Fluid vortices in solid materials

Σεμινάριο Εφαρμοσμένων και Υπολογιστικών Μαθηματικών [Video]

Vortices in fluids

When a part of the fluid is rotating clockwise or anticlockwise in closed loops, a vortex is formed.

Pairs of vortices in fluids are created when part of the fluid is set in motion.

Vortex created by the passage of an aircraft wing, revealed by coloured smoke.

The circulation is the line integral of the fluid velocity around a closed curve

$$ \Gamma = \oint_C \bm{v}\cdot d\bm{s} $$

and it measures the strength of the vortex.

Vortices are usually created in pairs with opposite circulation.

We typically call one of the two a "vortex" and the oppositely circulating one an "antivortex".

Pairs a vortices are traveling.

Two pairs of fluid vortices collide. [From Karl Sims.]