• Title/Summary/Keyword: Washburn equation

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Measurements of Flow Meniscus Movement in a Micro Capillary Tube (마이크로 원형 모세관에서 계면 이동 현상의 측정)

  • Lee, Sukjong;Sung, Jaeyong;Lee, Myeong Ho
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.22 no.1
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    • pp.15-21
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    • 2013
  • In this paper, a high-speed imaging and an image processing technique have been applied to detect the position of a meniscus as a function of time in the micro capillary flows. Two fluids with low and high viscosities, ethylene glycol and glycerin, were dropped into the entrance well of a circular capillary tube. The filling times of the meniscus in both cases of ethylene glycol and glycerin were compared with the theoretical models - Washburn model and its modified model based on Newman's dynamic contact angle equation. To evaluate the model coefficients of Newman's dynamic contact angle, time-varying contact angles under the capillary flows were measured using an image processing technique. By considering the dynamic contact angle, the estimated filling time from the modified Washburn model agrees well with the experimental data. Especially, for the lower-viscosity fluid, the consideration of dynamic contact angle is more significant than for the higher-viscosity fluid.

Mechanical and optical properties of alumina/zirconia-glass dental crown composites (인공치관용 알루미나/지르코니아-유리 복합체의 기계적 및 광학적 특성)

  • 이득용;장주웅
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.13 no.3
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    • pp.99-104
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    • 2003
  • Alumina/zirconia-glass composites prepared by melt-infiltration were investigated to evaluate the influence of zirconia addition on mechanical and optical properties of the composites and glass penetration kinetics. The infiltration distance was parabolic with respect to time as described by the Washburn equation and the penetration rate constant, K, decreased due to the reduction In pore size as the amount of zirconia rose. The zirconia addition increased lightness ($L^*$) but reduced K, transmittance and color sharpness ($C^*$) It can be concluded that the zirconia addition was not effective to the mechanical properties of the composites due to the increase in porosity even though the toughness of the composites increased when zirconia was added up to 15 wt%.

A Study on the Wettability by Surfactant of Hydrophobic-Hydrophilic Powders (Hydrophobic-Hydrophilic 분체의 계면활성제에 의한 Wettability 연구)

  • Rho, Seung-Baik;Lim, Mi Ae
    • Applied Chemistry for Engineering
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    • v.9 no.2
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    • pp.177-184
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    • 1998
  • The contact angle on powder hydrophobic polymer PMMA(polymethylmethacrylate), PVC(poly vinyl chloride) and hydrophilic metal aluminium was measured by wicking method on the base of Washburn equation for water, glycerol, formamide, diiodomethane, 1,1,2,2-tetrabromoethane, 1-bromonaphthalene, acetone, chloroform, benzene, ethanol, methanol, and for anionic surfactant SDS(sodium dodecyl sulfate) and cationic surfactant CATB(cetyl trimethylamonium bromide) aqueous solution with concentrations. The values of ${\gamma}_c$ estimated by Zisman plot and adhesion tension plot for contact angle with organic liquids, SDS, and CTAB aqueous solutions were 43.5, 28.3, and $36.2mNm^{-1}$ for PMMA and 44.2, 25.0, and $34.8mNm^{-1}$ for PVC, respectively. From the results, it was considered that wettability and characteristics of solid surface were transformed by adding surfactant. The surface free energy, ${\gamma}_s$ and its components of PMMA, PVC, and aluminium were determined using harmonic equation.

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Effect of Zirconia Addition on Mechanical Properties of Spinel/Zirconia-glass Dental Crown Composites Prepared by Melt-infiltration (용융침투법으로 제조한 인공치관용 스피넬/지르코니아-유리 복합체의 기계적 특성에 미치는 지르코니아 첨가효과)

  • Lee, Deuk-Yong;Kim, Byung-Soo;Jang, Joo-Wung;Lee, Myung-Hyun;Park, Il-Seok;Kim, Dae-Joon
    • Journal of the Korean Ceramic Society
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    • v.39 no.11
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    • pp.1028-1034
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    • 2002
  • Spinel/zirconia-glass composites prepared by melt-infiltration were fabricated to investigate the effect of zirconia addition on mechanical and optical properties of the composites. The infiltration distance was parabolic with respect to time as described by the Washburn equation and the penetration rate constant, K, decreased due to the reduction in pore size as the amount of zirconia rose. Although the optimum strength(308 MPa) of the Spinel/zirconia-glass composites was observed when the zirconia was added up to 20 wt%, K and transmittance decreased as the zirconia content rose. In conclusion, it suggested that the positive effect of strength as a result of the addition of zirconia was not effective.

