• Title/Summary/Keyword: Boltzmann constant

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Electric double layers interactions under condition of variable dielectric permittivity

  • Payam, Amir Farrokh;Fathipour, Morteza
    • Interaction and multiscale mechanics
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    • v.3 no.2
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    • pp.157-171
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    • 2010
  • In this paper, a theoretical method has been developed for the electric double layer interaction under condition of the variable dielectric permittivity of water. Using Poisson-Boltzmann equation (PBE), for one plate and two plates having similar or dissimilar constant charge or constant potential, we have investigated the electric double layer potential, its gradient and the disjoining pressure as well as the effect of variation of dielectric permittivity on these parameters. It has been assumed that plates are separated by a specific distance and contain a liquid solution in between. It is shown that reduction of the dielectric permittivity near the interfaces results in compression of electric double layers and affects the potential and its gradient which leads to a decreased electrostatic repulsion. In addition, it is shown that variation of dielectric permittivity in the case of higher electrolyte concentration, leads to a greater change in potential distribution between two plates.

Piecewise-Constant Method for Angular Approximation for the Second-Order Multidimensional Neutron Transport Equations (다차원 2계 중성자 수송방정식의 방향근사를 위한 영역상수법)

  • Noh, Tae-Wan
    • Journal of Energy Engineering
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    • v.16 no.1 s.49
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    • pp.46-52
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    • 2007
  • The piecewise constant angular approximation is developed to replace the conventional angular quadrature sets in the solution of the second-order, multi-dimensional $S_{N}$ neutron transport equations. The newly generated quadrature sets by this method substantially mitigate ray effects and can be used in the same manner as the conventional quadrature sets are used. The discrete-ordinates and the piecewise-constant approximations are applied to both the first-order Boltzmann and the second-order form of neutron transport equations in treating angular variables. The result is that the mitigation of ray effects is only achieved by the piecewise-constant method, in which new angular quadratures are generated by integrating angle variables over the specified region. In other sense, the newly generated angular quadratures turn out to decrease the contribution of mixed-derivative terms in the even-parity equation that is one of the second-order neutron transport equation. This result can be interpreted as the entire elimination or substantial mitigation of ray effect are possible in the simplified even-parity equation which has no mixed-derivative terms.

Simulation of Turbulent Flow Over Square Cylinder Using Lattice Boltzmann Method (LBM을 이용한 사각형 실린더 주위의 난류유동해석)

  • Kim Hyung-Min
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.30 no.5 s.248
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    • pp.438-445
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    • 2006
  • We performed the simulation of the unsteady three dimensional flow over a square cylinder in a wind tunnel in moderate Reynolds number range, $100{\sim}2500$ by using LBM. SGS model was applied for the turbulent flow. Frist of all we compared LBM(Lattice Boltzmann Method) solution of Poiseuille flow applied Farout and bounce back boundary conditions with the analytical and FOAM solutions to verify the applicability of the boundary conditions. For LBM simulation the calculation domain was formed by structured grids and prescribed uniform velocity and density inlet and Farout boundary conditions were imposed on the in-out boundaries. Bounceback and wind tunnel boundary conditions were applied to the cylinder walls and the boundaries of calculation domain respectively. The maximum Strouhal number of the vortex shedding is 0.2025 at Re = 750. and the number maintains the constant value of 0.18 when Re>1000. We also predicted that the critical reynolds number of the turbulent flow is in the range of $250{\sim}500$.

Unsteady Electroosmotic Channel Flows with the Nonoverlapped and Overlapped Electric Double Layers

  • Kang, Sang-Mo;Suh, Yong-Kweon
    • Journal of Mechanical Science and Technology
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    • v.20 no.12
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    • pp.2250-2264
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    • 2006
  • In micro- and nanoflows, the Boltzmann distribution is valid only when the electric double layers (EDL's) are not overlapped and the ionic distributions establish an equilibrium state. The present study has numerically investigated unsteady two-dimensional fully-developed electroosmotic flows between two parallel flat plates in the nonoverlapped and overlapped EDL cases, without any assumption of the Boltzmann distribution. For the study, two kinds of unsteady flows are considered: one is the impulsive application of a constant electric field and the other is the application of a sinusoidally oscillating electric field. For the numerical simulations, the ionic-species and electric-field equations as well as the continuity and momentum ones are solved. Numerical simulations are successful in accurately predicting unsteady electroosmotic flows and ionic distributions. Results show that the nonoverlapped and overlapped cases are totally different in their basic characteristics. This study would contribute to further understanding unsteady electroosmotic flows in micro- and nanofluidic devices.

