• Title/Summary/Keyword: Capillary Tension

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Capillary-Gravity waves on the Interface of a Two Layer Fluid-Derivation of K-dV Equation with Higher Order Terms

  • Choi, Jeongwhan
    • Journal of the Chungcheong Mathematical Society
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    • v.5 no.1
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    • pp.151-157
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    • 1992
  • The objective of this paper is to study two dimensional waves on the interface between two immiscible, invicid and incompressible fluid bounded by two rigid varing boundaries when gravity and surface tension appear. By using unfied asymptotic method, a K-dV equation with higher order terms from which many model equations for the fluid domain can be obtained, is derived.

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Effect of Wickability on Low Temperature Dyeing of Wool (염액의 wicking성이 양모의 저온 염색에 미치는 영향)

  • Dho, Seong-Kook
    • Fashion & Textile Research Journal
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    • v.9 no.1
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    • pp.113-118
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    • 2007
  • It is well recognized that the wicking of liquids in a textile fabric takes place mainly through a capillary system composed of the individual fibers. Considering typical dyeing stages, it is thought that a high dye uptake on the fabric probably depends on the wickability. Three kinds of barely water soluble ketones, acetophenone(A), 2-pentanone(2P) and 3-pentanone(3P) were separately dissolved in methanol(M) and then each was mixed with aqueous solution of C. I. Red Acid 114. Wicking heights of dyeing solutions were measured under such conditions that the effect of gravity was negligible. The result could be graphed as a series of straight lines having the form s = $kt^{1/2}$, where s was distance traveled by the solutions, t was time, and k was slope of the line. The surface tension(${\gamma}$) of the ketones had more signifcant effect on the wickability compared to the viscosity(${\eta}$) of them. The greater wickability resulted in the higher dye uptake on the fabric and the order of wickabilty was equal to that of the surface tension(${\gamma}$) and dye uptake on the fabric, A>3P>2P>M.

Development of the Nanofluidic Filter and Nanopore Micromixer Using Self-Assembly of Nano-Spheres and Surface Tension (나노구체의 자기조립 성질과 표면장력을 이용한 나노유체필터 및 나노포어 마이크로믹서)

  • Seo, Young-Ho;Choi, Doo-Sun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.9
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    • pp.910-914
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    • 2007
  • We present a simple and an inexpensive method for the fabrication of a nano-fluidic filter and a nano-pore micromixer using self-assembly of nano-spheres and surface tension. Colloid-plug was formed by surface tension of liquid in a microchannel to fabricate nanofluidic filter. When colloid is evaporated, nano-spheres in a colloid are orderly stacked by a capillary force. Orderly stacked nano-spheres form 3-D nano-mesh which can be used as a mesh structure of a fluidic filter. We used silica nano-sphere whose diameter is $567{\pm}85nm$, and silicon micro-channel of $50{\mu}m$-diameter. Fabricated nano-fluidic filter in a micro-channel has median pore diameter of 158nm which was in agreement with expected diameter of the nano-pore of $128{\pm}19nm$. A nano-pore micromixer consists of $200\;{\mu}m-wide,\;100\;{\mu}m-deep$ micro-channel and self-assembled nano-spheres. In the nano-pore micromixer, two different fluids had no sooner met together than two fluids begin to mix at wide region. From the experimental study, we completely apply self-assembly of nano-spheres to nano-fluidic devices.

An Experimental Study on the Uniform Droplet Production Regions of Light Oil Blended with Fish Oil (어유혼합경유의 균일액상 생성영역에 관한 실험적 연구)

  • Jang, Jae-Eun;Ahn, Soo-Kil
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.28 no.2
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    • pp.164-170
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    • 1992
  • In order to understand and explain the spary combustion, it was necessary to understand the disintegration mechanisms of liquid jet. To understand the disintegration mechanisms of liquid jet, the disintegration phenomena and uniform droplet production regions of testing liquid jet was investigated by means of longitudinally vibration capillary nozzle, which was injected the testing liquids. The testing liquids were light oil and light oil and light oil blended with 25wt% fish oil (File fish oil, Sardine fish oil, Alaska pollac oil) The results can be summarized as follows: 1. The uniform droplet phenomena have been changed according to the frequency of capillary tube, the jet velocity and physical properties of testing oils. 2. Within the region of uniform droplet, Reynold number was increased as Weber number increases. 3. The lower limit of wave length in which uniform droplet was produced 0.8d which was lower than Rayleigh wave length 4. The light oil blended with file fish oil which has lower viscosity and surface tension had the widest uniform droplet production region on the frequency and velocity among testing oils. But light oil blended with sardine fish oil were similar with light oil in the uniform production region.

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A Study of Thermocapillary Migration of a Liquid Slug (열모세관 현상에 의한 액체 슬러그 이동에 관한 연구)

  • Kim, Ho-Young;Kim, Yi-Gu;Kang, Byung-Ha
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.12
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    • pp.1521-1527
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    • 2004
  • Thermocapillary migration of a liquid slug is caused by temperature difference between the ends of a slug. The temperature difference induces the difference of the surface tension coefficient and consequently of capillary pressure between the ends of the slug. Presently available model to predict a velocity of thermocapillary migration adopts the Poiseuille equation which is valid only for a very long slug and neglects the shear stress near the contact line. In the present study, a new model has been developed to consider the shear stress near the contact line so that it can be applied to slugs or drops of general configuration. The experiments using mineral oil with the length to diameter ratio being 10 and a glass capillary were performed. It was found that the liquid slug began to move upon overcoming contact angle hysteresis when the temperature difference reached 35$^{\circ}C$. The results indicate that the new model well predicts the velocity of the liquid slug.

