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Topic: Complex Variable Mapping (Read 458 times) |
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Sameer
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Pie = pi * e
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Complex Variable Mapping
« on: Dec 6th, 2006, 10:28pm » |
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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.
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"Obvious" is the most dangerous word in mathematics.
--Bell, Eric Temple
Proof is an idol before which the mathematician tortures himself.
Sir Arthur Eddington, quoted in Bridges to Infinity
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Sameer
Uberpuzzler
Pie = pi * e
Gender:
Posts: 1261
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Re: Complex Variable Mapping
« Reply #1 on: Dec 10th, 2006, 2:04pm » |
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The complex plane, take w = u + iv and z = x+iy and go from there.
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IP Logged |
"Obvious" is the most dangerous word in mathematics.
--Bell, Eric Temple
Proof is an idol before which the mathematician tortures himself.
Sir Arthur Eddington, quoted in Bridges to Infinity
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