title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¾ÑÑÐ°ÑÑÐ²Ð°ÑÑÐµÐ¹ ÑÑÑÐ±Ðµ ÑÐ°Ð´Ð¸Ð°Ð»ÑÐ½Ð¾-Ð¾ÑÐµÐ²Ð¾Ð¹ Ð³Ð¸Ð´ÑÐ¾ÑÑÑÐ±Ð¸Ð½Ñ Ð½Ð° ÑÐ°ÑÑÐ¸ÑÐ½ÑÑ Ð½Ð°Ð³ÑÑÐ·ÐºÐ°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 study ofthe flow in the draft tube ofFrancis turbine in part load operation
Creators: name: Ð¢ÑÑÐ¸ÑÐµÐ²Ð°, ÐÐ»Ð¸Ð·Ð°Ð²ÐµÑÐ°
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¸Ð´ÑÐ¾ÑÑÑÐ±Ð¸Ð½Ñ ÑÐ°Ð´Ð¸Ð°Ð»ÑÐ½Ð¾-Ð¾ÑÐµÐ²ÑÐµ
ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÑÑÐ±Ð¸Ð½Ð° Ð¤ÑÐµÐ½ÑÐ¸ÑÐ°
ÑÐ°ÑÑÐ¸ÑÐ½Ð°Ñ Ð½Ð°Ð³ÑÑÐ·ÐºÐ°
Ð²Ð¸Ñ ÑÐµÐ²Ð¾Ð¹ ÐºÐ°Ð½Ð°Ñ
Ð¿ÑÐ»ÑÑÐ°ÑÐ¸Ñ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ
ÑÑÐ°Ð±Ð¸Ð»Ð¸Ð·Ð¸ÑÑÑÑÐ¸Ðµ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð°
ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸
Francis turbine
part load
vortex rope
pressure pulsation
stabilizing devices
turbulent models

description: ÐÐ±ÑÐµÐºÑÐ¾Ð¼ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð»ÑÐµÑÑÑ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÑÑÐ±Ð¸Ð½Ñ Ð¤ÑÐµÐ½ÑÐ¸ÑÐ°. ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð¼Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°Ð±Ð¾ÑÑ Ñ ÑÐ°ÑÑÐ¸ÑÐ½Ð¾Ð¹ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¾Ð¹, Ð¿ÑÐ¸Ð¼ÐµÐ½ÑÐµÐ¼Ð¾Ð¹ Ðº ÑÑÑÐ±Ð¸Ð½Ðµ Ð¤ÑÐµÐ½ÑÐ¸ÑÐ° ÑÐ¾ ÑÑÐ°Ð±Ð¸Ð»Ð¸Ð·Ð¸ÑÑÑÑÐ¸Ð¼ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð¾Ð¼ "5 ÑÐµÐ±ÐµÑ" Ð¸ Ð±ÐµÐ· ÑÑÐ°Ð±Ð¸Ð»Ð¸Ð·Ð¸ÑÑÑÑÐ¸Ñ ÑÑÑÑÐ¾Ð¹ÑÑÐ² Ð¸ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸. Ð Ð°ÑÑÐµÑÐ½ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»Ð¸ÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐ¼ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ ÐºÐ¾Ð½ÐµÑÐ½ÑÑ Ð¾Ð±ÑÐµÐ¼Ð¾Ð² Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ ANSYS CFX. Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ»ÑÑÐ°ÑÐ¸Ð¹ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÑÑÐ±Ð¸Ð½Ñ Ð¤ÑÐµÐ½ÑÐ¸ÑÐ° Ð¿ÑÐ¸ ÑÐ°Ð±Ð¾ÑÐµ Ñ ÑÐ°ÑÑÐ¸ÑÐ½Ð¾Ð¹ Ð½Ð°Ð³ÑÑÐ·ÐºÐ¾Ð¹. Ð¢Ð°ÐºÐ¶Ðµ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½ ÑÑÑÐµÐºÑ Ð¾Ñ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ ÑÑÐ°Ð±Ð¸Ð»Ð¸Ð·Ð¸ÑÑÑÑÐµÐ³Ð¾ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð° "5 5 ÑÐµÐ±ÐµÑ". Ð Ð°ÑÑÐµÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»Ð¸ÑÑ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸ k-Îµ, SST k-Ï Ð¸ SAS-SST, ÑÑÐ¸ÑÑÐ²Ð°Ð»Ð¾ÑÑ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ ÑÐµÑÐºÐ¸, ÑÐ°Ð·Ð¼ÐµÑÐ° Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ°Ð³Ð°. Ð¡Ð½Ð°ÑÐ°Ð»Ð° Ð°Ð½Ð°Ð»Ð¸Ð· Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»ÑÑ Ð±ÐµÐ· ÑÑÐµÑÐ° ÐºÐ°Ð²Ð¸ÑÐ°ÑÐ¸Ð¸, Ð² Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐµÐ¼ Ð±ÑÐ»Ð° Ð²ÐºÐ»ÑÑÐµÐ½Ð° Ð¼Ð¾Ð´ÐµÐ»Ñ ÐºÐ°Ð²Ð¸ÑÐ°ÑÐ¸Ð¸. ÐÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸.
description: The object of the study is a model of Francis turbine. The given work is devoted to the numerical study of the part load operation applied to Francis turbine with stabilizing device "5 fins" and without stabilizing devices and comparison of the results with experimental data. The computational studies were carried out by the numerical method of finite volumes using ANSYS CFX. This study provides the results of numerical simulation of pressure pulsations of Francis turbine model at part load operation. The effect of installing the stabilizing device "5 fins" is also considered. The calculation was carried out using k-Îµ, SST k-Ï and SAS-SST turbulence models, and the influence of grid density, time step size was considered. At first analysis was done without cavitation, while later the cavitation model was included. A comparison with experimental data is presented.