Consider a spiraling line vortex/sink flow in the xy-or r-plane as sketched in Fig. P917. The two-dimensional
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Consider a spiraling line vortex/sink flow in the xy-or rθ-plane as sketched in Fig. P9–17. The two-dimensional cylindrical velocity components (ur, uθ) for this flow field are ur = C/2πr and uθ = Γ/2pr, where C and G are constants (m is negative and Γ is positive). Transform these two-dimensional cylindrical velocity components into two dimensional Cartesian velocity components (u, v). Your final answer should contain no r or θ—only x and y. As a check of your algebra, calculate V2 using Cartesian coordinates, and compare to V2 obtained from the given velocity components in cylindrical components.
Figure 9-17
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Related Book For 
Fluid Mechanics Fundamentals And Applications
ISBN: 9780073380322
3rd Edition
Authors: Yunus Cengel, John Cimbala
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