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題名 | On the Behavior of Three-Dimensional Viscoelastic Liquid Extrusion=任意非軸對稱黏彈流之擠出自由流分析 |
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作者姓名(中文) | 金餘華; | 書刊名 | 重高學報 |
卷期 | 2 1999.06[民88.06] |
頁次 | 頁193-202 |
分類號 | 440.137 |
關鍵詞 | 黏彈流體; |
語文 | 英文(English) |
中文摘要 | 此論文主要探討各種不同牛頓流及非牛頓流自任意形狀噴嘴射出至空氣或溶液中所產生的行為。文中採用一維封閉模式理論將三維邊界值問題簡化,並假設速度場為線性展開式,達到模擬真實黏彈流之行為,進而設計出任何形狀之噴嘴,應用在各種相關工業。文中並無考慮溫度效應,但考慮表面張力、慣性力矩、彈性效應、黏性效應及微體力等物理因素對黏彈流體所產生之影響。文中,噴嘴形狀以三次多項式 (Cubic Spline) 來近似,並假設擠出後為細長型,其流體表面為自由曲面,無任何曳力作用於表面,結果為黏彈流在不同因素影響下將發生膨脹變形、扭曲變形、旋轉變形等不同的變化。此論文並設計各種不同形狀的噴嘴,例如矩形、啞鈴形等各種不同形狀所產生的變化,並與相關之實驗結果比較,以 驗證此論文的重要性。 |
英文摘要 | The research analyzes the features of the viscoelastic injection extrusion with arbitrary nozzle shape in the air or solutions..A one-dimensional theory for Maxwell-Jeffreys viscoelastie liquid is derived to simplify the three-dimensional boundary jet-flowing problem. The approximate model is based on the expansion of the linear velocity profile. The model predicts the behavior of the viscoelastic free jet with arbitrary cross section in the present configuration. The cross section of designed nozzle shape is arbitrary along the fixed axial coordinate. The geometry of designed nozzle shape in cartesian coordinate is fitted by cubic spline curve (see appendix A). The physical effects of gravity, elasticity, viscosity, inertia, and surface tension are included in this research. One nondimensionalizes the governing equations and uses Gaussian mean curvature to determine the surface tension term in order to solve the full problem. By introducing a slenderness scale, one-dimensional model is derived to simplify the exact three-dimensional equations of motion incorporated with nonlinear free surface boundary conditions. The consequences of approximate models predict the behavior of swell, distortion, and spinning under various examined viscoelastic liquids. In this research, the results are consistent with Bechtel, et al. [4] of elliptical nozzle shape cases. Even more different other shapes are considered. Those initial nozzle shapes including starlike shape, rectangular shape and other designed shapes are analyzed with physical parameters in different regimes. Also, the results are consistent with those by Han [6] in his experimental nozzle shapes. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。