Ferrofluid Drop Balancing Game

Ferrofluid Drop Balancing Game
Score: 0
Time: 30s
Flow Force: 0.4

Leaderboard

Ferrofluid Drop Balancing Game

Scientific Background: Magnetic Ferrofluids

Ferrofluids are fascinating liquids that become strongly magnetized in the presence of a magnetic field. They are colloidal suspensions of ferromagnetic nanoparticles in a carrier fluid, typically water or an organic solvent.

The behavior of ferrofluids is governed by both hydrodynamic and magnetic forces. The magnetic force on a ferrofluid particle is given by:

Fm = μ0V(M · ∇)H

Where μ0 is the permeability of free space, V is the volume of the magnetic particle, M is the magnetization of the particle, and H is the applied magnetic field.

The hydrodynamic drag force on a spherical particle in a fluid is described by Stokes' law:

Fd = 6πηRv

Where η is the fluid's viscosity, R is the radius of the particle, and v is the particle's velocity relative to the fluid.

In this game, you're balancing these forces to keep the ferrofluid drop in the target area. The flow represents external hydrodynamic forces, while your cursor acts as a magnet, exerting magnetic forces on the drop.

Author

Posted