TURBOdesign1 - Theory & Flow Model

Basic Algorithm

• Turbomachinery blade is represented by a sheet of vorticity
• The strength of the sheet of vorticity is rV_θ
  (rV_θ is circumferentially averaged angular momentum)
• The blade is derived by assuming free-slip conditions.

 Flow Model - TD1

Assumption

• Inviscid
• Potential flow (but inlet shear is acceptable)

Calculation of 3D flow fields

• Main flow - stream function (2D Poisson Eq.)

• Blade thickness is simply taken account as a blockage
• Periodic flow - Fourier series (3D Poisson Eq.)
• Numerical grid is required only on the meridional plane

Definition of rV_θ distribution

• Derived by integrating distribution

Reference:
Zangeneh, M. , 1991, "A Compressible Three-Dimensional Design Method for Radial and Mixed Flow Turbomachinery Blades" Int. J. Numerical Methods in Fluids, Vol. 13, 1991, pp. 599-624.