Download Flow separation on wind turbine blades by Gustave P. Corten PDF

By Gustave P. Corten

This seems to be a doctoral thesis on strength extraction from wind generators. The contents are in English with a few peripheral dutch language.

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33) In this way one can find a new estimate for a and a’, but these values are still based on the condition of undisturbed inflow. One has to go through this procedure a number of times to find more correct values for the forces and induction factors. By doing so for many radial positions and many wind speeds, the rotor performance can be calculated. The geometry can subsequently be changed until optimum performance is obtained. Relevant changes include the local pitch angle β, the chord c, the airfoil that determines the tables for cl and cd and the rotor speed.

In the case of a wind turbine it is normally sufficient to account for the tip vortices only. It should be noted that the velocity pattern described by the bound vorticity that was present in the wind tunnel is excluded from the induction velocities in 'Prandtl terms'. 1 Prandtl Finite Airfoil Induction This section gives a summary of Prandtl's reasoning for obtaining a general expression for the induced drag of finite airfoils. The fact that lift is necessarily accompanied by induced drag was first pointed out by Lanchester; later Prandtl developed a rigorous system of mathematical equations which will be explained below.

The velocity gradient in the flow direction ∂u/∂x is proportional to U/L, hence the inertia force ρu∂u/∂x is of the order ρU2/L. The velocity gradient perpendicular to the wall is of the order U/δ, so that the friction µ∂2u/∂x is proportional to µU/δ 2. Since friction and inertia forces are comparable we get: µU/δ 2 ≈ ρU2/L. the separated area. Now we ask what happens when the flow over the plate separates due to a positive pressure gradient. We return to our co-ordinates system where rθ compares to the x-direction and vθ.

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