Mathematical Modeling of Reverse Processes with Consideration of the Water–Ice Phase Transition

Abstract

The results of mathematical modeling taking into account the phase transition occurring at filtration of air flow through a tubular heat exchanger are presented. The heat exchanger is made of thin-walled plastic tubes (3.2 mm in diameter), filled with water and sealed at both ends. The calculation results qualitatively coincide with the results of experimental studies carried out under natural conditions. The model with consideration of the “water–ice” and “ice–water” phase transitions makes it possible to describe the experimentally observed intersection of time dependences of air temperature in cross sections. This intersection could not be obtained without account of the phase transition in the model. The quantitative difference between the calculation results and the experiment is explained by the choice of insufficiently small value of the relative temperature difference; this parameter needs clarification in further research.