What energy conversion is taking place when working of a hair dryer

The electricity is converted to heat energy in a wire coil. Most hairdryers use a nichrome wire coil that will not oxidize when heated. The wire heats the air so quickly, in most hair dryers, the air is only in the barrel for a half of a second.

In hair dryer,

A part of electrical energy is converted to Heat energy and a major part of it is converted to mechanical energy in the form of rotation of the blades at high speed.