ABSTRACT
The paper presents the three-dimensional transient heat transfer with phase change problem analyzed by means of discrete two-dimensional approach combined with energy transfer in longitudinal direction. The change of transported content temperature during passage through the computational plane is determined based on the energy exchange balance. The general thermal formulation in each analyzed plane employs the concept of fixed domain. The discrete planes (contributing planes) of unit thickness are connected with each other in adiabatic fashion. The specific features of this approach are described and discussed. To demonstrate the possibility of application of this concept in analysis of problems of considerable practical importance, the low energy pipeline designed to convey crude oil for a long distance located in cold climates is investigated and discussed.
