My wild guess is that you lose about 25 percent of your heat up the chimney of a wood stove. But there are so many variables it seems impossible to come up with a number that means anything. I remember standing on my roof and feeling the heat come out of my chimney when the wood stove was going. It felt a lot like a furnace hot air duct with warm air rushing out.
The chimney will absorb a lot of the heat and radiate it back into the house where the chimney runs through the house. The temperature of the flue will vary tremendously depending on what you're burning and how you have the damper adjusted. Burning at a rate of 7 pounds per hour will mean different heat outputs depending on the its moisture content. I can't imagine being able to control my fuel consumption so precisely. Maybe you could with one of those new pellet stoves, but with my wood stove the fuel consumption rate probably fits a bell shaped curve (i.e. a little at the beginning, then growing to a maximum, then slowly tapering off until the stove embers die).
The heat that comes off a chimney fire of burning creosote is almost unimaginable. If you could figure out how to bottle it and sell it, you'd give the Saudis a run for their money.
Your questions got me curious. I've burned wood for probably 30 years. My main issues with it included the following: how to adjust the damper so I'd still have coals glowing in the morning, what size chunks to throw in, what kind of wood to keep that burns hot and slow, how to get a fire started quickly and easily, where to find a secure source of good wood, how to keep it dry, how to get it cut and split without handling it too many times, and how to keep from burning my house down.
It absolutely never occurred to me to think about BTUs and stack temperature and air flow up the chimney, however I did recognize it was conventional wisdom to accept that some heat has to go up the chimney in order to keep the draft going as well as to minimize creosote. So I'm curious. Why are you trying to come up with these numbers? Are you trying to design a stove or something?
As one final point of interest, we started burning propane last winter. We still have the wood stove, but seldom use it now because it got really hard to find anyone to sell us firewood. I've noticed that when I do touch off the stove, I have all kinds of smoke problems that I never had before when the stove ran all the time. My conclusion is there must have been an enormous amount of heat stored in the chimney masonry that prevented the downdrafts. Now, the heat's not there and I have a terrible time with my stove back blowing smoke. --tom