• Title/Summary/Keyword: Viscosity Force

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ANALYSIS OF THE VLASOV-POISSON EQUATION BY USING A VISCOSITY TERM

  • Choi, Boo-Yong;Kang, Sun-Bu;Lee, Moon-Shik
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.3
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    • pp.501-516
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    • 2013
  • The well-known Vlasov-Poisson equation describes plasma physics as nonlinear first-order partial differential equations. Because of the nonlinear condition from the self consistency of the Vlasov-Poisson equation, many problems occur: the existence, the numerical solution, the convergence of the numerical solution, and so on. To solve the problems, a viscosity term (a second-order partial differential equation) is added. In a viscosity term, the Vlasov-Poisson equation changes into a parabolic equation like the Fokker-Planck equation. Therefore, the Schauder fixed point theorem and the classical results on parabolic equations can be used for analyzing the Vlasov-Poisson equation. The sequence and the convergence results are obtained from linearizing the Vlasove-Poisson equation by using a fixed point theorem and Gronwall's inequality. In numerical experiments, an implicit first-order scheme is used. The numerical results are tested using the changed viscosity terms.

Comparative Study of Needle Sensations in $ST_{36}$ and 6 Models with Quantifying Measurement System (정량적 측정 시스템을 이용한 족삼리와 6가지 모델의 침감 비교 연구)

  • Han, Ye Ji;Jo, Su Jeong;Son, Young Nam;Lee, Soo Yoon;Kim, Kap Sung;Lee, Seung Deok
    • Journal of Acupuncture Research
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    • v.30 no.5
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    • pp.87-94
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    • 2013
  • Objectives : In this study, we intended to make the foundation of the development of acupuncture tissue model as comparing the needle sensation of six kinds of tissue models and Zusanli ($ST_{36}$) with the needle force measurement system. Methods : When practitioners did twisting-rotating acupuncture needle manipulation after inserting the needle into six kinds of tissue models, they quantified the similarity sense to the sensation of Zusanli ($ST_{36}$) with the NRS (Numeric Rating scale). As needle force measurement system did twisting-rotating Acupuncture needle manipulation after inserting needle into Zusanli ($ST_{36}$) of human and six kinds of tissue models, it can calculate the coefficient of viscosity by measuring the torsion friction. We compare the NRS of practitioners' needle sensation to the coefficient of viscosity of needle force measurement systems. Result : As practitioners' NRS assessment to quantify needle sensation, apple and cucumber showed 70% similarity to Zusanli ($ST_{36}$). As needle force measurement system's coefficient of viscosity, apple and cucumber's coefficient of viscosity were similar to Zusanli ($ST_{36}$)'s. Conclusions : In this study, We compared the practitioners' needle sensation of Zusanli ($ST_{36}$) and six kinds of tissue models with needle force measurement system that can quantify the needle sensation. As the result, we concluded that practitioners' needle sensation is similar to measured needle sensation. It seems that the acupuncture practice model implementing the needle sensation to specific acupuncture points can be built based on the system in this study.

Dynamic behavior of a supporting structure subjected to a force of time dependent frequency (시간종속적 하중이 작용하는 구조물의 동특성)

  • 정태진;박영조
    • Journal of the korean Society of Automotive Engineers
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    • v.8 no.4
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    • pp.66-72
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    • 1986
  • Numerical analysis has been made on the dynamic behavior of a supporting structure subjected to a force of time dependent frequency. The effect of solid viscosity is studied when the frequency of external force passes through the first critical frequency of the simple beam for four times. Within the Euler-Bernoulli beam theory, the solutions are obtained by using finite Fourier and Laplace transformation methods with respect to space and time variables. The result shows that the maximum value of the dynamic deflection is considerably affected by the value of the solid viscosity as well as the frequency difference The maximum dynamic deflection is found to occur in the frequency lower limit C of 0.85-0.985 in the presence of the solid viscosity.

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An Experimental Study on Frictional Characteristics of the Piston Ring (피스톤 링 마찰 특성의 실험적 연구)

  • Lee, Jae-Seon;Han, Dong-Chul
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.6
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    • pp.115-122
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    • 1999
  • A friction tester to measure friction force generated at the interface between the piston ring and the cylinder liner was developed. Modified piston ring is bar-shaped and 100mm long. Surface of the modified piston ring is machined by the profile grinding machine to be formed as a shape of an arc of a circle. Measured data are treated as mean effective friction force and power loss. From this test it can be confirmed that friction force is deeply affected by surface shape of the piston ring and viscosity of supplied oil. Friction force is deeply affected by surface shape of the piston ring and viscosity of supplied oil. Friction force is decreased and power loss is increased with increasing velocity. And it is known that region of mixed lubrication is broader than estimated with theoretical analysis. it is expected that this tester can be used as the optimization tool of the surface shape of the piston ring at the first stage of development of the piston rings.

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Friction Force Measurement of Elastohydrodynamic Lubrication with Viscosity Index Improvers (탄성유체윤활 영역에서 점도지수 향상제의 첨가량에 따른 마찰력 측정연구)

  • Kong, Hyun-Sang;Jang, Si-Youl;Park, Kyoung-Kuhn
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.05a
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    • pp.267-271
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    • 2002
  • Most studies of elsatohydrodynamic lubrication are oriented only to the measurement of film thickness itself with optical interferometer. In order to exactly investigate the characteristics of a certain lubricant, it is also important to get the information of traction force as well. In this work, we developed the device for measuring friction force of ehl contact condition together with the film thickness. To verify the validity of the measuring system, the friction force and film thickness under ehl condition are measured with the variation of additive ratios of viscosity index Improvers.

