在軸承系統的設計與分析中，精確的軸承性能參數計算是一項非常重要的工作。本研究之目的即在建立紊流形態熱液動力平板滑動軸承之摩擦係數計算公式。研究對象為無限寬及有限寬軸承以及等溫和熱液動力形態，並考慮慣性效應。由幾何外形、邊界條件及統御方程式，本文推導出影響流體的參數：收斂比(h* )、纖細比(B*)、無因次溫度-黏度參數(Ecμ)、培克萊特數(Pe)、平均雷諾數(Rem)、厚度長度比(hm/L)等。其中h*、B*、Ecμ 及Rem 的影響為本研究的重點。結果發現，當幾何外形參數收斂比及纖細比增加，壓力也增加。當雷諾數增加，紊流強度增加，故壓力也增加。當無因次溫度-黏度參數增加，流體黏度降低，壓力也隨之降低。
本研究採用的數值方法，在無限寬軸承是使用Legendre collocation方法，有限寬軸承是採用高效率且廣義的模式EGFLUM。這兩種模式皆考慮慣性項、熱效應及紊流且數值效率高。數值方法計算出來的數值資料將建立成資料庫。最後資料庫以least-squares方法找出軸承摩擦係數計算公式。機械設計者最後可以利用本文所提供的計算公式透過計算機算出摩擦係數。

Accurate calculation of performance parameters for bearing is an important task in the design or analysis of bearing systems . The objectives of this study are to perform a complete parametric study for slider bearings and to establish the formulations of friction coefficients. Both infinitely-wide and finite width slider bearings were considered. The regimes investigated include isothermal and thermohydrodynamic. In all the cases, inertial effects were included. From the geometry, thermal boundary condition, and governing equations, the dimensionless parameters were obtained including the convergence ratio ( h* ), slenderness ratio ( B* ), dimensionless temperature-viscosity parameter ( Ecμ ), mean Reynolds number ( Rem ), Peclet number ( Pe ), ratio of mean film thickness to bearing length ( hm/L ). Among these parameters, the effects of h*, B*, Ecμ and Rem are of the primary consideration. From the results, it was found that pressure increases with the increase of convergence ratio or slenderness ratio. When mean Reynolds number increases, the pressure will increase as the turbulent intensity become greater. As Ecμ increases, the viscosity will decrease which yield a smaller pressure distribution.
Models used in this study include inertial, thermal, and turbulent models. For infinitely-wide bearings, a collocation method was used, and for finite-width bearings, an efficient and general fluid film lubrication model (EGFLUM) was used. Then uses the parameter results to constitute the database. The least-squares method was used to establish formulation of friction coefficients. Designers can use the equations provided in this article to calculate friction coefficients using a calculator.

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