Fans Without Blades

Known as “air multipliers”, these fans by Dyson produces a breeze without the use of any blades. This has the benefit of giving you smooth flow of air without the buffeting that chopping blades would give. Plus the safety is a big plus. You can not get your finger caught in the blades. In fact, you can stick your whole hand through the aperture opening where the air comes out. The aperture size comes in 10 inch or 12 inch. The fans can tilt an swivel like conventional fans.

It uses airfoil technology.

Reference:
Animation of how it works
Explanation by the designer Sir James Dyson