• 제목/요약/키워드: Convective equation

검색결과 126건 처리시간 0.024초

운동자계문제의 해석을 위한 유한요소법에 관한 연구 (Travelling Magnetic Field Problem Analyses by Finite Element Method)

  • 한필완;이주
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 A
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    • pp.76-78
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    • 1999
  • This paper presents Galerkin- and Upwind-finite element analyses solution in the travelling magnetic filed problem. The travelling magnetic field problem is subject to convective- diffusion equation. Therefore, the solution derived from Galerkin-FEM with linear interpolation function may oscillate between the adjacent nodes. A simple model with Derichlet, Noumann and periodic boundary condition respectively, have been analyzed to investigate stabilities of solutions. It is concluded that the solution of Galerkin-FEM may oscillate according to boundary condition and element type, but that of Upwind-FEM is stable regardless boundary condition.

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지반-구조물 상호작용을 고려한 원통형 유체저장탱크의 지진해석 (Earthquake Analaysis of Cylindrical Liquid Storage tanks Considering Effects of Soil-Structure Interaction)

  • 김재민
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 1999년도 추계 학술발표회 논문집 Proceedings of EESK Conference-Fall
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    • pp.83-90
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    • 1999
  • This paper presents a method of seismic analysis for a cylindrical liquid storage structure on horizontally layered half-space considering the effects of the interior fluid and exterior soil medium in the frequency domain. the horizontal and rocking motions of the structures are included in this study. The fluid motion is expressed in terms of analytical velocity potential function which can be obtained by solving the boundary value problem including the sloshing behavior of the fluid as well as deformed configuration of the structure. The effect of the fluid is included in the equation of motion as the impulsive added mass and a frequency-dependent convective added mass along the nodes on the wetted boundary with structure. The soil medium is presented using the 3-D axisymmetric finite elements and dynamic infinite elements. The present method can be applied to the structures embedded in ground as well as on ground since it models the soil medium directly as well as the structure. For the purpose of vertification dynamci characteristics of a tank on homogeneous half-space is analyzed. Comparison of the present results with those by others shows good agreement.

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혼합냉매의 환상 유동 증발열전달 해석 (Analysis of Convective Boiling Heat Transfer for Refrigerant Mixtures in Annular Horizontal Flow)

  • 신지영;김민수
    • 대한기계학회논문집B
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    • 제20권2호
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    • pp.720-729
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    • 1996
  • An analysis of convective boiling heat transfer for refrigerant mixtures is performed for an annular flow to investigate the degradation of the heat transfer rate. Annular flow is selected in this study because a great portion of the evaporator in the refrigeration and air conditioning system is known to be in the annular flow regime. Mass transfer effect due to composition difference between liquid and vapor is included in this analysis, which is considered to be one of driving forces for the mass transfer at the interface. Due to the concentration gradient at the interface the mass transfer is interfered, so is the evaporative heat transfer at the interface. The mass transfer resistance makes the interface temperature slightly higher and, as a result, the heat transfer coefficients decrease compared with those without mass transfer effects. The degradatioin of the heat transfer rate reaches its maximum at a certain composition. The composition difference between vapor core and vapor at the interface has a direct effect on the temperature difference between the vapor core and the interface and the degradation of the heat transfer rate. Correction factor $C_{F}$ for the mixture effects is added to the correlation for pure substances and the flow boiling heat transfer coefficients can be calculated using the modified equation.n.

비직교 좌표변환에 의한 선회연소기내 난류재순환유동의 수치해석 (Numerical analysis of turbulent recirculating flow in swirling combustor by non-orthogonal coordinate transformation)

  • 신종근;최영돈
    • 대한기계학회논문집
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    • 제12권5호
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    • pp.1158-1174
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    • 1988
  • 본 연구에서는 계단형 벽면조건을 없게 하기 위해서 비직교 좌표계(non-orth- ogonal coordinate system)를 사용하여 수치해석하였다. 비직교 좌표계를 이용한 수 치해석의 예는 Thompson등이 Laplace방정식 혹은 Poisson방정식을 해석함으로써 비직 교 격자망을 구성한 바 있고, Fahgri와 Asako는 대수적 비직교 좌표변환으로 유한차분 방정식을 유도하여 비정규경계면을 갖는 관로에서의 유동특성을 해석하였으며 이재헌 과 이상렬은 Fahgri와 Asako의 방법을 비정규경계면을 갖는 밀폐공간내에서의 자연대 류의 수치해석에 적용한 바 있다. 본 해석에서도 Fahgri와 Asako의 변환법으로 유한 차분방정식을 유도하였는데, 이 방법을 사용할 경우 확대관의 경사벽면을 계단형으로 만들지 않고 유한차분방정식을 유도할 수 있어서 계단형 벽면으로 인한 해의 오차를 제거할 수 있다. Fig.2는 본 해석에서 사용한 비직교 격자망을 나타낸다.

