This is what I built last year:
There is no barrel since stove had to be a foot thick. That's why I decided to try what I never seen before, put one pipe next to another. One is insulated, the other is not. One is heat riser, so what is the other? Anyway, it works perfectly, I had never smoke in this room, starting fire always goes smootly, even my wife likes to do it. Just want you to know. Oh, yes, the pipe goes under the stove, to confuse you
Whole
project can be seen here:
http://www.perforum.info/index.php?topic=277.msg576#msg576
It's in croatian so you wouldn't get much out of text there, but there are a lot of pictures, if someone is interested how the stuff is made.