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Using dry ice in the air cleaner can or airbox of sportsman drag racers is a common practice. Cold air is dense and requires less time to get more into the engine and creates more power.
I would imagine that aero effeciency, intake pressure, intake and intake turbulence all are critical to the designer. The airbox must draw in air without increasing drag and reducing rear downforce. It must maintain proper air feed to the engine from 30 mph to 215 mph. I would imagine that the shape and size of the opening and the shape of the airbox is one of the most explored sections of the monocoque. I would also hazard to guess that the airbox design also works as a pressure drop just after the opening to draw in more air and cool it to produce more power as well.
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