Effects of Electrohydrodynamic Flow and Turbulent Diffusion on Collection Efficiency of an Electrostatic Precipitator with Cavity Walls

  • 박석주;박영옥;김상수
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집D
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    • pp.97-103
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    • 2001
  • The effects of the electrohydrodynamic (EHD) flow and turbulent diffusion on the collection efficiency of a model ESP composed of the plates with a cavity were studied through numerical computation. The electric field and ion space charge density were calculated by the Poisson equation of the electrical potential and the current continuity equation. The EHD flow field was solved by the continuity and momentum equations of the gas phase including the electrical body force induced by the movement of ions under the electric field. The RNG $k-{\varepsilon}$ model was used to analyze the turbulent flow. The particle concentration distribution was calculated from the convective diffusion equation of the particle phase. As the ion space charge increased, the particulate collection efficiency increased because the electrical potential increased over the entire domain in the ESP. The collection efficiency decreased and then increased, i.e. had a minimum value, as the EHD circulating flow became stronger when the electrical migration velocity of the charged particle was low. However, the collection efficiency decreased with the stronger EHD flow when the electrical migration of the particle was higher relatively. The collection efficiency of the model ESP increased as the turbulent diffusivity of the particle increased when the electrical migration velocity of the particle was low. However, the collection efficiency decreased for increasing the turbulent diffusivity when the electrical migration of the particle was higher relatively.

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삼각형 단면 덕트 내의 Shear-Thinning 유체에 대한 열전달 촉진에 관한 연구 (A Study on Heat Transfer Enhancement for a Shear-Thinning Fluid in Triangular Ducts)

  • 이동렬
    • 한국산학기술학회논문지
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    • 제12권9호
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    • pp.3808-3814
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    • 2011
  • 본 연구는 열교환기의 효율적인 설계를 위하여 열교환기 내의 삼각형 단면 덕트의 비뉴톤 유체의 압력강하 및 대류 열전달률 수치해석적으로 수행하였다. 비뉴톤 유체의 구성방정식은 기존의 비뉴톤 유체 멱법칙을 보완한 수정 멱법칙 모델을 채택하였다. 덕트 내의 압력강하를 의미하는 마찰계수와 수정 레이놀즈 수의 곱은 기존 연구의 문헌치와 비교할 때 뉴톤 유체 영역과 비뉴톤 멱법칙 영역에서 각각 0.13% 및 2.85% 내에서 일치함을 보였고 비뉴톤 수정멱법칙 유체 모델의 형태를 띠는 Shear-Thinning 유체를 열교환기 내의 삼각형 단면 덕트 내에서 사용하면 뉴톤 유체보다 62%의 압력강하를 감소시켰고 12%의 대류 열전달 향상을 발생시킬 수 있었다.

표면 조도를 고려한 난류 천이 모델의 항공기 결빙 해석자에 대한 적용 연구 (Implementation of Roughness-Induced Turbulent Transition Model on Inflight Icing Code)

  • 민승인;이관중
    • 한국항공우주학회지
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    • 제48권1호
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    • pp.23-33
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    • 2020
  • 본 연구에서는 표면 조도 분포가 항공기 결빙 수치 해석에 미치는 영향성에 대한 연구를 수행하였다. 기존의 항공기 결빙 해석 연구에서는 표면 조도의 크기에 초점이 맞춰져 있었으며, 표면조도의 효과 측면에서는 완전 난류 가정을 적용하여 난류 천이를 고려하지 못하고 있다. 또한 일부 연구에서, 표면 조도가 천이 과정에 미치는 영향이 선험적인 수식으로 나타났으나, 이러한 기법은 항공기 결빙 해석의 정확도를 낮추는 요인으로 여겨졌다. 따라서 본 연구에서는 표면 조도가 난류천이 및 열 경계층에 미치는 영향을 모두 고려할 수 있도록, 2-방정식 난류 모델을 기반으로 하는 난류 천이 모델을 적용하였다. 표면 조도의 효과를 고려할 수 있도록 표면 조도 증폭 파라미터를 수송 방정식 형태로 적용하였으며, 물리적인 특성을 고려하기 위해서 표면 조도 분포 모델을 적용하였다. 이를 검증하기 위하여 2차원 익형의 표면 조도, 대류 열전달 계수 및 결빙 형상을 획득하였으며, 실험 결과와 기존 기법들을 사용한 수치 해석 연구결과를 비교하였다. 그 결과, 앞전에서의 열전달 계수의 과도한 예측과 그에 따른 익형 아랫면에서의 얼음뿔 형상이 개선되는 것을 확인할 수 있었다.

