Heat transfer inside flexible thin-film channels having nonuniform height distributions is analyzed in this work. The terminology “flexible thin film channel” is referred to a thin-film channel having two plates separated by soft elastic seals. The fluidic volume enclosed between the plates can expand due to any increase in the fluid pressure. This expansion which is determined from the height (distance between the plates) distribution is related to the pressure drop and the seals stiffness by applications of force or moment balance laws on the mobile plate. The seals stiffness parameter (S), Peclet number (Pe), dimensionless inlet height (Hi), and the aspect ratio (ε) are found to be the controlling parameters. It is found that flexible thin-film channels with flexible plates produce additional cooling over the cooling effect for those having inflexible plates. The heated plate temperature when plates are flexible is lower than that for the other case by more than 14.8% when Peε<1.0 and Hi=3.0 Moreover, the cooling effect of flexible thin-film channels is found to increase relative to rigid thin-film channels as the S and Peε decrease. Finally, it is recommended to treat flexible thin-film channels as rigid ones when SA>3.45 (inflexible plates case) or SB>10 (flexible plates case).

1.
Tuckerman
,
D. B.
, and
Pease
,
D. B.
, 1981, “
High-Performance Heat Sinking for VLSI
,”
IEEE Electron Device Lett.
0741-3106,
EDL-2
, pp.
126
129
.
2.
Missaggia
,
L. J.
,
Walpole
,
J. N.
,
Liau
,
Z. L.
, and
Philips
,
R. J.
, 1989, “
Microchannel Heat Sinks for Two Dimensional High-Power-Density Diode Laser Arrays
,”
IEEE J. Quantum Electron.
0018-9197,
25
, pp.
1988
1992
.
3.
Vafai
,
K.
, and
Zhu
,
L.
, 1999, “
Analysis of a Two-Layered Micro Channel Heat Sink Concept in Electronic Cooling
,”
Int. J. Heat Mass Transfer
0017-9310,
42
, pp.
2287
2297
.
4.
Hadim
,
A.
, 1994, “
Forced Convection in a Porous Channel With Localized Heat Sources
,”
ASME J. Heat Transfer
0022-1481,
116
, pp.
465
472
.
5.
Bowers
,
M. B.
, and
Mudawar
,
I.
, 1994, “
Two-Phase Electronic Cooling Using Mini-Channel and Microchannel Heat Sink
,”
ASME J. Electron. Packag.
1043-7398,
116
, pp.
290
305
.
6.
Khaled
,
A.-R. A.
, and
Vafai
,
K.
, 2002, “
Flow and Heat Transfer Inside Thin Films Supported by Soft Seals in the Presence of Internal and External Pressure Pulsations
,”
Int. J. Heat Mass Transfer
0017-9310,
45
, pp.
5107
5115
.
7.
Khaled
,
A.-R. A.
, and
Vafai
,
K.
, 2005, “
Analysis of Flexible Microchannel Heat Sinks
,”
Int. J. Heat Mass Transfer
0017-9310,
48
, pp.
1739
1746
.
8.
Norton
,
R. L.
, 1998,
Machine Design: An Integrated Approach
,
2nd ed.
Prentice-Hall
, Englewood Cliffs, NJ.
9.
Blottner
,
F. G.
, 1970, “
Finite-Difference Methods of Solution of the Boundary-Layer Equations
,”
AIAA J.
0001-1452,
8
, pp.
193
205
.
You do not currently have access to this content.