CE750 CREW RPTS A FLAT TIRE AND BRAKE FIRE JUST BEFORE TKOF.

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STARTED THE ACFT AND NOTICED AMBER CTR XFER TRANSIT R CASS MESSAGE. CYCLED THE SWITCH TO ON; THEN BACK OFF; THEN BACK TO NORM. MESSAGE CAME BACK. PULLED THE CHKLIST AND COMPLIED WITH THE PROCS STATED. CHKLIST INDICATED AFFECTED CTR TANK XFER VALVE WAS NEITHER OPEN OR CLOSED. FUEL XFER TO AFFECTED WING MAY BE REDUCED. WE DECIDED TO SHUT THE ACFT DOWN AND RESTART IT TO ATTEMPT TO CLEAR THE PROB. WHICH DID NOT FIX THE PROB? WE MOVED THE ACFT OFF THE NEW PAVEMENT AND SET THE PARKING BRAKE OFF SOME MORE FUEL. WE DISCUSSED TAXIING TO BURN OFF THE FUEL. PF CALLED TECHNICIAN ON CALL BACK. PF AND TECHNICIAN ON CALL DISCUSSED HAVING THE JET CTR DE-FUEL THE ACFT AND DECIDED THAT IT WOULD TAKE LONGER THAN JUST BURNING THE FUEL WITH THE ENGS RUNNING AND TAXIING. PF TOLD TECHNICIAN ON CALL THAT WE WOULD TAXI TO THE END OF THE RWY AND BURN OFF ANOTHER 350 LBS SO WE WOULD BE BELOW 300 LBS IN THE CTR TANK AND THEN WE COULD DEFER AND BE ON OUR WAY. PF AND PNF DISCUSSED TAXIING WITH A LITTLE EXTRA PWR TO BURN THE FUEL DOWN FASTER AND USING SOME EXTRA BRAKING. PNF CALLED OPS AND ADVISED THAT WE NEED APPROX 20 MINS TO BURN FUEL FROM THE CTR TANK AND DEFER THE MAINT ITEM AND THAT WE WOULD ARRIVE ABOUT 15 MINS BEFORE OUR SCHEDULED DEP. WE BEGAN TO TAXI VIA TXWY T AND TXWY E TO RWY 16. WE SET THE PARKING IN RWY 16 RUN UP AREA AND BURNT DOWN TO ABOUT 450 LBS AND DECIDED THAT BY THE TIME WE GOT OUR CLRNC AND TAXIED ONTO THE RWY WE WOULD BE AT 300 LBS. RELEASED THE PARKING BRAKE AND BEGAN TO TAXI TOWARDS RWY 16. WE BOTH FELT THE ACFT WAS TILTED AND COULD FEEL WHAT WE THOUGHT WAS A FLAT FIRE. WE STOPPED THE ACFT AND PNF GOT OUT; TO CHK THE TIRE. WHEN I GOT OUT I OBSERVED BOTH THE R MAIN TIRES WERE FLAT AND THE BRAKES WERE SMOKING. I ADVISED PF AND HE BEGAN SHUTTING DOWN THE ENGS AND CALLED THE TECHNICIAN ON CALL AND DISPATCH. WHEN PNF WALKED BACK OUT OF THE ACFT FLAMES BEGAN COMING FROM THE BRAKES. PNF ADVISED PF AND GRABBED THE FIRE EXTINGUISHER FROM THE FORWARD CLOSET AND SPRAYED THE FLAMES. THE FIRE WENT OUT FOR ABOUT 30 SECONDS AND FLARED UP AGAIN. PF GOT THE SECOND FIRE EXTINGUISHER FROM UNDER THE COPLT'S SEAT AND GAVE IT TO PNF. THEN PF CALLED NORCAL ON THE RADIO TO HAVE THEM SEND A FIRE TRUCK. PF SPRAYED THE SECOND FIRE EXTINGUISHER ON THE FLAMES AND AGAIN THE FIRE WENT OUT FOR ABOUT 20 SECONDS AND FLARED BACK UP. PNF THEN CALLED 911 AND GOT A HOLD OF THE CHP AND ADVISED THEM WE WERE AT MCC ARPT AT THE END OF RWY 16 AND HAD AN AIRPLANE THAT WAS ON FIRE. PNF THEN POURED THE WATER TANK AND COFFEE POT ON THE FIRE AND WHILE PF SHUT DOWN THE ACFT AND POURED SEVERAL BOTTLES OF WATER ON THE FLAMES. AFTER RUNNING OUT OF LIQUID WE MOVED AWAY FROM THE ACFT; WHICH CONTINUED TO BURN FROM THE R BRAKES. THE FIRST FIRE TRUCKS ARRIVED AND EXTINGUISHED THE FIRE WITH THEIR FIRE EXTINGUISHER. THE FLAMES AGAIN WENT OUT. THE FIRE FLAMED UP AGAIN AND AT THIS POINT THE FIRE TRUCK SPRAYED THE BRAKES AND WHEEL WELL FOR 10-15 MINS WITH FOAM; EXTINGUISHING THE FIRE. WE WERE ADVISED THERE WAS A SKID MARK ABOUT 1/2 MI LONG WHERE WE HAD TAXIED. I DECIDED TO TAXI WITH A TOUCH HIGHER THROTTLE SETTING; WITH SLIGHTLY MORE THAN IDLE PWR TO QUICKEN THE FUEL BURN. AT NO TIME DID I BELIEVE THAT I WAS USING EXCESS PWR OR EXCESS BRAKING TO MAKE ME THINK THAT IT WOULD CAUSE A PROB. WE ALSO TAXIED FOR APPROX 7000 FT BEFORE WE NOTICED A SKID MARK THAT LASTED FOR APPROX 1 1/2 MI. I HAVE ACTUALLY USED THIS PROC BEFORE TO BURN EXCESS FUEL FOR AM IMBAL. I NEVER EXPERIENCED A BLOWN TIRE OR FIRE FOR THAT MATTER. I HAVE OVER 1600 HRS IN THIS MODEL OF ACFT. I HAVE TAXIED FOR LONG PERIODS OF TIME AND LANDED ON RELATIVELY SHORT RWYS WHERE MORE THAN NORMAL BRAKING WAS NEEDED. I NEVER EXPERIENCED ANY NOTICEABLE OVERHEATING. TODAY I NEVER FELT EXCESSIVE PULLING THAT WOULD MAKE ME THINK I WAS BRAKING TOO MUCH. I FEEL THAT LACK OF COM INTERNALLY WAS A HUGE FACTOR TO THIS. WE ARE ALWAYS ENCOURAGED TO DO WHAT NEEDS TO BE DONE TO MAKE THE TRIP. I FELT THAT I DID WHAT I NEEDED TO DO WHEN I WAS UNABLE TO CONTACT ANYBODY IN THE COMPANY. I HAVE DISCUSSED THIS IN DEPTH WITH THE DIRECTOR OF OPS AND CHIEF PLT. WE ARE WORKING TO RESOLVE THE ISSUE INTERNALLY. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: NO NEW INFO COULD BE PROVIDED BY THE RPTR ON CALLBACK. FIREFIGHTING SVCS WERE PROVIDED BY A MIL FACILITY AT THE ARPT; OTHERWISE IT WOULD HAVE BEEN A WHILE BEFORE A FIRE CREW ARRIVED.