The project I am working on at work is determining the cooling system requirements for wire drawing machines. This involves the wire being pulled through sets of dies to reduce the diameter. This process is done while submerged in the "bath" of the machine. The bath liquid has to stay under a certain temperature, or it will break down and the dies will wear out prematurely. There are cooling coils in the bath, and tower water flows through the coils to "cool" the bath. Also, the bath is agitated from the movement of the machine. Our test unit is in place of the tower water supply and it is a closed loop heating/cooling system with a data logger that records the temperatures and flow every 8 minutes. The first thing I did was run the machine so it kept the bath temperature constant. From that I could calculate the heat transfer rate from Q=M*c*deltaT. I said this was the heat that the wire drawing process creates since the bath temp. stayed constant. Then I turned the cooling system off and recorded the rise in the bath temp. over a fixed amount of time. From this, and the process heat transfer rate, I calculated a constant for the bath that includes the mass and specific heat since those are secret and unknown.(units are kJ/deg. Celsius) The problem I have starts with all my other data where the bath temperature starts out at a lower temperature and gradually increases througout the day. The heat transfer book I am looking at only has equations for constant external fluid temperature(the bath in our case), not varying temp. What I want to calculate is the heat removed by the flowing water and add it to the excess heat that raised the bath temperature using the bath constant I found earlier. I thought this would add up to be the process heat transfer rate I found earlier when the bath temp. was constant, but it's not. Obviously the varying bath temperatures is affecting my calculations and if anyone can help me I would appreciate it a lot. The multiple varying delta T's is throwing me off. If there needs to be clarification and/or more info, i'll try to supply it. Thanks.