# Alpha.Blade.Element.Forward.Flight - Angle of Attack of a...

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Unformatted text preview: Angle of Attack of a Blade Element in Forward Flight As discussed in the class, T P T T P T P effecive U U U U U U U- =- 2245 - = θ θ θ α arctan (1) Here: ψ θ ψ θ θ θ θ sin cos 1 1 s c tw R r + + + = ψ ψ α sin sin cos V r V r U s T + Ω 2245 + Ω = ψ β β λ ψ β α β λ cos cos cos V r R V r R U s s P + + Ω 2245 + + Ω = (2) Here λ s means inflow in the shaft plane. This is made of two components: free-stream component Vsin α s / Ω R plus the induced inflow component v/ Ω R. Let us compute the numerator of the effective angle of attack. ( 29 ( 29 ψ β β λ ψ θ ψ θ θ θ ψ θ cos sin cos sin 1 1 V r R R r V r U U s s c tw P T + + Ω- + + + ⋅ + Ω =- (3) Simplify, group sin and cosine terms. Also note that ( 29 ψ β ψ β ψ β ψ ψ β β β sin cos 1 1 c s d d dt d d d dt d- Ω = Ω = ⋅ = = (4) One gets: ( 29 ( 29 {...
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Alpha.Blade.Element.Forward.Flight - Angle of Attack of a...

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