Peristaltic transport of an incompressible viscous fluid due to an asymmetric waves propagating on the horizontal sidewalls of a rectangular duct is studied under long-wavelength and low-Reynolds number assumptions. The peristaltic wave train on the walls have different amplitudes and phase. The flow is investigated in a wave frame of reference moving with velocity of the wave. The effect of aspect ratio, phase difference, varying channel width and wave amplitudes on the pumping characteristics and trapping phenomena are discussed in detail. The results are compared to with those corresponding to Poiseuille flow.

中文翻译：

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侧壁对非对称矩形管道蠕动流动的影响

在长波长和低雷诺数假设下，研究了由于在矩形管的水平侧壁上传播的不对称波引起的不可压缩粘性流体的蠕动传输。壁上的蠕动波列具有不同的振幅和相位。在参考波随波速移动的波框中研究流量。详细讨论了纵横比，相位差，变化的通道宽度和波幅度对泵浦特性和陷波现象的影响。将结果与对应于Poiseuille流的结果进行比较。