It would depend on how Carrier programmed the motor.Genteq delivers the basic motor to the OEM and they program the system to produce the fan curve response they want.
If the motor is truly constant torque it will do exactly what I said.
The fan is a constant volume macnine at a given static pressure and temp and the cfm varies directly with rpm
1. CFM varies as RPM
2. SP varies as (RPM)2
3. BHP varies as (RPM)3
4. HP = (torque X RPM) / 5252
5. torque = (HP * 5252) / RPM
A good discussion on the fan laws is found here:
http://www.nyb.com/Catalog/Letters/EL-02.pdf
If static pressure goes up then yes the density increases and vice versa.
If the temp goes down then the density increases.
If we consider that the static pressure were remain relatively constant then the power or torque to move colder air (denser) will increase.
Constant torque would mean that the CFM would decrease, but the mass of air moved would remain the same.
If the static pressure increased then the density of the air would also increase and while the CFM would decrease, but since the exhausted air will be denser the mass would also be the same.
Since we are talking constant torque to maintain that constant torque the RPM must increase if the density or static pressure decreases. If the RPM increases and the torque remains constant the horsepower will increase by the same amount and the CFM will increase due to that higher RPM, but the total mass of the air moved will remain the same.
If the constant torque motor actually provides constant torque or not I can't say, but the fan laws should still be correct.