Tom’s Vashon Rocketry Site
Below are all the parts of the Vargúlf model. At the top of the picture is the 1-mil Mylar parachute. Below that is the V-2 motor (note the adapter ring at its base attached with clear tape) and the parachute ejection spring mechanism. Next is the Vargúlf lower and upper body sections (the middle and top compartments come apart below the small vent holes in the payload section). The Perfectflite altimeter is seen below the payload section. At the bottom of the picture is the solid propellant power insert with its balsa bulkhead. (Click the image for a larger picture.) Below is the Vargúlf ready to fly in solid propellant mode. And below we see the Vargúlf transformed into cold propellant flight mode. The Vargúlf was flown at the June and July 2007 launches of the Zia Spacemodelers rocket club. The June flight was made using R-152a airbrush propellant and the altimeter reported an altitude of 365 feet. Temperature was 87.8°F, the barometer read 24.44 inches of Hg, and wind speed was about 6 mph. The model initially tipped downwind when it came off the rod, but had weathercocked back toward vertical before parachute deployment, which occurred shortly before the rocket reached apogee of its trajectory. Deployment was somewhere between 10 and 20 degrees from straight overhead. The July flights were to be on B6-4 and C6-7 solid propellant motors, but only one flight was made on a B6-4 because the model broke a fin upon landing. The altimeter reported 265 feet (temperature was 89.8°F, Barometer 24.63 in. of Hg, wind speed 3 mph at launch). The launch photos below are by Mark Hamilton and Tom Beach. Flight Analysis: When I analyzed the B6-4 flight data to obtain the drag coefficient (Cd) for the model, I found that the Cd result was VERY sensitive to the total impulse value I chose to use for the B6-4, so I really couldn't get a good Cd value (and I really wanted more solid propellant flights to get a more accurate Cd value anyway). But, the results of the B6-4 flight suggested that the total impulse value I could derive from the earlier cold propellant flight would be insensitive to the Cd value I used. This turned out to be the case. When I plugged a variety of Cd values into my OSX Altitude program (which is based on the Malewicki equations) I found that any Cd in the range of 0.75 to 0.50 resulted in a total impulse between 8.54 and 8.34 N-sec for the V-2 motor using R-152a propellant. That's a pretty narrow range, so I was happy. I was concerned that there might be an error in the analysis due to the fact that ejection had happened before the model reached the apogee of the trajectory, so I also did a more complicated analysis using RockSim (allowing RockSim to calculate a variable Cd from the design as it normally does). I had RockSim calculate the altitude vs. time plot for the model using various total impulse values for the coldpower motor, and then I fit these plots to the altimeter data (for the times before parachute deployment). See the plot below. A total impulse of 8.1 N-sec is cleary too low, but the results for 8.3 and 8.5 N-sec seem to bracket the correct value; a total impulse of 8.4 N-sec looks good, which agrees nicely with the Malewicki-based calculations. (The reason the Malewicki-based calculations agree so well with RockSim even though deployment was short of the trajectory apogee is probably because the altimeter's reported altitude of 365 feet was due to the small peak in the data that occurred at deployment.) Because the flight was not perfectly vertical, the actual total impulse of the V-2 motor should be somewhat higher than 8.4 N-sec, which agrees nicely with the 9.0 N-sec total impulse I got from thrust stand tests. Page last updated July 20, 2007 |