Modeling of Capillary Filling Length in Silwet L-77 Added Poly(Dimethylsiloxane) (PDMS) Microchannels (Silwet L-77 이 포함된 Polydimethylsiloxane(PDMS) 마이크로 채널의 유동 길이 모델링)

  • Lee, Bom-Yee;Lee, Bong-Kee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.8
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    • pp.823-829
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    • 2014
  • In the present study, simple models were proposed to predict the capillary-driven flow length in a surfactant-added poly(dimethylsiloxane) (PDMS) rectangular microchannel. Owing to the hydrophobic nature of PDMS, it is difficult to transport water in a conventional PDMS microchannel by means of the capillary force alone. To overcome this problem, microchannels with a hydrophilic surface were fabricated using surfactant-added PDMS. By measuring the contact angle change on the surfactant-added PDMS surface, the behavior was investigated to establish a simple model. In order to predict the filling length induced by the capillary force, the Washburn equation was modified in the present study. From the investigation, it was found that the initial rate-of-change of the contact angle affected the filling length. Simple models were developed for three representative cases, and these can be useful tools in designing microfluidic manufacturing techniques including MIcroMolding In Capillaries (MIMIC).

Influence of Sizing Agent on Interfacial Adhesion and Mechanical Properties of Glass Fiber/Unsaturated Polyester Composites (사이징제에 따른 유리섬유/불포화 폴리에스터 복합재료의 계면 접착력과 기계적 물성)

  • 박수진;김택진;이재락;홍성권;김영근
    • Polymer(Korea)
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    • v.24 no.3
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    • pp.326-332
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    • 2000
  • The effects of sizing agent on the final mechanical properties of the glass fiber/unsaturated polyester composites were investigated by contact angle measurements at room temperature. In this work, glass fibers were coated by poly(vinyl alcohol), polyester, and epoxy type sizing agent and each property was compared. Contact angles of the sized glass fiber were measured by the wicking method based on Washburn equation using deionized water and diiodomethane as testing liquids. As an experimental result, the surface free energy calculated from contact angle showed the highest value in case of the glass fiber coated by epoxy sizing agent. From measurements of interlaminar shear strength (ILSS) and fracture toughness ( $K_{IC}$ ) of the composites, it was found that the sizing treatment on fibers could improve the fiber/matrix interfacial adhesion, resulting in growing the final mechanical properties. This was due to the enhanced surface free energy of glass fibers in a composite system.

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Model-Based Simulation Analysis of Wicking Behavior in Hygroscopic Cotton Fabric

  • Hong, Cheol-Jae;Kim, Byung-Jick
    • Journal of Fashion Business
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    • v.20 no.6
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    • pp.66-78
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    • 2016
  • Hygroscopic knitted cotton fabric was found to spontaneously absorb water showing a significantly wide concentration gradient in the absorption direction. A semi-empirical diffusion model was introduced to describe how the wicking behavior compared to the classical capillary model (Washburn's equation), which has been widely used in the textiles industry. The capillary sorption curve and the permeability coefficient, which are key variables for the model equations, were measured using an electronic balance. The concentration profile as a function of the wicking distance and the elapsed time was derived, based on the diffusion model. From the concentration profile, the wicking distance detectable by the human eye or a digital camera with the aid of an image-analysis system, could be described realistically as a function of the time. The classical capillary model could be modified by introducing the tortuous correction factor to match the diffusion model. Wicking models and data-processing techniques in the work could provide useful tools for objectively evaluating the textile's wicking performances.

Evaluation of solid surface properties by analysis of liquid penetration rate into powder bed - Examination of surface free energy -

  • Choi, Woo-Sik;Ha, Jong-Hak
    • Proceedings of the PSK Conference
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    • 2003.10b
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    • pp.236.1-236.1
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    • 2003
  • Evaluation of solid surface properties is very important for formulation of solid dosage form, specially insoluble drugs. The contact angle of insoluble drugs was measured by the penetration rate into powder bed using Washburn equation and wicking method. From the measured contact angle data, the surface free energy value of pharmaceutical powders ${\gamma}$s was divided and analysized into the polar component, ${\gamma}$s$\^$p/ and the dispersion component, ${\gamma}$s$\^$d/. Furthermore, the data was interpreted for acid part, ${\gamma}$s$\^$+/ and base part, ${\gamma}$s$\^$$\square$/ of surface free energy. (omitted)

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Evaluation of Solid Surface Properties by Analysis of Liquid Penetration Rate into Powder Beds (분체층 내 액체 침투속도 해석에 의한 분체 표면성질의 평가)

  • Ha, Jong-Hak;Kim, Seong-Soo;Wang, Lin;Choi, Hee-Kyu
    • Korean Journal of Materials Research
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    • v.18 no.3
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    • pp.128-136
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    • 2008
  • Evaluation of the solid surface properties by an analysis of the liquid penetration rate into powder beds is very important in applications of powder products. The penetration rate is related the surface property in powder beds. In order to analyze the surface property of powders, the contact angle values of several powders were obtained using the Washbun equation and the Wicking method. The surface free energy value ${\gamma}S$ was divided into a polar component ${\gamma}S^p$ and a dispersion component ${\gamma}S^d$. Inorganic powders such as calcite were used as test samples. The effects of the particle size and the type of experimental liquid on the penetration rate were measured. It was confirmed that the surface free energy of the grinding sample is smaller than that of the classification sample.