• 제목/요약/키워드: Convective equation

검색결과 126건 처리시간 0.027초

국지 부유퇴적물 농도의 결정을 위한 연직1차원 이류확산 방정식의 해석해 (An Analytical Solution of the Vertically One-dimensional Convection-Diffusion Equation for the Determination of Local Suspended Sediment Concentration)

  • Jung, Kyung-Tae;Jin, Jae-Youll;Kang, Hyoun-Woo;Cho, Hong-Yeon;Kim, Mee-Kyung;John Noye
    • 한국해안해양공학회:학술대회논문집
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    • 한국해안해양공학회 2003년도 한국해안해양공학발표논문집
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    • pp.208-215
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    • 2003
  • Convective-diffusion equations appear in various disciplines such as hydrology, chemical engineering and oceanography dealing with the transport problem of scalar quantities. Since it is nonlinear, numerical methods are generally used to obtain its solution. Very limited number of analytical solutions are available usually in cases when the convective velocity is constant or has a simple functional form (for some collection of the solutions, see Noye, 1987). There is however a continuing need to develop analytical solutions because of its practical importance. Analytical solutions of the convection-diffusion equation are valuable not only for the better understanding on the transport process but the verification of numerical schemes. (omitted)

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Fractional-Step법을 이용한 비압축성 비정상 Navier-Stokes 방정식의 유한 요소해석 (Finite Element Analysis of Incompressible Transient Navier-Stokes Equation using Fractional-Step Methods)

  • 김형민;이신표
    • 대한기계학회논문집B
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    • 제27권4호
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    • pp.458-465
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    • 2003
  • The main objective of the research is to develop a research code solving transient incompressible Navier-Stokes equation. In this research code, Adams-Bashforth method was applied to the convective terms of the navier stokes equation and the splitted equations were discretized spatially by finite element methods to solve the complex geometry problems easily. To reduce the divergence on the boundaries of pressure poisson equation due to the unsuitable pressure boundary conditions, multi step approximation pressure boundary conditions derived from the boundary linear momentum equations were used. Simulations of Lid Driven Flow and Flow over Cylinder were conducted to prove the accuracy by means of the comparison with results of the previous workers.

평균 유동을 고려한 1차원 그린 함수를 이용한 덕트 내부의 음장 예측 방법 (Prediction of Sound Field Inside Duct with Moving Medium by using one Dimensional Green's function)

  • 전종훈;김양한
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계학술대회논문집
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    • pp.915-918
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    • 2005
  • Acoustic holography uses Kirchhoff·Helmholtz integral equation and Green's function which satisfies Dirichlet boundary condition Applications of acoustic holography have been taken to the sound field neglecting the effect of flow. The uniform flow, however, changes sound field and the governing equation, Green's function and so on. Thus the conventional method of acoustic holography should be changed. In this research, one possibility to apply acoustic holography to the sound field with uniform flow is introduced through checking for the plane wave in a duct. Change of Green's function due to uniform flow and one method to derive modified form of Kirchhoff·Heimholtz integral is suggested for 1-dimensional sound field. Derivation results show that using Green's function satisfying Dirichlet boundary condition, we can predict sound pressure in a duct using boundary value.

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SWNT 투명박막히터의 열성능 평가를 위한 자유대류 열전달 해석 (A COMPUTATIONAL STUDY ON FREE CONVECTION FOR THERMAL PERFORMANCE EVALUATION OF A SWNT THIN-FILM HEATER)

  • 곽호상;이성은;박경석;김경진
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 춘계학술대회논문집
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    • pp.315-320
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    • 2009
  • A computational investigation is conducted on free convection from a thin plate having a surface heat source. The thermal configuration simulates the recently-proposed transparent film heater made of a single-walled carbon nanotube film on a glass substrate. The Navier-Stokes computations are carried out to study laminar free convection from the heater. Parallel numerical experiments are performed by using a simplified design analysis model which solve the conduction equation with the boundary conditions utilizing several existing correlations for convective heat transfer coefficient. Comparison leads to the most suitable boundary condition for the thermal model to evaluate the performance evaluation of a transparent thin-film heater.

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원관 주위로 공기의 국소 대류 열전달에 대한 연구 (Investigation of Local Convective Heat Transfer around a Circular Tube in Cross Flow of Air)

  • 이억수
    • 설비공학논문집
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    • 제16권6호
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    • pp.546-555
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    • 2004
  • With circular tube heated directly or indirectly placed in a cross flow, heat flows circumferentially by conduction due to the asymmetric nature of the fluid flow around the perimeter of the circular tube. The circumferential heat flow affects the wall temperature distribution to such an extent that in some cases. The effects of circumferential wall heat conduction on local convective heat transfer is investigated. The wall heat conduction parameter which can be deduced from the governing energy equation should be used to express the effect of circumferential heat conduction. Two-dimensional temperature distribution is presented through the numerical analysis. The comparison of one-dimensional and two-dimensional solutions is demonstrated on graph of local Nusselt numbers.

