• Title/Summary/Keyword: 모세관 모델

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Prediction of Adiabatic Capillary Tube Length of Heat Pump Using Carbon Dioxide (CO2 히트펌프용 단열 모세관 길이 예측에 관한 연구)

  • Oh, Hoo-Kyu;Choi, Kwang-Hwan;Jeon, Min-Ju;Son, Chang-Hyo
    • Journal of Advanced Marine Engineering and Technology
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    • v.35 no.5
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    • pp.576-581
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    • 2011
  • In this paper, the prediction of adiabatic capillary tube of heat pump using carbon dioxide is investigated theoretically and experimentally to offer the basic design data for the operating parameters of this system. The operating parameters considered in this study include evaporation temperature, cooling pressure of gas cooler, mass flowrate, and the length and diameter of capillary tube. Based on study results of several researchers, the correlation predicting the length of capillary tube of $CO_2$ heat pump was proposed. And the experimental results of evaporation temperature, mass flowrate and cooling pressure in adiabatic capillary tube have an good agreement to those calculated from Eq. (3) within 0.63~10.9%. Therefore, the prediction calculating the length of adiabatic capillary tube of $CO_2$ heat pump was proposed at the given conditions such as cooling pressure, evaporation temperature and capillary tube diameter.

Prediction of adiabatic capillary tube length of a vehicle heat pump using carbon dioxide (수송기계 $CO_2$ 히트펌프용 단열 모세관 길이 예측에 관한 연구)

  • Oh, Hoo-Kyu;Choi, Kwang-Hwan;Son, Chang-Hyo;Jeon, Min-Ju
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2011.06a
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    • pp.277-277
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    • 2011
  • 본 논문은 $CO_2$ 히트펌프용 모세관의 기초 설계자료를 제공하기 위해서 모세관 길이 예측에 대해서 이론 및 실험적으로 조사하였다. 본 연구에서 고려된 작동변수로는 증발온도, 가스냉각기 냉각압력, 냉매유량, 모세관의 관경 등이다. 몇몇연구자들의 자료를 바탕으로 $CO_2$ 모세관 길이를 예측할 수 있는 수학적 모델식을 작성하였다. 그리고 단열 모세관 팽창장치내 $CO_2$의 증발온도, 냉매유량, 냉각압력 등에 대해서 실험한 결과, Fig. 1에 나타낸 것처럼, 모세관 길이가 증가할수록 증발온도는 감소하는 것을 알 수 있다. 그리고 증발온도에 대한 실험값과 예측값의 비교 결과, 실험값이 예측값보다 약간 높게 나타났다. $CO_2$냉매가 모세관내를 통과할 때 플래쉬 가스(flash gas)의 발생으로 인해 액상의 양보다 기상의 양이 많아지고 액상의 압력강하보다 기상의 압력강하가 휠씬 더 크기 때문이다. 또한 증발온도에 대한 실험값과 예측값은 6.5~9.9% 이내에서 좋은 일치를 보였다. Fig. 2에 나타낸 것처럼, 모세관 길이가 증가할수록 냉매유량은 감소하는 것을 알 수 있다. 이는 전술한 바와 같이 모세관 길이가 증가할수록 냉매 압력강하가 더욱더 증가하기 때문이다. 그리고 냉매유량에 대한 실험값과 예측값의 비교 결과, 실험값이 예측값보다 약간 높게 나타났다. 이는 전술한 증발온도와 동일한 이유로 실제 $CO_2$냉매가 모세관내를 통과할 때 플래쉬 가스의 발생량이 많아지기 때문이다. 또한 냉매유량에 대한 실험값과 예측값은 0.64~10.9% 이내에서 좋은 일치를 보였다. Fig. 3에 나타낸 것처럼, 모세관 길이가 증가할수록 냉각압력은 증가하는 것을 알 수 있다. 이는 증발온도가 일정한 경우 모세관 길이가 증가할수록 냉매유량이 감소하여 압축기 토출측 온도(압력)가 상승하기 때문이다. 그리고 냉각압력에 대한 실험값과 예측값의 비교 결과, 실험값이 예측값보다 약간 낮게 나타났으며 실험값과 예측값은 1.04~3.7% 이내에서 좋은 일치를 보였다. 따라서 본 연구에서는 수송기계용 $CO_2$ 열펌프 단열 모세관에 대한 기초설계 자료로서, 냉각압력, 증발온도, 모세관 직경, 냉매유량 등의 조건으로부터 모세관 길이를 계산해낼 수 있는 예측 상관식을 제안하였다.

