What was found
ON TAKEOFF, THE ACFT GOT A RT BLEED OVER HEAT CAS MESSAGE AND IT WAS FOLLOWED BY A RT ENGINE FIRE MASTER CAUTION. THE FLIGHT CREW RETURNED THE RT THROTTLE TO FLIGHT IDLE AND WITHIN A FEW SECONDS BOTH MESSAGES CLEARED AND THE FLIGHT WAS RESUMED WITHOUT ANY FURTHER ISSUES. WHEN THE ACFT ARRIVED AT HOME BASE, FOUND THE RT FIREWALL BOOT AT THE HP BLEED WERE IT PASSES THROUGH THE SERVICE ISLAND HAD AIR BYPASSING. THERE WAS NO DISCOLORATION OR DISTORTION TO ANY DUCTING OR ACFT STRUCTURE NOTED UPON VISUAL INSPECTION.