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Consider a source of strength m = Q/(2*pi) located at the point (x,y) = (0,a) ab

ID: 2994750 • Letter: C

Question

Consider a source of strength m = Q/(2*pi) located at the point (x,y) = (0,a) above a horizontal wall corresponding to the x axis.


a) What image, strength, and location is required to make the x-axis an impermeable wall? Write down the complex potential for the resulting flow. Make a sketch of the flow pattern.


b) find the complex velocity u - iv for this flow.


c) Find a formula for u(x) on the wall. Sketch the velocity distribution on the wall.


d) find the location(s) on the wall where the speed (i.e. the magnitude of the velocity) is a maximum.


e) Find a formula for the pressure distribution on the wall. assuming that p = p_[o] at (x,y) = (0,0)

Explanation / Answer

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