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Flow Characteristics of R600a in an Adiabatic Capillary Tube (단열 모세관내 R600a의 유동 특성)

  • Ku, Hak-Geun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.2
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    • pp.449-454
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    • 2010
  • In this paper, flow characteristics of R600a in an adiabatic capillary tube were investigated employing the homogeneous flow model. The model is based on fundamental equations of mass, energy and momentum which are solved simultaneously. Two friction factors(Churchill) and viscosity(McAdams) are comparatively used to investigate the flow characteristics. Thermodynamic and transport properties of R600a are calculated employing EES property code. Flow characteristics analysis of R600a in an adiabatic capillary tube is presented to offer the basic design data for the operating parameters. The operating parameters considered in this study include condensation temperature, evaporation temperature, subcooling degree and inner diameter tube of the adiabatic capillary tube. The main results were summarized as follows: condensation and evaporation temperature, inlet subcooling degree and inner diameter tube of an adiabatic capillary tube using R600a have an effect on length of an adiabatic capillary tube. The length of an adiabatic capillary tube using R600a is expressed to the correlation shown in Eq. (15).

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).

Computer Simulation of Viscoelastic Flow in a Capillary Die for Rubber Compounds (모세관 다이에서 고무 복합체의 점탄성 거동에 대한 컴퓨터 모사)

  • Park, Dong-Myung;Kim, Hok-Joo;Yoon, Jae-Ryong;Lyu, Min-Young
    • Elastomers and Composites
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    • v.41 no.4
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    • pp.223-230
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    • 2006
  • Rubber compounds have a high viscoelastic property. One of the viscoelastic behaviors during profile extrusion is the swelling of extrudate, and the amount of swelling varies with operational conditions in extrusion. It is well recognized that the elastic portion in the viscoelastic property plays an important role in the extrudate swell. In this study computer simulation of the die swell at the capillary die for several rubber compounds has been performed using commercial CFD code, Polyflow. A non-linear differential viscoelastic model, Phan-Thien-Tanner (PTT) model, was used in the computer simulation. Non-isothermal behavior was considered in the calculation. Distribution of pressure, velocity and temperature in the reservoir and capillary die, and extrudate profiles were predicted through the simulation. The amount of the die swell fur the different rubber compounds was investigated for various flow rates and three types of length to diameter of the capillary die. It is concluded that the PTT model successfully represented viscoelastic behavior of rubber compounds.

Analysis of Evaporative Heat Transfer in a Porous Layer by Capillary Model (모세관 모델에 의한 다공층내의 증발 열전달 해석)

  • 김홍제;이진호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.2
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    • pp.391-399
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    • 1992
  • The analysis of the evaporative heat transfer in the inclined porous layer (0.deg.<.theta.<90.deg.) is made by using capillary model. The length of the evaporation zone is obtained numerically by integrating the differential equation using a Runge-Kutta algorithm. As a result, the length of the evaporation zone is inverse proportional to the dimensionless number, E(=Re*.phi./cos.theta.) representing the evaporation intensity, and the relationship of these parameters shows linear in the log graph.

Permeability Reduction of Soil Filters due to Physical Clogging (물리적 폐색으로 인한 흙필터의 투수능 저하)

