Cooler air is more dense. Denser air has more stored energy. The more air you can feed into the system, the more power you can extract from it. Therefore, the cooler the air coming into the system, the more power you can produce.
This means that if you handicap yourself in the very beginning by sucking in hot air, and then cooling it with meth, you are hurting throttle response if you are making up for the initial loss of power. If you're not hurting throttle response, then you're losing power. Point being, you're losing something by being less efficient.
I agree 100%. It is definitely better to suck in cooler vs. warmer air. No one is going to disagree with that. Water is still wet. In the real world though how much does that matter in this instance? You are talking theory/science vs. what does it matter in the real world.
A few accurate thermocouples logging at 30, 60, and 90 mph will tell us all a lot about the air the hot site intakes are taking in vs stock location.
Again, the whole reason I made my 1st post, which I was called out for trolling, was talking about in the real world where do you want to spend your time and money. Are there real world gains to be had from this? I have yet to see any data that shows stock location inlets perform better than hotside because of the air they ingest. If anything hotside have less of a pressure delta between them vs. stock location so the turbos should work more evenly. Did I miss something that hotsides are worse because of the air they ingest?
Edit: Just to be clear meth is inexpensive. $50 for 5 gallons. That's 10 gallons give or take when mixed with water. $5 a gallon and you only spray when under boost when you choose it to(psi). It lasts me long enough I have never once considered the cost of it.
Edit #2: I'm not saying don't do this. I guess my point is don't try and fix something if you can't prove it is broken. Doing something 'in theory' is not always the best thing to do. I do look forward to the interesting ways you try and get ambient air to the hotside inlets. If you can make it looks clean for small money great. Even better if it actually has improvements which can be seen in the real world, ETs, MPH, etc.