• Title/Summary/Keyword: Capillary theory

Search Result 34, Processing Time 0.028 seconds

Study on the dynamics of capillary rise between elastic sheets (탄성박판간의 모세관 상승운동에 관한 연구)

  • Ahn, Won-Jin;Kim, Ho-Young
    • Proceedings of the KSME Conference
    • /
    • 2007.05b
    • /
    • pp.2743-2746
    • /
    • 2007
  • When a small tube is dipped into a liquid surface, surface tension forces cause the liquid in the tube to rise vertically against the gravity. When the tube is flexible, hydrostatic pressure difference caused by the capillary flow deforms the tube and the deformation which narrows the flow route changes the rising velocity. We study a simple model of this elastocapillary interaction in the context of the surface-tension-driven vertical rise of a liquid between two long flexible hydrophilic sheets that are held a small distance apart at one end. We provide an analytical theory for the rise rate of the liquid and show that our experiments are consistent with the theory.

  • PDF

APPLICATIONS OF PORE AND GRAIN-SIZE DISTRIBUTIONIN RECOVERY OF LNAPLS IN SOILS (토양속의 LAPLs 제거기슬에서의 Pore와 입도분포의 응용에 관한 연구)

  • Lee, Kwang-Y.
    • Proceedings of the Korean Geotechical Society Conference
    • /
    • 1992.12a
    • /
    • pp.19-32
    • /
    • 1992
  • Objectives of this study are : 1) to utilize capillary theory and obtain pore-size distribution profiles from moisture-suction relationships using Laplace theory. 2) to investigate the behavior of Light Non-Aqueous Phase Liquids(LNAPLs) in the subsurface environment and to develop several predictive relationships which can be used to assess the effectiveness of various LNAPLs remediation technologies. The relationship to predict pore-size distribution function expressed in differencial equation is found by using capillary theory. Also, experiments are conducted to : the various LNAPLs subjected to vadose zone drainage, groundwater table drainage, waterflooding with surfactants. The experiments are performed with #2 heating oil, jet fuel. and kerosene. Several relationships have been derived describing the effect of various properties and process parameters on the LNAPL residual saturation.

  • PDF

Experimental Analysis of the Effect of Phase Change at the Entrance of a Capillary Tube by Sub-cooling Control on Refrigerant-induced Noise (과냉도에 따른 모세관 입구단에서의 냉매 상태 변화가 냉장고 냉매 소음에 미치는 영향의 실험적 분석)

  • Oh, Young-Hoo;Kim, Min-Seong;Han, Hyung-Suk;Kim, Tae-Hoon;Jeong, Weui-Bong
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.22 no.12
    • /
    • pp.1184-1190
    • /
    • 2012
  • This study is focused on the experimental analysis of the noise induced by phase change of refrigerant at the entrance of capillary tube. The refrigerant is usually two-phase condition when it flowed into the capillary tube. At the entrance of capillary tube, the phase condition of refrigerant is formed by sub-cool control. If it has sufficient sub-cool temperature, all of the vapor refrigerants turned to liquid, which means there is only liquid. Otherwise, the gas is coexisted. Based on this theory, we experiment on each case by changing sub-cool temperature using refrigerant-supplying equipment. The noise level is measured for each case and compared.

Adsorbed Water in Soil a Interpreted by Its Potentials Based on Gibbs Function (Gibbs 함수의 포텐샬로 해석한 토양 흡착수)

  • 오영택;신제성
    • Journal of the Mineralogical Society of Korea
    • /
    • v.9 no.1
    • /
    • pp.17-25
    • /
    • 1996
  • Usual experimental adsorption isotherms as a function of relative humidity were constructed from adsorbed water contents in soils, which were kept more than 2 days in vacuum desiccators with constant humidities controlled by sulfuric acids of various concentrations. From the experimental data, the adsorption surface areas were calculated on the basis of the existing adsorption theory, such as Langmuir, BET, and Aranovich. Based on the Gibbs function describing chemical potential of perfect gas, the relative humidities in the desiccators were transformed into their chemical potentials, which were assumed to be the same as the potentials of equilibratedly adsorbed water in soils. Moreover, the water potentials were again transformed into the equivalent capillary pressures, heads of capillary rise, and equivalent radius of capillary pores, on the basis of Laplace equation for surface tension pressure of spherical bubbles in water. Adsorption quantity distributions were calculated on the profile of chemical potentials of the adsorbed water, equivalent adsorption and/or capillary pressures, and equivalent capillary radius. The suggested theories were proved through its application for the prediction of temperature rise of sulfuric acid due to hydration heat. Adsorption heat calculated on the basis of the potential difference was dependant on various factors, such as surface area, equilibrium constants in Langumuir, BET, etc.

  • PDF

A stability analysis of oil film on an adhesion-type oil skimmer (흡착식 유회수기 표면에 부착된 유막의 안정성 해석)

  • 현범수;김장환
    • Journal of the Korean Society of Marine Environment & Safety
    • /
    • v.3 no.2
    • /
    • pp.85-92
    • /
    • 1997
  • To determine an operational condition of an adhesion-type oil skimmer, it is important to estimate the withdrawal rate for a given driving velocity of the skimmer and material properties of the oil. As a theoretical model for this problem the formation of an oil film on a vertically driven flat plate is investigated. The previous steady-state analysis made in the field of coating industry are reviewed. These studies have been made under the assumptions of small Reynolds and capillary number, which is adequate for coating process but not for oil skimming. An alternative analysis based on the linear stability theory is made. Comparisons with the experimental results reveal that the stability analysis gives a correct estimation of the withdrawal rate for high capillary number at which the previous theory losses its validity.

