Temperature Rise of Oil Film on Cylinder Liner

[X49]

I'm interested in how much the temperature of a thin oil film will rise over a short period of time after it applied to a warmer metal surface, such as splash-lubricated cylinder wall in an engine.

I'm okay with assuming that the metal surface stays at a constant temperature, if that makes the calculation easier.

How would I go about calculating this? As an example, a film of oil 10 microns thick, with a heat capacity of 1.985 J/kJK and a temperature of 100 C is applied to a surface with a temperature of 150 C. What will the temperature of the oil film be after 10 milliseconds?

 

[lucky-guesser]

This equation is based off of your oil temp being constant, so as your oil temp (T2)changes your Q will decrease but it may work as a starting point depending on how accurate you need to be, but this should work. You can also do some calculus to account for the dynamic change.

Then plug your answer into this:

Isolate your delta T for your final answer.