Question: 1. Superimpose a potential vortex flow and a source flow with the centres at the origin. Solve for the velocity components in polar coordinates

1. Superimpose a potential vortex flow and a source flow with the centres at the origin. Solve for the velocity components in polar coordinates (ur, uo). Show that the result is a spiral flow in which the velocity is everywhere inclined at the same angle to the radius vector from the origin, the angle being tan(-[/^). Sketch the streamlines for this flow.

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