In this paper, flow factors considering the roughness of the different orientation angles and different wavelengths are obtained from the derived form of the homogenization coefficient, which is calculated by a heterogeneous multiscale inverse approach. The influence of anisotropic roughness on the flow factors is investigated. When the angle is equal to $45°$, the span flow is maximum. The flow factor curves happen to overlap when the wavelength ratio is less than 4 with double cosine roughness. To verify the flow factors, film pressures are calculated by a finite element heterogeneous multiscale method (FE-HMM) without considering the flow factors. Then, by comparing the results with solutions of a finite difference method, the FE-HMM method gets the results that are needed, and with a shorter time of calculation. The pressure curve is greatest when the orientation angle is $45°$ with a double cosine roughness, which is caused by the asperity number and the span flow. The pressure distributions of the cosine roughness and double cosine roughness are different as the orientation angle changes.

在本文中，从均质系数的导出形式中获得了考虑不同取向角和不同波长的粗糙度的流动因子，该均质系数是通过异构多尺度逆方法计算得到的。研究了各向异性粗糙度对流动系数的影响。当角度等于$45°$，跨度流量最大。当波长比小于4且余弦粗糙度为两倍时，流量因子曲线恰好重叠。为了验证流量因子，通过有限元异质多尺度方法（FE-HMM）计算膜压力，而无需考虑流量因子。然后，通过将结果与有限差分法的解决方案进行比较，FE-HMM方法可以获得所需的结果，并且计算时间较短。当定向角为时，压力曲线最大$45°$具有由倍数和跨度流量引起的双余弦粗糙度。余弦粗糙度和双余弦粗糙度的压力分布随取向角的变化而不同。