The flow in Exercise 13 is two-dimensional because v depends
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The flow in Exercise 13 is two-dimensional because v depends only on x and y and has no component in the z direction. Re
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The flow in Exercise 13 is two-dimensional because v depends only on x and y and has no component in the z direction. Regarded as a plane vector field, it is the field of a twodimensional point source of strength m located at the origin (i.e., fluid is emitted at the origin at the areal rate dA=dt D 2 m). Show that the vector field is conservative, and find a potential function .x; y/ for it.
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