Consider a uniform flow with velocity U in the positive x
Chapter 6, Problem 6.70(choose chapter or problem)
Consider a uniform flow with velocity U in the positive x direction combined with two free vortices of equal strength located along the y-axis. Let one vortex located at y = a be a clockwise vortex \((\psi=K \ln r)\) and the other at y = -a be a counterclockwise vortex, where K is a positive constant. It can be shown by plotting streamlines that for Ua/K < 2 the streamline \(\psi=0\) forms a closed contour, as shown in Fig. P6.70. Thus, this combination can be used to represent flow around a family of bodies (called Kelvin ovals). Show, with the aid of a graph, how the dimensionless height, H/a, varies with the parameter Ua/K in the range 0.3 < Ua/K < 1.75.
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