The objective of the study is to build a simple yet informative mathematical model that describes the thermal state of a water pipeline at low negative temperatures around it. The model concerns the kinetics of water freezing inside the pipe, i.e., the kinetics of ice formation. The model is based on the theory of Markov chains and its application to the non-linear heat conduction in a multi-layer medium. Some of results of numerical experiments with the developed model are presented.

water pipeline, heat insulation, heat conduction, thermal state, water freezing, ice, cell model, matrix of heat conduction, phase content distribution, numerical experiments.

Received: May 10, 2021; Accepted: June 19, 2021; Published: July 31, 2021

How to cite this article: Vadim Mizonov, Andrey Tikhonov, Andrey Mitrofanov, Evgeny Barochkin and Elena Shuina, A simple model for describing thethermal state of a water pipe at low negative temperatures, JP Journal of Heat and Mass Transfer 23(2) (2021), 293-302. DOI: 10.17654/HM023020293

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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