It remains you making a supposition and applying common knowledge from your field, but with the caveat that high flying supercruising fighters are not the topic of those documents.
There is no reason that somehow supercruising fighters aren’t held to the same principles. Principles of supersonic flow don’t change between aircraft and aircraft. Frankly, it is you who is trying to make a “supposition” that supercruising fighters don't have to follow these inlet principles.
There are compression losses too and your article points precisely to that and to the need of a variable intake for maximum performance.
As to the limiting factor, again, with the same specific thrust, the higher mass flow provides more thrust. You say the Su-57 intake is designed not for max cruising but for other undefined requirements, but still this is not so easy to determine and besides the PAK-FA does have additional intakes for low speed and/or high AoA operation. In any case, it is clear that the engine of the Su-57 has much more air available than that of the F-22.
Again, specific thrust is not some static value, it varies across the flight envelope. It's not as simple as designing around higher mass flow; mass flow will be driven by what the engine needs and can accept, not the other way around. Inlet capture area is just one area that goes into the inlet design, and I never said that it isn't designed for supercruise. I'm skeptical that capture area is necessarily driven by maximum Mach at military power. For instance, the F-22's aerodynamics and inlet likely have a design point of Mach 1.5 for supercruise, even though it can reach about Mach 1.8 in military power; a variable geometry inlet has some more flexibility around its design point, but even this inlet is an external compression inlet where the ramp varies the throat area (contrast this to the F-15 or SR-71 inlet that can vary both the capture area and throat area).
This table from Leland Nicolai's aircraft design book, page 410, for turbine engine inlet sizing shows the airflow and capture area demand of the F-15's F100-PW-100 engine at different points in the envelope. Here, A_inf_E (the fourth column) represents the demand capture area, while A_C (the fifth column) is the actual capture area.
| | engine and secondary airflow | A_inf_E | A_inf_E/A_C |
Mach | Altitude | (lbm/s) | (ft2) | |
0.25 | 2,000 | 205 | 10.9 | 1.76 |
0.5 | 4,000 | 220 | 5.9 | 0.95 |
0.75 | 5,000 | 245 | 4.53 | 0.73 |
1.0 | 30,000 | 130 | 4.56 | 0.74 |
1.2 | 30,000 | 154 | 4.53 | 0.734 |
1.4 | 30,000 | 183 | 4.62 | 0.749 |
1.6 | 30,000 | 217 | 4.76 | 0.77 |
1.8 | 30,000 | 257 | 5.01 | 0.81 |
2.0 | 30,000 | 300 | 5.26 | 0.853 |
2.3 | 30,000 | 388 | 5.92 | 0.96 |
Here you can see that despite the variable in airflow, the demand capture area is the largest at low speed. The demand capture area in supersonic flight wouldn't overtake the low speed demand until well past Mach 2, which is beyond supercruising at this point. Furthermore, as you increase airspeed, engine required airflow increases, but as you increase altitude, the engine's required airflow decreases. For instance, at 45,000 ft, with the F100-PW-100, the required airflow at around Mach 1.9 is only about 150 lbm/s (Nicolai, Figure 14.8g page 377).
A supercruising engine won't have the exact same curves, but will follow the same trends; they both turbine engines and optimizing for supercruise won't somehow make it follow different principles.
Correct me if I am wrong, but the speed adds ram compression quadratically and removes thrust roughly linearly (more with turbofans, much less with turbojets), but the altitude takes density away in an exponential manner and the intake losses apply on top of all that. Why are you sure that the first effect is dominant at a given flight condition? Density at 60 kft is roughly ten times less than at sea level, more than the effect of ram compression at M = 2. You seem to disregard supersonic maneouvering too, which is a requirement for a fighter aircraft and which will restrict the airflow to the intake. Again, a requirement mentioned in the article to accommodate for a wide range of flight regimes is a variable intake.
I don't think you quite understand compression. In incompressible fluids, dynamic pressure increases with the square of the velocity, but that is not how it works in compressible supersonic flow; you'll need to use oblique and normal shock tables/equations, and then isentropic equations in the subsonic section (for approximation). There's a reason that dynamic pressure calculations for anything higher than low subsonic take Mach number into account.
I made the point that the propulsive design of the Su-57 is more advanced and capable than that of the F-22 and you attacked it from the intake approach, but IMHO you still did not prove that the bigger intake in the Su-57 does not contribute and I therefore continue to dispute your position. I am just trying to bring a technical argument to its logical outcome.
In turn I find it strange that, in light of a bigger capture area, more effective variable intakes, a shorter diffuser without S duct, a similarly sized more modern engine with higher specific thrust and almost necessarily higher mass flow (18 vs ca. 16 tf max thrust), more fuel to burn at max mil, more lifting area, lift-generating trimming surfaces ideal for supersonic flight and more efficient nozzles, you dispute the fact that the Su-57 is indeed clearly ahead in propulsive design. Based on those elements, it is basically a fact.
For how emphatic you're making your arguments, your technical understanding is honestly quite questionable; what I see is you simply listing a litany of qualities to enthusiastically declare superiority without fully understanding true purpose and functionality, or any consideration of the system as a whole. You're disputing without an understanding of the technical arguments...
Frankly, you need to prove that larger inlet capture area automatically translates to superior supercruise; capture area is but one factor in supercruise performance. Larger capture area can provide greater airflow if the engine demands it, but it also increases weight and drag. You're using a larger capture area as proof of something that requires far more information. Advanced is also rather subjective here. If the propulsion system is mainly beneficial at conditions beyond the limits of the airplane from other factors (such as materials), can we really say it's more advanced? I'm not saying it's the right or wrong choice, but there are many tradeoffs and aspects to consider before declaring something as unconditionally superior. Not everything Sukhoi (or Lockheed, Northrop, any designer) does should be treated as infallible or beyond reproach.
I don't understand why you think I'm somehow attacking the Su-57's supercruise capability. It's clear that supercruise is one of the main design drivers of the aircraft. I wouldn't declare it as outright superior to all competitors in all parts of the envelope, and since you're demanding proof, you frankly haven't presented an argument with rigorous technical merit (it would be difficult to do so in any case because of lack of important data that would be necessary for calculations). For what it's worth, with the right engines I think the Su-57 can be excellent at supercruise, and likely has more range than the F-22.