I'm not much on dc motors, but I think I can start to answer your questions. Reliance motor has some good theory on their web page.
My first question is what will happen to arm.current at the same load go up or down and why?
The equation for predicting effects on armature current is
Ia=(Vt-Eg)/Ra = (Vt-NKPhi)/Ra
where
Ia = armature current
Vt = Terminal voltage
Eg = generated voltage = NKPhi
N = speed
K= constant
Phi = flux.
Perhaps it depends what you mean by constant load.
If speed is kept constant (in spite of change in motor torque-speed characteristic with increasing field current), then the equation predicts that armature current will go down.
If horsepower is kept constant... let me think about that one (anyone else have answer?)
My 2nd question is where can I get some mathematical formulae on dcmotors because I measured the field resistance before installation and got 26ohms on the field.Using ohms law does not apply 300v/26ohms does not equal 8.9amps as rated on nameplate.
If you have measured the resistance at room temperature, then that is probably the cause of the difference.
Copper resistance increases approx 0.4% per increases in temperature in degrees C. If you increase the temp on the order of 60C, you get approx 23% increase in resistance, which I believe would account for the difference.