title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÐµÑ Ð¼ÐµÑÐ½Ð¾Ð¹ ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð¾Ð¹ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð¸ Ð¶Ð¸Ð´ÐºÐ¸Ñ Ð¼ÐµÑÐ°Ð»Ð»Ð¾Ð², Ð²ÐºÐ»ÑÑÐ°Ñ ÑÑÑÐµÐºÑÑ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Numerical simulation of three-dimensional free convection of liquid metals, including the effects of the magnetic field
Creators: name: Ð¨ÐµÑÑÑÐ¾Ð±Ð¾ÐµÐ², Ð®ÑÐ¸Ð¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÐÐµÑÐ°Ð»Ð»Ñ Ð¶Ð¸Ð´ÐºÐ¸Ðµ
ÐÐ°Ð³Ð½Ð¸ÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ
ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð°Ñ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ñ
Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð°Ñ ÑÐµÑÐºÐ° ÐÐ¾ÑÐ¾Ð½Ð¾Ð³Ð¾
Ð¼Ð°Ð³Ð½Ð¸ÑÐ¾Ð³Ð¸Ð´ÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ°
free convection
Voronoi grid
magnetohydrodynamics

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description: This work is devoted to the numerical simulation of free convective stationary laminar and non-stationary transient flow of molten iron in a square cavity and a cubic cavity with and without the influence of an external magnetic field. The main results lie in the flow fields presented in the paper and in the dependences of the Nusselt number on Rayleigh and Hartmann numbers. The problems solved in the paper are: 1. To obtain a numerical solution to the problem of free convection of air in a square cavity and a cubic cavity and to compare the obtained results with the literature data to verify the package and numerical methods; 2. Realization of a necessary functional for carrying out non-stationary calculations and calculations taking into account the influence of an external magnetic field on the flow, as well as for a better visualization of the data; 3. We have obtained a numerical solution of the problem of free convection of molten iron in a square cavity and a cubic cavity with and without the influence of a magnetic field. The paper consists of six chapters, an introduction, a conclusion and a list of sources. The introduction substantiates the relevance of the work and lists its main stages. The first chapter provides a review of the literature on the problems discussed. The second chapter gives a description of the problem statement, describes the information about the computational package used, and discusses some of the computational aspects of the calculations. Chapter three discusses the implemented functional and the results of its testing. The fourth chapter presents the results of calculations of free air convection in a square cavern and a cubic cavity with differently heated vertical walls and compares them with the available literature data. The fifth chapter presents the results of calculations of free convection of molten iron in a square cavern and a cubic cavity with differently heated vertical walls without the influence of an external magnetic field. The sixth chapter presents the results of calculations of free convection of molten iron in a square cavern and a cubic cavity with differently heated vertical walls in the presence of an external magnetic field. The main results and conclusions are presented in the conclusion.