• 제목/요약/키워드: Boltzmann constant

검색결과 19건 처리시간 0.022초

Electric double layers interactions under condition of variable dielectric permittivity

  • Payam, Amir Farrokh;Fathipour, Morteza
    • Interaction and multiscale mechanics
    • /
    • 제3권2호
    • /
    • pp.157-171
    • /
    • 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.

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

  • 노태완
    • 에너지공학
    • /
    • 제16권1호
    • /
    • pp.46-52
    • /
    • 2007
  • 특정한 방향에 대해 방향중성자속(angular neutron flux)을 정의하는 방향차분 방정식(discrete-ordinates or $S_{N}$ equation)과 달리 방향변수를 구분된 방향영역에 대하여 적분한 값을 사용하고, 해당 방향영역 내에서 방향중성자속이 일정하다고 가정하는 영역상수법(piecewise-constant method)을 개발하였다. 기존 방향차분법과 본 연구에서 개발된 영역상수법을 1계 수송방정식(1'st-order Boltzmann transport equation)과 2계 우성 방정식(even-parity equation)에 적용하여 방향차분 방정식인 $S_{N}$ 방정식과 유사 방향차분방정식($S_{N}$-like equation)인 $PC_{N}$ 방정식을 유도하였다. 우성 방정식에 영역상수법을 적용한 경우 기존 방향차분법의 단점인 광첨두 현상(ray effect)이 현저히 감소함을 확인하였는데 이는 우성 방정식의 혼합 미분항의 기여도가 작아지기 때문인 것으로 판단된다. 이러한 이론은 우성 방정식에서 혼합 미분항이 제거된 단순우성 방정식(simplified even-parity equation)을 사용하는 경우 광첨두 현상이 완전 제거 또는 극단적으로 감소되었던 이전의 결과를 이론적으로 설명한다.

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

  • 김형민
    • 대한기계학회논문집B
    • /
    • 제30권5호
    • /
    • pp.438-445
    • /
    • 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
    • /
    • 제20권12호
    • /
    • pp.2250-2264
    • /
    • 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.

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

  • 김우택;류민형;김진욱;호성환;조이상;조진수
    • 한국항공우주학회지
    • /
    • 제44권5호
    • /
    • pp.381-390
    • /
    • 2016
  • 본 연구에서는 이중구조팬의 소음특성을 알아보고 소음저감 방법으로 알려진 톱니형 뒷전(Serrated Trailing Egde)을 적용하여 이중구조팬의 소음을 저감시켰다. 해석에는 Lattice Boltzmann Method(LBM)를 이용한 비정상 전산해석을 수행하였으며 해석의 타당성을 평가하기 위하여 시험을 실시하였다. 이중구조팬은 일반적인 팬처럼 단일의 Blade Passing Frequency(BPF)를 갖는 것이 아니라 내부팬과 외부팬 각각의 BPF가 서로 다른 음역대에서 나타나는 것을 확인 하였다. 톱니형 뒷전을 내부팬에 적용하여 경계층에서의 구속와류와 뒷전에서의 와류흘림이 억제 또는 분산되고 광역소음뿐만 아니라 팬의 토크도 저감되었다.

우성형 중성자 수송방정식을 이용한 광첨두현상 감소 및 제거

  • 노태완
    • 한국원자력학회:학술대회논문집
    • /
    • 한국원자력학회 1996년도 춘계학술발표회논문집(1)
    • /
    • pp.173-178
    • /
    • 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.

  • PDF

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

  • 이호성
    • 한국광학회지
    • /
    • 제30권4호
    • /
    • pp.133-141
    • /
    • 2019
  • 기본상수를 이용한 국제단위계 개정이 2018년 11월에 개최된 제26차 국제도량형총회에서 채택되었다. 국제단위계에 속한 4개의 기본단위(킬로그램, 암페어, 켈빈, 몰)가 각각 그 값이 고정된 플랑크 상수 h, 기본 전하 e, 볼츠만 상수 k, 아보가드로 상수 $N_A$를 기반으로 재정의되었다. 이 논문에서는 키블 저울을 이용하여 플랑크 상수로부터 킬로그램을 재정의한 원리를 설명한다. 개정된 국제단위계는 2019년 5월 20일부터 발효된다.

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

  • 김형민
    • 한국전산유체공학회지
    • /
    • 제19권4호
    • /
    • pp.61-67
    • /
    • 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.

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

  • 이택홍;박태성;김태완;노재현;강영진;이승용
    • 한국수소및신에너지학회논문집
    • /
    • 제25권1호
    • /
    • pp.72-78
    • /
    • 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.