本文乃利用三維流體力學理論，建立塗料流經(pickup-roll)與塗覆輥(application-roll)兩輥輪間時之流場模擬模型，結合數值模擬的方法分析因塗膜分離(film splitting)流場不穩定而出現在帶漆輥表面之流紋(ribbing)變化，模擬在不同輥輪轉速(6、12與60 m/min)與輥輪轉速比(1、2與4)的情況下，求得各參數對整體塗料流場與波紋產生之影響與關係，並以二維方式模擬流紋波在不同塗料黏度(2.25、4.5與9 C.P)與表面張力(0.014、0.028與0.056 N/m)等參數下，觀察其流平之現象，以瞭解塗料在順輥塗裝(forward roll coating)過程的流動行為。
由模擬結果得知在較低之黏度及較高之表面張力的情況下，其流紋波流平所需之時間較短，即流平之速率較快。並發現當波長由1 mm提高至2 mm時，其流平速率之時間常數會增加為原時間常數之十倍。另外，當黏度較高時，其實驗量測之塗料厚度有較佳之精準度，比較實驗與數值分析所得之結果，兩著間之誤差在5%-10%內。

This thesis utilized 3-D fluid dynamics theory to create a proper simulation model of flow fluid in forward-roll film-coating. We propose a framework for interpreting the formation, evolution, and spatial persistence of ribbing in coating processes. Surface tension and viscous forces are accounted for in the model. A novel numerical technique is presented to obtain solutions of the model.
The numerical results for different rotational speed of roller (6、12 and 60 m/min), rotational speed ratio (1、2 and 4), viscosity (2.25、4.5 and 9 C.P) and surface tension (0.014、0.028 and 0.056 N/m) during the process of forward-roll coating were discussed. Different concentration of glycerin solution is used (50% and 70% wt ). The change of thickness of coating under different rotation speed of the roll is measured. It is found that as the viscosity is higher, the measured thickness of the coating has better accuracy. Comparing the result from experiment and numerical analysis, the error between them is within 5% to 10 %.

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