Nice tractor for sure!
As far as I know, all styled B tractors came with shutters. Look through the grills up front to see if they are still there. The lever below the throttle operates them. Pushing that lever forward opens the shutters, pulled back closes them.
The thermo-syphon cooling system (no water pump or thermostat) works very well with a clean radiator in these old two cylinder B's. The very latest B's may have a water pump, or one added. I have not seen one yet, though. It is not unusual to run the engine for quite a while before seeing the temp gage go above 160 degrees. Especially when the air temp is low. It usually takes some hard work, meaning a heavy pull for some time, to raise the temp above 180. Plowing, disking, belt work, or PTO load will do it.
That appears to be a gas model (one fuel tank) rather than an all fuel model. The all fuel engine needs to be warmed up before switching it from gas to kerosene. The shutters in the closed position will help raise the temp. The fan will make a different sound in the closed position.
Something you might find in the operators manual is to never shut the engine off until the temp is below 190 or so. Let it run just above idle to let it cool then shut it down. Shutting it down while it is in the 200 or more range could result in a cracked head.
tommyhawk