A load is a resistance you put on a system. With mechanical systems, it usually refers to a force/torque imposed on the system (ex.: a water turbine on an engine crankshaft) and with electrical systems, it usually refers to a power imposed on the system (ex.: a heater on a generator).If I understand you correctly (english doesn't seem to be your mother tongue), you're talking about the force acting on the piston (the pressure inside the cylinder times the area of the cylinder) - what you call «the load» - versus the torque output - what you call «the engine is putting out». Of course there are losses in between, which are essentially going through friction and to power engine accessories, like the oil and water pumps. It is called «
mechanical efficiency». It seems to be what you call «operation[al] efficiency» in post #33:The friction losses are mostly independent of the cylinder pressure. So if the cylinder pressure (what you call the «load») decreases, the losses won't and therefore the mechanical efficiency will drop accordingly. As you stated, if the mechanical efficiency drops to zero (the pressure is just high enough to fight the friction losses), the engine stalls.
Thermal efficiency is basically the mechanical energy output based on the Pressure-Volume diagram (indicated power stated by
@Randy Beikmann and well illustrated in
@jim hardy 's
post #32) vs the energy that the fuel can produce by heat alone. The throttle position will affect the PV diagram (pumping losses and less air-fuel mixture in will produce smaller peak pressures), therefore it will affect the thermal efficiency. With a diesel engine (no throttle), less fuel in will lower the peak pressure of the PV diagram. But lower pressures due to less fuel doesn't affect thermal efficiency as much since less fuel means it also produces less heat.
You seem to call that «thermodynamic efficiency» or «design efficiency» in post #33:
Now, the fuel efficiency (as stated in the OP) relies directly on both thermal and mechanical efficiencies. So throttle position (if any) will affect the fuel efficiency.
When the OP says:
Assuming «load» means torque, it make perfect sense. At high loads (high torque) the fuel efficiency decreases because to obtain them we must use a rich mixture where some fuel will not burn, hence the decrease in fuel efficiency. At low loads (small torque), the mechanical efficiency drops radically and most of the fuel is used to fight friction. As you stated, the closer you get to zero mechanical efficiency, the closer we get to zero torque output and, obviously, the fuel efficiency gets close to zero as well (if we consider power output over fuel consumption).