text: If , then  and the streamline corresponding to a particular value of  are those points satisfying
  which is a system of rectangular hyperbolae. This may be seen by again rewriting in terms of real and imaginary components. Noting that  and rewriting  and  it is seen (on simplifying) that the streamlines are given by
  The velocity field is given by , or
  In fluid dynamics, the flowfield near the origin corresponds to a stagnation point.  Note that the fluid at the origin is at rest (this follows on differentiation of  at ). The  streamline is particularly interesting: it has two (or four) branches, following the coordinate axes, i.e.  and . As no fluid flows across the -axis, it (the -axis) may be treated as a solid boundary. It is thus possible to ignore the flow in the lower half-plane where  and to focus on the flow in the upper halfplane. With this interpretation, the flow is that of a vertically directed jet impinging on a horizontal flat plate. The flow may also be interpreted as flow into a 90 degree corner if the regions specified by (say)  are ignored.