title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð² ÑÑÑÐ¿ÐµÐ½Ð¸ ÑÐµÐ½ÑÑÐ¾Ð±ÐµÐ¶Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐ°
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 the flow in the centrifugal compressor stage
Creators: name: ÐÐ°ÑÐ¼Ð°Ð½, ÐÑÑÐµÐ¼Ð¸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Ð¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÑ ÑÐµÐ½ÑÑÐ¾Ð±ÐµÐ¶Ð½ÑÐµ
ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð¿ÑÐ¾ÑÐ¾ÑÐ½Ð°Ñ ÑÐ°ÑÑÑ
ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð ÐµÐ¹Ð½Ð¾Ð»ÑÐ´ÑÐ°
Ð²ÑÑ Ð¾Ð´Ð½Ð°Ñ ÑÐ»Ð¸ÑÐºÐ°
flow part
Reynolds equations
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description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð¼Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÑÐ°Ð½ÑÐ·Ð²ÑÐºÐ¾Ð²Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð³Ð°Ð·Ð° Ð² ÑÑÑÐ¿ÐµÐ½Ð¸ ÑÐµÐ½ÑÑÐ¾Ð±ÐµÐ¶Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐ°. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ñ, Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½ ÑÑÐ´ ÑÐ°ÑÑÐµÑÐ½ÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ¾Ð². Ð¢Ð°ÐºÐ¶Ðµ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° ÐºÑÐ¾ÑÑ-Ð²ÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼Ð¸ 2013 Ð³Ð¾Ð´Ð°, ÐºÐ¾ÑÐ¾ÑÑÐµ Ð²ÑÐ¿Ð¾Ð»Ð½ÑÐ»Ð¸ ÑÐ¿ÐµÑÐ¸Ð°Ð»Ð¸ÑÑÑ ÐÑÑÑÐµÐ¹ ÑÐºÐ¾Ð»Ñ Ð¿ÑÐ¸ÐºÐ»Ð°Ð´Ð½Ð¾Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÐºÐ¸ Ð¸ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ¸Ð·Ð¸ÐºÐ¸. 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ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐ¾ÑÐ½Ð¾Ð³Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ. 2. ÐÑÐ¾ÑÑ-Ð²ÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ Ð¿Ð¾ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼ ÑÐ°ÑÑÐµÑÐ¾Ð² [1]. 3. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸ Ð½Ð° ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ°ÑÑÐµÑÐ° ÑÐµÑÐµÐ½Ð¸Ñ Ð³Ð°Ð·Ð°, Ð° ÑÐ°ÐºÐ¶Ðµ ÐºÐ°ÑÐµÑÑÐ²ÐµÐ½Ð½ÑÐµ Ð¸ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²ÐµÐ½Ð½ÑÐµ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ ÑÑÑÐ¿ÐµÐ½Ð¸. 4. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐ° Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½Ð¾Ð¼ Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð¼ ÑÐ°ÑÑÐ¾Ð´Ðµ, Ð¿ÑÐ¸Ð±Ð»Ð¸Ð¶ÐµÐ½Ð½Ð¾Ðµ Ð²ÑÑÐ²Ð»ÐµÐ½Ð¸Ðµ Ð³ÑÐ°Ð½Ð¸ÑÑ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ ÑÑÑÐ¿ÐµÐ½Ð¸. 5. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÑÐ¾Ð²Ð½Ñ Ð²ÑÐ¾Ð´Ð½Ð¾Ð¹ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸ Ð½Ð° ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ ÑÐµÑÐµÐ½Ð¸Ñ Ð² ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐµ. 6. Ð Ð°ÑÑÐµÑ ÑÐµÑÐµÐ½Ð¸Ñ ÑÐµÑÐµÐ·Â  ÐºÐ¾Ð½ÑÐµÐ²ÑÑ ÑÑÑÐ¿ÐµÐ½Ñ: ÑÐ°Ð±Ð¾ÑÐµÐµ ÐºÐ¾Ð»ÐµÑÐ¾, Ð±ÐµÐ·Ð»Ð¾Ð¿Ð°ÑÐ¾ÑÐ½ÑÐ¹ Ð´Ð¸ÑÑÑÐ·Ð¾Ñ, Ð²ÑÑÐ¾Ð´Ð½Ð¾Ðµ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð¾. ÐÐ»Ñ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð¸ÑÑ ÐºÐ¾Ð¼Ð¼ÐµÑÑÐµÑÐºÐ¸Ðµ ÐºÐ¾Ð´Ñ Numeca FineTurbo Ð¸ FineOpen. Ð¡ÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ Ð³Ð°Ð·Ð° Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð»Ð¾ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÐµÑÐµÐ½Ð¸Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ Ð ÐµÐ¹Ð½Ð¾Ð»ÑÐ´ÑÐ°. Ð¢ÐµÐ½Ð·Ð¾Ñ ÑÐµÐ¹Ð½Ð¾Ð»ÑÐ´ÑÐ½ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹ Ð·Ð°Ð¼ÑÐºÐ°Ð»ÑÑ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ SST, Spalart-Allmaras, v2-f Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸.
description: This work is devoted to numerical simulation of transonic gas flow in the stage of a centrifugal compressor. The flow features were considered and a number of computational experiments were performed. Cross-verification was carried out with the results performed by specialists of the Higher School of Applied Mathematics and Computational Physics in 2013 year. The following problems were solved: 1. Grid influence investigation. 2. Cross-verification based on results of numerical simulation [1]. 3. Investigation of the influence of the turbulence model on results of gas flow simulation, as well as the qualitative and quantitative characteristics of the stage. 4. Compressor characteristics determining at different mass flow rates, approximate identification of the stage stable operation limit. 5. Investigation of the input turbulence level influence on the compressor flow characteristics. 6. Numerical simulation of the flow through the last stage: impeller, bladeless diffuser,Â  exhaust device. The commercial codes Numeca FineTurbo and FineOpen were used for computations. The Reynolds equations were solved for stationary gas flow modeling with SST, Spalart-Allmaras and v2-f turbulence models.