Computation of flow between two disks rotating at different speeds

Kilic M., Owen J.

Journal of Turbomachinery, vol.125, pp.394-400, 2003 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 125
  • Publication Date: 2003
  • Doi Number: 10.1115/1.1539515
  • Journal Name: Journal of Turbomachinery
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.394-400


Disks rotating at different speeds are found in the internal cooling-air systems of most gas turbines. Defining Γ as the ratio of the rotational speed of the slower disk to that of the faster one then Γ = -1, 0 and +1 represents the three important cases of contra-rotating disks, rotor-stator systems and co-rotating disks, respectively. A finite-volume, axisymmetric, elliptic, multigrid solver, employing a low-Reynolds-number k-ε turbulence model, is used for the fluid-dynamics computations in these systems. The complete Γ region, -1≤Γ≤+1, is considered for rotational Reynolds numbers of up to ReΦ = 1.25 × 106, and the effect of a radial outflow of cooling air is also included for nondimensional flow rates of up to Cw=9720. As Γ→-1, Stewartson-flow occurs with radial outflow in boundary layers on both disks and between which is a core of nonrotating fluid. For Γ≈0, Batchelor-flow occurs, with radial outflow in the boundary layer on the faster disk, inflow on the slower one, and between which is a core of rotating fluid. As Γ → + 1, Ekman-layer flow dominates with nonentraining boundary layers on both disks and a rotating core between. Where available, measured velocity distributions are in good agreement with the computed values.