Optimization Design of Lattice Structures in Internal Cooling Channel of Turbine Blade
Recently, the inlet temperatures in gas turbine units have been drastically increased, which extremely affects the lifespan of gas turbine blades. Traditional cooling structures greatly improve the high temperature resistance of the blade; however, these structures scarcely concern both heat transfe...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-06-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/11/13/5838 |
| _version_ | 1797529047375282176 |
|---|---|
| author | Liang Xu Qingyun Shen Qicheng Ruan Lei Xi Jianmin Gao Yunlong Li |
| author_facet | Liang Xu Qingyun Shen Qicheng Ruan Lei Xi Jianmin Gao Yunlong Li |
| author_sort | Liang Xu |
| collection | DOAJ |
| description | Recently, the inlet temperatures in gas turbine units have been drastically increased, which extremely affects the lifespan of gas turbine blades. Traditional cooling structures greatly improve the high temperature resistance of the blade; however, these structures scarcely concern both heat transfer and mechanical performances. Lattice structure (LS) can realize these requirements because of its characteristics of light weight, high strength, and porosity. Although the topology of LS is complex, it can be manufactured with the 3D metal printing technology. In this study, an integral optimization method of lattice cooling structure, used at the trailing edge of turbine blades, concerned with heat transfer and mechanical performance, was presented. Firstly, functions between the first-order natural frequency (<i>freq</i>1), elasticity modulus (<i>E</i>), relative density (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi>ρ</mi><mo stretchy="true">¯</mo></mover></mrow></semantics></math></inline-formula>), and Nusselt number (<i>Nu</i>), and the geometric variables of pyramid type LS (PLS) and X-type LS (XLS) were established, and the reliability of these functions was verified. Then, a mathematical optimization model was developed based on these functions which contained two selected optimization problems. Finally, relations among objectives were analyzed; influence law of geometric variables to objectives were discussed, and the accuracy of the optimal LS was proved by experiment and numerical simulation. The optimization results suggest that, compared to the initial LS, <i>Nu</i> increases by 24.1% and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi>ρ</mi><mo stretchy="true">¯</mo></mover></mrow></semantics></math></inline-formula> decreases by 31% in the optimal LS of the first selected problem, and the <i>Nu</i> increases by 28.8% while <i>freq</i>1 and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi>ρ</mi><mo stretchy="true">¯</mo></mover></mrow></semantics></math></inline-formula> are almost unchanged in the optimal LS of the second selected problem compared to the initial LS. This study may provide a guidance for functions integration design of lattice cooling structures used at turbine blades based on 3D printing. |
| first_indexed | 2024-03-10T10:07:56Z |
| format | Article |
| id | doaj.art-dd3a72bba8124a26b32ccecabaff9764 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T10:07:56Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-dd3a72bba8124a26b32ccecabaff97642023-11-22T01:25:59ZengMDPI AGApplied Sciences2076-34172021-06-011113583810.3390/app11135838Optimization Design of Lattice Structures in Internal Cooling Channel of Turbine BladeLiang Xu0Qingyun Shen1Qicheng Ruan2Lei Xi3Jianmin Gao4Yunlong Li5State Key Laboratory of Mechanical Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory of Mechanical Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory of Mechanical Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory of Mechanical Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory of Mechanical Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory of Mechanical Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaRecently, the inlet temperatures in gas turbine units have been drastically increased, which extremely affects the lifespan of gas turbine blades. Traditional cooling structures greatly improve the high temperature resistance of the blade; however, these structures scarcely concern both heat transfer and mechanical performances. Lattice structure (LS) can realize these requirements because of its characteristics of light weight, high strength, and porosity. Although the topology of LS is complex, it can be manufactured with the 3D metal printing technology. In this study, an integral optimization method of lattice cooling structure, used at the trailing edge of turbine blades, concerned with heat transfer and mechanical performance, was presented. Firstly, functions between the first-order natural frequency (<i>freq</i>1), elasticity modulus (<i>E</i>), relative density (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi>ρ</mi><mo stretchy="true">¯</mo></mover></mrow></semantics></math></inline-formula>), and Nusselt number (<i>Nu</i>), and the geometric variables of pyramid type LS (PLS) and X-type LS (XLS) were established, and the reliability of these functions was verified. Then, a mathematical optimization model was developed based on these functions which contained two selected optimization problems. Finally, relations among objectives were analyzed; influence law of geometric variables to objectives were discussed, and the accuracy of the optimal LS was proved by experiment and numerical simulation. The optimization results suggest that, compared to the initial LS, <i>Nu</i> increases by 24.1% and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi>ρ</mi><mo stretchy="true">¯</mo></mover></mrow></semantics></math></inline-formula> decreases by 31% in the optimal LS of the first selected problem, and the <i>Nu</i> increases by 28.8% while <i>freq</i>1 and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi>ρ</mi><mo stretchy="true">¯</mo></mover></mrow></semantics></math></inline-formula> are almost unchanged in the optimal LS of the second selected problem compared to the initial LS. This study may provide a guidance for functions integration design of lattice cooling structures used at turbine blades based on 3D printing.https://www.mdpi.com/2076-3417/11/13/5838lattice cooling structureheat transfer and mechanical performancesintegral optimization methodfunctions integration design |
| spellingShingle | Liang Xu Qingyun Shen Qicheng Ruan Lei Xi Jianmin Gao Yunlong Li Optimization Design of Lattice Structures in Internal Cooling Channel of Turbine Blade Applied Sciences lattice cooling structure heat transfer and mechanical performances integral optimization method functions integration design |
| title | Optimization Design of Lattice Structures in Internal Cooling Channel of Turbine Blade |
| title_full | Optimization Design of Lattice Structures in Internal Cooling Channel of Turbine Blade |
| title_fullStr | Optimization Design of Lattice Structures in Internal Cooling Channel of Turbine Blade |
| title_full_unstemmed | Optimization Design of Lattice Structures in Internal Cooling Channel of Turbine Blade |
| title_short | Optimization Design of Lattice Structures in Internal Cooling Channel of Turbine Blade |
| title_sort | optimization design of lattice structures in internal cooling channel of turbine blade |
| topic | lattice cooling structure heat transfer and mechanical performances integral optimization method functions integration design |
| url | https://www.mdpi.com/2076-3417/11/13/5838 |
| work_keys_str_mv | AT liangxu optimizationdesignoflatticestructuresininternalcoolingchannelofturbineblade AT qingyunshen optimizationdesignoflatticestructuresininternalcoolingchannelofturbineblade AT qichengruan optimizationdesignoflatticestructuresininternalcoolingchannelofturbineblade AT leixi optimizationdesignoflatticestructuresininternalcoolingchannelofturbineblade AT jianmingao optimizationdesignoflatticestructuresininternalcoolingchannelofturbineblade AT yunlongli optimizationdesignoflatticestructuresininternalcoolingchannelofturbineblade |