title: ÐÐ¸ÑÑÐµÑÐµÐ·Ð¸Ñ Ð¿ÑÐ¸ ÑÐµÐ·ÐºÐ¸Ñ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸ÑÑ ÑÐ¾ÑÐ¼Ñ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð¹ Ð·Ð°ÐºÑÑÑÐµÐ½Ð½Ð¾Ð¹ ÑÑÑÑÐ¸, Ð¸ÑÑÐµÐºÐ°ÑÑÐµÐ¹ Ð¸Ð· ÐºÐ¾Ð»ÑÑÐµÐ²Ð¾Ð³Ð¾ ÑÐ¾Ð¿Ð»Ð°: ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Hysteresis during abrupt shape changes of a turbulent swirling jet flowing from an annular nozzle: numerical simulation.
Creators: name: ÐÑÐ¸Ð³Ð¾ÑÑÐµÐ², ÐÑÐºÐ°Ð´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: 2022
Subjects: Ð³Ð¸ÑÑÐµÑÐµÐ·Ð¸Ñ
ÐºÐ¾Ð»ÑÑÐµÐ²Ð°Ñ ÑÑÑÑÑ
Ð²ÐµÐµÑÐ½Ð°Ñ ÑÑÑÑÑ
ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
Ð¼Ð¾Ð´ÐµÐ»Ñ k-e standard
Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¼ÐµÐ½ÑÐµÑÐ°
Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐµÐ¹Ð½Ð¾Ð»ÑÐ´ÑÐ¾Ð²ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹
hysteresis
annular jet
fan jet
turbulent flow
k-e standard model
menter model
reynolds stress model

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ÑÐµÑÐµÐ·Ð¸Ñ Ð¿ÑÐ¸ ÑÐµÐ·ÐºÐ¸Ñ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸ÑÑ ÑÐ¾ÑÐ¼Ñ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð¹ Ð·Ð°ÐºÑÑÑÐµÐ½Ð½Ð¾Ð¹ ÑÑÑÑÐ¸, Ð¸ÑÑÐµÐºÐ°ÑÑÐµÐ¹ Ð¸Ð· ÐºÐ¾Ð»ÑÑÐµÐ²Ð¾Ð³Ð¾ ÑÐ¾Ð¿Ð»Ð°: ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸ÐµÂ». ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð³Ð¸ÑÑÐµÑÐµÐ·Ð¸ÑÐ½ÑÑ ÑÐ²Ð»ÐµÐ½Ð¸Ð¹ Ð¿ÑÐ¸ ÑÐ°Ð·Ð¼ÑÐºÐ°Ð½Ð¸Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð¹ Ð·Ð°ÐºÑÑÑÐµÐ½Ð½Ð¾Ð¹ ÑÑÑÑÐ¸, Ð¸ÑÑÐµÐºÐ°ÑÑÐµÐ¹ Ð¸Ð· ÐºÐ¾Ð»ÑÑÐµÐ²Ð¾Ð³Ð¾ ÑÐ¾Ð¿Ð»Ð°. 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¡Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°ÑÑ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ Ð·Ð°ÑÐ¾Ð¿Ð»ÐµÐ½Ð½Ð¾Ð¹ ÑÑÑÑÐ¸ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸ Ð¸Ð· ÐºÐ¾Ð»ÑÑÐµÐ²Ð¾Ð³Ð¾ ÑÐ¾Ð¿Ð»Ð° Ð² Ð´Ð²ÑÐ¼ÐµÑÐ½Ð¾Ð¼ Ð¿ÑÐ¸Ð±Ð»Ð¸Ð¶ÐµÐ½Ð¸Ð¸ Ð² Ð¾ÑÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ. 2.Â Ð¡ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°ÑÑ Ð¶ÑÑÐ½Ð°Ð» Ð·Ð°Ð¿ÑÑÐºÐ° Ð·Ð°Ð´Ð°Ñ Ð´Ð»Ñ Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸Ð·Ð°ÑÐ¸Ð¸ ÑÐµÑÐ¸Ð¸ ÑÐ°ÑÑÐµÑÐ¾Ð². 3.Â ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÑ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸ Ð½Ð° Ð³Ð¸ÑÑÐµÑÐµÐ·Ð¸Ñ. 4.Â Ð¡ÑÐ°Ð²Ð½Ð¸ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ°ÑÑÐµÑÐ¾Ð² Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð¼Ð¸. Ð Ð°ÑÑÐµÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»Ð¸ÑÑ Ð² Ð¿Ð°ÐºÐµÑÐµ ANSYS FLUENT, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð¸ÑÑ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸ k-Ï SST, k-Îµ Standard Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐµÐ¹Ð½Ð¾Ð»ÑÐ´ÑÐ¾Ð²ÑÑ Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ð¹. ÐÑÐ¸ Ð½ÐµÐ¸Ð·Ð¼ÐµÐ½Ð½Ð¾Ð¹ Ð¾ÑÐµÐ²Ð¾Ð¹ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ Ð¸ Ð¿Ð¾ÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾Ð¼ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ð¸ Ð¸ ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ° Ð·Ð°ÐºÑÑÑÐºÐ¸, ÑÑÑÑÑ Ð²ÐµÐ´ÐµÑ ÑÐµÐ±Ñ Ð¿Ð¾-ÑÐ°Ð·Ð½Ð¾Ð¼Ñ Ð¿ÑÐ¸ Ð¾Ð´Ð¸Ð½Ð°ÐºÐ¾Ð²ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°Ñ - Ð¿ÑÐ¾ÑÐ²Ð»ÑÐµÑÑÑ Ð³Ð¸ÑÑÐµÑÐµÐ·Ð¸Ñ. ÐÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð¾ Ð¼Ð½Ð¾Ð¶ÐµÑÑÐ²Ð¾ Ð¿Ð¾Ð»ÐµÐ¹ Ð´Ð»Ñ Ð´Ð²ÑÑ ÑÐ¾ÑÐ¼ ÑÐµÑÐµÐ½Ð¸Ñ â ÐºÐ¾Ð»ÑÑÐµÐ²Ð°Ñ Ð¸ Ð²ÐµÐµÑÐ½Ð°Ñ ÑÑÑÑÑ, ÑÐ°Ðº Ð¶Ðµ Ð¸ Ð´Ð»Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½Ð¾Ð¹ Ð¸Ð½ÑÐµÐ½ÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð·Ð°ÐºÑÑÑÐºÐ¸. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²ÑÐ±Ð¾ÑÐ° Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸ Ð¸ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ¾Ð¼.
description: The topic of the final qualifying work: "Hysteresis with sudden changes in the shape of a turbulent swirling jet flowing out of an annular nozzle: numerical modeling". This work is devoted to the study of hysteresis phenomena during the opening of a turbulent swirling jet flowing from an annular nozzle. Tasks that were solved during the study: 1. Simulate the turbulent flow of a flooded liquid jet from an annular nozzle in a two-dimensional approximation in an axisymmetric formulation. 2. Generate a task startup log to automate a series of calculations. 3. To investigate the effect of the turbulence model on hysteresis. 4. Compare the results of calculations with experiments. Calculations were carried out in the ANSYS FLUENT package, turbulence models k-Ï SST, k-Îµ Standard and the Reynolds stress model were used. With a constant axial velocity and a sequential increase and decrease in the twist parameter, the jet behaves differently with the same parameters - hysteresis is manifested. There are many fields for two forms of flow â an annular and a fan jet, as well as for different twisting intensity. The study of the turbulence model selection and comparison of the results of numerical simulation with the experiment were carried out.