title: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð²ÑÐ·ÐºÐ¾Ð¹ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸ Ð² Ð¿ÑÐ¾ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÐ°ÑÑÐ¸ Ð¾ÑÐµÐ²Ð¾Ð³Ð¾ Ð½Ð°ÑÐ¾ÑÐ° ÑÐ¸Ð¿Ð° Ð-1170
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: Mathematical modeling of the flow of viscous liquid in the flow part of the axial pump type L-1170
Creators: name: ÐÐ²Ð°Ð½Ð¾Ð², ÐÐ»ÐµÐ³
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: Ð¾ÑÐµÐ²Ð¾Ð¹ Ð½Ð°ÑÐ¾Ñ
Ð½Ð°ÑÐ¾Ñ 3d-Ð¼Ð¾Ð´ÐµÐ»Ñ
ÑÐµÑÐºÐ°
Ð¿ÑÐ¾ÑÐ¾ÑÐ½Ð°Ñ ÑÐ°ÑÑÑ
ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸
ÐºÐ°Ð²Ð¸ÑÐ°ÑÐ¸Ñ
axial pump
pump
3d-model
grid
flow part
solidwroks
icem cfd
turbogrid
ansys cfx
ansys meshing
energy charactetristics
cavitation

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð²ÑÐ·ÐºÐ¾Ð¹ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸ Ð² Ð¿ÑÐ¾ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÐ°ÑÑÐ¸ Ð¾ÑÐµÐ²Ð¾Ð³Ð¾ Ð½Ð°ÑÐ¾ÑÐ° ÑÐ¸Ð¿Ð° Ð-1170. Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð±ÑÐ»Ð¾ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð²ÑÐ·ÐºÐ¾Ð¹ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸ Ð² Ð¿ÑÐ¾ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÐ°ÑÑÐ¸ Ð¾ÑÐµÐ²Ð¾Ð³Ð¾ Ð½Ð°ÑÐ¾ÑÐ° Ð-1170. Ð¢Ð°Ðº Ð¶Ðµ ÑÑÐ° Ð¿ÑÐ¾ÑÐ¾ÑÐ½Ð°Ñ ÑÐ°ÑÑÑ Ð±ÑÐ»Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð° Ð½Ð° Ð¿ÑÐ¾ÑÐ½Ð¾ÑÑÑ, Ð½Ð° ÐºÐ°Ð²Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÐµ ÐºÐ°ÑÐµÑÑÐ²Ð° Ð¸ Ð³Ð¸Ð´ÑÐ¾Ð°Ð±ÑÐ¾Ð·Ð¸Ð²Ð½ÑÐµ ÐºÐ°ÑÐµÑÑÐ²Ð°. ÐÐ¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð½ÑÐµ Ð·Ð°Ð´Ð°ÑÐ¸ ÑÐµÑÐµÐ½Ñ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¾Ð²Ð¾ÐºÑÐ¿Ð½Ð¾ÑÑÐ¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ Ð³Ð¸Ð´ÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸, Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¸ Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð´Ð°Ð½Ð½ÑÑ. ÐÐ»Ñ Ð²ÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð´Ð°Ð½Ð½ÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ°ÑÑÐµÑÑ Ð±ÑÐ»Ð¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð½Ð° Ð²Ð¾Ð´ÑÐ½Ð¾Ð¼ ÑÑÐµÐ½Ð´Ðµ ÐºÐ°ÑÐµÐ´ÑÑ ÐÐ¸Ð´ÑÐ¾Ð¼Ð°ÑÐ¸Ð½Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð¡ÐÐÐÐ£. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ ÑÐ°ÑÑÐµÑÐ½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð½Ð° ÑÐ°Ð·Ð½ÑÑ ÑÐ¸Ð¿Ð°Ñ ÑÐµÑÐºÐ¸: ÑÑÑÑÐºÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð°Ñ Ð¸ Ð½ÐµÑÑÑÑÐºÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð°Ñ. ÐÐ»Ñ Ð´Ð¸ÑÐºÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ°ÑÑÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÑÐ»Ð¸ÑÑ ÑÐµÑÐ¾ÑÐ½ÑÐµ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÑ: Â«ICEM CFDÂ» Ð¸ Â«TurboGridÂ». ÐÐ»Ñ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¿ÑÐ¾ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÐ°ÑÑÐ¸ Ð½Ð°ÑÐ¾ÑÐ° Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð°ÑÑ ÑÑÐ°Ð½Ð´Ð°ÑÑÐ½Ð°Ñ Ð´Ð²ÑÑÐ¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ°Ñ Ðº-Ðµ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸, Ð° Ð´Ð»Ñ ÑÐ°ÑÑÐµÑÐ° Ð¿ÑÐ¸ÑÑÐµÐ½Ð¾ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¿ÑÐ¸ÑÑÐµÐ½Ð¾ÑÐ½ÑÐµ ÑÑÐ½ÐºÑÐ¸Ð¸. ÐÑÐ¸Ð¼ÐµÐ½ÑÐ»Ð¸ÑÑ Ð³ÑÐ°Ð½Ð¸ÑÐ½ÑÐµ ÑÑÐ»Ð¾Ð²Ð¸Ñ ÑÐ°ÑÐ°ÐºÑÐµÑÐ½ÑÐµ Ð´Ð»Ñ Ð»Ð¾Ð¿Ð°ÑÑÐ½ÑÑ Ð½Ð°ÑÐ¾ÑÐ¾Ð², ÑÐ¾ ÐµÑÑÑ Ð¿Ð¾Ð»Ð½Ð°Ñ ÑÐ½ÐµÑÐ³Ð¸Ñ Ð½Ð° Ð²ÑÐ¾Ð´Ðµ Ð¸ Ð¼Ð°ÑÑÐ¾Ð²ÑÐ¹ ÑÐ°ÑÑÐ¾Ð´ Ð½Ð° Ð²ÑÑÐ¾Ð´Ðµ ÑÐ°ÑÑÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸, Ð¿ÑÐ¸ ÑÑÐ»Ð¾Ð²Ð¸Ðµ Ð¿ÐµÑÐ¸Ð¾Ð´Ð¸ÑÐ½Ð¾ÑÑÐ¸ ÑÐ¾Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ñ Ð²ÑÐ°ÑÐ°ÑÑÐ¸ÑÑÑ Ð¸ Ð½ÐµÐ¿Ð¾Ð´Ð²Ð¸Ð¶Ð½ÑÑ ÑÐ°ÑÑÐµÐ¹ Ð¿ÑÐ¾ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÐ°ÑÑÐ¸. ÐÐµÑÐ¸Ð¾Ð´Ð¸ÑÐ½Ð¾ÑÑÑ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð¸Ð»Ð¾ÑÑ, Ð·Ð° ÑÑÐµÑ Ð¾ÑÑÐµÐ´Ð½ÐµÐ½Ð¸Ñ Ð»Ð¾ÐºÐ°Ð»ÑÐ½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¿Ð¾ÑÐ¾ÐºÐ° (Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ðµ) Ð½Ð° Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÑÑ Ð¸Ð½ÑÐµÑÑÐµÐ¹ÑÐ°. ÐÐ¾ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð´Ð°Ð½Ð° ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐ¸Ñ Ð´Ð»Ñ Ð¾ÑÐµÐ²ÑÑ Ð½Ð°ÑÐ¾ÑÐ¾Ð² Ð´Ð°Ð½Ð½Ð¾Ð¹ Ð±ÑÑÑÑÐ¾ÑÐ¾Ð´Ð½Ð¾ÑÑÐ¸ Ð¿Ð¾ Ð´Ð¸ÑÐºÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ°ÑÑÐµÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÑÑÑÐºÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÐµÑÐºÐ¸. Ð¢Ð°ÐºÐ¶Ðµ Ñ Ð´Ð°Ð½Ð½ÑÐ¼ Ð½Ð°ÑÐ¾ÑÐ¾Ð¼ Ð±ÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ð¿ÑÐ¾ÑÐ½Ð¾ÑÑÐ½ÑÐµ ÑÐ°ÑÑÐµÑÑ, ÐºÐ¾ÑÐ¾ÑÑÐµ Ð²ÑÑÐ²Ð¸Ð»Ð¸ ÑÐµÐ¼Ð¸ÐºÑÐ°ÑÐ½ÑÐ¹ Ð·Ð°Ð¿Ð°Ñ Ð¿Ð¾ Ð¿ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸. ÐÑÑÑÐ¸Ðµ ÐºÐ°Ð²Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÐµ ÐºÐ°ÑÐµÑÑÐ²Ð° Ð½Ð°Ð±Ð»ÑÐ´Ð°ÑÑÑÑ Ð¿ÑÐ¸ ÑÐ³Ð»Ðµ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ 0 Ð³ÑÐ°Ð´ÑÑÐ¾Ð², Ð° Ð»ÑÑÑÐ¸Ðµ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»Ð¸ Ð½Ð°Ð±Ð»ÑÐ´Ð°ÑÑÑÑ Ð¿ÑÐ¸ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐµ ÑÐ³Ð»Ð° Ð² 5 Ð³ÑÐ°Ð´ÑÑÐ¾Ð².
description: The topic of the final qualifying work: Mathematical modeling of the flow of viscous liquid in the flow part of the axial pump type L-1170. In this work, a study of the flow of viscous liquid in the flow part of the axial pump L-1170 was carried out. Also, this flow part was tested for strength, cavitation qualities and waterjet qualities. The tasks are solved on the basis of using a set of methods of computational fluid dynamics, data processing and analysis. To verify the numerical calculation data, experimental data obtained at the water stand of the Department of Hydraulic Engineering of SPBPU were used. Computational models on different types of grid are considered: structured and unstructured. Grid generators Â«ICEM CFDÂ» and Â«TurboGridÂ» were used to discretize the computational domain. A standard two-parameter k-e turbulence model was used to describe the flow in the flow part of the pump, and wall functions were used to calculate wall flows. The boundary conditions characteristic of vane pumps were applied, that is, the total energy at the inlet and the mass flow rate at the outlet of the design area, under the periodicity condition, the coupling of rotating and stationary parts of the flow part was performed by averaging the local flow parameters (pressure) on the interface surface. Based on the results of the research, a recommendation is given for axial pumps of this speed for the discretization of a computational model based on a structured grid. Also, strength calculations were carried out with this pump, which revealed a sevenfold margin of safety. The best cavitation qualities are observed at an installation angle of 0 degrees, and the best energy performance is observed at an installation angle of 5 degrees.