This looks somewhat like a derivation of the DC motor equations and if the flux is reduced to zero, then the motor will certainly accelerate to destruction!!
kien123,
If you'd like to find out more about what happens to a DC motor when field is removed and armature circuit is powered, take a look at thread181-27567 .
Flux is dictated by load (which then dictates the gating angle in DC drives). When there is no magnetic flux per pole, the counter EMF in the armature is basically very small thus the armature windings pass the conutors from the line (the brushes) more and more quickly. This continues to perpetuate itself in smaller and smaller integrals causing the counter EMF value to become correspondingly smaller as well. As the angular velocity increases to accelerate the next armature winding into the area where it will conduct, this winding experiences less and less time drawing current due to its velocity...hence the problem continues since the counter EMF is not regulated by the field.
This is illustrated by considering your equation from a Tm standpoint as the following equation still applies:
HP = (Torque * Speed)/5252
In this scenario, the torque (which is directly proportional to the current draw, and thus phi) will continue to decrease as the speed increases. Eventually, you find a point where the mechanical stresses will cause the motor to fail.
The answer to your question is this: with no flux regulation to produce counter EMF the DC motor will continue to accelerate due to the fact that its polarity per pole/revolution is going to be only by a rapidly diminishing magnetic field that is induced on the coil as it passes the brushes.
Does that answer your question? Were you looking for a more mathematical explanation?