本研究提出線接觸彈液動潤滑之缺油熱效應理論模型。在缺油與固定流量條件下,藉由修正之雷諾方程式和能量方程式計算供油區(油膜流入赫茲接觸壓力區之前)之油膜厚度及油溫之分佈,探討不同供油量率對油溫之影響。
結果發現，在不同滾滑比下，隨著提高供油量率，流進供油區之油膜增加，壓力區進口油池之範圍變大並逐漸往上游移動。因此，摩擦係數和滾輪之表面溫度亦隨之下降。在嚴重缺油時，供油量率很小，溫度較高，在完全浸沒時，供油量率較缺油時大，而且更多潤滑油回流，帶走的熱量越多，新鮮油對滾輪降溫的效果更好。因此，壓力區之油溫和滾輪溫度分佈也比較低。最後,推導出上、下表面滾輪在出口區之溫度公式。

In this study, a theoretical model is proposed to predict the thermal effects on the elastohydrodynamic lubrication behavior of line contacts under the lubricant starvation. The film thickness and the oil temperature are calculated by the modified Reynolds and energy equations in the supply region (before the oil flows through the Hertzian contact) at the fixed flow rate and the lubricant starvation conditions. The effect of flow rate on the oil temperature is investigated.
Results show that the film thickness at the supply region increases with increasing the flow rate at different slip ratios, so that the location of the meniscus gradually moves to upstream. Consequently, the friction coefficient and the surface temperature of roller are decreased. When the flow rate is much smaller at the severe starvation conditions, the temperatures of the oil and the roller increase. When the flow rate is large than that of the fully flooded conditions, the oil flows back, so that more heat is taken away. The fresh oil has better cooling effect on the roller. Consequently, the oil temperature and the surface temperatures of the rollers at the pressure region is relatively low. Finally , the formula of the surface temperature at the upper and lower rollers in the outlet region is derived.

摘要 i
Abstract ii
誌謝 iii
目錄 iv
圖目錄 vi
表目錄 x
符號說明 xi
第一章 緒論 1
1.1 研究動機 1
1.2 文獻回顧 2
1.3 論文架構 12
第二章 理論分析與數值方法 13
2.1 供油區油膜流動之理論模型 13
2.2 供油區熱傳模型 22
2.3 壓力區熱傳模型與數值方法 29
2.4 出口區熱傳模型與數值方法 32
第三章 結果與討論 37
3.1 供油區油膜之不同供油量 37
3.2 供油區固定高度對溫度之影響 44
3.3 出口區上、下表面滾輪溫度之預測公式 53
3.4 不同流量率對溫度之影響 60
第四章 結論與未來展望 67
參考文獻 69
附錄 72

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