本文以粗糙度为小参数,采用正则摄动法求解了微细圆管内的层流流动.计算结果表明,壁面相对粗糙度和粗糙元的无量纲间距是影响微细通道内部流场的主要因素.壁面相对粗糙度仅影响扰动流函数的峰值但不影响流场受扰区域的大小;而粗糙曲线空间波数对扰动流函数的峰值和扰动区域的大小都有影响.当粗糙度相同增大空间波数时,流函数的扰动峰值和受扰区域都将减小,这为合理设计粗糙元同时抑制摩擦阻力增大提供了理论依据.
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