| Issue |
E3S Web Conf.
Volume 592, 2024
International Scientific Conference Energy Management of Municipal Facilities and Environmental Technologies (EMMFT-2024)
|
|
|---|---|---|
| Article Number | 02013 | |
| Number of page(s) | 7 | |
| Section | Thermophysics and Physical Hydrodynamics | |
| DOI | https://doi.org/10.1051/e3sconf/202459202013 | |
| Published online | 20 November 2024 | |
Mathematical modeling of cloudy ice thawing
1 North-East Federal University, 58 Belinsky str, Yakutsk, Russia
2 Kutateladze Institute of Thermophysics, 1 Lavrentiev ave, Novosibirsk, Russia
* Corresponding author: nasavv@mail.ru
The mathematical model of melting ice with inclusions in the form of gas bubbles (cloudy ice) is a problem of radiation-conductive heat transfer in a semitransparent two-phase medium that selectively absorbs and scatters radiation during radiation heating by an external source of thermal radiation. The mathematical problem statement represents the single-phase formulation of the Stefan problem. The temperature distributions and radiation fluxes in a flat layer of melting ice, the rate of ice melting were calculated by a numerical method. To solve the radiation transfer equation was used a modified mean flux method, which allows taking into account a wide range of optical properties of the two-phase medium and the source of thermal radiation. The influence of anisotropic scattering and strong absorption of radiation by the gas contained in the bubbles on the intensity of heating and melting of the ice layer was studied.
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.