• Title/Summary/Keyword: Experimental equation

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Analysis of Fluid Flow in Two-dimensional Tank by Finite Difference Method (유한차분법에 의한 2차원 탱크내의 유체유동해석)

  • G.J.,Lee;K.P.,Rhee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.24 no.3
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    • pp.9-16
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    • 1987
  • In this paper, the fluid flow in the two-dimensional tank is analyzed by the Finite Difference Method. The Navier-Stokes equation is modified for the tank fixed coordinate system. For the treatment of the free surface, the Volume of Fluid Method by Hirt and Nichols is adopted. The continuity equation and the Poisson equation which is derived from the Navier-Stokes equation to find the pressure are solved by the Successive-Line-Overrelaxation Method. The comparison of the calculated results with experimental data show a favorable agreement. The fluid flow in the two-dimensional tank can be predicted reasonably before the free surface reaches breaking by this numerical method.

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A Numerical Study on Plastic Shrinkage Cracking of Concrete Slabs (콘크리트 슬래브의 소성수축균열에 대한 해석적 연구)

  • Kwak-Hyo-Gyoung;Ha, Soo-Jun
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.11a
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    • pp.785-788
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    • 2005
  • In this paper, the influence of many factors related to the concrete mixture and the weather condition on plastic shrinkage cracking are analyzed through parametric studies using the numerical models introduced in the companion paper. First of all, through a systematic calculation of bleeding, the relationship between the bleeding constants and concrete mixture is proposed on the basis of the experimental data obtained by many researchers. Moreover, an equation, which can directly determine a critical point at which the evaporation and bleeding is balanced, is introduced, and the efficiency of the introduced equation is verified through the correlation study between the obtained results by the introduced equation and those by the rigorous analyses. The introduced equation can effectively be used to predict and to prevent plastic shrinkage cracking without any rigorous analysis and, in advance, to cope with the sudden changes in the concrete mixture and/or weather condition.

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Modified Equation for Ductility Demand Based Transverse Confining Reinforcement (요구연성도에 따른 횡방향 심부구속철근량 산정식 수정)

  • Son, Hyeok-Soo;Lee, Jae-Hoon;Suh, Suk-Koo;Oh, Myung-Seok;Yoon, Cheol-Kyun
    • Proceedings of the Korea Concrete Institute Conference
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    • 2009.05a
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    • pp.7-8
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    • 2009
  • In this research, comparison and analysis were performed to understand how the cover thickness influences the equation for calculating the amount of confining reinforcement for reinforced concrete columns. And, also, an equation for calculating the amount of confining reinforcement was proposed for reasonable seismic design. In addition, appropriateness and safety of the proposed equation were examined based on the various experimental results performed at home and abroad.

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Investigation on the tunulent flow of the valve jet experimented using a wind tunnel (풍동을 이용한 밸브제트에서 난류제트 유동고찰)

  • ;Rho, Byung Joon
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.5 no.4
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    • pp.257-265
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    • 1981
  • A modified subsonic wind tunnel was employed to investigate the turbulent flow of a valve jet. To effectuate this experimental study, an actual valve and valve seat of a diesel engine were equipped at its outlet (ref. Fig. 3) Theoretically, using the equation of motion of Navier-Stokes in the chlindrical coordinates, the turbulent equation of motion for the incompressible fluid was derived with three assumptions; steady flow (.delta./.delta.t=0), axisymmetry and revolutionary homogeneity(.delta./.delta..phi.=0), no ensemble revolution (V.iden.0). Experimentally, mean and fluctuation velocities have been measured in the redial direction. With a assumption of a non-dimensional velocity distribution equation, a sami-emperical similarity profile equation of the jet flow have been derived, whose empirical constants were deterimed graphically with the data obtained.

Damping Characteristics of a Microcantilever for Radio Frequency-microelectromechanical Switches (RF-MEMS 스위치용 마이크로 외팔보의 감쇠특성)

  • Lee, Jin-Woo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.6
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    • pp.553-561
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    • 2011
  • A theoretical approach is carried out to predict the quality factors of flexible modes of a microcantilever on a squeeze-film. The frequency response function of an inertially-excited microcantilever beam is derived using an Euler-Bernoulli beam theory. The external force due to squeeze-film phenomenon is developed from the Reynolds equation. Slip boundary conditions are employed at the interfaces between the fluid and the structure to consider the gas rarefaction effect, and pressure boundary condition at both ends of fluid analysis region is enhanced to increase the exactness of predicted quality factors. To the end, an approximate equation is derived for the first bending mode of the microcantilever. Using the approximate equation, the quality factors of the second and third bending modes are calculated and compared with experimental results of previously reported work. The comparison shows the feasibility of the current approach.

