在發展新製程技術方面，噴墨印像技術與射出成型技術已被電子工業界廣泛的研究。為了減短設計週期，二相流的數值模擬技術成為必要的研發工具。因此，本研究中使用數值計算流體力學方式進行噴墨印像與射出成型二相流流場之數值模擬。提出的二相流三維數值模型，使用有限體積法（Finite Volume Formulation）離散統御方程式，採用流體體積法（Volume-of-fluid Method）計算二相流介面。在噴墨印像研究方面，表面張力計算採用連續表面力模型（Continuum Surface Force Model），流體與固體的介面接觸角設定於液體界面。數值模擬結果顯示，液滴產生過程噴嘴附近之液滴介面中心點位置與其他學者的量測結果比較，在定性上的趨勢接近。此外，研究中亦使用微視流技術觀測噴墨液滴飛行的暫態過程，並與數值模擬結果比較，成功驗證數值方法的可靠度。進一步將驗證後的數值方法，應用於研究噴墨液滴撞擊凹槽的沈積過程，探討流體性質、液滴撞擊速度及撞擊材質表面特性對於微製程之影響，得到一系列關於噴墨印像微製程液滴成型的關鍵條件。
在射出成型研究方面，研究中完整求解三維Navier-Stokes方程組，並使用Modified Cross-WLF Model來計算高分子熔融流體的流變性質。數值模擬結果顯示，具半圓柱之長方形平板的氣體輔助射出成型案例中，熔膠充填過程及主要的氣體充填過程與其他學者的實驗結果幾乎一致。在其他例子中，一些重要的三維流場現象，例如：噴出效應（Jetting Effect）、跑道效應（Race-tracking Effect）、轉角效應（Corner Effect），與氣體充填之不對稱性都能成功的模擬。這些三維現象，在2.5D或是簡化的Stokes-type三維商用電腦輔助設計軟體中，都不能成功的模擬及預測。

The inkjet printing technology and injection molding technology have been widely explored by the electronic industry in developing new manufacture processes. To shorten the design cycle, the numerical simulation of two-phase flow is the required tool. The three-dimensional simulations of two-phase flow based on a numerical scheme comprised of a finite volume formulation for discretizing governing equations of the flow field and a volume-of-fluid method to predict the fluid interface are presented. Non-staggered grid system is used. An interpolation practice of second order accuracy is adopted to calculate the physical quantities at cell-face centers. The deferred correction approach is used to compute the convection and diffusion terms by blending the upwind and central difference scheme. An implicit three-time-level scheme with second-order accuracy is adopted. The SIMPLE algorithm is adopted to treat the velocity and pressure coupling.
In the study of the two-phase flow on inkjet printing technology, the surface tension is calculated by a continuum surface force model. The contact angle between the fluid and the solid wall is explicitly enforced at the fluid interface. The numerical predictions of meniscus shape are similar to measurement results which published by other researchers. And then, micro flow visualization and computational results are complementarily presented of the extrusion, detachment, recoil, and free flight of the inkjet droplet column ejected from a commercial piezo-electrically driven inkjet printhead. Subsequently, the verified numerical code is applied to study the influences of surface tension, fluid viscosity, contact angle θs between the droplet and cavity walls and droplet impinging velocity on the deposition process of a microfabrication based on inkjet printing technique. The effects of the surface tension on the deposition process are examined by varying the drop’s surface tension, i.e. σ = 10 dyne s/cm, 28 dyne s/cm, 50 dyne s/cm and 70 dyne s/cm, while the viscosity of the droplet is fixed at μl = 5 cp. The effects of the viscosity on the deposition process are examined by varying the drop’s viscosity, i.e. μl = 2.5 cp, 5 cp and 10 cp, while the surface tension of the droplet is fixed at σ = 28 dyne s/cm. It is found that there exist a critical Reynolds number and a critical Weber number beyond and below which the ink droplet fails to form a layer, respectively. Furthermore, the hydrophilic effects are explored by choosing θs at 10°, 30°, 50°, 70°, 90°, and 120°, whereas the contact angle between the fluid and bottom wall is fixed at θb = 30°. The influences of droplet impinging velocity are examined by increasing its value from 1.0 m/s to 7.0 m/s identifications of a critical contact angle (θs)c, = 70o and a critical range of impact velocities, 5 m/s to 7 m/s. At these critical values the formation of an intact flat film in the cavity is fulfilled.
In the study of the two phase flow on injection molding technology, the full Navier-Stokes equations are solved. The rheological property of polymer melt flows is calculated by the modified Cross-WLF model. The first case is the gas-assistant injection molding process of the rectangular plane with half cylinder. The predicted distributions of gas core thickness are compared with the corresponding experimental observation. In the other cases, several three-dimensional characteristics are demonstrated. The numerical results depict important three-dimensional phenomena, such as the jetting effect, race-tracking effect, corner effect, and the flow asymmetry after the gas is injected, which can not be described by any two-and-half dimensional model or Stokes-type three-dimensional methods commonly used in the current commercial CAE simulations for melt flows.

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