Well, thank you very much for the great answers. To reply to this point:
John F Dean wrote: I am confused by the statements “if I leave the door of the stove open…”. Are you talking about leaving the door open for a prolonged period?
Yes, my intention was to "sometimes" burn it with an open door to enjoy the fire as one does with a fireplace. Of course when I am sitting nearby and closely watching it to avoid a dangerous situation.
Regarding to this:
Douglas Alpenstock wrote: I am also confused. The whole point of a stove is to provide an engineered system for efficient, controlled, and safe combustion.
You are right. I think I thought if the fireplace in the main house can burn without smoke coming out, the wood stove can too. But they are entirely different designs. And I think in general fireplaces are designed to burn with an open fire.
The comment by John Weiland could be quite to the point:
John Weiland wrote: The cross sectional depiction of such cookstoves indicates the convoluted path that the exhaust must take around the oven (baking) compartment before exiting up the flue
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I didn't think about this before. The smoke definitely takes a more convoluted path around the baking compartment. This is definitely not the case with a fireplace (or perhaps a wood stove without a baking compartment).
And my situation is very similar to Mike Haasl's:
Mike Haasl wrote: If I crack it open an inch, then it doesn't smoke out but when the volume of air that comes in through the door meets or exceeds the volume going up the chimney, I'll get smoke.
Only when I open more than an inch or so, the smoke comes out more visibly. I guess the issue is settled then. With such a wood stove design, one cannot expect smokeless burn if the lid is on -- which is not a safe way to burn it anyways.