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Suppose an infinitely long round bar made of steel of 25 mm diameter, which is traveling at a speed of 10 m/sec. The bar is at a temperature of 950 degrees Celsius. I need to find out how much water (liters per minute or liters per second) do I need to put in contact with the bar in order to cool its surface to 900 degrees Celsius.

I would like to know about formula(s) in order to have a theoretical approach to the solution of this problem.

Thank you.