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微极流体蠕动泵经由滑移边界管道输送的Stokes流动

D·特里帕蒂 M·K·乔伯 P·K·古泊塔

D·特里帕蒂, M·K·乔伯, P·K·古泊塔. 微极流体蠕动泵经由滑移边界管道输送的Stokes流动[J]. 应用数学和力学, 2011, 32(12): 1481-1493. doi: 10.3879/j.issn.1000-0887.2011.12.008
引用本文: D·特里帕蒂, M·K·乔伯, P·K·古泊塔. 微极流体蠕动泵经由滑移边界管道输送的Stokes流动[J]. 应用数学和力学, 2011, 32(12): 1481-1493. doi: 10.3879/j.issn.1000-0887.2011.12.008
Dharmendra Tripathi, M. K. Chaube, P. K. Gupta. Study on Stokes Flow of Micro-Polar Fluids by Peristaltic Pumping Through a Tube With Slip Boundary Condition[J]. Applied Mathematics and Mechanics, 2011, 32(12): 1481-1493. doi: 10.3879/j.issn.1000-0887.2011.12.008
Citation: Dharmendra Tripathi, M. K. Chaube, P. K. Gupta. Study on Stokes Flow of Micro-Polar Fluids by Peristaltic Pumping Through a Tube With Slip Boundary Condition[J]. Applied Mathematics and Mechanics, 2011, 32(12): 1481-1493. doi: 10.3879/j.issn.1000-0887.2011.12.008

微极流体蠕动泵经由滑移边界管道输送的Stokes流动

doi: 10.3879/j.issn.1000-0887.2011.12.008
详细信息
  • 中图分类号: O357.2;O368

Study on Stokes Flow of Micro-Polar Fluids by Peristaltic Pumping Through a Tube With Slip Boundary Condition

  • 摘要: 计及管道边界条件滑移的影响,研究微极流体蠕动泵,经由圆柱形管道输运的Stokes流动.壁面运动的控制方程为正弦波方程.使用润滑理论,得到了轴向速度、微转动向量、流函数、压力梯度、摩擦力和机械效率的解析数值解.用图形表示出构成参数,如像耦合参数、微极参数和表征蠕流泵特性的滑移参数、摩擦力和俘获现象的影响.数值计算表明,当耦合参数较大时,需要蠕动泵的压力更大,而微极参数和滑移参数正相反.俘获团块的大小随耦合参数和微极参数的减小而缩小,而随滑移参数的增大而缩小.
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出版历程
  • 收稿日期:  2011-01-30
  • 修回日期:  2011-07-18
  • 刊出日期:  2011-12-15

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