(Answered) 1 show that the flow represented by f frac14 10r cos y

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1. Show that the flow represented by f ¼ 10r cos y þ 40 ln r m2=s is an incompressible flow. Also,

(a) Find the stream function c.

(b) Find the pressure along the negative x-axis if water is flowing and p ¼ 100 kPa at x ¼ -1.

(d) Locate any stagnation points.

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

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

(b) Locate any stagnation points.

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

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

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