Citationjet (C525/C526) - CJ I / II / III / IV
Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 50; Flight Crew Total 7558; Flight Crew Type 1586
Fatigue; Training / Qualification
Aircraft Equipment Problem Critical; Deviation / Discrepancy - Procedural Weight And Balance; Deviation / Discrepancy - Procedural Published Material / Policy; Ground Event / Encounter Other / Unknown
Aircraft Aircraft Damaged; General Evacuated
Human Factors; Aircraft
[The] air conditioner seemed to be not working but [the] compressor kicks in momentarily. [While] in flight; [the] air conditioner starts working. I calculated on how much fuel we'll buy at ZZZZ. [At] ZZZZ; [the] air conditioner was still working upon arrival. I ordered to fuel 600 liters - however; [the FBO] tried to put 600 gallons resulting [in a] top off. They refused to de-fuel [and] passengers were already at the terminal. I made [the] decision to burn some fuel at the Ramp with passengers on board.[As we were] departing ZZZZ; we loaded passengers and started engines. The air conditioner started [to] not work. Also; [the] intercom became inoperative and [the] cabin was getting really hot. We had already burned most of [the] excess fuel; so [I] figured [to] burn some on taxing and [a] little more at the end of [the] taxiway. I occasionally put [a] little more power and brakes to burn more fuel [and] occasionally released to cool the brakes. Apparently that effort wasn't enough; [as it] caused excessive heat and fire on the wheels.We started feeling bumps which I thought was [due to] flat tires. [I] stopped the aircraft and asked Tower if they could see [whether] the main tires were still inflated. Tower said [they] looked just fine. [I] tried to start [the] taxi again [and] figured it may have been bumps on the taxiway. Then; the First Officer saw fire from [the] right main tires. I called Tower for assistance and evacuated passengers.No one was hurt. The aircraft sustained major damage on the main gear and wheels. [The chain of events started with the] air conditioner issue; misunderstanding of gallons and liters at the FBO; not watching [the] fueling; misjudging about brake heating; fatigue from waking up [early] and days of moving in the summer. [Correct actions would be to] watch fueling every time; not be in a hurry and deal with the situations one by one. [I] should have de-boarded [the] passengers and went to the run-up area and burned fuel.
CE525B Captain reported improper procedure resulting in brake overheating and main tire fire.