Short and Long Wave Peristaltic Flow: Modeling and Mathematical Analysis
Short and Long Wave Peristaltic Flow: Modeling and Mathematical Analysis
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DOI：
10.1142/s1758825115400141
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发表时间：
2015-02
影响因子：
3.5
通讯作者：
L. Fusi;A. Farina;A. Fasano
中科院分区：
文献类型：
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作者：
L. Fusi;A. Farina;A. Fasano
本文提出了一个牛顿流体在小长径比轴对称通道中蠕动流动的数学模型。特别是，我们研究的波长的壁振荡区分长波长（同一顺序的船只的长度）和短波长（同一顺序的船只的半径）的影响。我们证明，振荡产生流动，即使在没有压力梯度的情况下，长波。在短波长的情况下，湍流不影响流动。我们还证明，在这两种情况下，管电阻的振荡幅度增加。
In this paper, we present a mathematical model for the peristaltic flow of a Newtonian fluid in an axisymmetric channel with small aspect ratio. In particular, we study the effects of the wave length of the wall oscillation distinguishing between long wave length (same order of the vessel's length) and short wave length (same order of the vessel's radius). We prove that the oscillation produces flow even in the absence of a pressure gradient in case of long wave. In case of short wave length, peristalsis does not affect the flow. We also prove that, in both cases, the tube resistance increases as the oscillation amplitude increases.