Humber, let's get beck to basics. After all these posts, you still haven't presented a clear argument (at least, not clear to us) as to why the treadmill-with-no-wind and road-with-wind ituations aren't the same.
Whaaat!.
Currently, you're enthusiastically advancing your boundary layer idea, which everyone but you percieves as clearly mistaken. The strange part is, even if you are right, the effects of this on the cart would be small enough not to invalidate the treadmill model.
Enthusiastically?
No, definitely not small. It is the one thing that cannot be dismissed by talk. It is concrete evidence, the tip of an underlying iceberg, Brian-M
I'd like to know exactly where our views differ, and how. In order to achieve this, I'm going to set up a hypothetical situation, and gradually alter it step by step, explaining the expected outcome as I go.
What I want you to do is point out exactly where you disagree with my expected outcome, and tell me what you think would happen in that instance, and why.
Okilly Dokilly
Stage 1: Run the cart in a wind-tunnel
You've already stated on several occasions that a wind-tunnel would be the same, so I expect you'll agree that the cart will behave the same in the wind-tunnel as it would on the road in the wind.
No. The belts used in real-wind windtunnels are
not roads.
Stage 2: Relocate wind-tunnel
I don't see that it matters how high or how low the wind tunnel is, or in which directon it is facing, as long as it remains level. In this case, I'd like put the wind-tunnel about 10 or 15 feet in the air, by strapping it to the top of a semi-trailer truck, with the end that holds the fan that blows the air directly above the driver's cabin
It's your money, Brian-M.
That may well be true, but no matter what, the belt in that tunnel is not a road. That is 100% of any difference you are likely to suggest.
The cart should perform exactly the same if the wind-tunnel is strapped to the top of a stationary truck.
Yes.
Stage 3: Drive the truck around
We drive the truck while running the cart in the wind tunnel. The truck has got really good suspension, so there's no vibration. It's on a perfectly level and straight highway with a computer-controlled cruise-control keeping the truck at a constant, unchanging velocity (ie. no acceleration or decelleration.)
Country music on the radio.
The cart should perform exactly the same while the truck is moving as when it's stationary, as long as there is no acceleration from the truck while the cart is being tested.
Yes, of course. This is a fruitless line of inquiry.
Stage 4: Syncronise velocities
If the air in the wind tunnel is blowing at 10mph. Just for fun, let's drive the truck at 10mph too. As the velocity of the truck isn't affecting the experiment, this shouldn't make any difference either.
Guaranteed outcome.
Stage 5: Open the wind-tunnel
Wait a sec... there's no wind today. So, if the truck is moving forward at 10mph and the fan in the truck is pushing the air backward at 10mph, then the air in the wind-tunnel is moving at the same speed as the air outside!
You have a real fan blowing real wind over the cart? Yes, the outside is irrelevant unless that 'leaks' into your enclosed environment. OK, now there is no wind outside.
So let's get rid of that fan, and open up the front and back of the wind-tunnel to the outside air.
....towards the inevitable conclusion.
As far as the cart is concerned, nothing has changed from stage 4. The truck is moving at the same speed as it was before, and the air is still blowing through the wind-tunnel at 10mph.
Yes. The relative velocities are the same as (4) but little else. The means by which the wind is generated and delivered to the cart are quite different.
Also, the belt is not a road !
Stage 6: Comparison
The cart is now on a moving surface in still air, just like the treadmill.
The situation it is now in is identical to having it on the treadmill.
The cart on the treadmill should perform the same as the cart in the open-ended wind-tunnel, which in turn performed the same as as the cart in the close-ended wind tunnel, which in turn performed the same as the cart on the ground in a "real" wind.
There is no difference.
No.
The assumption that a belt is a road, is entirely false. It can never be a road under any circumstances. For all the vehicles that you have ever seen on a belt, the behavior is not like that of a vehicle on the road.
Why? Nature does not allow motion on the spot.
Stage 7: Humber replies
This is the point where you, Humber, tell me at exactly which stage you think I went wrong, and give me a clear, detailed explaination as to why.
I have been trying to tell you, Brain-M, that the initial error does not lay in the treadmill, though that is riddled with them. It is a conceptual error.
Grab a chair. My initial remark is "How can you possibly believe that a belt under a wheel implies motion?"
Take the BMW/F1 case. Divide the belt into three, so that there is a wide bit under the floor pan, with two strips driving the wheels. Start only the middle bit so that it goes backwards as usual.
What does the middle bit do? It is a pattern generator. The surface is embossed to match that of the real road's surface. Moving that pattern,
makes the boundary layer. You can liken it to an old weaving loom. The punched cards are the pattern, and the cloth the product. Same thing.
So you see, that this is not related to motion of the wheels or vehicle.
It is information
about the road's surface, transferred to the local air, but it is not the road itself. Do you think information can make a car move?
If you remove the car it may well be much the same. Just a belt annoying the local air.
You could also remove the belt motion. Replace the wide belt with a panel, containing a matrix of nozzles. Attach that array to a source of air and a controlling computer. Take an FI car, and drive it around a full lap of a real circuit, while recording the road's surface. Process that recording so that the controlling computer drives those nozzles in the appropriate manner. The boundary layer will be generated in real-time for the entire track, and not just at the repetition rate of the belt. Moving now?
The wheels are the same. Turn them to mimic their behavior at that speed, but there is no causation to actual motion.
The reason that the belt drives the wheels and makes the boundary layer is that is a simple and effective solution to both those problems. Engineers are like that, but they tend not to accept travel at F1 speeds while standing around drinking coffee while they watch the car.
All other belts are similar. They mimic something else. A dyno mimics the expected load encountered at velocity, but not velocity itself. That is impossible. Models are not real in that sense.
One error is to take equivalency, and use it backwards. The real car has X joules at velocity V, so the belt (or nearest handy object) must "have" that KE. Cause generally precedes effect.
All the other stuff is around this fundamental error.