Closed form solutions are developed for heat transfer due to radial flow through small gap between two parallel isothermal disks. The thermal entrance length increases with an increase in Peclet number and decrease in the inner radius of the circular disks. The attainment of fully developed Nusselt number is slower for slug flow than for fully developed creeping flow. The effect of disk rotation can be incorporated through an effective pressure gradient. The presence of disk rotation increases the thermal entrance length.

1.
Shah
,
R. K.
, and
London
,
A. L.
, 1978,
Laminar Flow Forced Convection in Ducts
,
Academic
,
New York
, Chaps. V and VI.
2.
Kays
,
W. M.
, and
Crawford
,
M. E.
, 1993,
Convective Heat and Mass Transfer
,
McGraw-Hill
,
New York
.
3.
Possamai
,
F. C.
,
Perreira
,
R. C.
, and
Prata
,
A. T.
, 2001, “
Pressure Distribution in Laminar Radial Flow Through Inclined Disks
,”
Int. J. Heat Fluid Flow
0142-727X,
22
, pp.
440
449
.
4.
Nakabayashi
,
K.
,
Ichikawa
,
T.
, and
Morinshi
,
Y.
, 2002, “
Size of Annular Separation Bubble Around the Inlet Corner and Viscous Flow Structure Between Two Parallel Disks
,”
Exp. Fluids
0723-4864,
32
, pp.
425
433
.
5.
Tashtoush
,
B.
,
Tahat
,
M.
, and
Probert
,
D.
, 2001, “
Heat Transfers and Radial Flows via a Viscous Fluid Squeezed Between Two Parallel Disks
,”
Appl. Energy
0306-2619,
68
, pp.
275
288
.
6.
Palm
,
S. J.
,
Roy
,
G.
, and
Nguyen
,
C. T.
, 2006, “
Heat Transfer Enhancement With the Use of Nanofluids in Radial Flow Cooling Systems Considering Temperature-Dependent Properties
,”
Appl. Therm. Eng.
1359-4311,
26
, pp.
2209
2218
.
7.
Kumar
,
S.
,
Maruta
,
K.
, and
Minaev
,
S.
, 2007, “
Experimental Investigations on the Combustion Behavior of Methane-Air Mixtures in a Micro-Scale Radial Combustor Configuration
,”
J. Micromech. Microeng.
0960-1317,
17
, pp.
900
908
.
8.
Prata
,
A. T.
,
Pilichi
,
C. D. M.
, and
Ferreira
,
R. T. S.
, 1995, “
Local Heat Transfer in Axially Feeding Radial Flow Between Parallel Plates
,”
ASME J. Heat Transfer
0022-1481,
117
, pp.
47
53
.
9.
Bird
,
R. B.
,
Stewart
,
W. E.
, and
Lightfoot
,
E. N.
, 1960,
Transport Phenomena
,
Wiley International ed., Wiley
,
New York
, Chap. 3, p.
114
.
10.
Shah
,
R. K.
, and
Bhatti
,
M. S.
, 1987, “
Laminar Convective Heat Transfer in Ducts
,”
Handbook of Single Phase Convective Heat Transfer
,
S.
Kakac
,
R. K.
Shah
, and
W.
Aung
, eds.,
Wiley
,
New York
, Chap. 3.
11.
Arpaci
,
V. S.
, 1966,
Conduction Heat Transfer
,
Addison-Wesley
,
Reading, MA
, Chap. 4, p.
209
.
12.
Basu
,
S.
, and
Cetegen
,
B. M.
, 2007, “
Effect of Hydraulic Jump on Hydrodynamics and Heat Transfer in a Thin Liquid Film Flowing Over a Rotating Disk Analyzed by Integral Method
,”
ASME J. Heat Transfer
0022-1481,
129
, pp.
657
663
.
You do not currently have access to this content.