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本文对具有余弦蠕动波形的蠕动流进行了数值研究.在计算中采用了具有衰减函数的差分格式并引进了SIMPLE方法进行数值求解,既可以保证数值求解的稳定性,又能自动地在小格子雷诺数的差分点上向中心差分格式转化以减小虚假扩散,提高数值精度;既能对平面二维、又能对轴对称情形进行计算,只要在执行计算程序时输入一个选择参数.本文主要针对轴对称情形,计算表明对各种雷诺数及各种程度的管壁变形计算结果有效,与已有结果比较表明本文结果是合理的,并有一定的改进,所得结果对于研究动物体内流体输运有一定的参考价值.
In this paper, a numerical study of the peristaltic flow with a cosine peristaltic waveform is carried out.Differential schemes with attenuation function and SIMPLE method are introduced to solve the problem numerically, which can not only ensure the stability of numerical solution, Reynolds number of the differential point to the central difference format conversion to reduce the spurious diffusion and improve the numerical accuracy; both plane and axisymmetric calculation of the situation, as long as the implementation of the calculation program to enter a selection parameter. For the axisymmetric case, the calculation shows that the calculation results of various Reynolds numbers and various degrees of wall deformation are effective. Compared with the existing results, the results are reasonable and have some improvements. The obtained results are very useful for the study of fluid transport Have a certain reference value.