Question

The velocity potential of a steady, two-dimensional incompressible flow is given by p(x, y) = x² —

y² + C where C is a constant. Neglect gravity. The pressure at point (0,0) is given by po.

1.

2.

Find the velocity vector components u and v.

Show that the vorticity vector is zero.

Find the stream function of this flow.

Find the pressure field p = p(x, y).

3.

4.

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