Flue

The pipe which extracts the gases away from the stove.

 Grate

The bed that your solid fuel rests on while it is burning.

 Primary air supply

This is the main source of air (internal to the stove) which provides combustion.  This is located at the top of wood-burning stoves vs. multi-fuel stoves which have this at the bottom of the stove.

Register plate

The plate used to seal the bottom of a chimney in an pen fireplace – when you install a stove, there will be a hole cut in the register plate for the flue.

 Secondary air supply

The additional air supply which improves combustion.