An integral method of calculating the three-dimensional turbulent boundary layer development through the blade rows of turbomachines is described. It is based on the solution of simultaneous equations for
(i) & (ii) the growth of streamwise and cross-flow momentum thicknesses;
(iii) entrainment;
(iv) the wall shear stress;
(v) the position of maximum cross-flow.
The velocity profile of the streamwise boundary layer is assumed to be that described by Coles. The cross-flow profile is assumed to be the simple form suggested by Johnston, but modified by the effect of bounding blade surfaces, which restrict the cross-flow. The momentum equations include expressions for “force-defect” terms which are also based on secondary flow analysis.
Calculations of the flow through a set of guide vanes of low deflection show good agreement with experimental results; however, attempts to calculate flows of higher deflection are found to be less successful.
Influence of initial phase on subharmonic resonance in an incompressible boundary layer
