In this paper, a three-dimensional computational model for the solution of the time-averaged Navier-Stokes equations, based on a pressure correction method and the k-ε turbulence model, is presented and implemented for the viscous flow modelling through a series of centrifugal compressors. Theoretical calculations with the current fully elliptic method are carried out and the results are compared critically with available experimental data and with results from other computational models. A radial and two backswept high-speed subsonic compressors with different geometrical and operating characteristics are analysed at design and off-design conditions. In all cases, a wake flow pattern is evident and strong secondary flows are discerned. The tip clearance effects on the relative flow pattern are found to be important and are appropriately simulated. The predictive capability of the current flow model is judged to be encouraging taking into consideration the limitations of the physical models and the numerical schemes involved in the computations. 1. Abstract Nomenclature A, A p Coefficients of the finite difference VR Relative velocity g* J Grid metric coefficients k Turbulence kinetic energy m' Local mass source ρ Static pressure p' Static pressure correction u, v, w Cartesian velocity components x, y, ζ Cartesian coordinates equations C r Specific heat at constant pressure C", C,, C2 Constants in the k-ε turbulence model G Production rate of turbulence kinetic I J Ρ R G c energy Rotation and curvature modification term Rothalpy Jacobian of the coordinate transformation Total pressure Distance from the axis of rotation Γ Diffusion coefficient for the general transport equation Δξ,Δη,Δζ Cell boundary dimensions in the transformed plane Θ Relative flow angle Φ General scalar quantity Ω Rotational speed of the impeller ε Dissipation rate of turbulence energy Sijic 1 if ijk cyclic, -1 if ijk anti-cyclic, 0 otherwise S Source term in the general transport equation Τ Static temperature U, V, W Curvilinear velocity components 35 Brought to you by | provisional account Unauthenticated Download Date | 7/2/15 2:11 AM