Flight in a Viscous Fluid

This picture shows the wake behind a “virtual” insect flying in fluid. The model of the insect is translated in water horizontally. It has a permanent magnet in its rear end which provides a magnetic field in the direction of motion. At the same time the electric current flows between two electrodes in a perpendicular direction in the horizontal plane. The resulting Lorentz force on the fluid is perpendicular to both the current and the magnetic field and acts in the vertical direction. This force, if applied impulsively during some time intervals, simulates the lift force applied by the flapping wings of an insect during downstrokes. This force transfers momentum downwards while the reaction to this force supports the insect in the air. Momentum transfers in the form of vortex rings. These “rings” look like a Greek letter and are connected to each other. The insect is small and the viscosity of the fluid is important. As a result the vortex tubes diffuse in the fluid.


Iakov Afanassiev
Memorial University of Newfoundland
1st Prize ( Open Category )
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