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矩函数及其在旋成面叶栅气动反命题及杂交命题中的应用 被引量:2

THE MOMENT FUNCTION AND ITS APPLICATION TO INVERSE- & HYBRID-AERODYNAMIC PROBLEMS OF AIRFOIL CASCADES ON A GENERAL STREAMSHEET OF REVOLUTION
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摘要 本文首先对旋转的任意旋成面上的理想可压缩流动引入一新通用函数——矩函数,并论证它的主要性质,接着将它推广到粘性气体的情况。然后,提出一个基于矩函数的旋成面叶栅气动反命题及A型杂交命题的通用解法。研究表明,矩函数对求解杂交命题(反命题是其特例)和跨声速流动具有明显的优越性。 A new general function - moment function - for ideal compressible flow along an arbitrary rotating streamsheet of revolution is introduced first, and furthermore, generalized to viscous flows. Finally, based on it, a universal method for solving inverse- & hybrid (type A, [2]) aerodynamic problems of airfoil cascades on a general streamsheet of revolution is proposed. It has been shown that the new function possesses some remarkable characteristics which make it particularly suitable for solving hybrid problems and to transonic flow. The possibility of an extension of moment function to full 3-D. viscous compressible flow is also indicated [8].
作者 刘高联
机构地区 上海机械学院
出处 《工程热物理学报》 EI CAS 1982年第2期138-144,共7页 Journal of Engineering Thermophysics
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  • 1刘高联.任意旋成面叶栅杂交型气动命题的变分原理与广义变分原理(Ⅱ)[J].工程热物理学报,1981,2(4):24-33.
  • 2刘高联 姚征.任意旋成面叶栅杂交型气动命题的变分原理与广义变分原理(Ⅲ)[J].工程热物理学报,1986,7(4):329-331.
  • 3LIU Gao-lian.Variational principles and generalized variational principles for hybrid aerodynamic problem of airfoil cascades on an arbitrary stream sheet of revolution(I)[J].Scientia Sinica,1980,23(10):1339--1347.
  • 4LIU Gao-lian.A united theory of hybrid problems for fully 3-D incompressible rotor-flow based on variational principles with variable domain[J] . ASME J Engineering for GT & Power, 1986,108(2):254--258.
  • 5Horlock J K. Axial Flow Compressor [ M]. London: Butterworth Scientific Publications, 1958.
  • 6蔡荣泉,刘高联.流面半反命题和A型杂交命题的变分原理族[J]工程热物理学报,1985(01).
  • 7姚征,陈月林.叶轮机械任意旋成面叶栅气动杂交命题矩函数型变分有限元解法[J].空气动力学学报,1989,7(3):315-322. 被引量:3

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