수학적 해석 방법에 의한 액체저장탱크의 액동압 거동 해석 (Hydrodynamic Behavior Analysis of Vertical-Cylindrical Liquid-Storge Tanks by Mathematically Analytic Method)

  • 박종률;오택열
    • 대한기계학회논문집A
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    • 제26권3호
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    • pp.487-496
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    • 2002
  • Hydrodynamic behavior and response of vertical-cylindrical liquid-storage tank is considered. The equation of the liquid motion is shown by Laplace's differential equation with the fluid velocity potential. The solution of the Laplace's differential equation of the liquid motion is expressed with the modified Bessel functions. Only rigid tank is studied. The equivalent masses and heights for the tank contents are presented for engineering design model.

FDM을 이용한 층유유동장내에서 오염물질확산에 관한 연구 (Numerical Prediction of Contaminant Dispersion within the Laminar Flow Field using FDM)

  • 김양술
    • 한국안전학회지
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    • 제10권2호
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    • pp.56-63
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    • 1995
  • A simulation of contaminant dispersion in a water reservoir has been done using 2-D finite difference method(FDM). The steady state velocity field of the reservoir was computed using stream function-vorticity formulation of Wavier-Stokes equation and continuity equation. Based on the computed steady state velocity field, the transient convective diffusion equation of the contaminant dispersion was computed. For the 1m$\times$1m reservoir model with inlet and outlet attached, it was shown that the center of circulation located toward right. For the numerical values of v =0.01($\textrm{cm}^2$/s) and D=0.6($\textrm{cm}^2$/s) and the flow of 50($\textrm{cm}^3$/s ), it was determined that the outflow had to be shut down in 18 seconds to prevent from severe pollution. Also the required time was computed to be 6 seconds for the inflow of 100 ($\textrm{cm}^3$/s). The result of this study is considered, hopefully, to be useful for the design of the water reservoir systems that are the subjects to various contamination.

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유한요소법을 이용한 유체속도가 고려된 덕트의 음향특성 해석 (Acoustic Analysis of a Duct with Mean Flow by Use of FEM)

  • 서영수;정의봉;윤상돈
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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    • pp.1026-1031
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    • 2002
  • This paper shows the effect of mean flow in duct. The potential equation of duct with mean flow is obtained. A finite element method(FEM) is used to predict acoustic performance of duct with mean flow. The formulation of the finite element method is derived for duct taking into consideration of the convective effect of mean flow. A simple duct, simple expansion chamber and a duct with resonator are implemented to show the effects of the mean flow.

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Modeling of flux enhancement in presence of concentration polarization by pressure pulsation during laminar cross flow ultrafiltration

  • Kumar, Kamal;De, Sirshendu
    • Membrane and Water Treatment
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    • 제1권4호
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    • pp.253-271
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    • 2010
  • A theoretical study for the flux enhancement by pulsation of transmembrane pressure is presented for osmotic pressure controlled ultrafiltration under laminar flow regime. The transient velocity profile is solved analytically using Green's function method. Time dependent convective diffusive equation is solved to quantify the membrane surface concentration and the permeate flux, numerically. The effects of the amplitude and frequency of pulsation on flux, surface concentration and observed retention are studied.

개수로흐름 해석에서 운동량방정식의 특성 (Characteristics of the Momentum Equation in Open Channel Flow)

  • 전민우;전종기
    • 한국방재학회 논문집
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    • 제8권3호
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    • pp.137-147
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    • 2008
  • 본 연구는 운동량방정식을 이루는 각 항의 상대적 크기를 해석적 방법으로 비교분석하였다. 운동량방정식의 매개변수인 하상 경사와 조도계수를 유출영향인자로 하여 각항의 시간적 변화를 분석하였다. 국지가속도와 대류가속도항의 크기는 서로 상쇄되는 경향을 보이며, 중력항을 제외한 나머지항들의 첨두치 발생시각은 수문곡선 상승부의 변곡점 발생시각과 일치함을 알 수 있다. 각 항의 상대적 크기는 하도특성에 따라 변하며, 특히 완경사 하천과 조도계수가 큰 경우는 압력항을 무시할 수 없음을 알 수 있다.