在本論文中，提出考慮在固-液介面粗糙表面之非等向滑移邊界條件與流體流變效應的潤滑理論。利用具有正交滑移長度( , )之奈維爾(Navier)邊界潤滑條件、流體的流變模型以及流量因子法來修正傳統雷諾方程式，推導出修正型平均雷諾方程式以及其修正因子(壓力流率與剪切流率修正因子)與流量因子(壓力流量因子與剪切流量因子)。
非等向滑移的現象是源自於在原子尺度和潤滑表面性質的微觀粗糙度效應。而粗糙表面間的流體流量是公稱膜厚與流量因子的乘積。非牛頓流體的潤滑劑則會造成軸承性能的影響。本研究將針對耦合此三種狀況之軸頸軸承的潤滑理論進行分析，並通過數值方法來求解修正型平均雷諾方程，最後對軸承的性能加以討論。
因此，將討論不同的軸長比( )對非等向性滑移、流體流變效應與粗糙度效應耦合的影響。
結果表明，邊界滑移的存在可以削弱表面粗糙度效應的影響。且繪製不同潤滑液與不同邊界滑移條件之恆定負載輪廓線圖，供在設計軸頸軸承時可以有參考的依據。最後期望透過特殊的表面圖樣的加工方法，可以設計出具預期性能的軸承。

In this study, a lubrication theory that includes the coupled effects of anisotropic slip on both the solid-liquid interface, rheology and surface roughness on the lubrication (journal bearing) performance is proposed. A modified average Reynolds equation (modified ARE) as well as Poiseuille and Couette flow rate correctors and the related factors (pressure and shear flow factors, and shear stress factors) are then derived by applying the rheology model, Navier slip boundary conditions and flow factor with orthogonal principal slip lengths ( b ix , b iy ).
The results show that the existence of boundary slip can dilute the effects of surface roughness. And contours of constant load ratios are plotted and then the parameters in flow rheology and boundary slip can be located while designing functional surfaces in journal bearings. Finally,a bearing with desired performance can be designed by the processing method of the surface texture.

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