GATE Civil Engineering
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Uniform flow with velocity $U$ makes an angle $\theta$ with $y$-axis, as shown in the figure

The velocity potential $(\phi)$, is 

  1. $\pm U(x\sin\theta+y\cos\theta)$
  2. $\pm U(y\sin\theta-x\cos\theta)$
  3. $\pm U(x\sin\theta-y\cos\theta)$
  4. $\pm U(y\sin\theta+x\cos\theta)$
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