• 제목/요약/키워드: Viscosity Equation

검색결과 392건 처리시간 0.03초

천수방정식의 유한차분 특성 (Characteristics of Finite Difference Methods for the Shallow Water Equation)

  • 이길성;강주환
    • 대한토목학회논문집
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    • 제9권1호
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    • pp.41-52
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    • 1989
  • ADI 방법, Hansen 방법, Heaps 방법, Richtmyer 방법, MacCormack 방법 등 5가지 유한차분방법을 사용하여 천수방정식에 대한 수치실험을 행하였다. 해석적 해가 존재하는 선형모형에 적용하여 안정성, CPU시간, 정확성 등을 검토하였고 비선형모형에 적용하여 순환현상을 모의하였다. 그 결과 ADI방법은 CPU시간이 가장 길고 유속에 대한 정확성이 다소 떨어진다는 결점이 있는 반면 순환현상을 가장 잘 모의한다는 것과 안정성에서 큰 장점이 있었다. 양해법 중에선 Richtmyer 방법이 비교적 우수한 방법으로 평가되었다. 한편 유효점성항은 천수방정식의 수치해석시 필수적이라는 결론도 얻었다.

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난류 유동장에 대한 CFDS 기법의 수치적 연구 (Numerical study of CEDS scheme for turbulent flow)

  • 문성목;김종암;노오현;홍승규
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2002년도 학술대회지
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    • pp.23-26
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    • 2002
  • An evaluation of one algebraic and two one-equation eddy viscosity-transport turbulence closure models as implemented to the CFDS(Characteristic Flux Difference Splitting) scheme is presented for the efficient computation of the turbulent flow. Comparisons of Baldwin-Lomax model as algebraic turbulence model and Baldwin-Barth and Spalart-Allmaras model as one-equation turbulence model are presented for three test cases for 3-dimensional flow. The numerical result of the CFDS schem is examined through comparison with the experimental data.

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THERMAL INSTABILITY IN REACTIVE VISCOUS PLANE POISEUILLE / COUETTE FLOWS FOR TWO EXTREME THERMAL BOUNDARY CONDITIONS

  • Ajadi, Suraju Olusegun
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제13권2호
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    • pp.73-86
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    • 2009
  • The problem of thermal stability of an exothermic reactive viscous fluid between two parallel walls in the plane Poiseuille and Couette flow configurations is investigated for different thermal boundary conditions. Neglecting reactant consumption, the closed-form solutions obtained from the momentum equation was inserted into the energy equation due to dissipative effect of viscosity. The resulting energy equation was analyzed for criticality using the variational method technique. The problem is characterized by two parameters: the Nusselt number(N) and the dynamic parameter($\Lambda$). We observed that the thermal and dynamical boundary conditions of the wall have led to a significant departure from known results. The influence of the variable pre-exponential factor, due to the numerical exponent m, also give further insight into the behavior of the system and the results expressed graphically and in tabular forms.

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대형 틸팅패드 저어널 베어링의 비선형 지진응답 해석 (Nonlinear Analysis of Seismic Responses of Large Tilting fad Journal Bearings)

  • 김성기;김경웅
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2003년도 학술대회지
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    • pp.281-288
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    • 2003
  • In this paper, seismic responses of large tilting pad journal bearings which have $3\~5$ tilting pads were numerically analyzed. The turbulent lubrication equation, the energy equation and motion equation were solved at each time step. The regime of operation of this bearing is laminar, turbulent and transitional. Also viscosity of working fluid was considered as function of only temperature and inlet pressure build-up was considered. Numerical results for a large tilting pad journal bearing showed journal center, maximum temperature, maximum pressure, friction torque. The relationship of bearing response and seismic intensity are discussed.

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A Finite Element Galerkin High Order Filter for the Spherical Limited Area Model

