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public:modeles:rotor_12:accueil [2022/09/16 10:15] – supprimée - modification externe (Unknown date) 127.0.0.1 | public:modeles:rotor_12:accueil [2023/04/05 09:04] (Version actuelle) – modification externe 127.0.0.1 | ||
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+ | ====== Rotor 12 ====== | ||
+ | |||
+ | < | ||
+ | * [[# | ||
+ | * [[# | ||
+ | <pane id=" | ||
+ | |||
+ | <btn type=" | ||
+ | <modal id=" | ||
+ | **[[https:// | ||
+ | </ | ||
+ | ===== About ===== | ||
+ | |||
+ | Rotor 12 is part of a research program to study the effects of blade row solidity on efficiency and stall margin of an axial-flow compressor rotor. It is one of a series of rotors designed to further study the effects of solidity : rotor 8 with a tip solidity of 1.5, rotor 12 with a tip solidity of 1.7 and rotor 14 with a tip solidity of 1.3. Tip solidity are being changed by varying the number of blades while maintaining the same velocity diagrams and flow path. These stages were designed such that the tip solidity of both the rotor and stator blades are the same. | ||
+ | |||
+ | * Original technical report [(cite: | ||
+ | author | ||
+ | date = {1972}, | ||
+ | institution | ||
+ | title = {Performance of a single-stage transonic compressor with a blade-tip solidity of 1.7}, | ||
+ | number | ||
+ | url = {https:// | ||
+ | } | ||
+ | </ | ||
+ | * Picture : | ||
+ | {{ : | ||
+ | < | ||
+ | |||
+ | |||
+ | <callout type=" | ||
+ | * [[https:// | ||
+ | * {{ : | ||
+ | * {{ : | ||
+ | </ | ||
+ | |||
+ | |||
+ | ===== Reference blade ===== | ||
+ | |||
+ | The **reference blade** is defined with multiple-circular arc profiles[(cite: | ||
+ | |||
+ | ==== Geometry ==== | ||
+ | |||
+ | The geometry of rotor 12 is described in the [[https:// | ||
+ | {{ : | ||
+ | |||
+ | ==== Aerodynamic design | ||
+ | |||
+ | ^ ^ unit ^ value ^ | ||
+ | ^ pressure ratio | [-] | 1.75 | | ||
+ | ^ mass flow | ||
+ | ^ tip speed | ||
+ | ^ tip solidity | ||
+ | ^ aspect ratio | [-] | 2.4 | | ||
+ | ^ number of blades | ||
+ | ^ rotative speed | [rad/ | ||
+ | |||
+ | ==== Material properties | ||
+ | |||
+ | The material of rotor 12 is not defined in the original NASA report. A 200-grade maraging steel is considered: | ||
+ | |||
+ | ^ | ||
+ | ^ alloy | [-] | 18-Ni-200-maraging | ||
+ | ^ Young' | ||
+ | ^ density | ||
+ | ^ Poisson' | ||
+ | ^ yield stress | ||
+ | |||
+ | |||
+ | ==== CAD model ==== | ||
+ | |||
+ | The CAD model is computed with the open source code OpenMCAD[(cite: | ||
+ | |||
+ | < | ||
+ | <col md=" | ||
+ | </ | ||
+ | <col md=" | ||
+ | {{ : | ||
+ | < | ||
+ | </ | ||
+ | <col md=" | ||
+ | {{ : | ||
+ | < | ||
+ | </ | ||
+ | <col md=" | ||
+ | </ | ||
+ | </ | ||
+ | |||
+ | |||
+ | ==== Natural frequencies ==== | ||
+ | |||
+ | |||
+ | First three natural frequencies (with clamped root) for the mesh computed with OpenMCAD[(cite: | ||
+ | |||
+ | ^ Mode ^ Type ^ Natural angular frequency (rad/ | ||
+ | | 1 | 1B | 1655.46 | ||
+ | | 2 | 2B | 5955.84 | ||
+ | | 3 | 1T | 8466.78 | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | ===== Initial blade ===== | ||
+ | |||
+ | The **initial blade** is defined with in-house LAVA parameters[(cite: | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | ==== Natural frequencies ==== | ||
+ | |||
