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Using some very rough numbers and a ton of assumptions, we can guesstimate the heat loss by radiation. I took an average of the three measured surface temperatures with no turbo blanket resulting in a value of 584 K. The other assumptions are an ambient temperature of 298 K, a surface area of 0.17m^2, and an emissivity of oxidized cast iron of 0.64. Cranking out the numbers results in about 670 watts of heat being lost by radiation from the turbine housing. Keep in mind one horsepower is equal to 746 watts, so almost one horsepower of energy that could be going through the turbine wheel is lost. In an actual engine bay, there is going to be some heat transfer by convection from air flowing over the turbine housing too. This could be equal or greatly more than the heat lost by radiation depending on the speed of the airflow through the engine bay and the temperature of the air. I think it is safe to say a few horsepower are lost from the turbine due to heat transfer. Keep in mind these numbers are at a part load condition on a diesel. At full load, a diesel will easily have exhaust gas temperatures over 700 deg C, or 200 deg C more than this test. Heat transfer by radiation is a function of temperature to the fourth power, so a LOT more heat would be lost.
Let’s say with the 200 deg C hotter exhaust gas, the surface temperature increases by 100 deg C. Those changes result in the power lost due to radiation jumping from 670 watts to 1300 watts! Of course, the heat lost due to convection will increase also. If talking about gasoline engine temperatures, the exhaust gas temperatures can go over 950 deg C, or another 200 deg C hotter than diesel. Adding another 100 deg C surface temperature increases the heat loss due to radiation up to 2280 watts, or about three horsepower. Adding a handful of horsepower to a turbine wheel to spin it up will definitely improve spool up and response. For those of you in the Subaru crowd, you know Jeff Perrin will show dyno results with a hot header and a colder header. With a hot header, the dyno plots always show the turbo spooling faster. Why? Because when the header is cold, it is sucking heat out of the exhaust gas before it gets to the turbo. Fortunately for us, the research conducted by Bickle gives us further proof.