Variation of Dielectric Constant with the Volume Fraction of Pyrochlore Phae in the PMN-Polychlore Diphasic System ; Application of General Effective Media Equation (Pyrochlore상의 부피분율에 따른 PMN-Pyrochlore 2상 혼합체의 유전율변화;General Effective Media식의 적용)

  • 허강일;김정주;김남경;김진호;조상희
    • Journal of the Korean Ceramic Society
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    • v.30 no.1
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    • pp.78-84
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    • 1993
  • In PMN-pyrochlore phase mixtures, dielectric constant was measured as a function of the volume fraction of pyrochlore phase and considered with general effective media(GEM) equation. For the application of GEM equation to this system, the critical volume fraction(Vc) where connectivity between the perovskite PMN and pyrochlore phase changed from 0-3 to 3-3, was determined based on the each particle size ratio of two phases with microstructural observation. And then the t value was determined from modified percolation powder-law dependence ( K-Kc (V-Vc)t). In the case of applying such values of t and Vc to the GEM equation, which provided a reasonable fit to the measured dielectric constant within the experimental error range.

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A Numerical Analysis of Rarefied Flow of Cylinder Using FDDO (FDDO를 이용한 실린더를 지나는 희박기체의 해석)

  • Ahn M. Y.;Chang K. S.
    • 한국전산유체공학회:학술대회논문집
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    • 1998.05a
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    • pp.138-144
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    • 1998
  • The BGK equation, which is the kinetic model equation of Boltzmann equation, is solved using FDDO(finite difference with the discrete-ordinate method) to compute the rarefied flow of monatomic gas. Using reduced velocity distribution and discrete ordinate method, the scalar equation is transformed into a system of hyperbolic equations. High resolution ENO(Essentially Non-Oscillatory) scheme based on Harten-Yee's MFA(Modified Flux Approach) method with Strang-type explicit time integration is applied to solve the system equations. The calculated results are well compared with the experimental density field of NACA0012 airfoil, validating the developed computer code. Next. the computed results of circular cylinder flow for various Knudsen numbers are compared with the DSMC(Direct Simulation Monte Carlo) results by Vogenitz et al. The present scheme is found to be useful and efficient far the analysis of two-dimensional rarefied gas flows, especially in the transitional flow regime, when compared with the DSMC method.

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NUMERICAL ANALYSIS OF CAVITATION FLOW AROUND OGIVE-CYLINDER AND VENTURI (Ogive-Cylinder 주위와 Venturi에서의 캐비테이션 전산 유동해석)

  • Lee, J.C.;Ahn, B.K.;Kim, D.H.;Kim, C.K.;Park, W.G.
    • 한국전산유체공학회:학술대회논문집
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    • 2007.04a
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    • pp.130-133
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    • 2007
  • A two-phase method in CFD has been developed and is applied to model the cavitation flow. The governing equation system is two-phase Navier-Stokes equation, comprised of the mixture mass, momentum and liquid-phase mass equation. It employs an implicite, dual time, preconditioned algorithm using finite difference scheme in curvilineal coordinates and Chien ${\kappa}-{\varepsilon}$ turbulence equation. The experimental cavitating flows around ogive-cylinder and venturi type objects are employed to test the solver. To prove the capabilities of the solver, several three-dimentional examples are presented.

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A Study of Flow Characteristics using Reynold's Equation on Mass Flow Controller Actuated by Piezoelectric Material (압전체로 구동되는 질량흐름 제어기에서 레이놀즈 방정식을 이용한 유량 특성 연구)

  • Lee, S.K.;Kim, Y.S.
    • Journal of Power System Engineering
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    • v.7 no.3
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    • pp.69-73
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    • 2003
  • In this paper, the relation between displacement of piezoelectric disk and electric field was proposed. From Navier-Stokes equation and Reynold's equation, the relation between flow and gap of plate was determined. This models were further verified by experiments. Based on theoretical study and experimental verification, the proposed model between flow rate and voltage can be used in the design of mass flow controller in gas supplying system.

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Nonlinear Dynamic Analysis of Gear Driving System due to Transmission Error and Backlash (전달오차와 백래쉬에 의한 기어 구동계의 비선형 동특성 해석)

  • 최연선;이봉현;신용호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.1
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    • pp.69-78
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    • 1997
  • Main sources of the vibration in gear driving system are transmission error and backlash. Transmission error is the difference of the rotation between driving and driven gear due to tooth deformation and profile error. Vibro-impacts induced by backlash between meshing gears lead to excessive vibration and noise in many geared rotation systems. Nonlinear dynamic characteristics of the gear driving system due to transmi- ssion error and backlash are investigated. Transmission error is calculated for spur gear. Nonlinear equation of motion for the gear driving system is developed with the calculated transmission error and backlash. Numerical analysis of the equation and the experimental results show the existence of meshing frequency, superharmonic compon- ents. Instability of the gear driving motion is found on the basis of Mathieu equation. Rattle vibration due to backlash is also discussed on the basis if nonlinear jump phenomenon.

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