• Title/Summary/Keyword: Simplified Equation

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UNDERSTANDING OF NAVIER-STOKES EQUATIONS VIA A MODEL FOR BLOOD FLOW

  • Choi, Joon-Hyuck;Kang, Nam-Lyong;Choi, Sang-Don
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.11 no.1
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    • pp.31-39
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    • 2007
  • A pedagogic model for blood flow is introduced to help medicine majors understand a simplified version of Navier-Stokes equations which is known to be a good tool for interpreting the phenomena in blood flow. The pressure gradient consists of a time-independent part known as Hagen-Poiseuille's gradient and a time-dependent part known as Sexl's, and the model formula for the volume rate of blood flow is reduced to a very simple form. For demonstration, the blood rate in human aorta system is analyzed in connection with the time-dependence of pressure gradient. It is shown for Sexl's part that the flow rate lags the pressure gradient by ${\pi}/2$, which is thought to be due to the relaxation process involved.

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자동차 시트 및 마네킹 시스템의 자유 진동

  • Kim, Seong-Keol
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.9
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    • pp.109-121
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    • 2000
  • A simplified modeling approach of free vibration for occupied car seats was demonstrated to be feasible. The model consisting of interconnected masses springs and dampers was initially broken down into subsystems and experiments conducted to determine approximate values for model parameters. Which were each stiffness and damping value. Nonlinear equations of motion were derived and model parameters obtained in experiments were applied to these equations. A mathematical model of free vibration for car seat and mannequin system was built with 7 degrees of freedom. in order to calculate natural frequencies and the corresponding mode shapes. linear equations of motion were obtained through linearization. In order to explore the effects of each model parameter free vibration analysis were preformed.

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Studies on Expression Operations of Filter Cakes (여과케이크의 압착탈수조작에 관한 연구)

  • Cho, Jun-Hyung
    • Journal of the Korean Wood Science and Technology
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    • v.18 no.1
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    • pp.3-9
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    • 1990
  • Expression is on operation of separating liquid from solid liquid mixtures which has long been used on a universal scale in widely divergent fields. In fruit pulps processing and fermentation industries. removal of a portion of the liquid in filler cake is essential to the maximum yields of products. In sewage sludge treatments, dewatering of filter cakes is important to disposal by incineration. transportation. and landfill. In the chemical process industries, drying of wet cakes increases cost, and it is desirable to eliminate as much liquor as possible by non-thermal methods. This paper is mainly concerned with the development of a simplified equation for constant-pressure expression.

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A simplified analysis of the behavior of suspension bridges under live load

  • Stavridis, Leonidas T.
    • Structural Engineering and Mechanics
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    • v.30 no.5
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    • pp.559-576
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    • 2008
  • Having established the initial geometry and cable force of a typical three span suspension bridge under permanent load, the additional maximum response of the cable and the stiffening girder due to live load are determined, by means of an analytic procedure, considering the girder first hinged at its ends and then continuous through the main towers. The problem of interaction between the cable and the stiffening girder is examined taking under due consideration the second order effects, whereby, through the analogy to a fictitious tensioned beam under transverse load, a closed -form solution is achieved by means of a simple quadratic equation. It is found that the behavior of the whole system is governed by five simple dimensionless parameters which enable a quick determination of all the relevant design magnitudes of the bridge. Moreover, by introducing these parameters, a set of diagrams is presented, which enable the estimation of the influence of the geometric and loading data on the response and permit its immediate evaluation for preliminary design purposes.

Mathematical Model for Power Transmission - Vehicle System Coupling Analysis (동력전달계와 차량계의 연성 해석을 위한 수학적 모델의 개발)

  • Kong, Jin-Hyung;Park, Jin-Ho;Jo, Han-Sang;Park, Yeong-Il;Lee, Jang-Moo
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.696-701
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    • 2000
  • In this study, a mathematical model fur analyzing the shift characteristics is proposed. The proposed model comprises power transmission system and vehicle system, which are coupled. And On-road car test is carried out in order to extract model parameters. Tile model is composed of a detailed powertrain, an engine/AT housing, a simplified suspension system. tires and a vehicle body model. On the test, the vehicle accelerations and pitch ratio are measured by using accelerometers and gyro sensor. The other data, for example speeds, a throttle position and a brake signal, are taken from sensors which already exist in the vehicle. Using natural frequency and characteristic equation, vehicle model parameters are extracted from experimental data.

