Fluid Mechanics: Acceleration Field

1. The problem statement, all variables and given/known data

A picture of the problem is attached

Assume that the streamlines for the wingtip vortices of an airplane can be approximated by circles of radius r, and that the speed is V = K/r where K is a constant

Determine the streamline acceleration as and the normal acceleration an for this flow.

2. Relevant equations

[tex]\vec{a}[/tex] = V dV/dS [tex]\hat{s}[/tex] + V2/R [tex]\hat{n}[/tex]

3. The attempt at a solution

The solution has it that as = 0, which I can understand because dV/dS is 0 for this problem, but it says that an = K/r3, which doesn't make sense unless R = K*r because V2 = K2 / r2

Where did I go wrong?


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