This paper describes a combined computational and experimental study of the turbulent flow between two contrarotating disks for −1 ≤ Γ ≤ 0 and Reφ ≈ 1.2 × 106, where Γ is the ratio of the speed of the slower disk to that of the faster one and Reφ is the rotational Reynolds number. The computations were conducted using an axisymmetric elliptic multigrid solver and a low-Reynolds-number k–ε turbulence model. Velocity measurements were made using LDA at nondimensional radius ratios of 0.6 ≤ x ≤ 0.85. For Γ = 0, the rotor–stator case, Batchelor-type flow occurs: There is radial outflow and inflow in boundary layers on the rotor and stator, respectively, between which is an inviscid rotating core of fluid where the radial component of velocity is zero and there is an axial flow from stator to rotor. For Γ = −1, antisymmetric contrarotating disks, Stewartson-type flow occurs with radial outflow in boundary layers on both disks and inflow in the viscid nonrotating core. At intermediate values of Γ, two cells separated by a streamline that stagnates on the slower disk are formed: Batchelor-type flow and Stewartson-type flow occur radially outward and inward, respectively, of the stagnation streamline. Agreement between the computed and measured velocities is mainly very good, and no evidence was found of nonaxisymmetric or unsteady flow.

1.
Batchelor
G. K.
,
1951
, “
Note on a Class of Solutions of the Navier–Stokes Equations Representing Steady Rotationally-Symmetric Flow
,”
Quart. J. Mech. Appl. Maths.
, Vol.
4
, pp.
29
41
.
2.
Batchelor, G. K., 1967, An Introduction to Fluid Dynamics, Cambridge University Press, London.
3.
Dijkstra
D.
, and
van Heijst
G. J. F.
,
1983
, “
The Flow Between Two Finite Rotating Disks Enclosed by a Cylinder
,”
J. Fluid. Mech.
, Vol.
128
, pp.
123
154
.
4.
Gan, X., Kilic, M., and Owen, J. M., 1993, “Flow and Heat Transfer Between Gas Turbine Discs,” AGARD-CP-527, pp. 25.1 to 25.11.
5.
Gan
X.
,
Kilic
M.
, and
Owen
J. M.
,
1995
, “
Flow Between Contrarotating Discs
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
117
, pp.
298
305
.
6.
Kilic, M., 1993, “Flow Between Contrarotating Discs,” PhD thesis, University of Bath, United Kingdom.
7.
Launder
B. E.
, and
Sharma
B. I.
,
1974
, “
Application of the Energy Dissipation Model of Turbulence to the Calculation of Flow Near a Spinning Disc
,”
Letters in Heat and Mass Transfer
, Vol.
1
, pp.
131
138
.
8.
Lonsdale
G.
,
1988
, “
Solution of a Rotating Navier–Stokes Problem by a Nonlinear Multigrid Algorithm
,”
J. Comp. Phys.
, Vol.
74
, pp.
177
190
.
9.
Morse
A. P.
,
1991
a, “
Assessment of Laminar–Turbulent Transition in Closed Disc Geometries
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
113
, pp.
131
138
.
10.
Morse
A. P.
,
1991
b, “
Application of a Low Reynolds k–ε Turbulence Model to High-Speed Rotating Cavity Flows
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
113
, pp.
98
105
.
11.
Owen, J. M., and Rogers, R. H., 1989, Flow and Heat Transfer in Rotating Disc Systems, Vol. 1: Rotor–Stator Systems, Research Studies Press, Taunton; Wiley, New York.
12.
Stewartson
K.
,
1953
, “
On the Flow Between Two Rotating Coaxial Disks
,”
Proc. Camb. Phil. Soc.
, Vol.
49
, pp.
333
341
.
13.
Vaughan, C. M., Gilham, S., and Chew, J. W., 1989, “Numerical Solutions of Rotating Disc Flows Using a Non-linear Multigrid Algorithm,” Proc. 6th Int. Conf. Num. Meth. Lam. Turb. Flow., Pineridge Press, Swansea, pp. 66–73.
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