I am working on a heat transfer problem. In a laboratory we have cold gasoline entering an uninsulated steel tube which runs near the ceiling of the lab. I am trying to determine what the temperature of the fuel will be when it reaches the end of the tube. I know the inlet temperature of the fuel. I also know the temperature of the room that the tube runs in. The equation I am using to solve this problem is q'sAs=m'Cp(Te-Ti). My challenge in solving this problem is that I have two unknowns: the constant heat flux into the pipe from the air in the room (q's), and the discharge temperature of the fuel at the end of the tube (Te). Does anyone know if there is a way for me to determine the constant heat flux for the tube in the room, without knowing the discharge temperature of the fuel? Or am I missing something is my analysis?
Any help would be greatly appreciated.
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