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Joe, Chris, and Charlie were back again at LDRS this year with the Talon 12, this time on a P motor. (Their novel of a build thread is here on TRF. It’s required reading.) The basic design of the motor is the same one that I worked up for our two stager at USC, and flown again (with different propellant) in the Turbo Encabulator and Del Grande. For effect, we switched back to the purple flame propellant in the Talon, and it looked great under power, as seen in this photo by Ray LaPanse:

Unfortunately, though motor operation was nominal, the rocket shredded just at the end of the burn (as has happened once before with this motor, in another rocket). Full details on the propellant and configuration (and a flight video) are below.
This is mostly from the document submitted to the TRA Class 3 committee, as submitted, with a few tweaks for web posting.
The propellant is an AP/HTPB-based system, with 82% solids loading, 6% metals, and a pinch of CuO catalyst. The two flights in Figure 1 are uncatalyzed, however motor performance was nearly identical to that of the catalyzed mixture on the first flight, and purple flames are cool.
The motor physical design consists of six grains. The nozzle throat diameter is 1.600”, with an expansion ratio ε of 4.75. This gives a port-to-throat area ratio H of 1.56, giving an aft-to-head pressure ratio Φ = 0.917, which implies a nozzle entrance Mach number of 0.416. This low Mach number, combined with a low startup mass flux of 1.86 lbm-in-2-sec−1, implies very little erosive behavior at motor startup.
Internal ballistics analysis was performed using a lumped-parameter method, which is reasonably accurate on small motors such as this. The results of this simulation are shown in Figure 2. Isp was calculated assuming constant C∗ with ηC∗ = 1 and no nozzle cosine losses (all optimistic assumptions), and a constant external pressure of 13.24 psi, as is standard at the Lucerne Dry Lake flying site.

Here’s video of the liftoff and subsequent shred, taken by Dave Griffith:
do they owe you a can of coke?
LOL – nah, it wasn’t minimum diameter
Thanks for putting this up, David. I like the analysis on the axial pressure gradient and nozzle entrance mach number, cool way of attempting to quantify or estimate erosion.
Yea, I like that method a lot. (Ties in nicely with this, too.) Hat tip to Justin Slaby and his erosive burning project on that one.