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Find the separable solution of Laplace's equation (r,0) = f(r)g(0), where r and are polar coordinates, describing a planar two-dimensional potential flow past a wedge (see the figure below).

Find the separable solution of Laplace's equation (r,0) = f(r)g(0), where r and are polar coordinates, describing a planar two-dimensional potential flow past a wedge (see the figure below).

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Find the separable solution of Laplace's equation (r, 0) = f(r)g(0), where r and are polar coordinates, describing a planar two-dimensional potential flow past a wedge (see the figure below). 00 Show that in this solution the flow speed * = Apa-1 2π where A is an arbitrary constant, a = and the angle < 0o < 27 is defined in the 1 00 figure above.
Transcribed Image Text:Find the separable solution of Laplace's equation (r, 0) = f(r)g(0), where r and are polar coordinates, describing a planar two-dimensional potential flow past a wedge (see the figure below). 00 Show that in this solution the flow speed * = Apa-1 2π where A is an arbitrary constant, a = and the angle < 0o < 27 is defined in the 1 00 figure above.
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