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3.8 If the velocity distribution for a 2D ideal flow is given by
u =
(1+1)*
1+2t
Obtain the equation of:
(a) the streamlines
(b) the pathlines
(c) the streaklines that pass through point (1, 1) at t= 0.
1/2
1/2
1+ In (x)
1- In (x)]
(1+2t){1+(1+2t)In(x)}
1+2t – In(x)
(1+4
(b) у
(c) y=
1+2t
Ans: (a) y= x

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