Consider the velocity potential in plane polar coordinates a $(r,0) = U| r + кө cos 0+ 2n r Find the velocity field and show that it corresponds to flow past a cylinder r=a with circulation K and uniform flow U at large distances.
Consider the velocity potential in plane polar coordinates a $(r,0) = U| r + кө cos 0+ 2n r Find the velocity field and show that it corresponds to flow past a cylinder r=a with circulation K and uniform flow U at large distances.
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Transcribed Image Text:Consider the velocity potential in plane polar coordinates
a'
$(r,0) = U|r+
кө
|cos 0 +
2n
Find the velocity field and show that it corresponds to flow past a cylinder r= a with
circulation K and uniform flow U at large distances.
Find the distribution of pressure p over the surface of the cylinder. Hence find the x and y
components of the force on the cylinder
(F,„F,)= (cos 0, sin 0) pa do.
‚F.
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