지상 정적 상태에서의 항공기내 연료온도변화에 대한 수치해석 (A Numerical Analysis on Transient Fuel temperatures in a Military Aircraft under Non-operating Ground Static Condition)

  • 김영준;김창녕
    • 에너지공학
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    • 제12권1호
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    • pp.11-16
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    • 2003
  • 지상 정적 상태에 있는 항공기내 연료온도의 변화가 유한차분식에 의하여 해석되었다. 수정 Dufort-Frankel 기법의 explicit 방법에 의해 수치계산이 수행되었다. 항공기는 지상 정적상태에서 1% hot day 대기조건에 따른 태양의 복사 및 바람의 속도와 함께 반복되는 일일주기의 공기온도에 노출되어 있다고 가정되었다. 항공기는 난류유동장내에 있는 것으로 가정되었다. 항공기 표면과 외부대기사이의 열전달을 계산하기 위하여 Eckert에 의해 제안된 평판위의 난류 열전달계수가 사용되었다. 본 해석에 사용된 지배방정식은 연료에 대한 에너지방정식이다. 본 해석으로부터, 주익탱크의 연료온도가 다른 탱크들 가운데 가장 높게 나타났으며 온도변화율 또한 가장 크게 나타났다. 본 온도해석에 대한 결과는 여러 비행임무에 있어서 항공기내의 연료온도 변화 해석을 위한 초기치로서 사용될 수 있다. 또한, 본 해석방법은 항공기 열에너지 관리시스템의 해석 및 설계에 사용될 수 있다.

중거리에서 대류경계층 연직방향 plume 확산의 일반화 (Generalization of Vertical Plume Despersion in the concective Boundary Layer at Long Distances on Mesoscale)

  • 서석진
    • 한국대기환경학회지
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    • 제16권2호
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    • pp.141-150
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    • 2000
  • In order to genralize the vertical dispersion of plume at long distances on mesoscale over complex terrain dispersion coefficients data have been obtained systematically according to lapsed time after release by using a composite turbulence water tank that simulates convective boundary layer. Dispersion experiments have been carried out for various combined conditions of thermal turbulence intensity mechanical turbulence intensity and plume release height at slightly to moderately unstable conditions. Results of tracer dispersion experiments conducted using water tank camera and image processing system have been converted into atmospheric dispersion data through the application of similarity law. The equation $\sigma$z/Zi=aX/(b+c X2)0.5 where $\sigma$2; vertical dispersion coefficient zi : mixing height X : dimen-sionaless downwind distance was confirmed to be an appropriate and general equation for expressing $\sigma$2 variation with turbulence intensity and plume release height, The value of "a" was found to be principally affected by mechanical turbulence intensity and that of "b" by mechanical turbulence intensity and release height. It was confirmed that the magnitude of "c" varies with release height. Results of water tank experiments on the relationship of $\sigma$2 vs downwind distance x have been compared with actual atmospheric dispersion data such as CONDORS data and Bowne's nomogram Operating conditions of a composite turbulence water tank for simulating the field turbulence situations of CONDORS experiments and Bowne's $\sigma$2(x) nomogram for suburban area have also been investigated in terms of water temperature difference between convection water tank and bottom plate heating tank grid plate stroke mixing water depth length scale and velocity scale. Moreover the effect of mechanical turbulence intensity on vertical dispersion has been discussed in the light of release height and downwind distance. height and downwind distance.

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Design of A scale-down experimental model for SFR reactor vault cooling system performance analyses

  • Kim, Koung Moon;Hwang, Ji-Hwan;Wongwises, Somchai;Jerng, Dong-Wook;Ahn, Ho Seon
    • Nuclear Engineering and Technology
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    • 제52권8호
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    • pp.1611-1625
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    • 2020
  • We propose a scaled-down experimental model of vertical air-natural convection channels by applying the modified Ishii-Kataoka scaling method with the assistance of numerical analyses to the Reactor Vault Cooling System (RVCS) of the Proto-type Gen-IV Sodium-cooled fast reactor (PGSFR) being developed in Korea. Two major non-dimensional numbers (modified Richardson and Friction number) from the momentum equation and Stanton number from the energy balance equation were identified to design the scaled-down experimental model to assimilate thermal-hydraulic behaviors of the natural convective air-cooling channel of RVCS. The ratios of the design parameters in the PGSFR RVCS between the prototype and the scaled-down model were determined by setting Richardson and Stanton number to be unity. The friction number which cannot be determined by the Ishii-Kataoka method was estimated by numerical analyses using the MARS-KS system code. The numerical analyses showed that the friction number with the form loss coefficient of 2.0 in the scale-down model would result in an acceptable prediction of the thermal-hydraulic behavior in RVCS. We also performed experimental benchmarking using the scaled-down model with the MARS-KS simulations to verify the appropriateness of the scale-down model, which demonstrated that the temperature rises and the average air flow velocity measured in the scale-down model.