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題 名 | 黏稠流體與牛頓流體共軸紡絲流動系統穩定性分析=Stability Analysis of Fiber Spinning of Newtonian-Concentrated Coextrusion System |
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作 者 | 李偉雄; 鄭義忠; 林炯志; | 書刊名 | 中正嶺學報 |
卷 期 | 28:2 2000.03[民89.03] |
頁 次 | 頁113-125 |
分類號 | 478.13 |
關鍵詞 | 同軸共擠出; 線性穩定性分析; 黏彈性流體; Doi-edwards模式; Coextrusion; Linear stability analysis; Viscoelastic fluids; Doi-edwards model; |
語 文 | 中文(Chinese) |
中文摘要 | 本文主要在針對等溫雙層紡絲系統進行流動分析。代表此雙層系統之統御方程式 包含了連續方程式、 運動方程式以及由牛頓流體與 Doi-Edwards 流體分別所構成之本質方 程式。Doi-Edwards ( DE )模式係根據 Tube model 建構而成,其可適切地表示濃稠熔融 之黏彈性流體的纏繞行為。因為 DE 模式與牛頓流體之相異的流變行為,紡絲在以同軸共擠 出時,兩者模式間之相互影響將對整體流動產生影響,本文探討系統流體通過拉伸段之流速 、全張力隨物質參數與操作條件變化之影響,並加入能量方程式,對非等溫系統作簡單分析 。 首以 Rung-Kutta-Gill 積分法根據統御方程式求出穩態解,據此基本流穩態解,經由線 性穩定性分析後所獲得之介穩定曲線可供判斷系統在某些特定操作條件下之穩定性。最後, 分析擾動特徵值與系統操作條件、系統流體參數之關係後,獲得一以黛博拉數對臨界拉張比 之曲線圖,此圖稱之為穩定性視窗。穩定性視窗中被劃分為由介穩定曲線所隔開之三個區域 :穩定區、非穩定區及另一不能獲得區。 |
英文摘要 | The flow behavior analysis of an isothermal two-phase fiber spinning has been studied theoretically. This isothermal two-layer system is expressed by the governing equations including the continuity equation, the momentum equation and the constitutive equations of Newtonian and Doi-Edwards fluids, respectively. The Doi-Edwards (DE) model, constituted by a primitive chain model, can appropriately describe the rheological behavior of concentrated polymer. It is worth to study the effect between DE model and Newtonian fluid on the system of coextrusion. The major aim of this paper is to discuss the change of velocity under different material parameters and operating conditions. Furthermore, the nonisothermal system has been analyzed simply joining an energy equation. At the beginning, the steady-state solutions were solved and taken as the base flow for the linear stability analysis. Throughout such an analysis, the neutal-stability curves were established to determine whether the system is stable or not under certain conditions. Finally, under different draw ratios and Deborah numbers, a stability window was established including three regions: stable, unstable and unattainable, which were divided by a neutral-stability curve. |
本系統中英文摘要資訊取自各篇刊載內容。