Flow and heat transfer inside thin films supported by flexible soft seals having voids of a stagnant fluid possessing a large coefficient of volumetric thermal expansion $βT$ are studied in the presence of suspended ultrafine particles. The study is conducted under periodically varying thermal load conditions. The governing continuity, momentum and energy equations are non-dimensionalized and reduced to simpler forms. The deformation of the seal is related to the internal pressure and lower plate’s temperature based on the theory of linear elasticity and a linearized model for thermal expansion. It is found that enhancements in the cooling are achieved by an increase in the volumetric thermal expansion coefficient, thermal load, thermal dispersion effects, softness of the supporting seals and the thermal capacitance of the coolant fluid. Further, thermal dispersion effects are found to increase the stability of the thin film. The noise in the thermal load is found to affect the amplitude of the thin film thickness, Nusselt number and the lower plate temperature however it has a negligible effect on their mean values.

1.
Moon
,
S. H.
,
Yun
,
H. G.
,
Hwang
,
G.
, and
Choy
,
T. G.
,
2000
, “
Investigation of Packaged Miniature Heat Pipe for Notebook PC Cooling
,”
Int. J. Microcircuits Electron. Packag.
,
23
, pp.
488
493
.
2.
Fedorov
,
A. G.
, and
Viskanta
,
R.
,
2000
, “
Three-Dimensional Conjugate Heat Transfer in the Microchannel Heat Sink for Electronic Packaging
,”
Int. J. Heat Mass Transfer
,
43
, pp.
399
415
.
3.
Zhu
,
L.
, and
Vafai
,
K.
,
1999
, “
Analysis of a Two-Layered Micro Channel Heat Sink Concept in Electronic Cooling
,”
Int. J. Heat Mass Transfer
,
42
, pp.
2287
2297
.
4.
Bowers
,
M. B.
, and
Mudawar
,
I.
,
1994
, “
Two-Phase Electronic Cooling Using Mini-Channel and Micro-Channel Heat Sink
,”
ASME J. Electron. Packag.
,
116
, pp.
290
305
.
5.
,
A.
,
1994
, “
Forced Convection in a Porous Channel With Localized Heat Sources
,”
ASME J. Heat Transfer
,
116
, pp.
465
472
.
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
,
45
, pp.
5107
5115
.
7.
Langlois
,
W. E.
,
1962
, “
Isothermal Squeeze Films
,”
Q. Appl. Math.
,
20
, pp.
131
150
.
8.
Hamza
,
E. A.
,
1992
, “
Unsteady Flow Between Two Disks With Heat Transfer in the Presence of a Magnetic Field
,”
J. Phys. D
,
25
, pp.
1425
1431
.
9.
Bhattacharyya
,
S.
,
Pal
,
A.
, and
Nath
,
G.
,
1996
, “
Unsteady Flow and Heat Transfer Between Rotating Coaxial Disks
,”
Numer. Heat Transfer, Part A
,
30
, pp.
519
532
.
10.
Debbaut
,
B.
,
2001
, “
Non-Isothermal and Viscoelastic Effects in the Squeeze Flow Between Infinite Plates
,”
J. Non-Newtonian Fluid Mech.
,
98
, pp.
15
31
.
11.
Khaled
,
A. R. A.
, and
Vafai
,
K.
,
2003
, “
Flow and Heat Transfer Inside Oscillatory Squeezed Thin Films Subject to a Varying Clearance
,”
Int. J. Heat Mass Transfer
,
46
, pp.
631
641
.
12.
Li
,
Q.
, and
Xuan
,
Y.
,
2002
, “
Convective Heat Transfer and Flow Characteristics of Cu-Water Nanofluid
,”
Sci. China, Ser. E: Technol. Sci.
,
45
, pp.
408
416
.
13.
Xuan
,
Y.
, and
Roetzel
,
W.
,
2000
, “
Conceptions for Heat Transfer Correlation of Nanofluids
,”
Int. J. Heat Mass Transfer
,
43
, pp.
3701
3707
.
14.
Friis
,
E. A.
,
Lakes
,
R. S.
, and
Park
,
J. B.
,
1988
, “
Negative Poisson’s Ratio Polymeric and Metallic Materials
,”
J. Mater. Sci.
,
23
, pp.
4406
4414
.
15.
Eastman
,
J. A.
,
Choi
,
S. U. S.
,
Li
,
S.
,
Yu
,
W.
, and
Thompson
,
L. J.
,
2001
, “
Anomalously Increased Effective Thermal Conductivities of Ethylene Glycol-based Nanofluids Containing Copper Nanoparticles
,”
Appl. Phys. Lett.
,
78
, pp.
718
720
.
16.
Norton, R. L., 1998, Machine Design; An Integrated Approach, Prentice-Hall, New Jersey.
17.
Blottner
,
F. G.
,
1970
, “
Finite-Difference Methods of Solution of the Boundary-Layer Equations
,”
AIAA J.
,
8
, pp.
193
205
.