離心泵葉片為三維扭轉曲面，欲達到理想之葉片設計，除泵浦性能表現的考量外，亦需考慮葉片外形對泵浦結構強度、運轉穩定性之影響，以及葉輪是否方便製造或加工等問題。本文有鑑於此，將五軸創成加工法與數值曲線Rational B-Spline結合，建構離心泵之葉片外廓。因經由數值曲線所合成之離心泵葉片具有高度平滑性之緣故，不必透過耗時之最佳化步驟即可得到具優越流場特性之葉片外形，設計時間得以大幅縮減，且設計出之葉輪具有可快速進行五軸加工之特性。
　　除透過CFD軟體TASCflow計算離心泵之效能以評估設計之可行性外，為探討流體施加於葉片之負載對葉片結構造成之影響及葉片運轉時是否有共振現象的發生，本研究亦利用CATIA建立離心泵葉片之有限元素模型，對離心泵葉片進行結構分析及振模分析。於五軸加工方面，本研究以微分幾何對加工時過切、干涉等現象進行研判，並由刀具及加工機各軸於加工時所需運動量之計算結果作為比較不同葉形、加工法及加工機之五軸加工效能的依據。
　　由本研究之分析結果可發現以有理式B仿線合成葉形，再將葉片前緣頂端葉片角度小於流體入射角之部分切除，產生之離心泵葉輪於流場、結構及加工方面皆有理想之表現。而本文之分析結果證明以五軸加工法結合數值曲線之葉片設計法具有優越性與可行性。

　　A centrifugal pump impeller design covers many fields, including fluid dynamics, structural mechanics, vibration and manufacturing etc. In order to obtain blade shapes that could lead to good hydrodynamic performance and machined practicably, an impeller design approach combining five-axis manufacturing process and numerical curve is proposed in this research. The blade shapes are generated from the tool paths constructed ruled surface by the concept of generative machining method, and the cubic spline and the rational B-spline are used to compose the blade curve. For the numerical simulation, the commercial CFD software (CFX-TASCflow) is used to solve the three-dimensional Reynolds-averaged Navier-Stokes equations in a rotating cylindrical coordinate system.
　　In order to evaluate structure reliability and check if vibrations take place, the CAE modules of CATIA are introduced to blade structure analysis and modal analysis in this research. In the aspect of five-axis machining, the NC code for professional-type machine and general-type machine are derived by the transformation of coordinates. Besides, differential geometry is used to check if the interference and undercutting taken place during machining. Finally, kinematic performance of five-axis machining is compared between different blade curves and different five-axis machine.
　　The kinematic analysis results of five-axis machining show impellers whose blade curves composed by the rational B-spline is the prefer choice in the machining concerns. Besides, after the difference between incident angle and blade angle at blade tip is decreased by cutting blade leading edge, both flow field simulation and blade structure analysis results also show impellers whose blade curves composed by the rational B-spline are quite workable.

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