+ | First three natural frequencies (with clamped root) | ||
+ | |||
+ | * from the whole mesh: | ||
+ | |||
+ | ^ Mode ^ Type ^ Natural angular frequency (rad/ | ||
+ | | 1 | 1B | 1654.05 | ||
+ | | 2 | 2B | 5951.13 | ||
+ | | 3 | 1T | 8470.80 | ||
+ | |||
+ | |||
+ | |||
+ | * from the reduced order model: | ||
+ | |||
+ | ^ Mode ^ Type ^ Natural angular frequency (rad/ | ||
+ | | 1 | 1B | 1654.12 | ||
+ | | 2 | 2B | 5953.62 | ||
+ | | 3 | 1T | 8473.76 | ||
+ | |||
+ | |||
+ | |||
+ | </ | ||
+ | |||
+ | <pane id=" | ||
+ | |||
+ | <btn type=" | ||
+ | <modal id=" | ||
+ | **[[https:// | ||
+ | </ | ||
+ | |||
+ | ===== À propos ===== | ||
+ | |||
+ | Le rotor 12 fait partie d'un programme de recherche visant à étudier les effets de la solidité des rangées d' | ||
+ | |||
+ | * Rapport technique original [(cite: | ||
+ | author | ||
+ | date = {1972}, | ||
+ | institution | ||
+ | title = {Performance of a single-stage transonic compressor with a blade-tip solidity of 1.7}, | ||
+ | number | ||
+ | url = {https:// | ||
+ | } | ||
+ | |||
+ | </ | ||
+ | * Photographie : | ||
+ | {{ : | ||
+ | < | ||
+ | |||
+ | |||
+ | <callout type=" | ||
+ | * [[https:// | ||
+ | * {{ : | ||
+ | * {{ : | ||
+ | </ | ||
+ | |||
+ | |||
+ | ===== Aube de référence ===== | ||
+ | |||
+ | L' | ||
+ | |||
+ | ==== Géométrie ==== | ||
+ | |||
+ | La géométrie du rotor 12 est décrite dans le [[https:// | ||
+ | |||
+ | {{ : | ||
+ | |||
+ | ==== Caractéristiques aérodynamiques | ||
+ | ^ ^ unités | ||
+ | ^ taux de compression | ||
+ | ^ débit massique | ||
+ | ^ vitesse en tête | [m/s] | 423 | | ||
+ | ^ solidité en tête | ||
+ | ^ allongement | ||
+ | ^ nombre d' | ||
+ | ^ vitesse de rotation | ||
+ | |||
+ | |||
+ | ==== Propriétés matériau | ||
+ | |||
+ | Le matériau original du rotor 12 n'est pas défini dans le rapport de la NASA. Un acier maraging de grade 200 est considéré: | ||
+ | |||
+ | ^ | ||
+ | ^ alliage | ||
+ | ^ module d' | ||
+ | ^ masse volumique | ||
+ | ^ coefficient de Poisson | ||
+ | ^ limite élastique | ||
+ | |||
+ | |||
+ | |||
+ | ==== Modèle CAO ==== | ||
+ | |||
+ | Le modèle CAO est obtenu avec OpenMCAD[(cite: | ||
+ | |||
+ | < | ||
+ | <col md=" | ||
+ | </ | ||
+ | <col md=" | ||
+ | {{ : | ||
+ | < | ||
+ | </ | ||
+ | <col md=" | ||
+ | {{ : | ||
+ | < | ||
+ | </ | ||
+ | <col md=" | ||
+ | </ | ||
+ | </ | ||
+ | |||
+ | ==== Fréquences propres ==== | ||
+ | |||
+ | Fréquences des trois premiers modes (noeuds du pied d'aube encastrés) pour le maillage obtenu avec OpenMCAD[(cite: | ||
+ | |||
+ | ^ Mode ^ Type ^ Pulsation propre (rad/ | ||
+ | | 1 | 1F | 1655, | ||
+ | | 2 | 2F | 5955, | ||
+ | | 3 | 1T | 8466, | ||
+ | |||
+ | |||
+ | ===== Aube initiale ===== | ||
+ | |||
+ | L' | ||
+ | |||
+ | |||
+ | ==== Fréquences propres ==== | ||
+ | Fréquences des trois premiers modes (noeuds du pied d'aube encastrés), | ||
+ | |||
+ | * pour le maillage complet : | ||
+ | |||
+ | ^ Mode ^ Type ^ Pulsation propre (rad/ | ||
+ | | 1 | 1F | 1654, | ||
+ | | 2 | 2F | 5951, | ||
+ | | 3 | 1T | 8470, | ||
+ | |||
+ | |||
+ | * pour le modèle réduit : | ||
+ | |||
+ | ^ Mode ^ Type ^ Pulsation propre (rad/ | ||
+ | | 1 | 1F | 1654, | ||
+ | | 2 | 2F | 5953, | ||
+ | | 3 | 1T | 8473, | ||
+ | |||
+ | |||
+ | |||
+ | </ | ||
+ | </ | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||