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采用一般形式的Ｃｈｅｂｙｓｈｅｖ多项式展开方法，对圆管Ｐｏｉｓｅｕｉｌｅ流的Ｏ－Ｓ方程进行数值模拟．发现所有特征值的虚部都小于零，因此，验证圆管Ｐｏｉｓｅｕｉｌｅ流对于轴对称的小扰动来说是线性稳定的，结果还表明应用Ｃｈｅｂｙｓｈｅｖ多项式在计算结果精度方面有较大的优越性．
The general form of Chebyshev polynomial expansion method is used to simulate the O-S equation of Poiseuile flow. The imaginary part of all eigenvalues is found to be less than zero. Therefore, it is proved that Poiseuile flow is linearly stable for axisymmetric small perturbations, and the results also show that Chebyshev polynomials have more advantages in accuracy of calculation results.