Consider a car with a conventional cooling system. There is no thermostat. There is an electric water pump that circulates the coolant at a constant rate. There is an electric fan on the radiator. The fan has a PWM controller that starts the fan at 50% speed at coolant temperature T1 and ramps the speed to 100% at temperature T2. Recognizing that there are many variables (ambient air temp, coolant flow rate, etc), can we make any statement about what the response of this system will be? That is, will the coolant temperature stabilize at some temperature (perhaps between T1 and T2?), or will it constantly vary (if so in what fashion)?
This is a real world puzzle; the controller manual is available at painlesswiring.com/Manuals/30141.pdf
The maker apparently thinks it will work, but doesn't mention any limitations or expected operation.
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