- #1

jewels18080

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## Homework Statement

In a xyz cartesian coordinate system, a thin vortex filament with constant circulation Gamma, forms a square (in the xy plane), with each side of the square having length L. You are told that an infinitesimal segment del (vector) of this filament induces an infinitesimal velocity dv (vector) at a point P on the xy plane, according to the given formula.

dv = Gamma/(4*pi)*(del x r)/(r^3)

where x is the cross product, r is the vector from the infinitesimal filament segment to point P. Calculate the velocity components at the center of the square.

## Homework Equations

dv = Gamma/(4*pi)*(del x r)/(r^3)

## The Attempt at a Solution

v = Gamma/(4*pi)*integral(sin(theta)/r^3)dl

From here, I have no idea how to solve.

Any help would be much appreciated. Thank you for your time.