"Draw" here as the meaning of drag or extract from. It is used for a column of fire that either drags air into itself or that has the air forced into it to keep burning. That column might be a chimney drawing air through its flue or a cigaret, the smoker of which drags air into it by sucking on one end.
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.