Regarding exterior air intakes:
- I've also heard of cobbing an air intake into the thermal mass. I haven't seen it personally, though. Sounded good in theory.
Since this is a "Paul question," I'm going to post an exhaustive, thoughtful, and probably inaccurate theoretical answer.

With lots of components to consider.
Firstly: Please note that the
experience of being in a cosy home with good ventilation and thermal-mass heat outweighs all theory.
I've had this experience in
- homes with passive solar heat in New Zealand and Oregon,
- in Cobville's cosy rocket-heated cottages,
- in southwest desert adobe homes,
- in California Mission architecture, and
- in my own living room.
So I'm a believer. Thermal mass has a bigger impact on heating and cooling a space than air flow. Thermal mass can also be used in conjunction with air flow in very clever ways, with minimal power inputs.
While air-heated homes can be quite comfortable, mass-heated homes can be equally or more comfortable, and tend to use a lot less energy. Appropriate design is key; badly-designed thermal mass can make a space unlivable (like most concrete boxes anywhere).
External Air Source for a rocket stove (or any masonry stove):
"Why bring fresh air in for your stove, and breath stale air yourself?"
Advantages: -Code Compliance: Yes, they may be required by local building code. Will local building code approve a rocket stove in any case? Investigate before installing. Air intake may merely be required to be in the room or general area, and your home's roof vents or windows may already meet this code.
- Mental Control / Entertainment. Separating factors. Playing with things to see how they work. You could theoretically seal off the system from the inside air, adding heat to your home without altering any other factors. If your stove smoked back, it would allow you to seal it off and let it burn out. You could control the air separately from the fuel.
- Fresh Air: Your home could benefit from added fresh air, especially if it's all sealed up with VOC-spewing plastic goop. It may be better to let the air in elsewhere to ventilate the house, and let the stove exhaust 'old' air.
- Draft: Wind configuration and pressure differentials are hard to predict. Your house might not be able to "suck in" air fast enough to allow the draft to discharge properly. If opening a window or door improves the stove's performance, you might consider adding an external air intake near the opening. Or taking other steps to improve draft.
- Extreme Situations: This option seems to be more popular in very cold climates, or in other situations where home insulation approaches the theoretical extreme.
Disadvantages: - Not needed: Your breathing uses oxygen; you would die like a bug if your house sealed completely. So if you're not dead yet, the house is probably already ventilated.
- Invisible = Poorly Maintained. If your stove is smoking back, something needs to be fixed, and sealing up the problem won't make it go away. Clean or modify the stove until you have reliable draft.
- Diminishing Returns: It takes a certain amount of extra work, and creates new problems.
- Design Compatibility: It may be hard to design a vent that will actually feed the stove without interfering with its proper draft. An improperly designed vent could increase the potential for smokeback into the room.
- [Bad] Draft: a vent could just discharge cold air directly into the room in a chilly stream, whether or not the stove is going.
- Hole in the House: Water can leak in through the hole in the building's cladding. Condensation can be a problem, even with good seals, because of temperature differences. All vents are liable to be used by vermin: spiders, wasps, mice, squirrels, rats, birds, or other local wildlife.
"Why heat the air, and then send it out of the house through the stove..."
So many odd assumptions.
Why heat the air at all? It's a lousy heat conductor.
"Send it out of the house through the stove..."
The hottest air is near the ceiling. Most stoves draw air in down near the floor. So you're sending out the cooler air from your home, and hopefully warming a lot more air (and thermal mass) in the process.
If your stove doesn't warm enough air to replace what it "sends out," there's something wrong with the setup.
It's true that a conventional stove or fireplace can draft warm air out of your home even when not in use, and this is something to be avoided.
Most stoves have design details, dampers, or doors that can be closed to limit passive draft. Closing the air intake lid on a rocket stove when you're done firing it, just like with a masonry heater, helps to conserve heat.