title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² ÑÑÑÐ±Ðµ Ñ Ð¿Ð¾Ð²Ð¾ÑÐ¾ÑÐ¾Ð¼ Ð½Ð° 90 Ð³ÑÐ°Ð´ÑÑÐ¾Ð² Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¿Ð°ÐºÐµÑÐ° OpenFOAM
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 modeling of turbulent flow in a 90-degree bend pipe on the base of the OpenFOAM package
Creators: name: ÐÐ°Ð´ÐµÐ¹ÑÐ¸ÐºÐ¾Ð²Ð°, ÐÐ°ÑÐ¸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: ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
ÑÑÑÐ±Ð° Ñ Ð¿Ð¾Ð²Ð¾ÑÐ¾ÑÐ¾Ð¼
ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
OpenFOAM
Ð²Ð¸Ñ ÑÐ¸ ÐÐ¸Ð½Ð°
turbulent flow
90-degree bend
numerical simulation
Dean vortices

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Ð»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² ÑÑÑÐ±Ðµ Ñ Ð¿Ð¾Ð²Ð¾ÑÐ¾ÑÐ¾Ð¼ Ð½Ð° 90 Ð³ÑÐ°Ð´ÑÑÐ¾Ð² Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¿Ð°ÐºÐµÑÐ° OpenFOAMÂ». 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 Ð² ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾Ð¹ ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ, ÑÐ°Ð·Ð²Ð¸Ð²Ð°ÑÑÐµÐ³Ð¾ÑÑ Ð² ÐºÑÑÐ³Ð»Ð¾Ð¹ ÑÑÑÐ±Ðµ Ñ Ð¿Ð¾Ð²Ð¾ÑÐ¾ÑÐ¾Ð¼ Ð½Ð° 90 Ð³ÑÐ°Ð´ÑÑÐ¾Ð² Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð¾ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÑÐµÐ¼Ð¾Ð³Ð¾ Ð¿Ð°ÐºÐµÑÐ° Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ Ð³Ð¸Ð´ÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸ OpenFOAM. 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: ÐÐ¾Ð´Ð³Ð¾ÑÐ¾Ð²ÐºÐ° ÑÐ°ÑÑÐµÑÐ½ÑÑ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²Ð¾Ðº Ð·Ð°Ð´Ð°ÑÐ¸ Ð´Ð»Ñ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ð³Ð¾ Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð² ÐºÑÑÐ³Ð»Ð¾Ð¹ ÑÑÑÐ±Ðµ Ñ Ð¿Ð¾Ð²Ð¾ÑÐ¾ÑÐ¾Ð¼ Ð½Ð° 90 Ð³ÑÐ°Ð´ÑÑÐ¾Ð². ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ð²ÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ ÑÐ°ÑÑÐµÑÐ° ÑÐµÑÐµÐ½Ð¸Ñ Ð² ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿Ð°ÐºÐµÑÐ° OpenFOAM. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ð¾ÑÐ½Ð¾Ð²Ð½Ð¾Ð³Ð¾ ÑÐ°ÑÑÐµÑÐ° ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ RANS Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ¸ÑÐ¾ÐºÐ¾ Ð²Ð¾ÑÑÑÐµÐ±Ð¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð½Ð° Ð¿ÑÐ°ÐºÑÐ¸ÐºÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸ SST ÐÐµÐ½ÑÐµÑÐ°. Ð¡ÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸ Ð¸ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐ¼ ÑÐµÑÐµÐ½Ð¸ÐµÐ¼, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐ¼ ÑÐ°Ð½ÐµÐµ Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÑÐºÐ¾Ð³Ð¾ ÐºÐ¾Ð´Ð° Flag-S Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ¾Ð¹ Ð¶Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¾ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð¾ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ Ð¿Ð¾ ÐºÐ°ÑÑÐ¸Ð½Ð°Ð¼ Ð¸Ð·Ð¾Ð»Ð¸Ð½Ð¸Ð¹ ÑÐ°ÑÑÐ¾Ð´Ð½Ð¾Ð¹ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸, Ð²ÐµÐºÑÐ¾ÑÐ½ÑÐ¼ Ð¿Ð¾Ð»ÑÐ¼ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ Ð²ÑÐ¾ÑÐ¸ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¸ Ð¸Ð½ÑÐµÐ½ÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸ Ð² Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¸Ñ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸ÑÑ ÑÑÑÐ±Ñ. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¾ Ð¸ ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¾ Ñ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹ Ð¸ ÑÐ°ÑÑÐµÑÐ° ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð²Ð´Ð¾Ð»Ñ ÑÑÐµÐ½ÐºÐ¸ ÑÑÑÐ±Ñ. ÐÐ¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð² ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð»Ñ Ð¸ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ ÑÐ¾ÑÐ¾ÑÐ¾ ÑÐ¾Ð³Ð»Ð°ÑÑÑÑÑÑ Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸ Ð¸ ÑÐ°ÑÑÐµÑÐ°Ð¼Ð¸ ÐºÐ¾Ð´Ð¾Ð¼ Flag-S.
description: The subject of the graduate qualification work is âNumerical modeling of turbulent flow in a 90-degree bend pipe on the base of the OpenFOAM packageâ. This work is devoted to the implementation of a three-dimensional stationary numerical simulation of turbulent flow in a round 90-degree bend pipe is based on the freely distributed CFD package OpenFOAM. Tasks that were in this study: 1. Preparation of computational problem statements for laminar and turbulent flows in a round 90-degree bend pipe. 2. Verification calculation in a stationary laminar setting using the OpenFOAM. 3. Carrying out the basic calculation of a turbulent flow in a stationary formulation by the RANS method using the Menterâs SST turbulence model which is widely demanded in practice. 4. Comparison of the obtained solution with the experimental data and the numerical solution obtained earlier using the Flag-S research code using the same turbulence model. As a result, the turbulent flow was analyzed using the patterns of longitudinal velocity contours, the vector fields of the velocity of secondary flows, and the intensity of turbulence in several cross sections of the pipe. The distribution of the pressure coefficient along the pipe wall is also plotted and compared with experiment and computational data. It was shown that the fields and characteristics of the flow obtained in modeling are in good agreement with the experimental data and the calculations obtained earlier using the Flag-S code.