Aeroacoustics Analysis and Noise Reduction of Dual Type Combined Fan using Lattice-Boltzmann Method (Lattice-Boltzmann Method를 이용한 이중구조팬의 공력소음 해석 및 저감)

  • Kim, Wootaek;Ryu, Minhyung;Kim, Jinwook;Ho, Sunghwan;Cho, Leesang;Cho, Jinsoo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.44 no.5
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    • pp.381-390
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    • 2016
  • In this study, aeroacoustic characteristics of combined fan are investigated and noise was reduced by applying Serrated Trailing Edge which is known as the method to reduce fan noises. Unsteady CFD (Computational Fluid Dynamics) analysis was carried out using Lattice Boltzmann Method(LBM) to figure out the combined fan's aeroacoustics and experimental results was used to verify simulation results. Results show that different BPFs are generated at the each inner fan and outer fan on the different frequency while Blade Passing Frequency(BPF) of general fans is constant on the entire frequency range. Boundary vortex and vortex shedding are suppressed or dispersed by applying the Serrated Trailing Edge to the inner fan. Furthermore, broadband noise and fan's torque are reduced.

우성형 중성자 수송방정식을 이용한 광첨두현상 감소 및 제거

  • 노태완
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05a
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    • pp.173-178
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    • 1996
  • 특정한 방향성분에 대한 방향중성자속을 정의하는 방향차분 수송 방정식(discrete ordinates or S$_{N}$ transport equation)과 달리 방향변수를 구분된 방향영역에 대하여 적분하고, 해당 방향영역 내에서의 방향중성자속이 일정하다고 가정하는 영역상수법(piecewise constant method)을 이용하여 유사방향차분방정식(discrete ordinates-like equation)을 유도하여, 이를 Boltzmann 수송식과 2계 우성수송식(even-parity transport equation)에 적용하여 기존의 방향차분법의 단점인 광첨두현상(ray effects)을 감소시키고, 우성수송식의 교차미분항을 제거한 단순우성방정식(simplified even-parity equation)을 사용하여 광첨두현상을 제거하였다. 이는 단순우성방정식의 또 다른 장점을 제시한다.

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Redefinition of the SI Base Units with Fundamental Constants (기본상수를 이용한 SI 기본단위의 재정의)

  • Lee, Ho Seong
    • Korean Journal of Optics and Photonics
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    • v.30 no.4
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    • pp.133-141
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    • 2019
  • Revision of the International System of Units (SI) in terms of fundamental constants was achieved by the 26th General Conference on Weights and Measures (CGPM) in November 2018. Four base units (kilogram, ampere, kelvin, and mole) of SI were redefined by fixing the values of the Planck constant h, elementary charge e, Boltzmann constant k, and Avogadro constant $N_A$ respectively. In this paper the scientific principle for redefining the kilogram from the Planck constant with the Kibble balance is explained as an example. The revised SI takes effect on May 20, 2019.

NUMERICAL STUDY ON THE CHARACTERISTICS OF NON-NEWTONIAN FLUID FLOW OVER OBSTACLE (장애물 주위의 비뉴턴 유체의 유동특성에 관한 수치적 연구)

  • Kim, Hyung Min
    • Journal of computational fluids engineering
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    • v.19 no.4
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    • pp.61-67
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    • 2014
  • Since the most of the existing non-Newtonian models are not adequate to apply to the lattmce Boltzmann method, it is a challenging task from both the theoretical and the numerical points of view. In this research the hydro-kinetic model was modified and applied to the 3-D moving sphere in the circular channel flow and the characteristics of the shear thinning effect by the HK-model was evaluated and the condition of ${\Gamma}$ in the model was suggested for the stable simulation to generate non-trivial prediction in three dimension strong shear flows. On the wall boundaries of circular channel the curved wall surface treatment with constant velocity condition was applied and the bounceback condition was applied on the sphere wall to simulate the relative motion of the sphere. The condition is adequate at the less blockage than 0.7 but It may need to apply a multi-scale concept of grid refinement at the narrow flow region. to obtain the stable numerical results.

Water Vapor Supply Study for Air and Carbon dioxide (공기와 이산화탄소 가스에 수분공급을 위한 연구)

  • Lee, Taeck Hong;Park, Tae Seong;Kim, Tae Wan;Noh, Jae Hyun;Kang, Young Jin;Lee, Seung Yong
    • Transactions of the Korean hydrogen and new energy society
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    • v.25 no.1
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    • pp.72-78
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    • 2014
  • The study has been designed to develop water vapor supply for semiconductor industry, industrial gas manufacturing, impurities analysis, and fuel cell. Water concentration in air reached $1019{\mu}mol/mol$ at dew temp ($-20^{\circ}C$) and water concentration in CO2 reached $127{\mu}mol/mol$ at dew temp ($-40^{\circ}C$. Carbon dioxide needs more wet gas than air because interaction potential of carbon dioxide shows more strong attraction than air.