title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¿ÑÐ·ÑÑÑÐºÐ¾Ð²Ð¾Ð¹ ÐºÐ¾Ð»Ð¾Ð½Ð½Ðµ
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 flow in a bubble column
Creators: name: ÐÐ¾ÑÐµÑÐ¸Ð½Ð°, ÐÐ¸ÐºÑÐ¾ÑÐ¸Ñ
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: 2020
Subjects: Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð·Ð½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
ÑÐ¸Ð»Ñ Ð¼ÐµÐ¶ÑÐ°Ð·Ð½Ð¾Ð³Ð¾ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ
ÑÐ¹Ð»ÐµÑÐ¾Ð²Ð¾-ÑÐ¹Ð»ÐµÑÐ¾Ð²ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð´Ñ Ð¾Ð´
OpenFOAM
multiphase flow
interphase interaction forces
euler-euler approach

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¿ÑÐ·ÑÑÑÐºÐ¾Ð²Ð¾Ð¹ ÐºÐ¾Ð»Ð¾Ð½Ð½ÐµÂ».
ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ·ÑÑÑÐºÐ¾Ð²ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð² Ð¾Ð±Ð»Ð°ÑÑÐ¸, Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐµÐ½Ð½Ð¾Ð¹ ÑÐ²ÐµÑÐ´ÑÐ¼Ð¸ ÑÑÐµÐ½ÐºÐ°Ð¼Ð¸. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ:
1. Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð·Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¿ÑÐ·ÑÑÑÐºÐ¾Ð²Ð¾Ð¹ ÐºÐ¾Ð»Ð¾Ð½Ð½Ðµ.
2. ÐÑÐµÐ½ÐºÐ° ÑÑÐµÐ¿ÐµÐ½Ð¸ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¾ÑÐ´ÐµÐ»ÑÐ½ÑÑ Ð¼ÐµÐ¶ÑÐ°Ð·Ð½ÑÑ ÑÐ¸Ð» Ð½Ð° ÑÐ¾ÑÐ½Ð¾ÑÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ.
3. Ð¡ÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ñ Ð¸Ð¼ÐµÑÑÐ¸Ð¼Ð¸ÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸.
ÐÑÐ½Ð¾Ð²Ð½Ð°Ñ ÑÐ°ÑÑÑ ÑÐ°Ð±Ð¾ÑÑ Ð¿Ð¾ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð¼Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ, Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½Ð¾Ð¼Ñ Ð½Ð° ÑÐ¹Ð»ÐµÑÐ¾Ð²Ð¾-ÑÐ¹Ð»ÐµÑÐ¾Ð²ÑÐºÐ¾Ð¼ Ð¿Ð¾Ð´ÑÐ¾Ð´Ðµ, Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð² Ð¿Ð°ÐºÐµÑÐµ OpenFOAM. ÐÐ»Ñ ÐºÑÐ¾ÑÑ-Ð²ÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð¸ÑÑ ÐºÐ¾Ð´ mFlow, ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½ÑÐ¹ Ð² Ð¡ÐµÐºÑÐ¾ÑÐµ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¤Ð¢Ð Ð¸Ð¼. Ð.Ð¤.ÐÐ¾ÑÑÐµ, Ð¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÐ¹ Ð¿Ð°ÐºÐµÑ ANSYS Fluent. 
Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð±ÑÐ»Ð° Ð¿Ð¾Ð»ÑÑÐµÐ½Ð° Ð´ÐµÑÐ°Ð»ÑÐ½Ð°Ñ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ñ Ð¾ ÑÑÑÑÐºÑÑÑÐµ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¿ÑÐ·ÑÑÑÐºÐ¾Ð²Ð¾Ð¹ ÐºÐ¾Ð»Ð¾Ð½Ð½Ðµ. Ð£ÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¾, ÑÑÐ¾ Ð¾ÑÐ½Ð¾Ð²Ð½Ð¾Ð¹ Ð²ÐºÐ»Ð°Ð´ Ð²Ð½Ð¾ÑÑÑ Ð¿Ð¾Ð´ÑÐµÐ¼Ð½Ð°Ñ ÑÐ¸Ð»Ð° Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð°Ñ Ð´Ð¸ÑÑÑÐ·Ð¸Ñ. ÐÑÐ¾ÑÑ-Ð²ÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ ÐºÐ¾Ð´Ð¾Ð² Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÑÐµ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐºÐ¾ÑÐ¾ÑÑÐµÐ¹ Ð¸ Ð¾Ð±ÑÑÐ¼Ð½Ð¾Ð¹ Ð´Ð¾Ð»Ð¸ Ð´Ð¸ÑÐ¿ÐµÑÑÐ½Ð¾Ð¹ ÑÐ°Ð·Ñ Ð¿Ð¾ÐºÐ°Ð·Ð°Ð»Ð¾ Ð½Ð°Ð»Ð¸ÑÐ¸Ðµ Ð½ÐµÐºÐ¾ÑÐ¾ÑÑÑ Ð¾ÑÐ»Ð¸ÑÐ¸Ð¹, ÑÑÐ¾ ÑÐ²ÑÐ·Ð°Ð½Ð¾ Ñ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¼Ð¸ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¾Ð²ÑÐ¼Ð¸ ÑÐ»Ð°Ð³Ð°ÐµÐ¼ÑÐ¼Ð¸ Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸. ÐÐ»Ñ Ð´Ð¾ÑÑÐ¸Ð¶ÐµÐ½Ð¸Ñ Ð»ÑÑÑÐ¸Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾ Ð´Ð¾Ð±Ð°Ð²Ð¸ÑÑ Ð² ÐºÐ¾Ð´ OpenFOAM ÑÐ»Ð°Ð³Ð°ÐµÐ¼ÑÐµ, Ð¾ÑÐ²ÐµÑÐ°ÑÑÐ¸Ðµ Ð·Ð° Ð³ÐµÐ½ÐµÑÐ°ÑÐ¸Ñ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸ Ð¿ÑÐ·ÑÑÑÐºÐ°Ð¼Ð¸.
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description: The subject of the graduate qualification work is âNumerical simulation of flow in a bubble columnâ.
The given work is devoted to studying bubble flows in the area bounded between solid walls. The research set the following goals:
1. Numerical simulation of multiphase flow in a bubble column
2. Estimation of the degree of influence of individual interphase forces on the accuracy of numerical simulation.
3. Comparison with available experimental data.
The main part of the work on numerical simulation based on the Euler-Euler approach was carried out in the OpenFOAM software. For cross-verification of the results, the mFlow code developed in the sector of numerical modeling of the Ioffe Institute of physics was used and the ANSYS Fluent software package.
As a result of the research, detailed information was obtained about the structure of the turbulent flow in the bubble column. It was found that the main contribution is made by lift and turbulent diffusion. Cross-verification of codes on the example of velocity distribution and volume fraction of the dispersed phase showed some differences, which is associated with additional source terms in the turbulence model. To achieve better results, add the terms responsible for generating turbulence by bubbles to the OpenFOAM code.
The present work is of interest in industry, where there is a multiphase flow.