Let me add that the system for providing cool air to both the cockpit and the radar, was fairly standard, but it was also quite robust because of the power contained in that radar. The F-14 radar had nearly 10 times the power output of the F/A-18 (before AESA)
Big transmitter = big cooling requirements.
Hidden between the intakes and the fuselage were a couple of small ram doors. These doors provided airflow over the heat exchangers when the aircraft was in the air. When the aircraft was on the ground, two small turbine fans drew air from below and forced it over the heat exchangers.
Compressed (and therefore hot) bleed air was taken from the engines and fed through the first heat exchanger to cool it. It then went through a turbine, in which it was compressed again, which means it got hotter (PV=nRT still applies) and that hot, compressed air went through a second heat exchanger, where it was cooled.
That cooled, compressed air was then routed back through the other side of the same turbine where it was expanded, and therefore cooled even more. Now you had cold air available and you could mix it with the original hot bleed air to get any temperature you wanted.
The expansion turbine was under the RIO’s seat on the right side of the airplane. I said the system is robust, it is, it has high capacity, but a “BLEED DUCT” light was a serious emergency in the airplane. It meant that there was an overheat somewhere in the system, usually by the expansion turbine. We lost a couple of airplanes to that expansion turbine running when a bleed leak was present and causing a fire in the avionics below the RIO.
So, “BLEED DUCT” warning light procedure was to close the bleed valves (AIR SOURCE - OFF in the manual) so that all hot air was isolated out of the system. That works to prevent a fire, but also shuts down all of the cooling I described above. You could get some ram air cooling - outside air forced into the cockpit - but it didn’t work well.
Those landings, and I had to do one, were pretty sweaty.