Analysis of the Cylinder Glaciation Models in Seawater

Authors

Galina Kurbatova, Faculty of Applied Mathematics and Control Processes, Saint-Petersburg State University, Universitetskii prospekt 35, Petergof, Saint Petersburg, Russia 198504Follow
Nadezda Ermolaeva, Faculty of Applied Mathematics and Control Processes, Saint-Petersburg State University, Universitetskii prospekt 35, Petergof, Saint Petersburg, Russia 198504Follow

Author Country (or Countries)

Russia

Abstract

An axisymmetric Stefan-type model is presented for glaciation of a cylindrical gas pipeline in sea-water, which is solved numurically. Two simplified models are formulated, one of which admits exact analytical solution. Comparison of the three models in a particular case shows good agreement and indicates that simple models could be useful in estimating ice thickness on pipelines in sea-water.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110333

Recommended Citation

Kurbatova, Galina and Ermolaeva, Nadezda (2017) "Analysis of the Cylinder Glaciation Models in Seawater," Applied Mathematics & Information Sciences: Vol. 11: Iss. 3, Article 33.
DOI: http://dx.doi.org/10.18576/amis/110333
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss3/33