Well Cliff, first of all many thanks for taking the time to detail your experience and share it online. That is one fine piece of workmanship. Only one problem. Now I HAVE to build one.

But I do have some questions for you. Actually a lot of questions.
Train, thanks for the compliment.
First about your funnel. Is it just butted up tight to the air tube?
Yes it is. That funnel was made out of a cap off a welding bottle (shielding gas for mig welder). I just cut the end off and drilled holes on each side. Welded nuts over each hole and screwed a bolt into the nut. Also used another nut to lock the bolt. The hole were the air and oil comes out of, is 1 inch in diameter. 1 inch hole was enough to allow the funnel to compress the air. My blower motor has enough volume of air, but I need to compress or localize the air it so that it would atomize the oil. This acts like a fuel injector so to speak. Its hard to see in the video's, but seeing it in person. The oil comes out about 1.5 inchs and as it enters the top tube on the burner, the oil patterns out (kind of like a umbrella , like this--->/\ ). The inside of the tube acts like a vortex. The air entering the burner, swirls inside. This also helps to atomize the oil.
The little door on your burn tube, I assume is just so the flame is directed to the back of the furnace yes?
That door is for cleaning and preheating the burner. That door allows me to to clean the inside of the burner. I also use it for when I pour 4 ounces of diesel in it to help preheat the burner. I was using 1 ounce of oil and shreaded paper. But the paper would burn up to fast. The burner has to reach 375 degree (F) before I turn the oil on. The paper just burnt up before the burner reached that temperature. 4 ounces of diesel would get the burner up to 500 degrees (F). Oil take allot of heat to effectively burn proper (clean burn).
What is the distance between the two barrels?
I think its 7 inchs between the two barrels.
Do you think that the two barrels could be shorter than the 3 footers that you used?
Yes, the barrels could be shorter. I went with 3 feet cause I thought if burning waste oil did not work out or was to much work. I could convert it over to burning fire wood. That is why I have 3 inch angle iron welded inside of the stove. I still have a grate that fits inside of my stove. All I have to do is take a torch and cut the down pipe out and weld a plug in its place. My flue pipe has a damper installed in it as well. I would just have to build a ash pan for it. The front of the stove door, has vents for burning fire wood. 3 hours of work, my oil burning stove can be converted over to burning fire wood. 30 inch piece of fire wood is allot of wood to burn. That is why I chose 3 foot barrels.
You say your burn tube is 20 inches with the three inch pipe in the center. What is the distance from the center of that pipe to the front of the stove?
18 inchs, give or take some.
I like your stack and how it's cemented to the ground. I also live in a very high wind area. What is the thickness of the 8 inch pipe you used for your stack?
.075 inch thick. That pipe came from a grain auger. Its allot thicker than regular flue pipe that you can buy at the store.
I noticed you have no clean out for your top barrel, unless it's on the back. Are you still going to add one or do you think it's unnecessary?
I don't have a clean out and I probably wont add one. My stove burns clean enough that I can leave the door open (as you can see in my videos).
Last question, for now at least. On a low burn, approximately how much oil do you think you are burning per hour?
My stove can burn half a gallon to 2 gallons per hour. Burning half a gallon per hour takes some time to get the settings and the burner temperature right. You just cant make a adjustment and walk off and think it will burn right and clean. Dropping the burner temperature to fast will cause the burner to start smoking. Air and fuel ratio has to be right or the burner will shut off. This burner acts like a engine. The air and fuel ratio can be right, but if its not getting the right amount of fuel (volume of fuel so to speak), it will lose power and shut right down. I've had this happen twice and to this day, I don't know what I done wrong. Now, this is just a theory and I have no actual test finding , but here latley, I've been messing with the holding tank air pressure. I can adjust the holding tank air pressure and it will change the atomizing process. I generally use about 12 lbs of air pressure to pressurize the holding tank. This acts like a fuel pump. I've been noticing that when the holding tank get down to 1/2 tank. The pressure will drop blow 12 lbs of air pressure. I need at least 12 lbs of air pressure for the stove to stay running. Gravity alone will not feed the burner enough. So, what I did was turn the pressure up to 25 lbs on the gauge. And it will stay there. But it will burn more fuel doing at. So, I adjusted the amount of oil flowing into the burner by adjusting the hydraulic flow control valve to help compensate. But, I also put a baffle inside of the burner to help centralize the heat. But that did not work right. The flame inside the burner ran right up the fuel path and got my funnel red hot. But using the baffle gave me a idea. So, hopefully my new dam baffle that I built last night will work. I calling it a dam baffle cause it looks like a dam over a river. The baffle has to be tall enough that it clears the diesel during preheat and the baffle will not block the air volume (during preheat, you can not have allot of air pressure, you need controlled air volume, which aids in building heat for the burner) . But tall enough to centralize the heat in the burner. But, not tall enough to cause the flame to travel back up the fuel path to the down pipe cap. If the down pipe cap gets too hot, the oil line is about four inch's up inside the down pipe. The hot cap will "FRY or COOK" the oil in the oil line. Right now, I'm working on a process to centralize the heat in the center of the burner with the baffle. Once I'm 100% done with it. I'm done with the burner (no more modes). I think my problem with the air pressure dropping inside of the holding tank is do to air volume in the red air tank. What I will do is completely remove the red tank and run a air hose to my compressor. All I need from the compressor is 25 lbs. 25 lbs of air pressure on the oil inside of the holding tank will help the oil flow the same regardless of how much volume is inside the holding tank. Oil viscosity plays a roll in this. My way around oil viscosity changing while the stove heat up. Pressurize the oil holding tank and meter the oil flow with the hydraulic flow control valve. Needle valve will not work (already tried it). That's why I'm using a hydraulic flow control valve, there accurate in metering oil flow.
I know this is allot to take in, but all in all, I'm having fun making almost free heat. Plus, it give me something to do. 
When you build one, you will be blown always at how much heat motor oil will produce. Reading up on burning waste oil, I have read that burning 1 gallon of oil per hour will produce 140,000 btu's (@100% efficient). Having a heat exchanger will raise that number. The less heat that goes up the flue pipe, the more efficient the stove is.
I just recently got hold of 24 feet of the same 24 inch gas pipe that you used. I'm going to use 14 feet for a land roller and was wondering what to do with the rest. Well, now I know.
Cool...

When are you going to start building your stove?