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Experimental Study on the Friction Effect of Viscosity Index Improver under EHL Contact Condition

  • Kong, Hyun-Sang;Jang, Si-Youl
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.10b
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    • pp.91-92
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    • 2002
  • Most studies of elsatohydrodynamic lubrication are oriented only to the measurement of film thickness itself with optical interferometer. In order to exactly investigate the characteristics of a certain lubricant under the condition of additives. especially for traction performance. it is also important to get the information of traction force as well. In this work. we developed the device for measuring friction force of EHL contact condition, which can trace the film thickness over the contact area with optical interferometer. To verify the validity of the measuring system, the friction force and film thickness under EHL condition are measured with the variation of additive ratios of viscosity Index improvers.

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Numerical analysis on heat transfer due to buoyancy force of viscoelastic fluid (점탄성 유체의 부력에 의한 열전달 수치해석)

  • Ahn S. T.;Sohn C. H.;Shin S. H.
    • Journal of computational fluids engineering
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    • v.4 no.2
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    • pp.9-16
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    • 1999
  • The present study investigates flow character and heat transfer behaviors of viscoelastic non-Newtonian fluid in a 2:1 rectangular duct. An axially-constant heat flux on bottom wall and peripherally constant temperature boundary condition(H1) was adopted. The Reiner-Rivlin fluid model is used as the normal stress model for the viscoelastic fluid and temperature-dependent viscosity model is adopted. The present results show a signifiant change of the main flow field which causes a large heat transfer enhancement. This phenomena can be explained by the combined effect of buoyancy, temperature-dependent viscosity and viscoelastic property on the flow.

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A Study on a Concept and Basic Design of a Small-Scaled LSM for Ultra-High Speed Railway Transit (초고속열차용 축소모델 선형동기전동기의 개념 및 기본설계 연구)

  • Park, Chan-Bae;Lee, Hyung-Woo;Lee, Byung-Song;Park, Hyun-June
    • Proceedings of the KSR Conference
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    • 2009.05a
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    • pp.905-911
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    • 2009
  • The viscosity drive method by the wheel which is widely used in the conventional railway systems needs a large friction force between the wheel and the guide-rail, which brings on a thrust force for a quick acceleration and a high-speed travelling. In addition, the viscosity drive method needs an increase of the vehicle weight for a large friction force. However, a maglev train is possible to be driven by the electro-magnet instead of the wheel, which produces a levitation and thrust force without any contact. In general, low-speed maglev train uses a linear induction motor(LIM) for propulsion that is operated under 300[km/h] due to the power-collecting and end-effect problems of LIM. In case of high-speed maglev train, a linear synchronous motor(LSM) is more suitable than LIM because of a high-efficiency and high-output properties. LSM has a driving principle as same as a conventional rotary synchronous motor(RSM), and the torque of RSM becomes the thrust force of LSM. A conventional LSM has relatively large air-gap compared with a conventional RSM. So, it must be achieved a design that is considered normal force by finite-asymmetric structure, end-effect on the entry and exit part, and support structure of a moving part. Therefore, in this research, authors accomplish a conceptualizing and basic design of a small-scaled LSM, and characteristics analysis using FEM.

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A research about micro size polymer bead injecting process based on electrostatic force (정전기력 기반의 마이크로 사이즈 폴리머 비드 주입 공정 연구)

  • Yang, Bong-Su;Yang, Sung-Wook;Ko, Jung-Bum;Choi, Kyung-Hyun;Doh, Yang-Hoi
    • Journal of Power System Engineering
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    • v.20 no.2
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    • pp.43-50
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    • 2016
  • This research proposal is based on a novel non-contact technique of micro-sized bead injection process for fabrication of electronic paper display. This non-contact injection process is based on the principle of electrostatic force and uses micro-sized metal-coated beads dispersed in a solution. The dispersion retention times of three different solutions with viscosities of 10 cps, 100 cps, and 1000 cps were measured by optical equipment showing the retention times of 5 mins, 10 mins, and 30 mins respectively. The dispersion retention rate dropped as the time passed. The dispersion retention characteristic of 1000 cps solution was more stable as compared to those of 10 cps and 100 cps meaning that higher viscosity has better retention properties. The experimental results of bead injection at different viscosity levels of the solution were also measured and a stable injection result was achieved by using 1000 cps solution. This results show that stable injection is dependent on solution viscosity and dispersion.

Wave Transformation using Modified FUNWAVE-TVD Numerical Model (수정 FUNWAVE-TVD 수치모형을 이용한 파랑변형)

  • Choi, Young-Kwang;Seo, Seung-Nam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.27 no.6
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    • pp.406-418
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    • 2015
  • The present modified FUNWAVE-TVD model, which is a modification to its previous version 2.1, is applied to solitary wave propagation and is tested against the experiments of Vincent and Briggs(1989) and Luth et al.(1994). The eddy viscosity breaking scheme is used for comparison with the existing study in the case of breaking experiment. The symmetry of wave-induced current is maintained when the modified model is employed to Vincent and Briggs(1989) breaking experiment, but the symmetry of wave-induced current in previous model is not maintained. A better agreement with the breaking experimental data is obtained in the modified model using eddy viscosity breaking scheme than the shock capturing breaking scheme using nonlinear shallow water equation. For comparison with the schemes in the model, the fourth order MUSCL-TVD scheme by Erduran et al.(2005) and the third order MUSCL-TVD scheme using minmod limiter is applied, and the numerical solutions of solitary wave are compared.