Ok. I'm putting this pump heat issue to bed.
I dug around on the net and found a few definitions and equations.
1.1.2 Definition of a centrifugal pump:
A centrifugal pump is a kinetic machine converting mechanical energy into hydraulic energy through centrifugal activity.
1.2.3.8 Total head (H):
This is the measure of energy increase per unit weight of the liquid, imparted to the liquid by the pump, and is the difference between the total discharge head and the total suction head.
This is the head normally specified for pumping applications since the complete characteristics of a system determine the total head required.
1.2.1 Rate of flow (capacity):
The rate of flow of a pump is the total volume throughput per unit of time at suction conditions. It assumes no entrained gases at the stated operating conditions. The term "capacity" is also used.
If head is energy content, and flow is the rate of energy delivery, then power can be figured. The unit of power used pertaining to pumps is water horsepower.
1.2.6.3 Pump output power (P w )
The power imparted to the liquid by the pump. It is also called water horsepower.
(Metric) Pw = Q*H*s/366
(US units) Pw = Q*H*s/3960
Where:
Q = rate of flow, m3 /h (gpm)
H = total head (per stage), meters (feet)
s = specific gravity of fluid
With a MAG 3 and a cascade, the the two respective P/Q graphs cross at 6lpm(.36m3 /h) and 2.5m of head.
.36*2.5*1/366 = .00245 water horsepower.
1 water horsepower = 746.043 watts
.00245*746.34 = 1.827 watts of energy added to the water.
I have no idea where the T1 crosses the Cascades P/Q graph (I'd figure and plot it, but this little project has already consumed to much mental energy), so i'll figure wattage at five foot interavals to 25ft of head. I'm omminting my work since it's the same as that for the MAG 3
5' of H: water HP - .0107, watts - 8.006
10' of H: water HP - .0210, watts - 15.693
15' of H: water HP - .0276, watts - 20.629
25' of H: water HP - .0252, watts - 18.839
There, since the MAG3 and T1 are both self lubricated by the pumped fluid (making construction a moot point), I have just mathematicaly proven the T1 WILL add substantialy more heat to the water.
Source of P/Q graphs.
Source of pump equations and definitions.
Source of unit conversions.