ABSORPTION-DELAY MODELS OF HEAT TRANSPORT
Ralph E. Showalter, Darrin Bernardo Visarraga · Mathematical Models and Methods in Applied Sciences · 2003
A temperature jump in water traveling through a pipe is delayed by the absorption of heat into the pipe wall. The convective transport of heat by the water and the conductive exchange with the interior pipe wall are described by an exact but highly singular micro-model. The limiting form of this parabolic initial-boundary-value problem is a distributed microstructure model, which can successively be better approximated by simpler first- and second-order kinetic models. This model provides a means to validate and calibrate these classical multi-temperature kinetic models which are used to describe the delay.