Reference no: EM13886116
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.
(c) Find the acceleration at rectangular coordinates (22, 0).
(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.
(c) Sketch the body formed by the streamline that separates the source flow from the uniform flow.
(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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