  • ;;;;Reddi, L. N.
    • Journal of the Korean Geotechnical Society
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    • v.17 no.1
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    • pp.15-24
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    • 2001
  • 흙필터는 일반적으로 침식이나 파이핑으로부터 지반 구조물을 보호하기 위하여 사용된다. 세립자들이 유동하여 필터에 퇴적하는 폐색현상이 발생하는 경우, 간극수압이 증가하고 이로 인해 지반구조물의 불안정을 유발시키게 된다. 미세입자의 유동에 의한 폐색현상은 옹벽의 뒤채움재에 설치한 필터, 흙댐의 저부에 설치된 필터, 그리고 터널의 라이닝 뒤에 설치한 필터 등에서 발생할 수 있다. 폐색현상은 필터의 투수능을 저하시켜 배수능력에 상당한 위험을 초래할 수 있다. 본 연구에서는 필터의 폐색으로 인한 투수능 저하 정도를 실험을 통해 관찰하고 이론적인 모델을 통해 정량화 시키고자 하였다. 일정한 농도의 현탁액이 필터로 유입되는 분리형 실험과 현장상태를 모사하는 흙-필터 시스템의 결합형 실험을 통해 투수능의 저하현상이 압력 제어조건과 유량 제어조건에서 관찰되었고, 서로 비교 분석되었다. 미세입자가 통과하는 필터의 간극을 모세관으로 가정한 후 모세관에서 유체의 흐름 원리를 이용하여 물리적인 폐색에 의해 발생하는 투수능 저하현상을 이론적인 모델로 구성하였다. 일반적으로 투수능은 1/10 수준으로 감소되었으며, 분리형 실험에 의한 결과와 이론적인 모델의 결과는 잘 일치하였다. 또한, 결합형 실험결과와 분리형 실험결과가 비교적 잘 일치하여 투수능 저하예측은 분리형 실험이나 이론적 모델에 의하여 가능하리라 판단되었다.

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Strength Estimation Model of Early-Age Concrete Considering Degree of Hydration and Porosity (수화도와 공극률을 고려한 초기재령 콘크리트의 강도 예측 모델)

  • 황수덕;이광명;김진근
    • Journal of the Korea Concrete Institute
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    • v.14 no.2
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    • pp.137-147
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    • 2002
  • Maturity models involving curing temperature and curing ages have been widely used to predict concrete strength, which can accurately estimate concrete strength. However, they may not consider physical quantities such as the characteristics of hydrates and the capillary porosity of microstructures associated with strength development. In order to find out the effects of both factors on a strength increment, the hydration model and the estimation method of the amount of capillary porosity were established, and the compressive strength test of concrete nth various water/cement ratios was carried out considering two test parameters, curing temperature and curing age. In this study, by analyzing the experimental results, a strength estimation model for early-age concrete that can consider the microstructural characteristics such as hydrates and capillary porosity was proposed. Measured compressive strengths were compared with estimated strengths and good agreements were obtained. Consequently, the proposed strength model can estimate compressive strength of concrete with curing age and curing temperature within an acceptable error.

Theory of Capillarity of Laplace and birth of Mathematical physics (라플라스 모세관이론과 수학물리학의 태동)

  • Lee, Ho-Joong
    • Journal for History of Mathematics
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    • v.21 no.3
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    • pp.1-30
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    • 2008
  • The success of Newton's Gravitational Theory has influenced the theory of capillarity, beginning in the early nineteenth century, by providing a major model of molecular attraction. He used the equation of the attraction of spheroids, which is expressed by second order partial differential equations, to utilize this analogy as the same kind of a particle's force, between gravitational, refractive force of light, and capillarity. The solution of the differential equation corresponds to the geometrical figure of the vessel and the contact angle which is made by the fluid. Unknown abstract functions $\varphi(f)$ represent interaction forces between molecules, giving their potential functions. By conducting several kinds of experimental conditions, it was found that the height of the ascending fluid in the tube is inversely proportional to the rayon of the tube or the distance of the plate. This model is an essential element in the theory of capillarity. Laplace has brought Newtonian mechanics to completion, which relates to the standard model of gravitational theory. Laplace-Young's equation of capillarity is applicable to minimal surfaces in mathematics, to surface tensional phenomena in physics, and to soap bubble experiments.

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Fabrication of polymer hierarchical structures by two-step temperature-directed capillary (2단계 모세관 리소그라피 기술을 이용한 마이크로/나노 병합구조 공정 기술 및 수학적 모델을 통한 표면 특성 분석)

  • Jeong H.E.;Lee S.H.;Kim J.K.;Suh K.Y.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.272-274
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    • 2005
  • A simple method for fabricating micro/nanoscale hierarchical structures is presented using a two-step temperature-directed capillary molding technique. This lithographic method involves a sequential application of molding process in which a uniform polymer-coated surface is molded with a patterned mold by means of capillary force above the glass transition temperature of the polymer. Using this approach, multiscale hierarchical structures for biomimetic functional surfaces can be fabricated with precise control over geometrical parameters and the wettability of a solid surface can be designed in a controllable manner.

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