Consider a spiraling line vortex/sink flow in the xyor ru-plane as sketched in Fig
Chapter 9, Problem 9-17(choose chapter or problem)
Consider a spiraling line vortex/sink flow in the xyor ru-plane as sketched in Fig. P917. The two-dimensional cylindrical velocity components (ur, uu) for this flow field are ur 5 C/2pr and uu 5 G/2pr, where C and G are constants (m is negative and G is positive). Transform these two-dimensional cylindrical velocity components into twodimensional Cartesian velocity components (u, v). Your final answer should contain no r or uonly x and y. As a check of your algebra, calculate V 2 using Cartesian coordinates, and compare to V 2 obtained from the given velocity components in cylindrical components.
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