Chapter 10, Problem 16P

The equation for the streamlines for uniform flow over a cylinder is

$\Psi (x,y)=y-\frac{y}{x^2+y^2}$

where Ψ is the stream function. For example, if Ψ =0, then. . Since the equation is satisfied for all x, the x axis is the zero (Ψ = 0) streamline. Observe that the collection of points where x²+y²= 1 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 I 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.