Drawing streamlines of vector flow

Stream plots are used to visualize a flow in vector fields. Examples from Science and Nature include fields of magnetic and gravitational forces and movement of liquid materials.

A vector field can be visualized in such a way where we assign a line and one or more arrows to every point. The intensity can be represented by the line length, and the direction by an arrow pointing in a particular direction.

Usually, the intensity of the force is visualized with the length of a particular streamline, but the density can also be used for the same purpose.

Getting ready

To visualize vector fields, we will use matplotlib's matplotlib.pyplot.streamplot function. This function creates plots from streamlines of a flow, uniformly filling the domain. The velocities field is interpolated and streamlines are integrated. The original source for this function is to visualize wind patterns or liquid flow; hence, we don't need strict vector lines but a uniform representation...