(Answered) 1 show that the difference of the stream functions between

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1. Show that the difference of the stream functions between two streamlines is the flow rate q per unit depth between the two streamlines, i.e., q ¼ c2 - c1.

2. Show that each of the following represents an incompressible plane flow and find the associated stream function or potential function.

(a) f ¼ 10y
(b) c ¼ 20xy
(c) f ¼ 10y (cylindrical coordinates)
(d) c ¼ ð20=rÞsin y (cylindrical coordinates

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