title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð¾Ð¹ ÑÑÑÑÐ¸, ÑÐ¾ÑÐ¼Ð¸ÑÑÐµÐ¼Ð¾Ð¹ Ð¿ÑÐ¸ ÐºÐ°ÑÐ»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: Numerical study of the impulse jet propagation formed during the cough
Creators: name: Ð¢Ð¸ÑÐ¾Ð¼Ð¸ÑÐ¾Ð², ÐÐ»ÐµÐºÑÐ°Ð½Ð´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: 2022
Subjects: Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð°Ñ ÑÑÑÑÑ
ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ðµ ÐºÐ°Ð¿ÐµÐ»Ñ
ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
impulse jet
drop spreading
turbulent flow
numerical simulation

description: ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¾ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð¾Ð¹ ÑÑÑÑÐ¸, ÑÐ¾ÑÐ¼Ð¸ÑÑÐµÐ¼Ð¾Ð¹ Ð² Ð¿ÑÐ¾ÑÐµÑÑÐµ ÐºÐ°ÑÐ»Ñ, Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ URANS Ð¿Ð¾Ð´ÑÐ¾Ð´Ð° Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ kâÎµ RNG Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸ Ð² Ð¾ÑÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½Ð¾Ð¹ Ð¸Ð·Ð¾ÑÐµÑÐ¼Ð¸ÑÐµÑÐºÐ¾Ð¹ 2D Ð¸ Ð½ÐµÐ¸Ð·Ð¾ÑÐµÑÐ¼Ð¸ÑÐµÑÐºÐ¾Ð¹ 3D Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ°Ñ. ÐÐ¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ° Ð·Ð°Ð´Ð°ÑÐ¸, Ð¿ÑÐ¸Ð±Ð»Ð¸Ð¶ÐµÐ½Ð° Ðº ÑÑÐ°Ð»Ð¾Ð½Ð½Ð¾Ð¼Ñ DNS-ÑÐµÑÑÑ. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ°ÑÑÐµÑÑ Ñ Ð¿Ð¾ÑÑÐ¾ÑÐ½Ð½ÑÐ¼ Ð¸ ÐºÑÑÐ¾ÑÐ½Ð¾-Ð»Ð¸Ð½ÐµÐ¹Ð½ÑÐ¼ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸ÐµÐ¼ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ Ð½Ð° Ð²ÑÐ¾Ð´Ð½Ð¾Ð¹ Ð³ÑÐ°Ð½Ð¸ÑÐµ. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ°ÑÑÐµÑÑ Ñ Ð´Ð¾Ð±Ð°Ð²Ð»ÐµÐ½Ð¸ÐµÐ¼ ÐºÐ°Ð¿ÐµÐ»Ñ, Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÐºÐ¾ÑÐ¾ÑÑÑ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¾ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¿Ð¾Ð´ÑÐ¾Ð´Ð° ÐÐ°Ð³ÑÐ°Ð½Ð¶Ð°. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ URANS Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð² 2D Ð¸ 3D Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ°Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ°ÑÑÑÑ Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼Ð¸ DNS ÑÐ°ÑÑÐµÑÐ° Ð² Ð½Ð°ÑÐ°Ð»ÑÐ½ÑÐµ Ð¼Ð¾Ð¼ÐµÐ½ÑÑ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð¸ ÑÐ´Ð¾Ð²Ð»ÐµÑÐ²Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ ÑÐ¾Ð²Ð¿Ð°Ð´Ð°ÑÑ Ð¿Ð¾ ÑÐ°ÑÐ°ÐºÑÐµÑÐ½ÑÐ¼ Ð·Ð½Ð°ÑÐµÐ½Ð¸ÑÐ¼ ÑÐºÐ¾ÑÐ¾ÑÑÐµÐ¹ Ð¸ ÑÐ¾ÑÐ¼Ð°Ð¼ Ð¾Ð±Ð»Ð°ÐºÐ¾Ð², ÑÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÑ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ½Ð¾Ð¹ ÑÑÑÑÐµÐ¹, Ð² Ð¼Ð¾Ð¼ÐµÐ½ÑÑ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð¿Ð¾ÑÐ»Ðµ Ð¾ÐºÐ¾Ð½ÑÐ°Ð½Ð¸Ñ Ð¸ÑÐ¿ÑÑÐºÐ°Ð½Ð¸Ñ ÑÑÑÑÐ¸. ÐÐ·ÑÑÐ°Ð»Ð¾ÑÑ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð²ÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ° Ð¸ ÑÐ°ÑÑÐ¾Ð´Ð° ÑÑÑÑÐ¸ Ð½Ð° Ð¿Ð¾Ð»ÑÑÐ°ÐµÐ¼Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ: Ð±ÐµÐ·ÑÐ°Ð·Ð¼ÐµÑÐ½ÑÐµ Ð¿ÑÐ¾ÑÐ¸Ð»Ð¸ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ Ð² Ð¿ÑÐ¾Ð´Ð¾Ð»ÑÐ½Ð¾Ð¼ Ð¸ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð¾Ð¼ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð¾Ð±Ð»Ð°ÐºÐ° Ð² Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ½ÑÐµ Ð¼Ð¾Ð¼ÐµÐ½ÑÑ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ ÑÐ¾Ð²Ð¿Ð°Ð´Ð°ÑÑ, Ð² ÑÐ°Ð·Ð¼ÐµÑÐ½ÑÑ ÐºÐ¾Ð¾ÑÐ´Ð¸Ð½Ð°ÑÐ°Ñ ÑÐ°ÑÐ°ÐºÑÐµÑÐ½ÑÐµ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ ÑÐºÐ¾ÑÐ¾ÑÑÐµÐ¹, Ð´Ð°Ð»ÑÐ½Ð¾Ð±Ð¾Ð¹Ð½Ð¾ÑÑÑ Ð¸ ÑÐ°Ð·Ð¼ÐµÑ Ð¾Ð±Ð»Ð°ÐºÐ° ÑÐ°Ð·Ð»Ð¸ÑÐ½Ñ. Ð Ð°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ðµ ÑÑÐ¶ÐµÐ»ÑÑ ÐºÐ°Ð¿ÐµÐ»Ñ Ð´Ð¸Ð°Ð¼ÐµÑÑÐ° 128â¦256Â Ð¼ÐºÐ¼ Ð¾ÑÑÑÐµÑÑÐ²Ð»ÑÐµÑÑÑ Ð¿Ð¾ Ð±Ð°Ð»Ð»Ð¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ð¼ ÑÑÐ°ÐµÐºÑÐ¾ÑÐ¸ÑÐ¼ â Ð¿Ð¾Ð´ Ð´ÐµÐ¹ÑÑÐ²Ð¸ÐµÐ¼ ÑÐ¸Ð»Ñ ÑÑÐ¶ÐµÑÑÐ¸ ÐºÐ°Ð¿Ð»Ð¸ Ð¿Ð¾ÐºÐ¸Ð´Ð°ÑÑ ÑÐ°ÑÑÐµÑÐ½ÑÑ Ð¾Ð±Ð»Ð°ÑÑÑ Ðº Ð¼Ð¾Ð¼ÐµÐ½ÑÑ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ 2 Ñ. ÐÐµÐ³ÐºÐ¸Ðµ ÐºÐ°Ð¿Ð»Ð¸ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÑÑÑ Ð² ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²Ð¸Ðµ Ñ Ð½ÐµÑÑÑÐµÐ¹ ÑÐ°Ð·Ð¾Ð¹ Ð¸ Ðº Ð¼Ð¾Ð¼ÐµÐ½ÑÑ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ 10 Ñ Ð¾ÑÐ´ÐµÐ»ÑÐ½ÑÐµ ÐºÐ°Ð¿Ð»Ð¸ Ð´Ð¾ÑÑÐ¸Ð³Ð°ÑÑ 0.45 Ð¼ Ð¿Ð¾ Ð²ÑÑÐ¾ÑÐµ. ÐÐ»Ñ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð±Ð¾Ð»ÑÑÐµÐ¹ Ð¿ÑÐ¾Ð´Ð¾Ð»Ð¶Ð¸ÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸ Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾ ÑÐ°ÑÑÐ¸ÑÐµÐ½Ð¸Ðµ ÑÐ°ÑÑÑÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸.
description: Numerical simulation of the impulse jet formed during the cough was carried out based on the URANS approach using the kâÎµ RNG turbulence model in axisymmetric isothermal 2D and non-isothermal 3D formulations. The formulation of the problem is close to the reference DNS test. Calculations with constant and piecewise linear velocity distribution at the inlet boundary was carried out. Calculations with the addition of droplets have been carried out, the modeling of which is based on the Lagrange approach. The results of numerical URANS modeling in 2D and 3D formulations differ from the results of DNS calculations at the initial moments of time and satisfactorily coincide in the characteristic values of velocities and shapes of puffs formed by the impulse jet at the time after the end of the jet emission. The influence of the inlet impulse of the jet and the flow rate on the resulting airflow was studied: dimensionless velocity profiles in the longitudinal and transversal directions of the puff coincide at identical time moments, in dimensional coordinates the characteristic values of velocities, range and size of the puff are different. The propagation of heavy droplets with a diameter of 128...256 Î¼m is carried out along ballistic trajectories under the gravity, the droplets leave the computational domain by the time of 2 s. Light droplets spread in accordance with the air propagation and by the time of 10 s, individual droplets reach 0.45 m in height. For calculations of longer duration, it is necessary to expand the computational domain.