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Maxwell流体在有限长管道中作不稳定的蠕动传输：食道吞咽进程分析

S·K·潘迪, D·特里帕蒂. Maxwell流体在有限长管道中作不稳定的蠕动传输：食道吞咽进程分析[J]. 应用数学和力学, 2012, 33(1): 14-23. doi: 10.3879/j.issn.1000-0887.2012.01.002
 引用本文: S·K·潘迪, D·特里帕蒂. Maxwell流体在有限长管道中作不稳定的蠕动传输：食道吞咽进程分析[J]. 应用数学和力学, 2012, 33(1): 14-23.
S.K.Pandey, Dharmendra Tripathi. Unsteady Peristaltic Transport of Maxwell Fluid Through a Finite Length Tube: Application to Oesophageal Swallowing[J]. Applied Mathematics and Mechanics, 2012, 33(1): 14-23. doi: 10.3879/j.issn.1000-0887.2012.01.002
 Citation: S.K.Pandey, Dharmendra Tripathi. Unsteady Peristaltic Transport of Maxwell Fluid Through a Finite Length Tube: Application to Oesophageal Swallowing[J]. Applied Mathematics and Mechanics, 2012, 33(1): 14-23.

## Maxwell流体在有限长管道中作不稳定的蠕动传输：食道吞咽进程分析

##### doi: 10.3879/j.issn.1000-0887.2012.01.002

• 中图分类号: O357.2

## Unsteady Peristaltic Transport of Maxwell Fluid Through a Finite Length Tube: Application to Oesophageal Swallowing

• 摘要: 解析地研究了有限长管道中Maxwell流体的不稳定蠕动传输．管壁受到不超过静止边界的收缩波作用．对无量纲形式的方程，应用长波长近似进行分析．导出了轴向速度和径向速度的表达式，评估了沿波长和管道长度方向的压力．讨论了回流现象，确定了回流极限区域．对食道中咀嚼食物（如面包、蛋白等）传输的数学公式给出了物理上的解释．可以看出，与Newton流体相比，Maxwell流体有利于在食道中的流动．与Takahashi等\的实验结果相符合．进一步揭示了松弛时间既不影响剪应力，也不影响回流极限．发现了压力的峰值，对整数值波列是相同的，而对非整数值波列是不同的．
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##### 出版历程
• 收稿日期:  2011-03-24
• 修回日期:  2011-09-22
• 刊出日期:  2012-01-15

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