2D Ideal Fluid Flow

Every analytic function is a complex potential for an ideal fluid flow, where its real part is the velocity potential and its imaginary part is the stream function for the flow.

Plot the complex potential and streamlines for an ideal fluid flow in a sector.

Plot the complex potential, equipotential lines (dashed) and streamlines (solid) for an ideal fluid flow around a sharp plate (white). The gray dashed curves are curves of constant fluid speed.

Plot the complex potential and streamlines for an ideal fluid flow exterior to a corner.

Plot the complex potential and streamlines for an ideal fluid flow around a cylinder with circulation.