exam2 - 2.23 Hydrofoils & Propellers Exam #2 Friday...

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2.23 Hydrofoils & Propellers Exam #2 Friday April 27, 2007 1) [25 pts] Using linearized 2-D foil theory: a) Find the lift coefficient of a parabolic meanline is desired to be Cl = 0.25. Find the camber height of fo/c if the foil is to be at ideal angle of attack. b) What is the maximum value of γ (x) and where does it occur? c) If the cavitation number for this foil is 0.5 will this foil cavitate at the midchord? (show your work). 2) [15 pts] Given a 2D foil with the following characteristics: - Circulation distribution: γ ( x ) U = 0.025 1 + cos(˜ x ) sin(˜ x ) + 0.007sin(˜ x ) + 0.02sin(2˜ x ) - Elliptical thickness form with to/c= 0.03 Find the following assuming linear foil theory: (Given x= 0 is midchord, -c/2 is the leading edge and +c/2 is trailing edge of the foil) a) Lift coefficient C l b) u/U at the midchord upper surface (x=0) c) Using the Lighthill correction find q/U at the leading edge
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3) [40 pts] A propeller blade section at r/R=0.7 is to be designed using the NACA
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exam2 - 2.23 Hydrofoils & Propellers Exam #2 Friday...

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