Plotting stream function as filled contour surface?

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I have a matrix with columns denoting 'theta' and rows denoting 'radial distance'. I want to obtain a plot of stream function contour; say 'r' varies from 0.5 to 10; 'theta' varies from 0 to 2pi
Calculate Z=10*(r-1/r)*sin(theta) and plot as surface plot on r-theta plane.

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