• Title/Summary/Keyword: Hagen-Poiseuille Flow

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A Simple Method to Make the Quadruple Tank System Near Linear

  • Lee, Jietae;Kyoung, Inhyun;Heo, Jea Pil;Park, YoungSu;Lim, Yugyeong;Kim, Dong Hyun;Lee, Yongjeh;Yang, Dae Ryook
    • Korean Chemical Engineering Research
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    • v.55 no.6
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    • pp.767-770
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    • 2017
  • Quadruple tank liquid level systems are popular in testing multivariable control systems for multivariable processes with positive or negative zeros. The liquid level system is nonlinear and it will help to illustrate the robustness of control systems. However, due to nonlinearity, it can be cumbersome to obtain process parameters for testing linear control systems. Perturbation sizes are limited for valid linearized process models, requiring level sensors with high precision. A simple method where the outlet orifice is replaced to a long tube is proposed here. The effluent flow rate becomes proportional to the liquid level due to the friction loss of long tube and the liquid level system shows near linear dynamics. It is applied to the quadruple tank system for easier experiments.

Study on Fluid Distribution in Slot-die Head Using CFD (CFD를 이용한 슬롯 다이 헤드 내부의 유체 분포 분석)

  • Yoo, Suho;Kim, Gieun;Shin, Youngkyun;Park, Jongwoon
    • Journal of the Semiconductor & Display Technology
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    • v.21 no.4
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    • pp.39-44
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    • 2022
  • Using a CFD (computational fluid dynamics) simulation tool, we have offered a design guideline of a slot-die head having a simple T-shaped cavity through an analysis of the fluid dynamics in terms of cavity pressure and outlet velocity, which affect the uniformity of coated thin films. We have visualized the fluid flow with a transparent slot-die head where poly(3,4-ethylenedioxythiophene):poly(4-styrenesulfonate) (PEDOT:PSS) is injected. We have shown that the fluid dynamics inside the slot-die head depends sensitively on the cavity depth, cavity length, land length, and channel gap (i.e., shim thickness). Of those, the channel gap is the most critical parameter that determines the uniformity of the pressure and velocity distributions. A pressure drop inside the cavity is shown to be reduced with decreasing shim thickness. To quantify it, we have also calculated the coefficient of variation (CV). In accordance with Hagen-Poiseuille's laws and electron-hydraulic analogy, the CV value is decreased with increasing cavity depth, cavity length, and land length.

The Characteristics of Longitudinal Permeability and Hydraulic Resistance in Stem of Acer mono (고로쇠나무 줄기의 통수성(通水性)과 통수저항(通水抵抗)의 특성(特性))

  • Kim, Sun-Hee;Han, Sang-Sup
    • Journal of Korean Society of Forest Science
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    • v.89 no.4
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    • pp.488-496
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    • 2000
  • This study was carried out to investigate the characteristics of longitudinal permeability and hydraulic resistance, and to compare the longitudinal permeability ($K_E$) calculated by the Hagen-Poiseuille's law (Siau, 1971) and the longitudinal permeability (K) measured in sapwood of Acer mono stem. The volume flow rate (Q) in a vessel was $0.80{\times}10^{-4}cm^3/sec$ and the hydraulic resistance ($R_S$) to viscous flow through a vessel was, on average, $1.37{\times}10^{10}dyn{\cdot}sec{\cdot}cm^{-3}{\cdot}cm^{-2}$. The average value of volume flow rate ($Q_N$) through the cross section of sapwood was $0.32cm^3{\cdot}sec^{-1}{\cdot}cm^{-2}$, and the average resistance ($R_{SN}$) was $3.59{\times}10^6dyn{\cdot}sec{\cdot}cm^{-3}{\cdot}cm^{-2}$. The values of K decreased as the diameter of stem increases, which was attributable to variations in the number of vessel per unit area rather than in vessel diameter, and to different resistances in the conducting tissues of each part of the stem. The average value of K measured at breast height was 31% of average value of $K_E$. The $K/K_E$ ratios were 100% in 4 to 6 year-old stems and more than 90% in 7 to 27 year-old stems. The $K/K_E$ ratio decreased as the age of stems increases, and was not more than 20% in near-ground parts of stem.

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