Answer
Does a supercritical wing, because of its different design and airflow, cause delayed onset of compressibility and therefore allow for a higher critical mach and reduced mach tuck versus a conventional airfoil?
Landman, to answer your initial question in two words, basically yes.
There are several things of interest with supercritical airfoils:
1) Every airfoil has a critical mach number, the speed the airplane has to be going in order for the local flow (on just one area of the airfoil) to exceed the speed of sound. A shockwave forms & a bubble like region of supersonic flow forms on top of the wing. The faster you go the bigger the bubble gets until it eventually covers the whole surface of the wing from front to back. In terms of the intial forming of the shockwave it is desirable to have this occur as far back on the wing as possible. The airflow tends to follow the shockwave & separate from the wing surface. So when this happens near the leading edge only the front part of the wing is creating lift. The rest just goes along for the ride, & generally creates drag.
2) Supercritcal shapes facilitate the formation of the shockwave much further aft from the leading edge than more conventional shapes. The laminar flow reduces drag & results in better fuel economy - extremely important for airlines.
3) On big airliners the thick profile doesn't hurt the way it would on a high speed fighter. It provides internal volume to store all that fuel they need, & is structurally more efficient than a thinner wing would be, basically a strong, stiff wing built from relatively less metal.
4) So in terms of "delaying the onset of compressibility" there is a delay in where it occurs (further back on the wing), but doesn't so much change the speed you have to be going when a shockwave forms. All supercritical shapes are optimized for this to happen at high subsonic speeds (allows airliners to travel farther, faster, without the drag & fuel economy penalties of flying supersonically).
5) When the airplane does fly fast enough for a shockwave to form (and the flow to separate), it causes an abrupt shift in the location of the center of lift. This changes the moment arm (leverage) relative to the center of gravity, causing the aircraft to pitch (mach tuck). The severity of the tuck depends on the distribution of weight throughout the aircraft, & the compensating control forces that come from moving the elevators and or stabilators. Thus the shape of the airfoil isn't really designed to "reduce mach tuck"; that is more a function of the size of the horizontal tail control surfaces, the power of the control system, & the flight management computer. The supercrital shape
is somewhat designed to minimize adverse effects resulting from wing pitching moments, but priority is given as to how that affects drag (resulting from a tilted wing moving thru the air), rather than controling if, or how much, the whole airplane will tuck.
The P-38 was one of the first American warplanes to encounter "compressibilty". Being a heavy aircraft, and aerodynamically clean, it really built up speed in a dive. It had a conventional teardrop shaped airfoil not particularly optimized for laminar airflow. Thus when speed built up in a dive, the airflow over the more curvy parts of the wing accelerated to supersonic speeds, a shockwave formed, the aircraft tucked under, & continued to accelerate - Bad news! By the way, there is also a lot of buffeting going on both from disturbed airflow over the tail, & as different regions of the wing go supersonic, & shockwaves form & move around. Anyhow, the disturbed airflow over the tail, & altered leverage due to the shift in the areodynamic center combined, & basically the tail was no longer effective enough to pull the airplane of the dive. The solution was to install dive brakes, rectangular plates that extended downward from the underside of the wing (like a backwards checkmark). They acted like spoilers to slow the airplane, & affected the overall airflow around the wing in a way which facilitated pitching the nose up again, & recovering from the dive. Thus they were called "dive recovery flaps" instead of the more familiar "dive brakes" (which merely stabilized an aircraft in a dive (dive bombers) & kept them at a reasonable speed to reduce stress on plane & pilot when pulling out - it was still pretty severe though).
Cheers,
Grafmann