title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð±ÐµÑÐ¾Ð½Ð½Ð¾Ð¹ ÑÐ¿Ð¸ÑÐ°Ð»ÑÐ½Ð¾Ð¹ ÐºÐ°Ð¼ÐµÑÑ Ð³Ð¸Ð´ÑÐ¾ÑÑÑÐ±Ð¸Ð½Ñ
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: Development of a program for engineering design of a semi-spiral case of a hydroturbine
Creators: name: ÐÐ°Ð»ÐµÐµÐ², ÐÑÑÐµÐ¼
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: 2020
Subjects: Ð³Ð¸Ð´ÑÐ¾ÑÑÑÐ±Ð¸Ð½Ð°
ÑÐ¿Ð¸ÑÐ°Ð»ÑÐ½Ð°Ñ ÐºÐ°Ð¼ÐµÑÐ°
ÑÑÐ°ÑÐ¾ÑÐ½Ð°Ñ ÐºÐ¾Ð»Ð¾Ð½Ð½Ð°
Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ
ANSYS CFX
hydroturbine
spiral case
stay vane
engineering design
flow simulation

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ ÑÐ¾Ð·Ð´Ð°Ð½Ð° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð° Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð±ÐµÑÐ¾Ð½Ð½ÑÑ ÑÐ¿Ð¸ÑÐ°Ð»ÑÐ½ÑÑ ÐºÐ°Ð¼ÐµÑ Ð³Ð¸Ð´ÑÐ¾ÑÑÑÐ±Ð¸Ð½ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ñ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¹. Ð¢ÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð±Ð°Ð·Ð¾Ð¹ ÑÐ»ÑÐ¶Ð¸Ð»Ð° Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ° Ð³Ð¸Ð´ÑÐ°Ð²Ð»Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ°ÑÑÑÑÐ° ÑÐ¿Ð¸ÑÐ°Ð»ÑÐ½ÑÑ ÐºÐ°Ð¼ÐµÑ. ÐÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»ÑÑ Ð²ÑÑÐ¾ÐºÐ¾ÑÑÐ¾Ð²Ð½ÐµÐ²ÑÐ¹ ÑÐ·ÑÐº Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Python. 
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CFD-Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐ¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÐ¿Ð¸ÑÐ°Ð»ÑÐ½Ð¾Ð¹ ÐºÐ°Ð¼ÐµÑÑ Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐ¼Ð¸ Ð¿ÑÐ¾ÑÐ¸Ð»ÑÐ¼Ð¸ ÐºÐ¾Ð»Ð¾Ð½Ð½ ÑÑÐ°ÑÐ¾ÑÐ° Ð¿Ð¾ÐºÐ°Ð·Ð°Ð» Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸Ðµ ÐµÑ Ð³Ð¸Ð´ÑÐ°Ð²Ð»Ð¸ÑÐµÑÐºÐ¸Ñ ÐºÐ°ÑÐµÑÑÐ² Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ Ð¸ÑÑÐ¾Ð´Ð½Ð¾Ð¹.
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description: In this work, a program for the design of semi-spiral case of hydraulic turbines of various geometric configurations is created. The theoretical basis was the method of hydraulic calculation of spiral cases. The high-level programming language Python was used.
When developing the program, two methods of designing a spiral channel are implemented:
 Design of sections based on the condition Î´_sp=const calculated for the input section;
 Designing according to user-defined speed factors for each of the sections.
For the analysis of existing spiral cases, the program provides for the possibility of hydrodynamic calculation of the spiral channel of given proportions.
The work notes the difficulties encountered in designing the stay vanes in the open part of the semi-spiral case and considers the possibility of their âtightening up according to the results of CFD-analysis. Based on the results of the flow simulation, the profiles of three stay vanes in the initial spiral case were adjusted, what made it possible to reduce the value of hydraulic losses.
In the process, using the created program, a new spiral case was designed. A design method based on user-specified speed coefficients for each of the sections was used, what made it possible to fulfill the condition for the speed coefficient n&lt;1,4Ã·1,5 in the nose vane of the spiral case.
CFD-analysis of the designed spiral case with optimized stay vanes profiles showed an increase in its hydraulic qualities compared to the initial one.
The created program automates the design process of concrete spiral cases, what determines its practical applicability both for educational and production purposes.