Constitutive Equations for Dilute Bubble Suspensions and Rheological Behavior in Simple Shear and Uniaxial Elongational Flow Fields

  • Seo Dongjin;Youn Jae Ryoun
    • Fibers and Polymers
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    • v.6 no.2
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    • pp.131-138
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    • 2005
  • A theoretical model is proposed in order to investigate rheological behavior of bubble suspension with large deformation. Theoretical constitutive equations for dilute bubble suspensions are derived by applying a deformation theory of ellipsoidal droplet [1] to a phenomenological suspension theory [2]. The rate of deformation tensor within the bubble and the time evolution of interface tensor are predicted by applying the proposed constitutive equations, which have two free fitting parameters. The transient and steady rheological properties of dilute bubble suspensions are studied for several capillary numbers (Ca) under simple shear flow and uniaxial elongational flow fields. The retraction force of the bubble caused by the interfacial tension increases as bubbles undergo deformation. The transient and steady relative viscosity decreases as Ca increases. The normal stress difference (NSD) under the simple shear has the largest value when Ca is around 1 and the ratio Of the first NSD to the second NSD has the value of 3/4 for large Ca but 2 for small Ca. In the uniaxial elongational flow, the elongational viscosity is three times as large as the shear viscosity like the Newtonian fluid.

Parameter identification for the bubble point measurement of Liquid Acquisition Device (액체포집장치의 기포점 측정을 위한 변수식별)

  • Jeon, Sang-Eon;Park, Soo-Hyung;Byun, Yung-Hwan;Jung, Young-Suk;Oh, Seung-Hyub
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2012.05a
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    • pp.416-423
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    • 2012
  • Liquid acquisition device in the liquid propellant supply system is required to protect entrance of gas bubble into the propulsion system. The device exploits the capillary effect of micro-sized poles in a screen and supplies pure liquid-phase propellant to the propulsion system. The bubble point is the most important performance parameter in the design of a liquid acquisition device. In this paper, performance parameters affecting the bubble point are identified through literature survey, in order to develop the experimental setup for the bubble point measurement.

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Effect of Curvature Dependency of Surface Tension on the Result of Pore-Volume Distribution Analysis (동공부피 분포의 계산결과에 미치는 표면장력의 곡률 의존도 효과)

  • Cho Chang-Hyun;Ahn Woon-Sun;Chang Seihun
    • Journal of the Korean Chemical Society
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    • v.16 no.6
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    • pp.341-348
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    • 1972
  • The significance of the curvature dependency correction of surface tension is studied in calculating the pore volume distribution of porous adsorbent from nitrogen adsorption isotherm. That is, Kelvin radii are calculated with curvature dependent surface tension values calculated by Chang et al, and then with these Kelvin radii, pore volume distributions of three porous adsorbents, silica alumina (steam deactivated), silica gel (Davidson 59), and silica gel (Mallinc-krodt Standard Luminescent), are calculated. The results are compared with those obtained by the previous method in which surface tension is taken as constant and also with the others. obtained by the modelless method proposed by Brunauer et al. The maximum point of the distribution curve shift to the larger pore radius, when the curvature dependency is considered. Furthermore, the relative pressure at which capillary condensation commences is by far the lower than that accepted previously. This effect becomes significant as the pore radius approaches to the micropore range.

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Analysis on Forces Acting on the Contact Lens Fitted on the Cornea (콘택트 렌즈에 작용하는 힘의 해석)

  • Kim, Dae-Soo
    • Journal of Korean Ophthalmic Optics Society
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    • v.7 no.2
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    • pp.1-11
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    • 2002
  • A mathematical model is proposed to analyze the force; acting on the hard contact lens fitted on the cornea. The model incorporates the nonlinear equations and their numerical solution program, based on the formulations of surface tension force arising from the capillary action in the tear-film layer between the lens and cornea. The model simulates how the adhesion between lens and cornea varies according to the base curves and diameters of the lenses. When the spherical lens is fitted on the spherical cornea it is to rotate downward due to the weight of lens itself until it reaches an equilibrium position along the cornea where the counter(upward) moment caused by net force between the upper and lower portion of the periphery of lens. It is found that both the adhesion and displacement of lens along the cornea, where the gravity of lens balances the capillary-induced upward force, increases rapidly as the base curve of lens increases, i.e., as the lens gets flatter, while the increase in the diameter of lenses has resulted in the less increase in the rotation and adhesion. With the base curve and diameters of lenses being remained constant the increase in surface tension of tear film yields the increase in the adhesion between the cornea and lens while the initial rotation of lens is inversely proportional to the surface tension of the tear film.

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Flow Phenomena in Micro-channel Filling Process (II) - Numerical Analysis - (마이크로 채널 충전 과정의 유동 현상 (II) - 수치 해석 -)

  • Kim, Dong-Sung;Lee, Kwang-Cheol;Kwon, Tai-Hun;Lee, Seung-S.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.5
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    • pp.657-665
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    • 2003
  • Several interesting results were obtained from the flow visualization experiment in the accompanying paper, Part I. in the present study, Part II, a numerical study has been carried out to explain the detailed flow phenomena in micro-channel filling process. Hele-Shaw flow approximation was applied to the micro-channel geometry based on the small characteristic length. And surface tension effect has been introduced on the flow front as the boundary condition with the help of a dynamic contact angle concept between the melt front and the wall. A dimensional analysis for numerical results was carried out and a strong relationship between dimensionless pressure and Capillary number is obtained. The numerical analysis results are compared with the flow visualization experimental observations. And the numerical system developed in the present study seems to be able to predict the interesting micro-channel filling flow characteristics observed from experiments.