Mathematical expressions are derived for flow velocities and pressure distributions for a laminar flow in the gap between two rotating concentric disks. Fluid enters the gap between disks at the center and diverges to the outer periphery. The Navier–Stokes equations are linearized in order to get closed-form solution. The present solution is applicable to the flow between corotating as well as contrarotating disks. The present results are in agreement with the published data of other investigators. The tangential velocity is less for contrarotating disks than for corotating disks in core region of the radial channel. The flow is influenced by rotational inertia and convective inertia both. Dominance of rotational inertia over convective inertia causes backflow. Pressure depends on viscous losses, convective inertia, and rotational inertias. Effect of viscous losses on pressure is high at small throughflow Reynolds number. The convective and rotational inertia influence pressure significantly at high throughflow and rotational Reynolds numbers. Both favorable and unfavorable pressure gradients can be found simultaneously depending on a combination of parameters.

References

References
1.
Wang
,
B.
,
Okamoto
,
K.
,
Yamaguchi
,
K.
, and
Teramoto
,
S.
,
2014
, “
Loss Mechanisms in Shear-Force Pump With Multiple Corotating Disks
,”
ASME J. Fluids Eng.
,
136
(
8
), p.
081101
.
2.
Nicholas
,
R. A.
, and
Vasudevan
,
K.
,
2014
, “
Flow in a Rotating Cavity With Axial Throughflow at Engine Representative Conditions
,”
ASME Turbo Expo: Turbine Technical Conference and Exposition
, pp.
V05CT16A041
V05CT16A055
.
3.
Molki
,
M.
, and
Nagalla
,
M. K.
,
2005
, “
Flow Characteristics of Rotating Disks Simulating a Computer Hard Drive
,”
Numer. Heat Transfer, Part A
,
48
(
8
), pp.
745
761
.
4.
Aphale
,
C. R.
,
Cho
,
J.
,
Schultz
,
W. W.
,
Ceccio
,
S. L.
,
Yoshioka
,
T.
, and
Hiraki
,
H.
,
2006
, “
Modeling and Parametric Study of Torque in Open Clutch Plates
,”
ASME J. Tribol.
,
128
(
2
), pp.
422
430
.
5.
Zueco
,
J.
, and
Beg
,
O. A.
,
2010
, “
Network Numerical Analysis of Hydromagnetic Squeeze Film Flow Dynamics Between Two Parallel Rotating Disks With Induced Magnetic Field Effects
,”
Tribol. Int.
,
43
(
3
), pp.
532
543
.
6.
Biswas
,
N.
,
Manna
,
N. K.
,
Mukhopadhyay
,
A.
, and
Sen
,
S.
,
2012
, “
Numerical Simulation of Laminar Confined Radial Flow Between Parallel Circular Discs
,”
ASME J. Fluids Eng.
,
134
(
1
), p.
011205
.
7.
Al-Shannag
,
M.
,
Herrero
,
J.
,
Humphrey
,
J. A. C.
, and
Giralt
,
F.
,
2002
, “
Effect of Radial Clearance on the Flow Between Corotating Disks in Fixed Cylindrical Enclosures
,”
ASME J. Fluids Eng.
,
124
(
3
), pp.
719
727
.
8.
Bogy
,
D. B.
,
Fromm
,
J. E.
, and
Talke
,
F. E.
,
1977
, “
Exit Region Central Source Flow Between Finite Closely Spaced Parallel Co-Rotating Disks
,”
Phys. Fluids
,
20
(
2
), pp.
176
186
.
9.
Sim
,
Y. S.
, and
Wen-Jei
,
Y.
,
1984
, “
Numerical Study on Heat Transfer in Laminar Flow Through Co-Rotating Parallel Disks
,”
Int. J. Heat Mass Transfer
,
27
(
11
), pp.
1963
1970
.
10.
Soong
,
C. Y.
, and
Yan
,
W. M.
,
1994
, “
Transport Phenomena in Non-Isothermal Flow Between Co-Rotating Asymmetrically-Heated Disks
,”
Int. J. Heat Mass Transfer
,
37
(
15
), pp.
2221
2230
.
11.
Batista
,
M.
,
2011
, “
Steady Flow of Incompressible Fluid Between Two Corotating Disks
,”
Appl. Math. Modell.
,
35
(
10
), pp.
5225
5233
.
12.
Soong
,
C. Y.
,
Wu
,
C.
,
Liu
,
T.-P.
, and
Liu
,
T.-P.
,
2003
, “
Flow Structure Between Two Co-Axial Disks Rotating Independently
,”
Exp. Therm. Fluid Sci.
,
27
(
3
), pp.
295
311
.
13.
Gauthier
,
G.
,
Gondret
,
P.
,
Moisy
,
F.
, and
Rabaud
,
M.
,
2002
, “
Instabilities in the Flow Between Co-and Counter-Rotating Disks
,”
J. Fluid Mech.
,
473
, pp.
1
21
.
14.
Gan
,
X.
,
Kilic
,
M.
, and
Owen
,
J. M.
,
1994
, “
Superposed Flow Between Two Discs Contrarotating at Differential Speeds
,”
Int. J. Heat Fluid Flow
,
15
(
6
), pp.
438
446
.
15.
Szeri
,
A. Z.
,
Schneider
,
S. J.
,
Labbe
,
F.
, and
Kaufman
,
H. N.
,
1983
, “
Flow Between Rotating Disks. Part 1. Basic Flow
,”
J. Fluid Mech.
,
134
, pp.
103
131
.
16.
Pater
,
L. L.
,
Crowther
,
E.
, and
Rice
,
W.
,
1974
, “
Flow Regime Definition for Flow Between Corotating Disks
,”
ASME J. Fluids Eng.
,
96
(
1
), pp.
29
34
.
17.
Huang
,
R. F.
, and
Hsieh
,
M. K.
,
2011
, “
Turbulent Flow of Quadrangle Mode in Interdisk Midplane Between Two Shrouded Co-Rotating Disks
,”
Exp. Therm. Fluid Sci.
,
35
(
8
), pp.
1608
1620
.
18.
Nazir
,
A.
, and
Mahmood
,
T.
,
2011
, “
Analysis of Flow and Heat Transfer of Viscous Fluid Between Contracting Rotating Disks
,”
Appl. Math. Modell.
,
35
(
7
), pp.
3154
3165
.
19.
Bakket
,
E.
,
Kreider
,
J. F.
, and
Kreith
,
F.
,
1973
, “
Turbulent Source Flow Between Parallel Stationary and Co-Rotating Disks
,”
J. Fluid Mech.
,
58
(
2
), pp.
209
231
.
20.
Mazza
,
R. A.
, and
Rosa
,
E. S.
,
2007
, “
Corotating Disk Assembly With Turbulent Through Flow
,”
Numer. Heat Transfer, Part A
,
53
(
2
), pp.
157
177
.
21.
Shirazi
,
S. A.
, and
Truman
,
C. R.
,
1988
, “
Prediction of Turbulent Source Flow Between Corotating Disks With an Anisotropic Two-Equation Turbulence Model
,”
ASME J. Turbomach.
,
110
(
2
), pp.
187
194
.
22.
Singh
,
A.
,
2014
, “
Inward Flow Between Stationary and Rotating Disks
,”
ASME J. Fluids Eng.
,
136
(
10
), p.
101205
.
23.
Lee
,
P. M.
, and
Lin
,
S.
,
1985
, “
Pressure Distribution for Radially Inflow Between Narrowly Spaced Disks
,”
ASME J. Fluids Eng.
,
107
(
3
), pp.
338
341
.
You do not currently have access to this content.