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Conceptual Design of a Supersonic Jet Engine

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zero at the last stage stator outlet. The hade angle was selected to 21Β° in order to achieve a decent blade velocity at the first stage rotor hub exit. π‘€π‘Žπ‘₯,𝑖𝑛 has been set high to keep the area to a minimum.The low pressure shaft RPM was set to reach a 𝑀𝑑𝑖𝑝,π‘Ÿπ‘’π‘™ close to 1,45. The fan can be seen in figure 18. Table 6 shows some key fan data. Figure 19 shows the fan velocity triangles at the mean blade and table 7 shows the velocity triangles data at the mean blade. A full output of stage by stage performance can be found in appendix C. It can be seen in the appendix that the first stage hub velocity triangles are unrealistic. This is the result of a high stage loading at the hub due to a big enthalpy change and a low blade speed which indicates that the fan pressure ratio has to vary from a lower value at the hub region to a higher value at the tip. 𝑴𝒂𝒙,π’Šπ’ 𝑴𝒂𝒙,𝒐𝒖𝒕 π‘¨π‘Ήπ’Šπ’ 𝑨𝑹𝒐𝒖𝒕 𝑯𝒖𝒃/π‘»π’Šπ’‘ βˆ’ π’“π’‚π’•π’Šπ’π’Šπ’ 𝑯𝒖𝒃/π‘»π’Šπ’‘ βˆ’ π’“π’‚π’•π’Šπ’π’π’–π’• 𝑬𝑰𝑺 𝒔/𝒄 – π’“π’‚π’•π’Šπ’ 𝑯𝒂𝒅𝒆 π’‚π’π’ˆπ’π’†π’Šπ’ 0,65 π‘΅π’–π’Žπ’ƒπ’†π’“ 𝒐𝒇 π’”π’•π’‚π’ˆπ’†π’” 0,38 π‘¨π’—π’ˆ. 𝝍 2,40 π‘¨π’—π’ˆ. Ρ„ 2,30 π‘¨π’—π’ˆ. π‘»π’†π’Žπ’‘ π’“π’Šπ’”π’†π’”π’•π’‚π’ˆπ’† 0,27 πœΌπ’‘π’π’π’š 0,69 π‘΄π’•π’Šπ’‘,𝒓𝒆𝒍,π’Šπ’ 2025 𝑹𝑷𝑴/π‘Όπ’•π’Šπ’‘ 1,20 𝑻𝒐𝒕𝒂𝒍 π’π’†π’π’ˆπ’•π’‰ 21Β° 𝑴𝒂𝒙 π’…π’Šπ’‚π’Žπ’†π’•π’†π’“ Table 6: Key fan data 4 0,82 0,63 42,3𝐾 0,901 1,43 7000/455,15 0,9876π‘š 1,2418π‘š π‘Ίπ’•π’‚π’ˆπ’† 𝟏 𝟐 πŸ‘ πŸ’ 𝜷𝟏 𝜷𝟐 𝜢𝟏 𝜢𝟐 π‘ͺπ’‚πŸ π‘ͺπ’‚πŸ π‘ΌπŸ π‘ΌπŸ π‘½πŸ π‘½πŸ π‘ͺ𝟏 π‘ͺ𝟐 Ρ„ 𝝍 π‘«π’†π’‡π’π’†π’„π’•π’Šπ’π’ π‘Ήπ’†π’‚π’„π’•π’Šπ’π’ π‘«π’Šπ’‡π’‡π’–π’”π’Šπ’π’ 𝒅𝒆𝑯𝒂𝒍𝒍𝒆𝒓 π‘»π’†π’Žπ’‘. π’“π’Šπ’”π’† 53 52 56 58 34 27 34 39 0 12 13 22 34 45 47 50 222 212 222 212 290 321 303 331 365 348 269 239 222 217 269 300 0,77 0,66 0,94 0,89 18 25 0,74 0,60 0,34 0,46 0,74 0,69 39 45 197 177 197 177 340 351 346 353 356 331 238 226 202 190 286 274 0,58 0,50 0,79 0,65 22 19 0,63 0,60 0,47 0,47 0,67 0,68 45 39 Table 7: Fan velocity triangles data at mean blade Figure 19: Velocity triangles for the fan at mean blade 36

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