Question: Transient Heat Transfer Problem


I am trying to solve a transient heat transfer problem.

The problem is that I have an insulated pipe that is immersed in cold water.  At time 0, the fluid filling the pipe is at a constant temperature.  The insulation at one end of the pipe is different to the rest of the insulation.  I need to find out the time that it would take any fluid to reach a certain temperature, called the cool down time.

A graphic representation of the problem with the data that should be required to solve the problem is as shown in the figure

Problem definition


Any assistance would be greatly appreciated.

Best regards

Andrew Lindsay

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