Transitional Flow Between Contra-Rotating Disks

Kılıç M., Gan X., Owen J.

Journal of Fluid Mechanics, vol.281, pp.119-135, 1994 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 281
  • Publication Date: 1994
  • Doi Number: 10.1017/s0022112094003058
  • Journal Name: Journal of Fluid Mechanics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.119-135
  • Bursa Uludag University Affiliated: Yes


This paper describes a combined computational and experimental study of the flow between contra-rotating disks for — 1 ≤Γ≤0 and Reϕ= 105, where is the ratio of the speed of the slower disk to that of the faster one and Reϕ is the rotational Reynolds number of the faster disk. For Γ = 0, the rotor-stator case, laminar and turbulent computations and experimental measurements show that laminar Batchelor-type flow occurs: there is radial outflow in a boundary layer on the rotating disk, inflow on the stationary disk and a rotating core of fluid between. For Γ= — 1, the laminar computations produce Batchelor-type flow: there is radial outflow on both disks and inflow in a free shear layer in the mid-plane, on either side of which is a rotating core of fluid. The turbulent computations and the velocity measurements for Γ = — 1 show Stewartson-type flow: radial outflow occurs in laminar boundary layers on the disks and inflow occurs in a non-rotating turbulent core between the boundary layers. For intermediate values of Γ, transition from Batchelor-type flow to Stewartson-type flow is associated with a two-cell structure, the two-cells being separated by a streamline that stagnates on the slower disk; Batchelor-type flow occurs radially outward of the stagnation point and Stewartson-type flow radially inward. The turbulent computations are mainly in good agreement with the measured velocities for Γ = 0 and Γ= — 1, where either Batchelor-type flow or Stewartson-type flow occurs; there is less good agreement at intermediate values of Γ, particularly for F = —0.4 where the double transition of Batchelor-type flow to Stewartson-type flow and laminar to turbulent flow occurs in the two-cell structure. © 1994, Cambridge University Press. All rights reserved.