Steam tracers are widely used in industry for heating pipes transporting fluid that cannot be pumped beneath a certain temperature. In most industrial operations the need for heating does not arise during flow from heated tanks, for the residence time of the pipe content is normally short enough to avoid excessive cooling. However, steam tracers must be added to the pipe to allow warming when pumping is stopped. In this paper a mathematical solution for the heat transfer problem is developed giving the mean temperature of the pipe content and the hottest point temperature as a function of time, under nonflow conditions. The analysis covers the cases of pipes with one or two tracers and with or without heat conducting cement. The equations are cumbersome, but their evaluation for steel pipes with diameters spanning from 38.1 to 355.6 mm and filled with heavy oil products shows that in this particular case they can be greatly simplified.

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