title: Ð Ð°ÑÑÐµÑ Ð²ÑÐ¾ÑÐ¸ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¸ ÐºÐ¾Ð½ÑÐµÐ²ÑÑ Ð¿Ð¾ÑÐµÑÑ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð² Ð¼Ð¾Ð´ÐµÐ»ÑÐ½ÑÑ ÐºÐ¾Ð»ÐµÑÐ°Ñ ÑÐ°Ð´Ð¸Ð°Ð»ÑÐ½Ð¾-Ð¾ÑÐµÐ²ÑÑ ÑÑÑÐ±Ð¾Ð¼Ð°ÑÐ¸Ð½
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Calculation of secondary flow and end pressure losses in model impellers of radial-axis turbomachines
Creators: name: ÐÐ¸Ð½Ð¾Ð³ÑÐ°Ð´Ð¾Ð², ÐÐ°ÐºÑÐ¸Ð¼
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: 2023
Subjects: Ð¢ÑÑÐ±Ð¾Ð¼Ð°ÑÐ¸Ð½Ñ Ð¾ÑÐµÐ²ÑÐµ
Ð¢ÑÑÐ±Ð¾Ð¼Ð°ÑÐ¸Ð½Ñ
ÐÐ°ÑÐ¾ÑÑ ÑÐµÐ½ÑÑÐ¾Ð±ÐµÐ¶Ð½ÑÐµ
Ð²ÑÐ¾ÑÐ¸ÑÐ½ÑÐµ ÑÐµÑÐµÐ½Ð¸Ñ
ÐºÐ¾Ð½ÑÐµÐ²ÑÐµ Ð¿Ð¾ÑÐµÑÐ¸
Ð¼Ð¾Ð´ÐµÐ»ÑÐ½Ð¾Ðµ ÐºÐ¾Ð»ÐµÑÐ¾
secondary flows
losses
model impeller

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²ÑÐ¾ÑÐ¸ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¸ ÐºÐ¾Ð½ÑÐµÐ²ÑÑ Ð¿Ð¾ÑÐµÑÑ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð² Ð¼Ð¾Ð´ÐµÐ»ÑÐ½Ð¾Ð¼ ÐºÐ¾Ð»ÐµÑÐµ ÑÐµÐ½ÑÑÐ¾Ð±ÐµÐ¶Ð½Ð¾Ð³Ð¾ Ð½Ð°ÑÐ¾Ñ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ÑÐ¾ÑÐ°Ð±Ð¾ÑÐºÐ° Ð»Ð¸ÑÐµÑÐ°ÑÑÑÐ½ÑÑ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¾Ð², Ð¾ÑÐ²ÐµÑÐ°ÑÑÐ¸Ñ Ð²Ð¾Ð¿ÑÐ¾ÑÑ ÑÐµÐ¾ÑÐ¸Ð¸ Ð¸ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¸ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð² Ð¼Ð¾Ð´ÐµÐ»ÑÐ½ÑÑ ÐºÐ¾Ð»ÐµÑÐ°Ñ ÑÐ°Ð´Ð¸Ð°Ð»ÑÐ½Ð¾-Ð¾ÑÐµÐ²ÑÑ ÑÑÑÐ±Ð¾Ð¼Ð°ÑÐ¸Ð½. 2. ÐÐ¿Ð¸ÑÐ°Ð½Ð¸Ðµ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¾ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð² Ð¼Ð¾Ð´ÐµÐ»ÑÐ½Ð¾Ð¼ ÐºÐ¾Ð»ÐµÑÐµ Howard et al. 3. Ð¤Ð¾ÑÐ¼ÑÐ»Ð¸ÑÐ¾Ð²ÐºÐ° Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÑÑÐ¸Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÐ¼Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¸ Ð³ÑÐ°Ð½Ð¸ÑÐ½ÑÑ ÑÑÐ»Ð¾Ð²Ð¸Ð¹. 4. Ð¢ÐµÑÑÐ¾Ð²ÑÐµ ÑÐ°ÑÑÐµÑÑ Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð¾Ð¼ Ð²ÑÐ¾ÑÐ¸ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¸ ÐºÐ¾Ð½ÑÐµÐ²ÑÑ Ð¿Ð¾ÑÐµÑÑ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ. 5. Ð¡Ð¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸ Ð¸ Ð¾Ð¿ÑÑÐ¾Ð¼ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð½ÑÑ ÑÐ°Ð½ÐµÐµ ÑÐ°ÑÑÐµÑÐ¾Ð². 6. ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ðµ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ½ÑÑ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð´Ð»Ñ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÐ¼Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸: Ð²Ð°ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð·Ð°ÐºÑÑÑÐºÐ¸ Ð¿Ð¾ÑÐ¾ÐºÐ° Ð½Ð° Ð²ÑÐ¾Ð´Ðµ Ð² ÑÐ°ÑÑÐµÑÐ½ÑÑ Ð¾Ð±Ð»Ð°ÑÑÑ Ð¸ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ ÑÐ°ÑÑÐ¾Ð´Ð°. Ð ÑÐ°Ð±Ð¾ÑÐµ Ð¿Ð¾Ð´ÑÐ¾Ð±Ð½Ð¾ Ð¾Ð¿Ð¸ÑÐ°Ð½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð·Ð´Ð°Ð½Ð¸Ñ ÑÑÐ»Ð¾Ð²Ð¸Ð¹ ÑÐ°ÑÑÐµÑÐ° Ð² Ð¿ÑÐµÐ¿ÑÐ¾ÑÐµÑÑÐ¾ÑÐµ ANSYS CFX-PRE Ð´Ð»Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÑÐ½Ð¾Ð¼ ÐºÐ¾Ð»ÐµÑÐµ Howard et al. ÐÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐµÑÐ¸Ð¸ ÑÐ°ÑÑÐµÑÐ¾Ð² Ñ Ð²Ð°ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ°ÑÑÐ¾Ð´Ð° Ð¸ ÑÐ³Ð»Ð¾Ð¼ Ð·Ð°ÐºÑÑÑÐºÐ¸ Ð¿Ð¾ÑÐ¾ÐºÐ° Ð½Ð° Ð²ÑÐ¾Ð´Ðµ Ð² ÑÐ°ÑÑÐµÑÐ½ÑÑ Ð¾Ð±Ð»Ð°ÑÑÑ. ÐÐ¸Ð·ÑÐ°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐµ Ð² Ð¿Ð¾ÑÑÐ¿ÑÐ¾ÑÐµÑÑÐ¾ÑÐµ ANSYS CFX-POST ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð´Ð°ÑÑ Ð½Ð°Ð³Ð»ÑÐ´Ð½Ð¾Ðµ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ Ð¾ Ð²ÑÐ¾ÑÐ¸ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸ÑÑ Ð² Ð¼ÐµÐ¶Ð»Ð¾Ð¿Ð°ÑÐ¾ÑÐ½Ð¾Ð¼ ÐºÐ°Ð½Ð°Ð»Ðµ ÑÐ°Ð´Ð¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÐºÐ¾Ð»ÐµÑÐ° Ð½Ð°ÑÐ¾ÑÐ°.
description: This work is devoted to research of secondary flow and end pressure losses in a model impeller of a centrifugal pump. The tasks that were solved during the study are: 1. Review of literature sources covering theory and results of experimental and numerical simulation of flows in model impellers of radial-axis turbomachines; 2. Description of the formulation of the flow problem in a Howard et al model impeller; 3. Formulation of constitutive equations and boundary conditions of the model; 4. Test calculations with analysis of secondary flows and end pressure losses; 5. Comparison of results with experimental data and experience from previous calculations; 6. Making alternative calculations for the problem in question: varying the swirl of the flow at the entrance to the calculation domain and variation of mass flow rate value. The algorithm of building calculation conditions in the ANSYS CFX-PRE preprocessor for model impeller modeling was described in detail. A series of calculations with varying the flow rate and the swirl angle of the flow at the inlet area were performed. The calculation results visualized in the ANSYS CFX-POST postprocessor provide a visual representation of the secondary flows in the passage of a radial pump impeller.