny, especially in the modern of miniaturized
electronics. The ladder shape (link between the parallel
channels) is proposed to correct this problem. This study
combines the finite element method with genetic algorithm to
increase the efficiency of the ladder shape heat sink, which
will obtain more comprehensive results for the design.
II. THE MATHEMATICAL MODEL
The micro channel heat sink is fabricated by the silicon
wafers. Fig. 1 and Fig. 2 show the geometry diagram of model
and parameters of micro channel with N silicon wafer
978-1-4673-6352-5/13/$31.00 ©2013 IEEE NEMS2013,Suzhou,China,April 7-10,2013 389