### Write the velocity potential f and stream function c

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Superimpose a uniform ?ow parallel to the x-axis of 10 m=s and a source at the origin of strength ¼ 10p m2/s.

(a) Write the velocity potential f and stream function c.

(b) Locate any stagnation points.

(c) Sketch the body formed by the streamline that separates the source ?ow from the uniform ?ow.

(d) Locate the positive y-intercept of the body of (c).

(e) Determine the thickness of the body of (c) at ¼ -1.

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