burn away
1. [for something] to burn until there is no more of it. All the oil burned away. The logs burned away and the fireplace was cooling down.
2. for something to keep on burning. The little fire burned away brightly, warming the tiny room. The candle burned away, giving a tiny bit of light to the huge room.
burn something away
to remove or destroy something by burning. The doctor burned the wart away. The doctor burned away the wart.