Theoretical Aerodynamics by Rathakrishnan Ethirajan

Author:Rathakrishnan, Ethirajan [Rathakrishnan, Ethirajan]
Language: eng
Format: epub
Publisher: Wiley
Published: 2013-08-11T14:00:00+00:00

5.18 Point Rectilinear Vortex

It is the limiting case of a circular vortex of constant strength γ with radius a tending to zero. We have seen that any point outside a circular vortex of strength γ, at distance r from the center, the velocity γ/r is at right angles to r. If we let the radius a of the vortex tend to zero, the circle shrinks to a point. This limiting vortex of zero radius is called a point rectilinear vortex, or simply a point vortex of strength γ. When the radius tends to zero, the cylindrical vortex tube shown in Figure 5.46 shrinks to a straight line and the vortex becomes a single rectilinear vortex represented by a point in the plane of motion, as shown in Figure 5.50.

Figure 5.50 Point rectilinear vortex at origin in xy-plane.

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