What is a Clothes Dryer

Before widespread adoption of the clothes dryer in the 20th century, people hung out their laundered clothes to dry, exposing as much surface area as possible to Sun and wind.
The electricity-powered household appliance merely accelerates these natural aids to evaporation.
A tumbler keeps the clothes moving rather than in a heap, providing maximal exposure of surface-water molecules and facilitating their escape from the wet fabric as gas. The machine promotes this escape by applying heat with a wire element and fan; this get some molecules moving.
Another important element is the vent that removes humid air from the tumbler.
When the air is full of water vapour, it becomes dense and heavy, in effect pressing against the liquid molecules attempting to escape their liquid bonds.
Evaporation declines.
The vent keeps the water evaporating until all the clothes are dry.