【摘要】 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.更多还原

【Abstract】 Numerical reserch of cosine wave peristaltic flows is made.In the calculation, attennation function difference scheme and SIMPLE methd are introduced.This scheme can insure that the numerical solution is stable, and that the transformation to central difference scheme at low grid Re number points can be made automatically to decrease false diffusion and to increase the numerical precision.The method is available for 2-dimensional or axisymmetrical cases only if a parameter selection is made.The numerical results are more reasonable for any Re number and for the wall deformation of different extent than the known results.The result may be valuable for the investigations of the fluid transfer in animal bodies.更多还原