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The Analysis of the Current Distribution in a Perfect Conductor Scatterer Using SEM (SEM을 이용한 완전도체 산란체의 전류분포 해석)

  • 박동희;이승호;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.11 no.5
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    • pp.323-331
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    • 1986
  • By solving the current distribution, natual frequencies, and the amplitude of natural modes about the perfect conducting scatterer of revolution are presented. Singularity expansion method is applied to slove the time-domain response based on the simplified E-field integral equation by the application of the extended boundary conditin for the perfect conductin scatterer of revolution.

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Transported PDF Model for Turbulent Nonpremixed Flames (수송 확률밀도함수모델을 이용한 비예혼합 난류화염장 해석)

  • Lee, Jeong-Won;Seok, Joon-Ho;Kim, Yong-Mo
    • Journal of the Korean Society of Combustion
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    • v.14 no.2
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    • pp.32-41
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    • 2009
  • The transported probability density function model combined with the consistent finite volume (FV) method has been applied to simulate the turbulent bluff-body reacting flows. To realistically account for the non-isotropic turbulence effects on the turbulent bluff-body reacting flows, the present PDF transport approach is based on the joint velocity- turbulent frequency-composition PDF formulation. The evolution of the fluctuating velocity of a particle is modeled by a simplified Langevin equation and the particle turbulence frequency is represented by the modified Jayesh - Pope model. Effects of molecular diffusion are represented by the interaction by exchange with the mean (IEM) mixing model. To validate this hybrid FV/PDF transport model, the numerical results are compared with experimental data for the turbulent bluff-body reacting flows.

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Three-Dimensional Numerical Analysis of Spinning Detonation Wave (Spinning Detonation 파의 3차원 수치 해석)

  • Cho, Deok-Rae;Choi, Jeong-Yeol;Won, Su-Hee
    • 한국연소학회:학술대회논문집
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    • 2006.04a
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    • pp.205-212
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    • 2006
  • Three-dimensional numerical study was carried out for the investigation of the detonation wave structures propagating in tubes. Fluid dynamics equations and conservation equation of reaction progress variable were analyzed by a MUSCL-type TVD scheme and four stage Runge-Kutta time integration. Chemical reaction was modeled by using a simplified one-step irreversible kinetics model. The variable gas properties between unburned and burned states were considered by using variable specific heat ratio formulation. The unsteady computational results in three-dimension show the detailed mechanisms of rectangular and diagonal mode of detonation wave instabilities resulting same cell length but different cell width in smoked-foil record. The results for the small reaction constant shows the spinning mode of three-dimensional detonation wave dynamics, which was rarely observed in the previous numerical simulation of the detonation waves.

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On Application of Optimization Scheme To Direct Numerical Analysis Of Slider

  • Hwang, Pyung;Khan, Polina;Pan, Galina
    • KSTLE International Journal
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    • v.5 no.1
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    • pp.23-27
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    • 2004
  • The object of the present work is the numerical analysis of the computer hard disk slider. The pressure between slider and disk surfaces is calculated using the Boundary Fitted Coordinate System and Divergence Formulation for the nonlinear Reynolds' equation solution. The optimization scheme is applied to search for the steady state position of the slider. The simplified method is given for the case of the fixed inclined pad. The film thickness ratios and pitching and rolling angles are considered as alternative choice of the slider's coordinates. The behavior of the objective function for the Negative Pressure slider is studied in details. Methods of conjugate directions and feasible directions are applied.

A Study on the Vibration Reduction of an Automobile Fuel Pump (자동차용 연료펌프의 진동 저감에 대한 연구)

  • Kim, Byeong Jin;Won, Hong In;Lee, Seong Won;Park, Sang Jun;Chung, Jintai
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2013.04a
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    • pp.772-777
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    • 2013
  • This article presents the reduction of vibration generated by an automobile fuel pump. In order to analysis the vibration of the fuel pump, a simplified dynamic model is established, which is composed of a rigid rotor and a equivalent springs. The equivalent stiffnesses of the upper and lower assemblies are evaluated by the comparison of modal testing results and the finite element analysis. the stiffness for the oil film of the journal bearing is extracted by using Reynold's equation. In addition, the time responses for the vibration of the fuel pump are computed by using a commercial multi-body dynamics software, RecurDyn. Based on these results, some design suggestions are proposed to reduce the vibration of an automobile fuel pump.

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