Finding stream functions for a cylinder [fluid mechanics]

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The stream function for a cylinder in a uniform crosswind is expressed as ψ = Ur sin(1 - a²/r²). To demonstrate this formally, one must verify that it satisfies Laplace's equation. Establishing the appropriate boundary conditions is crucial for this proof. Understanding the behavior of the flow around the cylinder is essential for applying these concepts in fluid mechanics. The discussion emphasizes the importance of boundary conditions in deriving the stream function.
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The stream function satisfies Laplace's equation also. All you need to do is figure out what the boundary conditions are.

Chet
 

Thread 'Help needed with Polarisation (Rotated Waveplates)'

(a) The polarisation pattern is elliptical with maximum (1,1) and minimum (-1,-1), and anticlockwise in direction. (b) I know the solution is a quarter-wave plate oriented π/4, and half-wave plate at π/16, but don't understand how to reach there. I've obtained the polarisation vector (cos π/8, isin π/8) so far. I can't find much online guidance or textbook material working through this topic, so I'd appreciate any help I can get. Also, if anyone could let me know where I can get more...
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