The equation for the streamlines for uniform flow over a cylinder is ?(x, y)=y-(

Question

The equation for the streamlines for uniform flow over a cylinder is ?(x, y)=y-(y/
x2 + y2)
where ? is the stream function. For example, if ? = 0, then y = 0. Since the equation is satisfied for all x, the x axis is the zero (? = 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 1 in. radius. Set up the
domain for x and y to range between

Explanation / Answer

[x,y] = meshgrid(-3:.2:3,-3:.2:3); z = y-y./(x.^2+y.^2); daspect([1 1 1]) [C,h] = contour(x,y,z,100); hold on ezpolar('1') hold off

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