If no heat exchange is required then the motor can be stopped altogether.
You seem to be trying to get heat exchange through one opening.
This is not the case for intensive heat exchange or rapid pressure change, though.
They have improved on nature in the business of heat exchange.
The process, called respiratory heat exchange, works best when the walls of the nasal passage have a large surface area.
It corresponds to an adiabatic process with no heat exchange.
However, more recent work have found many problems with this theory including the lack of anatomical structures for the actual heat exchange.
Research has shown that one function is as a surface area for heat exchange.
Forced convection is typically used to increase the rate of heat exchange.
Theoretically a similar system could exist or be constructed for heat exchange.