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Potential Flow Theory : Pressure Distribution, Bernoulli's Theorem and Flow Patterns

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Consider the flow past a circular cylinder...

Plot the pressure coefficient Cp along the surface of the cylinder versus θ for O≤θ≤ pi
i What is the value of Cp at θ=5O°
ii At what point around the cylinder's surface will the static pressure equal the freestream pressure.
iii If one combines a source and a sink of equal numerical strength (m) spaced 2b apart, with a uniform parallel flow in the x direction, sketch the resulting flow pattern.
If the source and the sink are moved infinitely close to one another, but the product mx2b is kept constant, sketch the resulting flow pattern.

Please see the attached file for the fully formatted problems.

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Potential Flow Theory, Pressure Distribution, Bernoulli's Theorem and Flow Patterns are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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Problem:

Consider the flow past a circular cylinder.
a) derive the expression of

b) plot the pressure coefficient (Cp) along the surface of the cylinder versus  for 0
c) what is the value of (Cp) at  = 50
d) at what point around the cylinder's surface will the static pressure equal the freestream pressure?
e) If one combine the source and one sink of equal numerical strength (m) spaced 2b apart, with a uniform parallel flow in the (x) direction, sketch the resulting flow pattern
f) If ...

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