wu :: forums - Print Page


    
      
        wu :: forums
        (http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi)
      

        riddles >> putnam exam (pure math) >> Complex Variable Mapping
        
(Message started by: Sameer on Dec 6^th, 2006, 10:28pm)

Title: Complex Variable Mapping
Post by Sameer on Dec 6^th, 2006, 10:28pm

I came across this and haven't worked out the solution, but found it interesting.

For two complex planes w,z; show that the function w = A(z + a²/z) may be used to represent the flow of a perfect incompressible fluid pas a circular cylinder. Also find the stagnation points. 'A' and 'a' are constants.

Title: Re: Complex Variable Mapping
Post by Sameer on Dec 10^th, 2006, 2:04pm

The complex plane, take w = u + iv and z = x+iy and go from there.