That's how the two I have made, work. The oil is gravity fed into a narrow-bore copper radiator pipe which eventually runs down the middle-ish of a 2" bit of stainless pipe through which I blow air - this is my 'burner'. Both pipes stop at the end, entering tangential-ish to the inside of the furnace - the outer stainless pipe is slotted at the end to enable a kind of partially-folded vegetable steamer idea (I suspect this is not very clear!) to reduce the diameter and speed up the air stream a bit. I was told this was important by the guy who had already done it who advised me - I have not tried without.I think he just drips the fuel into the combustion air stream, and his fuel line stops at the end of the burner tube, about at the inside face of the furnace.
I have seen some flatten the end of the fuel pipe, but generally I don't think that is done with a drip-style burner.
Like this, but not as folded up!
KitchenCraft Stainless Steel Steaming Basket - 23cm
I start it on sticks and then adjust oil feed with a simple plug **** and air with a cheapo SCR controller on the noisy vacuum-cleaner blower. It all works well enough in a violent 'mouth of hell' kind of way. The one I used most often is located a long way from any neighbours, though it is not too smoky once it is warmed up.