旋风分离器内流动的三维分析
Three-Dimensional Analysis of the Flow in the Cyclones
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摘要: 本文详细阐述了旋风分离器内流动在球坐标系中的数学表述和结果,应用质量守恒定律和定常流动的运动定律,在轴对称的考虑下,用流函数方法详尽推导了流动的三个速度分量.此讨论是从三维的整体观点来全面分析流动状况的.此外,对文[1]中的一些结果作了必要的修正.Abstract: This paper gives the detailed mathematical expression of the flow in the spherical coordinates system.Applying the law of conservation of mass,movement theorem of steady flow,and applying the mathematical method of stream function with consideration of the axis symmetry,the three components of velocity quantum of the flow are deduced in detail.Here the overall analysis of the flow is presented in the view of the concept of whole,and the paper gives the necessary corrections of some results of Ref.[1]
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Key words:
- three-dimensional flow /
- stream function /
- steady flow /
- incompressible fluid
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[1] M.I.G.Bloor and D.B.Ingham.The flow in industrial cyclones.J.fluid Mech.,178(1987).507- 519. [2] G.K.Batchelor,An Introduction to Fluid Dynamics.Cambridge University Press.NewYork(1967).543. [3] Э.Камке,Спровочнцк по обчкноеннчм бцфференчцальным уравненцкм,Москва(1961),498. [4] 叶敬棠、柳兆荣、许世雄、吴正编著,《流体力学》,复旦大学出版社(1989). [5] 吴望一编著,《流体力学》(上册),北京大学出版社(1983). [6] 谢树艺编,《矢量分析与场论》,高等教育出版社(1984). [7] 佟庆理编,《两相流动理论基础》,冶金出版社(1982).(1982), -
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