17. The equation for the streamlines for uniform flow over a cylinder is where is the stream function. For example, if , then . Since the equation is satisfied for all x, the x axis is the zero ( ) streamline.

Observe that the collection of points where is also a streamline.

Thus, the stream function above is for a cylinder of radius 1. Make a 2-D contour plot of the streamlines around a cylinder with 1 in. radius. Set up the domain for x and y to range between –3 and 3. Use 100 for the number of contour levels. Add to the figure a plot of a circle with a radius of 1. Note that MATLAB also plots streamlines inside the cylinder. This is a mathematical artifact.