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It occurs to me there might be some confusion over this discussion. From my perspective the cooling system is not an issue until it reaches its cooling limits. So that would mean mass flow can't increase and the thermostat is open all the time with the engine temp exceeding design limits in steady state operation. The only way to resolve the issue is to lower the coolant inlet temp so the fixed temp rise of the engine results in an operating temp lower than before and hopefully within limits. Not possible to do this without increasing the heat exchanger's efficiency and that means more area for convective transfer.
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