  • PDF

Analysis on the free surface flow induced by a pair of source-sink in Stokes flow (스톡스 유동장 내의 한 쌍의 소오스-싱크에 의한 자유표면 유동해석)

  • Jeong, Jae-Tack;Park, Jong-Sun
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2008.03b
    • /
    • pp.304-307
    • /
    • 2008
  • Two-dimensional Stokes flow due to the line source and line sink of same strength in semi-infinite flow region with free surface is analysed using complex variable theory and conformal mapping. Surface tension effects are included while gravity is neglected. From the results of analysis, flow pattern and free surface shape are obtained and velocity distribution on the free surface is determined with 2 independent parameters Ca (capillary number) and h (non-dimensionalized distance between source and sink). When the location of the sink is above the source, velocity on the free surface converges and a cusp occurs on the free surface for the value of Ca above some critical capillary number.

  • PDF

Surface energy assisted gecko-inspired dry adhesives

  • Rahmawan, Yudi;Kim, Tae-Il;Kim, Seong-Jin;Lee, Kwang-Ryeol;Moon, Myoung-Woon;Suh, Kahp-Yang
    • Proceedings of the Korean Vacuum Society Conference
    • /
    • 2011.02a
    • /
    • pp.449-449
    • /
    • 2011
  • We reported the direct effect of intrinsic surface energy of dry adhesive material to the Van der Waals and capillary forces contributions of the total adhesion force in an artificial gecko-inspired adhesion system. To mimic the gecko foot we fabricated tilted nanohairy structures using both lithography and ion beam treatment. The nanohairy structures were replicated from Si wafer mold using UV curable polymeric materials. The control of nanohairs slanting angles was based on the uniform linear argon ion irradiation to the nanohairy polymeric surface. The surface energy was studied utilizing subsequent conventional oxygen ion treatment on the nanohairy structures which resulted in gradient surface energy. Our shear adhesion test results were found in good agreement with the accepted Van der Waals and capillary forces theory in the gecko adhesion system. Surface energy would give a direct impact to the effective Hamaker constant in Van der Waals force and the filling angle (${\varphi}$) of water meniscus in capillary force contributions of gecko inspired adhesion system. With the increasing surface energy, the effective Hamaker constant also increased but the filling angle decreased, resulting in a competition between the two forces. Using a simple mathematical model, we compared our experimental results to show the quantitative contributions of Van der Waals and capillary forces in a single adhesion system on both hydrophobic and hydrophilic surfaces. We found that the Van der Waals force contributes about 82.75% and 89.97% to the total adhesion force on hydrophilic and hydrophobic test surfaces, respectively, while the remaining contribution was occupied by capillary force. We also showed that it is possible to design ultrahigh dry adhesive with adhesion strength of more than 10 times higher than apparent gecko adhesion force by controlling the surface energy and the slanting angle induced-contact line of dry adhesive the materials.

  • PDF

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
    • /
    • v.6 no.2
    • /
    • pp.131-138
    • /
    • 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.

Tailored Powder Composites by Freeze Drying, Electrophoretic Deposition and Sintering

  • Olevsky, Eugene A.;Wang, Xuan
    • Proceedings of the Korean Powder Metallurgy Institute Conference
    • /
    • 2006.09a
    • /
    • pp.287-288
    • /
    • 2006
  • Two approaches for the fabrication of tailored powder composites with specially distributed pore-grain structure and chemical composition are investigated. Electrophoretic Deposition (EPD) followed by microwave sintering is employed to obtain functionally graded materials (FGM) by in-situ controlling the deposition bath suspension composition. $Al_2O_3/ZrO_2$ and zeolite FGM are successfully synthesized using this technique. In order to fabricate an aligned porous structure, unidirectional freezing followed by freeze drying and sintering is employed. By controlling the temperature gradient during freezing of powder slurry, a unidirectional ice-ceramic structure is obtained. The frozen specimen is then subjected to freeze drying to sublimate the ice. The obtained capillary-porous ceramic specimen is consolidated by sintering. The sintering of the graded structure is modeled by the continuum theory of sintering.

  • PDF

Prediction of Tensile Strength of Wet Sand (I) : Theory (습윤 모래에서 인장강도의 예측 (I) : 이론)

  • Kim, Tae-Hyung
    • Journal of the Korean Geotechnical Society
    • /
    • v.24 no.6
    • /
    • pp.27-35
    • /
    • 2008
  • At low normal stress levels tensile strength of sand varies with either saturation or suction of soil in an up-and-down manner with a peak tensile strength that can occur at any degree of saturation. A theory that accurately predicts tensile strength of wet sand is presented. A closed form expression for tensile strength unifies tensile strength characteristics in all three water retention regimes: pendular, funicular, and capillary. Three parameters are employed in the theory; namely, the Internal friction angle (at low normal stress) ${\phi}_t$, the inverse value of the air-entry pressure ${\alpha}$, and the pore size spectrum parameter n. It is shown that the magnitude of peak tensile strength is dominantly controlled by the ${\alpha}$ parameter. The saturation at which peak tensile strength occurs only depends on the pore size spectrum parameter n.