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題名 | Finite Element Analysis of a Polymeric Liquid Passing Over a Transverse Slot=高分子流體經凹陷之數值模擬分析 |
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作者姓名(中文) | 吳俊煌; 朱聖浩; | 書刊名 | 中國機械工程學刊 |
卷期 | 20:1 1999.02[民88.02] |
頁次 | 頁67-74 |
分類號 | 440.137 |
關鍵詞 | 高分子; 流體; 凹陷; 數值模擬分析; Hole pressure; Polymeric; Non-newtonian; Fluid elasticity; |
語文 | 英文(English) |
中文摘要 | 高分子或黏彈流體在流道中流經凹陷處便會發生孔壓( hole pressure )的現象 。 許多高分子流體的流動型態近似 upper-convected Maxwell fluid 的非牛頓流動行為。 於是本文針對此流體流經凹陷的現象,進行數值模擬分析。所發展出的數值方法係目前最新 式的混合有限單元法 -- the elastic-viscous split stress finite element method with the non-consistent streamline upwind scheme (the EVSS/SU method)。 首先,為 驗證電腦程式的可靠性,我們導出理論解,然後與數值解比較。接著,對孔壓現象作進一步 的研究;同時,分析流體彈性、慣性、與凹陷形狀等流變因子對孔壓值的影響。 |
英文摘要 | The phenomenon of hole pressure occurs whenever a polymeric or viscoelastic liquid flows over a depression in a conduit wall. Numerical simulation of the upper-convected Maxwell fluid passing over a transverse slot is considered herein. This fluid is a typical model for the non- Newtonian behavier of some polymeric liquid. Results are computed by an elasticviscous split stress finite element method, a mixed finite element method, incoporating the non-consistent steamline upwind scheme. As a verification of the numerical scheme, the hole-pressure is evaluated for various Deborah number (De), and is compared with the analytical prediction derived from the Higashitani-Pritchard (HP) theory. The agreement be tween the two is found to be satisfactory for creeping flow in the low De range for which the Higashitani-Pritchard theory is valid. The Deborah number up to 4.0 for convergence of the algorithm has been obtained. Futhermore, the effects of fluid elasticity, inertial, and slot geometry on the hole-pressure are presented and discussed. |
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