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 引用本文: 朱婧, 郑连存, 张志刚. 同轴圆柱间滑移旋转流动问题的同伦解析解[J]. 力学学报, 2012, 44(2): 451-455.
Zhu Jing, Zheng Liancun, Zhang Zhigang. THE ANALYTICAL SOLUTION OF THE ANNULAR AXISYMMETRIC STAGNATION FLOW WITH SLIP[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 451-455.
 Citation: Zhu Jing, Zheng Liancun, Zhang Zhigang. THE ANALYTICAL SOLUTION OF THE ANNULAR AXISYMMETRIC STAGNATION FLOW WITH SLIP[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 451-455.

## THE ANALYTICAL SOLUTION OF THE ANNULAR AXISYMMETRIC STAGNATION FLOW WITH SLIP

• 摘要: 从理论上研究了具有延伸柱面的同轴圆柱间滑移流动问题.通过引入适当的相似变换将控制方程组转化为一类非线性边值问题, 利用同伦分析方法首次获得问题的近似解析解, 分析讨论滑移参数、雷诺数和内外筒半径比对流动的影响.结果表明: 滑移边界参数对剪切应力有较大的影响, 滑移边界小的流体对壁面和边界层内流场施加了更大的剪切力; 增大雷诺数Re, 能增大内筒的壁面剪切力和扭矩; 内外筒半径比对流动结构也有较大的影响, 内筒半径固定, 增大外筒半径能够减少内筒的纵向剪切力.

Abstract: This paper presents a theoretical analysis for the annular axisymmetric stagnation slip flow on a moving cylinder. The governing system of partial differential equations is first transformed into a system of dimensionless ordinary differential equations. By using the homotopy analysis method, a convergent series solution is obtained. The solutions indicate that the flow and shear stress depend heavily on the velocity slip parameter. Also, effect of increasing values of λ is to decrease the surface shear stress. Besides, both drag and moment experienced by the inner cylinder are increased by the increased Reynolds number and the decreased ratio of axial velocity to injection velocity.

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