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  • 學位論文

液滴掉落現象之數值模擬

The Numerical Simulation of the Liquid Drop Phenomena

指導教授 : 鄧志浩
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摘要


摘 要 本文是以數值模擬方式探討液滴形成之過程。此問題為一液、氣共存之二相流問題。本文是以最小平方有限元素法(LSFEM)來求解Navier-Stoke方程式並以流體體積法(VOF)與連續表面張力模式(CSF)為基礎,解此二相流問題。 以最小平方有限元素法解此二相流問題之控制方程式時,主要有兩種方法,(1)固定網格法(2)非固定網格法(網格隨時間而改變),而本研究是使用第一種方法固定網格法。本文將探討雷諾數Re、毛細管數Ca和邦德數G對液滴形成之影響,並且模擬液體形成液滴之過程,與前人之實驗與數值模擬做定性比較,驗証其正確性。

並列摘要


Abstract This paper presents the numerical simulation of the whole process of the formation of the liquid drop. This is a two-phase flow problem between the liquid and gas. In this study the least-squares finite element method (LSFEM) is adopted to solve the Navier-Stokes equations. Also included in this paper is the volume of fluid (VOF) and continuous stress force (CSF) models for the determination of the interface between the liquid and gas. There are two schemes for solving the two-phase fluid methods, one is the front capturing method and the other is the front tracking method. In this study, the first one method is used. The formation of liquid drop under the different Reynolds number, Capillary number and Bond number is carefully examined. The qualitative comparison between the numerical simulations and experimental measurements show the similar trend and results.

參考文獻


1. B.J. Daly, “Numerical study of two fluid Rayleigh-Taylor instability”, Phys. Fluids, 10, pp. 297-307 (1967).
2. B.N. Jiang, “The Least-Squares finite element method : Theory and applications in computational fluid dynamics and electromagnetic”
3. B.N. Jiang, and V. Sonnad, ”Least-squares solution of incompressible Navier-stokes equations with the p-version of finite elements”, NASA.TN-105203., Setp. (1991).
4. B.N. Jiang, “A Least-Squares finite element method for incompressible Navier-stokes problems”, Int. J. Num. Method Fluids., vol.14, pp843
6. C.W. Hirt, and B.D. Nichols, “Volume of fluid (VOF) method for the dynamics of free boundaries”, J. Comput Phys., vol. 39, pp. 201-225 (1981).

被引用紀錄


李峴禕(2012)。二相流模式應用於恆溫冶金流體之流場模擬與分析〔碩士論文,中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu201200089

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