Computation of flow between two discs rotating at different speeds

KILIÇ M., Owen J. M.

ASME TURBO EXPO 2002: Heat Transfer, Manufacturing Materials and Metallurgy, Amsterdam, Netherlands, 3 - 06 June 2002, pp.749-760 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • Doi Number: 10.1115/gt2002-30242
  • City: Amsterdam
  • Country: Netherlands
  • Page Numbers: pp.749-760
  • Bursa Uludag University Affiliated: Yes


Discs 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 disc to that of the faster one then Γ = -1, 0 and +1 represents the three important cases of contra-rotating discs, rotor-stator systems and co-rotating discs, 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 Reθ = 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 discs 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 disc, 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 discs and a rotating core between. Where available, measured velocity distributions are in good agreement with the computed values.