Although the problem of 2D ribbed channels has been studied heavily in the literature as a benchmark or basic case for cooling of electronic packing, there is still a contradiction in the literature about the suitable turbulence model that should be used in such a problem. The accuracy of the computational predictions of heat transfer rates depends mostly on the choice of the proper turbulence model that is capable of capturing the physics of the problem, and on the corresponding wall treatment. The main objective of this work is to identify the proper turbulence model to be used in thermal analysis of electronic systems. A number of available turbulence models, namely, the standard $k-ε$, the renormalization group $k-ε$, the shear stress transport (SST), the $k-ω$, and the Reynolds stress models, have been investigated. The selection of the most appropriate turbulence model has been based upon comparisons with both direct numerical simulations (DNSs) and experimental results of other works. Based on such comparisons, the SST turbulence model has been found to produce results in very good agreement with the DNS and experimental results and hence it is recommended as an appropriate turbulence model for thermal analysis of electronic packaging.

1.
Yeh
,
L. T.
, and
Chu
,
R. C.
, 2002,
Thermal Management of Microelectronic Equipment
,
ASME
,
New York
.
2.
Schmidt
,
R.
, 2004, “
Challenges in Electronic Cooling-Opportunities for Enhanced Thermal Management Techniques-Microprocessor Liquid Cooled Mini-Channel Heat Sink
,”
Heat Transfer Eng.
0145-7632,
25
(
3
), pp.
3
12
.
3.
Lau
,
J. H.
,
Wong
,
C. P.
,
Prince
,
J. L.
, and
Nakayama
,
W.
, 1988,
Electronic Packaging: Design, Materials, Process, and Reliability
,
McGraw-Hill
,
New York
.
4.
Luo
,
D. D.
,
Leung
,
C. W.
,
Chann
,
T. L.
, and
Wong
,
W. O.
, 2005, “
Flow and Forced Convection Characteristics of Turbulent Flow Through Parallel Plates With Periodic Transverse Ribs
,”
Numer. Heat Transfer, Part A
1040-7782,
48
, pp.
43
58
.
5.
Bredberg
,
J.
,
Davidson
,
L.
, and
Iacovides
,
H.
, 2000, “
Comparison of Near-Wall Behavior and Its Effect on Heat Transfer for k-ω and k-ε Turbulence Models in Rib-Roughened 2D Channel
,”
3rd International Symposium on Turbulence Heat and Mass Transfer
, pp.
381
388
.
6.
Behnia
,
M.
,
Nakayama
,
W.
, and
Wang
,
J.
, 1998, “
CFD Simulations of Heat Transfer From a Heated Module in an Air Stream: Comparison With Experiments and Parametric Study
,”
Inter Society Conference on Thermal Phenomena
.
7.
Low
,
K. W.
, and
Yap
,
C.
, 2000, “
Heat Transfer Coefficient for Flat and Ribbed Surfaces With Interrupted Heating
,”
Electronic Packaging Technology Conference
.
8.
Rodgers
,
P.
,
Eveloy
,
V.
, and
Hashmi
,
M. S.
, 2005, “
An Investigation Into the Potential of Low-Reynolds Number Eddy Viscosity Turbulent Flow Models to Predict Electronic Component Operational Temperature
,”
J. Electron. Packag.
1043-7398,
127
(
1
), pp.
67
75
.
9.
Nagano
,
Y.
,
Hattori
,
H.
, and
Houra
,
T.
, 2004, “
DNS of Velocity and Thermal Fields in Turbulent Channel Flow With Transverse-Rib Roughness
,”
Int. J. Heat Fluid Flow
0142-727X,
25
, pp.
393
403
.
10.
McEntire
,
A. B.
, and
Webb
,
B. W.
, 1990, “
Local Forced Convective Heat Transfer From Protruding and Flush-Mounted Two-Dimensional Discrete Heat Sources
,”
Int. J. Heat Mass Transfer
0017-9310,
33
(
7
), pp.
1521
1533
.
11.
Kays
,
W. M.
, and
Crawford
,
M. E.
, 1993,
Convective Heat and Mass Transfer
,
3rd ed.
,
McGraw-Hill International Edition
,
New York
, pp.
244
250
.
12.
ANSYS-CFX User Manual Version 10.0.
13.
Choudhury
,
D.
, 1993, “
Introduction to the Renormalization Group Method and Turbulence Modeling
,” Fluent Inc. Technical Memorandum TM-107.
14.
Liou
,
T. M.
,
Hwang
,
J. J.
, and
Chen
,
S. H.
, 1993, “
Simulation and Measurement of Enhanced Turbulent Heat Transfer in a Channel With Periodic Ribs on One Principal Wall
,”
Int. J. Heat Mass Transfer
0017-9310,
36
, pp.
507
517
.
15.
Menter
,
F. R.
, 1992, “
Improved Two-Equation k-ω Turbulence Models for Aerodynamic Flows
,” NASA Technical Memorandum 103975, Oct.
16.
Dhinsa
,
K. K.
,
Bailey
,
C. J.
, and
Pericleous
,
K. A.
, 2004, “
Turbulent Modeling and Its Impact on CFD Predictions for Cooling of Electronic Components
,”
Intersociety Conference on Thermal Phenomena
.
17.
Young
,
T. J.
,
Vafai
,
K.
, 1999, “
Experimental and Numerical Investigation of Forced Convective Characteristics of Arrays of Channel Mounted Obstacles
,”
ASME J. Heat Transfer
0022-1481,
121
(
1
), pp.
34
42
.