title: Ð¡Ð¾Ð²ÐµÑÑÐµÐ½ÑÑÐ²Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð»Ð°Ð±Ð¸ÑÐ¸Ð½ÑÐ½ÑÑ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸Ð¹ Ð¼Ð¸ÐºÑÐ¾ÑÑÑÐ±Ð¾Ð´ÐµÑÐ°Ð½Ð´ÐµÑÐ° Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ
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: Shape optimization of a turboexpander labyrinth seal applying the CFD method
Creators: name: Ð ÑÐ±ÑÐ¾Ð², ÐÐ²Ð°Ð½
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: Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ
Ð»Ð°Ð±Ð¸ÑÐ¸Ð½ÑÐ½Ð¾Ðµ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸Ðµ
ÑÑÑÐ±Ð¾Ð´ÐµÑÐ°Ð½Ð´ÐµÑ
CFD
Fluent Adjoint Solver
optimization
labyrinth seal
turboexpander

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¼Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÑÐ¿ÐµÐ½ÑÐ°ÑÐ¾Ð³Ð¾ Ð»Ð°Ð±Ð¸ÑÐ¸Ð½ÑÐ½Ð¾Ð³Ð¾ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸Ñ Ð¼Ð¸ÐºÑÐ¾ÑÑÑÐ±Ð¾Ð´ÐµÑÐ°Ð½Ð´ÐµÑÐ½Ð¾Ð¹ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð¼Ð¾ÑÐ½Ð¾ÑÑÑÑ 75 ÐºÐÑ. ÐÐ°Ð´Ð°ÑÐ¸, ÑÐµÑÐ°ÐµÐ¼ÑÐµ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÐ¾Ð¸ÑÐº Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð· Ð»Ð¸ÑÐµÑÐ°ÑÑÑÑ Ð¿Ð¾ ÑÐµÐ¼Ðµ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð² ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸ÑÑ, Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð¸ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐ¿Ð¾ÑÐ¾Ð±Ð¾Ð² Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð¿Ð¾Ð´Ð¾Ð±Ð½ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹; 2. ÐÐ¾Ð¸ÑÐº Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð· Ð»Ð¸ÑÐµÑÐ°ÑÑÑÑ Ð¿Ð¾ ÑÐµÐ¼Ðµ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸Ð¹; 3. ÐÐ¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸ ÑÑÑÐ¿ÐµÐ½ÑÐ°ÑÐ¾Ð³Ð¾ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸Ñ ÑÐ¾Ð¿Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ð¼ Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ð¼ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð² Ð»Ð°Ð±Ð¸ÑÐ¸Ð½ÑÐ½ÑÑ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð° ÑÐ°ÑÑÐµÑÐ½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð´Ð»Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð² ÑÑÑÐ¿ÐµÐ½ÑÐ°ÑÐ¾Ð¼ Ð»Ð°Ð±Ð¸ÑÐ¸Ð½ÑÐ½Ð¾Ð¼ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸Ð¸. CFD-ÑÐ°ÑÑÐµÑÑ Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»ÐµÐ¹ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ ÑÐ°Ð±Ð¾ÑÑ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾Ð²Ð¾Ð´ÑÑÑÑ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ð¸ ANSYS Fluent. Ð¢Ð¾Ð¿Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ°Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸ÑÑÑ Ð²Ð½ÑÑÑÐ¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ ANSYS Fluent Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ Ð¼Ð¾Ð´ÑÐ»Ñ Fluent Adjoint Solver. Ð ÑÐ»ÑÑÐ°Ðµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÑÑÑ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¿ÑÑÐ¸ Ð½ÐµÐ·Ð°Ð²Ð¸ÑÐ¸Ð¼ÑÑ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð², Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÑÑÑ MOGA (Multi-Objective Genetic Algorithm Ð¸Ð»Ð¸ Ð¼Ð½Ð¾Ð³Ð¾ÐºÑÐ¸ÑÐµÑÐ¸Ð°Ð»ÑÐ½ÑÐ¹ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼). Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ Ð´Ð²Ðµ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐµ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸ ÑÑÑÐ¿ÐµÐ½ÑÐ°ÑÐ¾Ð³Ð¾ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸Ñ Ñ ÑÐ»ÑÑÑÐµÐ½Ð½ÑÐ¼Ð¸ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»ÑÐ¼Ð¸. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¸ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Ð¿ÑÑÑ Ð¿ÑÐ¾Ð´Ð¾Ð»Ð¶ÐµÐ½Ð¸Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ.
description: In the given paper a shape optimization of a 75 kW microturboexpander plant stepped labyrinth seal is conducted. Tasks accomplished in the paper are the following: 1. Search and analysis of papers and works upon the subject of CFD labyrinth seal modeling, detecting and comparing different case setups applied; 2. Search and analysis of papers and works upon the subject of labyrinth seal shape optimization; 3. Stepped labyrinth seal shape topological and parameter optimization. A stepped labyrinth seal throughflow CFD case setup is made on a basis of previous researches analysis. The CFD simulations are performed by ANSYS Fluent computer code. The topological optimization is accomplished by means of Fluent Adjoint Solver. Five independent input parameters are used in the parameter optimization by the MOGA (Multi-Objective Genetic Algorithm). The study resulted in two optimized shape stepped seals with reduced leakage. An analysis is made on the results of the research and a way of developing further investigations upon the stepped seal is proposed.