• Title/Summary/Keyword: The Boltzmann equation

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Analysis of Filtration Performance by Brownian Dynamics (Brownian Dynamics 를 이용한 입자 포집 과정 및 여과 성능 해석)

  • Bang, Jong-Geun;Yoon, Yoong-Sup
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.10
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    • pp.811-819
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    • 2009
  • In the present study, deposition of discrete and small particles on a filter fiber was simulated by stochastic method. Trajectory of each particle was numerically solved by Langevin equation. And Lattice Boltzmann method (LBM) was used to solve flow field around the filter collector for considering complex shape of deposit layer. Interaction between the flow field and the deposit layer was obtained from a converged solution from an inner-loop calculation. Simulation method is properly validated with filtration theory and collection efficiency due to different filtration parameters are examined and discussed. Morphology of deposit layer and its evolution was visualized in terms of the particle size. The particle loaded effect on collection efficiency was also discussed.

Simulation of particle filtration by Brownian dynamics (Brownian dynamics 를 이용한 입자 포집 모사)

  • Bang, Jong-Geun;Yoon, Yoong-Sup
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1922-1927
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    • 2008
  • In the present study, deposition of discrete and small particles, which diameter is less than $1{\mu}m$, on a filter element was simulated by stochastic method. Trajectory of each particle was numerically solved by Langevin equation and Brownian random motion was treated by Brownian dynamics. Lattice Boltzmann method (LBM) was used to solve flow field around the filter collector and deposit layer. Interaction between flow field and deposit layer was obtained from a converged solution from an inner-loop calculation. Simulation method is properly validated and collection efficiency due to different filtration parameters are examined and discussed. Morphology of deposit layer and its evolution was visualized in terms of the particle size. The particle loaded effect on collection efficiency was also discussed.

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Compact Model of a pH Sensor with Depletion-Mode Silicon-Nanowire Field-Effect Transistor

  • Yu, Yun Seop
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.14 no.4
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    • pp.451-456
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    • 2014
  • A compact model of a depletion-mode silicon-nanowire (Si-NW) pH sensor is proposed. This drain current model is obtained from the Pao-Sah integral and the continuous charge-based model, which is derived by applying the parabolic potential approximation to the Poisson's equation in the cylindrical coordinate system. The threshold-voltage shift in the drain-current model is obtained by solving the nonlinear Poisson-Boltzmann equation for the electrolyte. The simulation results obtained from the proposed drain-current model for the Si-NW field-effect transistor (SiNWFET) agree well with those of the three-dimensional (3D) device simulation, and those from the Si-NW pH sensor model also agree with the experimental data.

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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Management of Discon tinuous Reconstruction In the Evolution Stage of Kinetic Scheme

  • Ohwada Taku;Kobayashi Seijiro
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.189-190
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    • 2003
  • A New kinetic scheme for the compressible Navier-Stokes equations is developed. While the conventional approach, such as KFVS scheme, employs the splitting algorithm and computes the numerical flux on the basis of the collisionless equation, the present approach employs the splitting algorithm in the evaluation of the numerical flux, where the collision effect is explicitly taken into account. However, the initial condition employed in the computation is slightly different from the conventional Chapman-Enskog NS distribution function. The present study also reveals the background of the existing kinetic schemes. such as the KFVS scheme and Gas-Kinetic BGK scheme.

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The Breakdown Phenomena of N2 gas by RF Electric Field (라디오 주파수전계에 의한 질소가스의 브레이크 다운 현상)

  • 황기웅;노영수
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.5
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    • pp.199-204
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    • 1986
  • The breakdown phenomena of N2 gas by 13.56MHz electric field are very different from those under steady field. In this paper we analyzed the breakdown phenomena by using electron distribution function and diffusion equation. The second-order differential equation derived from the Boltzmann equation is solved for the electron distribution function. The ionization rate and diffusion coefficient are calculated using kinetic theory formulas. The breakdown condition is that the number of electrons produced by ionization equal the number diffusing to the walls of the discharge chamber. Theses theoretical breakdown electric fields are calculated by the computer and compared with the experimental values.

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Unsteady Groundwater Flow in Aquifer (대수층의 부정류에 관한 연구)

  • 이정규
    • Water for future
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    • v.22 no.2
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    • pp.233-239
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    • 1989
  • The partial differential equation of the groundwater flow was reduced to an ordinary differential equation by the Boltzmann transformation. Its numerical solutions were obtained by the finite difference method and the new method to get the initial missing slope using the Richardson method and the finite difference equation was proposed. The solutions computed by the newly proposed method were compared with investigator's computations and they showed a satisfactory agreement and that the proposed method is easy and simple to get solutions.

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A Study on the Electron Transport Coefficients in Hydrogen Molecular ($H_2$의 전자 수송 계수에 관한 연구)

  • Park, Eun-Joo;Jeon, Byung-Hoon
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1402_1403
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    • 2009
  • The electron transport coefficients in hydrogen molecular is calculated over the range of E/N values from 0.01 to 300 Td and at temperature state of 77K, 293K and 300K by Boltzmann equation method. The results gained that the values of the electron transport coefficients such as the electron drift velocity, the electron ionization coefficients, longitudinal diffusion coefficients consisted with the results of measured and calculated for a ranage of E/N.

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Dynamic Characteristics of HDD Slider by Perturbated Direct Numerical Method

  • Khan Polina V.;Hwang Pyung
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2003.11a
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    • pp.210-214
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    • 2003
  • The static and dynamic characteristics of HDD slider with ulta-low flying height are analyzed using Direct Numerical method with Boundary Fitted Coordinate System. The slip flow effect is considered using the Boltzmann equation solution in a form of the flow rate database. The air film stiffness and damping are evaluated by the small perturbation method.

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Real-time Modeling and Rendering of Tidal in Qiantang Estuary

  • Wang, Chang-Bo
    • International Journal of CAD/CAM
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    • v.9 no.1
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    • pp.79-83
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    • 2010
  • Tidal bore is a peculiar nature phenomenon which is caused by the lunar and solar gravitation. Based on the physical characters of tidal bores, in this paper we propose a novel method to model and render this phenomenon, especially the tidal waves in Qiantang estuary. According to Boltzmann equation for tidal waves, we solve it with the novel triangle mesh of Kinectic Flux Vector Splitting (KFVS) mode. Then a method combining a curve forecasting wave and particles model is proposed to render the dynamic scenes of overturning tidal waves. Finally, with some rendering technologies, various realistic tidal waves under diversified conditions is rendered in real time.