Using Buckingham Pi theorem to derive CL and CD relations

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Hello,

I have homework #2 for AE 333 (Aerodynamics).

Problem 1:

Using Buckinghams Pi theorem, show that CL = f(M, Re) for an airfoil tested in a wind tunnel where compressibility effects are important.

Problem 2:

Using Buckinghams Pi theorem, show that CD = f(Re) for a sphere tested in a water tunnel.

Then:

b) Find the required sphere velocity to simulate a balloon rising at 8 m/s.

c) Determine the balloon drag force if the measured drag on the sphere is 60 N.

Please provide clear step-by-step solution.

Requirements: Fully

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