title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð¸Ñ ÑÐµÐ²ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹, ÑÐ¾ÑÐ¼Ð¸ÑÑÐµÐ¼ÑÑ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð¾Ð¹ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð¹ ÑÑÑÑÐµÐ¹
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: Numerical study of vortex flows formed by an impulse turbulent jet propagation
Creators: name: ÐÐ°ÑÐ¸ÐµÐ²Ð°, ÐÐ°ÑÐ¸Ð½Ð°
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: 2024
Subjects: Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð°Ñ ÑÑÑÑÑ
Ð²Ð¸Ñ ÑÐµÐ²Ð¾Ðµ Ð¾Ð±Ð»Ð°ÐºÐ¾
ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
pulse jet
vortex cloud
turbulent flow
numerical modeling

description: ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¾ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð¸ÑÑÐµÐ²ÑÑ ÑÑÑÑÐºÑÑÑ, ÑÐ¾ÑÐ¼Ð¸ÑÑÐµÐ¼ÑÑ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð¾Ð¹ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð¹ ÑÑÑÑÐµÐ¹, Ð² Ð¾ÑÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½Ð¾Ð¹ (2D) Ð¸ 3D Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ°Ñ, Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ URANS Ð¿Ð¾Ð´ÑÐ¾Ð´Ð° Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÑÐ°Ð½Ð´Ð°ÑÑÐ½Ð¾Ð¹ k-Îµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸. ÐÐ½Ð°ÑÐµÐ½Ð¸Ðµ ÑÐ¸ÑÐ»Ð° Ð ÐµÐ¹Ð½Ð¾Ð»ÑÐ´ÑÐ° Ð±ÑÐ»Ð¾ Ð·Ð°Ð´Ð°Ð½Ð¾ ÑÐ°Ð²Ð½ÑÐ¼ 14,5â10^3. ÐÐ°Ð´Ð°ÑÐ° ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð° Ð² Ð¸Ð·Ð¾ÑÐµÑÐ¼Ð¸ÑÐµÑÐºÐ¸Ñ Ð¸ Ð½ÐµÐ¸Ð·Ð¾ÑÐµÑÐ¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÑÐ»Ð¾Ð²Ð¸ÑÑ, ÐºÐ¾Ð³Ð´Ð° Ð¿ÐµÑÐµÐ¿Ð°Ð´Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑ Ð¼ÐµÐ¶Ð´Ñ Ð¿ÑÐ¸ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÑÑÑÐµÐ¹ Ð¸ Ð¾ÐºÑÑÐ¶Ð°ÑÑÐµÐ¹ ÑÑÐµÐ´Ð¾Ð¹ Ð±ÑÐ» Ð·Ð°Ð´Ð°Ð½ ÑÐ°Ð²Ð½ÑÐ¼ 10, 20 Ð¸ 40â. ÐÐ»Ñ Ð¸Ð·Ð¾ÑÐµÑÐ¼Ð¸ÑÐµÑÐºÐ¸Ñ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² ÑÐ°ÑÑÐµÑÐ¾Ð² Ð² 2D Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð° Ð¾ÑÐµÐ½ÐºÐ° Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐ°ÑÑÑÐ¾ÑÐ½Ð¸Ñ Ð´Ð¾ Ð¾ÑÐºÑÑÑÐ¾Ð¹ Ð±Ð¾ÐºÐ¾Ð²Ð¾Ð¹ Ð³ÑÐ°Ð½Ð¸ÑÑ ÑÐ°ÑÑÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸. ÐÐ¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð¿ÑÐ¸ Ð²ÑÑÐ¾ÑÐµ ÑÐ°ÑÑÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÐ°Ð²Ð½Ð¾Ð¹ 24 ÐºÐ°Ð»Ð¸Ð±ÑÐ°Ð¼ Ð¸ Ð±Ð¾Ð»ÑÑÐµÐ¹, Ð¿Ð¾Ð»ÑÑÐ°ÐµÐ¼ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð½Ðµ Ð¸Ð·Ð¼ÐµÐ½ÑÑÑÑÑ. Ð 2D Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð¾ÑÐµÐ½ÐºÐ° Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð²ÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð½Ð° ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ Ð²Ð¸ÑÑÐµÐ²Ð¾Ð³Ð¾ Ð¾Ð±Ð»Ð°ÐºÐ°. ÐÐ¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð²ÑÐ¾Ð´Ð½Ð¾Ð¹ Ð¿ÑÐ¾ÑÐ¸Ð»Ñ Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÐµÑ ÑÐ»Ð°Ð±Ð¾Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð½Ð° Ð¿Ð¾Ð»ÑÑÐ°ÐµÐ¼ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ. Ð Ð°ÑÑÐµÑÑ Ð¿ÑÐ¸ ÑÐ¸ÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¼ Ð¿ÐµÑÐµÐ¿Ð°Ð´Ðµ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑ, ÑÑÐ¾ Ñ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸ÐµÐ¼ ÑÐ³Ð»Ð° Ð¼ÐµÐ¶Ð´Ñ Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸ÐµÐ¼ Ð¿Ð¾Ð´Ð°ÑÐ¸ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð¾Ð¹ ÑÑÑÑÐ¸ Ð¸ Ð³ÑÐ°Ð²Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ¸Ð»Ñ (Ð¾Ñ 0Â° Ð´Ð¾ 180Â°) Ð´Ð°Ð»ÑÐ½Ð¾ÑÑÑ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ Ð²Ð¸ÑÑÐµÐ²Ð¾Ð³Ð¾ Ð¾Ð±Ð»Ð°ÐºÐ° Ð² ÑÐ¸ÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐµ Ð¼Ð¾Ð¼ÐµÐ½ÑÑ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð²Ð¾Ð·ÑÐ°ÑÑÐ°ÐµÑ. ÐÐ»Ñ Ð¿ÑÐµÐ´ÐµÐ»ÑÐ½ÑÑ ÑÐ»ÑÑÐ°ÐµÐ² Ð¿ÑÐ¸ ÑÐ³Ð»Ð°Ñ Ð¿Ð¾Ð´Ð°ÑÐ¸ 0Â° Ð¸ 180Â° Ð² 2D Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð° Ð¾ÑÐµÐ½ÐºÐ° Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¿ÐµÑÐµÐ¿Ð°Ð´Ð° ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð½Ð° ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ Ð²Ð¸ÑÑÐµÐ²Ð¾Ð³Ð¾ Ð¾Ð±Ð»Ð°ÐºÐ°.
description: Numerical modeling of vortex structures formed by an impulse turbulent jet in axisymmetric (2D) and 3D formulations has been performed on the basis of the URANS approach using the standard k-Îµ turbulence model. The value of the Reynolds number was set equal to 14,5â10^3. The problem was considered under isothermal and non-isothermal conditions, when the temperature differences between the impulse jet and the environment were set to 10, 20 and 40â. For isothermal cases performed in 2D formulation, the influence of the distance to the open lateral boundary of the computational domain is evaluated. It is shown that at the height of the computational region equal to 24 calibers and higher, the obtained calculation results do not change. In 2D formulation, the influence of the inlet distribution on the vortex cloud characteristics was evaluated. It is shown that the inlet profile has a weak influence on the obtained results. Calculations at a fixed temperature difference show that the vortex cloud propagation range at fixed moments of time increases with increasing angle between the impulse jet feed direction and gravitational force (from 0Â° to 180Â°). For the cases at the feed angles of 0Â° and 180Â°, the influence of the temperature differences on the vortex cloud characteristics is evaluated in 2D formulation.