paul fellows wrote:I'm afraid I'm not seeing three reversals (positive to negative and back) which of the of the four graphs should I be concentrating on. :(
All the views are important and interesting in some way. To me, the Mass Flow graph (lower right} always looks like an exaggeration of the Mach No. graph (upper right) because they are functionally related by working density into the mix. The interesting thing about these graphs is that you can clearly see the "velocity node" -- the point where nothing moves. In the fast-moving animation, it looks like a "fulcrum" around which these graphs see-saw up and down. Note that this point lies on the widest diameter of the chamber. It is exactly the point where the two quarter-wave sections butt together, as if there were a solid wall there. Ha.
Looking across at the pressure graph (upper left) you can see that this very same point is covered by the large regions of high and low pressure during the cycle. The "velocity node" is also the "pressure antinode" -- the point where the pressure swings are maximum. However, in the Lady Anne (as in every well-developed pulsejet design), the maximum pressure swings, both high and low, are widely spread through the engine interior. This is evidence of (at least potentially) high power development for the engine's size (volume). If you look carefully during the slow motion part of the animation, you will see the pressure wave from the initial explosion divide and move outward until it disappears near the intake and exhaust pipe apertures (it is impossible for the wave to stay high as it nears the open ends, which always have a pressure near atmospheric). Then you will see the depression coming back toward the center. This is the Kadenacy effect in action -- as this low trough moves inward, reversal of flow begins in earnest (glance at the Mass Flow curve at the same instant). When the pressure is lowest throughout the middle of the engine, inflow is about maximum from both ends. This low trough now spreads out toward the ends, and ultimately the pressure curve swings high again, from the ends inward toward the center. Once the pressurization of the center zone is maximized, the new explosion takes place, and the cycle is re-born.
Looking at the density graph (lower left) clearly shows what is hot and what is cool. Basically, high density = cool air from the outside, low density = hot air (and exhaust gas) developed inside. Breathing of the intake end and formation and ejection of the tailpipe "piston" can be clearly seen.
An interesting detail of the pressure graph is the very brief but very deep downward spike that develops near the rear of the intake pipe during the early breathing phase of the cycle. This intense low pressure hiccup coincides nicely with very rapid inflow of air in that part of the intake. The exact location and intensity will vary from one design to another, but it pays to know where this is located if you're interested in low-pressure vapor or liquid fueling. It is what I have called the "carburetion point" of the engine. It is the "sweet spot" to pour in fuel if you're not wanting to use a highly pressurized fuel system.
L Cottrill