I was coming up A315 once with a Lear at 390, just past Port-A-Prince, when we came upon a big TRW. I decided to go ahead and top it so I got clearance to 430. At about 415, bump, goes the engine, so down we go into the TRW. I had a new FO and his eyes were big as saucers. I told him to get clearance for us immediatly to 240, Port-A-Prince couldn't understand why we had to go down(I didn't want to declare an emergency as we were having a lot of engine problems at the company at the time)Finally he gave out clearance to 240. It was at night so I just steered away from the flashes as we went into the TRW, of course in that situation radar was useless.We came out of the overhang at about 280 in the clear. At 240 we relit and then requested climb up to 390, Port-A-Prince said no, you are fine at 240. So we maintained 240 until we got with Miami then climbed. The problem was that we consequently ran low on fuel and had to land at MYNN for fuel. The passenger, patient, and crew in back at no time knew that we had a flameout.
If you are having problems with flameout check the IGV and make sure all the linkage is working properly. All CJ-610's should be able to go to 450 no problem if everything is adjusted right. Some times the linkage is so worn that it just needs to be replaced.