  • Lee, Chung-Hui;Cheong, Hyeong-Bin;Kang, Hyun-Gyu
    • 한국지구과학회지
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    • 제38권2호
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    • pp.105-114
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    • 2017
  • Two dimensional finite element method with quadrilateral basis functions was applied to the spherical high order filter on the spherical surface limited area domain. The basis function consists of four shape functions which are defined on separate four grid boxes sharing the same gridpoint. With the basis functions, the first order derivative was expressed as an algebraic equation associated with nine point stencil. As the theory depicts, the convergence rate of the error for the spherical Laplacian operator was found to be fourth order, while it was the second order for the spherical Laplacian operator. The accuracy of the new high order filter was shown to be almost the same as those of Fourier finite element high order filter. The two-dimension finite element high order filter was incorporated in the weather research and forecasting (WRF) model as a hyper viscosity. The effect of the high order filter was compared with the built-in viscosity scheme of the WRF model. It was revealed that the high order filter performed better than the built in viscosity scheme did in providing a sharper cutoff of small scale disturbances without affecting the large scale field. Simulation of the tropical cyclone track and intensity with the high order filter showed a forecast performance comparable to the built in viscosity scheme. However, the predicted amount and spatial distribution of the rainfall for the simulation with the high order filter was closer to the observed values than the case of built in viscosity scheme.

기계적 측정에 의한 호상요구르트의 관능특성 예측 (Prediction of Sensory Properties for the Stirred-type Fruit Yogurts by Instrumental Measurements)

  • 오세종;심재헌;허재관;신정걸;김상교;백영진
    • 한국식품과학회지
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    • 제25권6호
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    • pp.620-625
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    • 1993
  • 본 연구는 요구르트의 관능 특성과 기계적 측정과의 관계를 구명하여 기계적 측정으로 관능특성을 예측하기 위한 피시계수를 추정할 목적으로 실시하였다. 딸기, 복숭아, 열대 혼합과일 요구르트에 대한 관능특성은 점성, 조직감, 맛, 종합적 품질의 4항목으로하여 각각 평가하였으며, 기계적 parameter들은 Refractive index, Viscosity, Consistency, 경도, 부착성, 응집성, 탄력성, 껌성으로 특성을 산출하였다. 관능적 점성은 복숭아 요구르트가 발기와 열대 혼합과일 요구르트보다 다소 높았으며(p<.05), Refractive index와 Consistency의 경우에도 복숭아 요구르트가 가장높은 수치를 나타내었다(p<.05). 또한 경도, 부착성, 껌성에서 요구르트간 차이가 나타났다(p<.05). 관능적 점성과 기계적 측정과의 상관관제는 모든 요구르트에서 Viscosity, Consistency, 경도, 부착성과 유의적 상관관계가 있었으며(p<.05), 관능적 점성과 명성과의 상관관계는 복숭아와 열대 혼합과일 요구르트에서 나타났다(p<.05). 조직감, 맛, 품질과 기계적 측정과의 상간관계는 열대 혼합과일 요구르트에서 맛과 부착성에서만 유의적 관계(p<.05)가 나타났을 뿐 비교적 남은 관계를 보였다. 관능특성에 대한 기계적 요소의 다중회귀모형을 구한 결과, 관능적 점성$(Y_{1})$$Consistency(X_{1}),\;Viscosity(X_{2})$, 응집성($X_{3}$)으로, 조직감은 Consistency로 각각 표현될 수 있었으며, 추정된 회귀방정식은 다음과 같다.

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취송류 재현을 위한 3차원 스펙트랄모형 개발 (A Three-dimensional Spectral Model for the Computation of Wind-induced Flows in a Homogeneous Shelf Sea)

  • 소재귀;정경태;이광수;승영호
    • 한국해안해양공학회지
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    • 제4권2호
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    • pp.91-107
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    • 1992
  • Heaps(1972)가 사용한 천해균질류에 대한 선형 기본방정식을 수심평균류속과 해수면변리를 계산하는 External mode와 수심변이 유속을 계산하는 Internal mode로 분리시킨 다음, Internal mode식에 Galerkin Method를 적용하였다. Internal mode유속을 수평좌표, 시간에 따라 변하는 계수와 대직좌표에 따라 변하는 Basis function들의 곱의 형태로 선형전개하며, 난류확산계수를 포함하는 2차미분항으로부터 해수면에 Homogeneous boundary condition과 해저면에 Sheared boundary condition이 가해지는 Sturm-Liouville system을 구성, Eigenfunctions 해를 구하여 Basis function으로 사용하였다. 모델의 성능을 검토하기 위하여 수립된 모델을 정상균일풍이 가해지는 1차원 수노에 적용하여 Cooper and Pearce(1977)가 제시한 해저면 비활동조건하의 무한 및 유한수노 연직류원분포에 대한 해석각와 비교하였으며, North Sea 규모의 등수심 장방형 Basin(Heaps' Basin)에 적용하여 정상균일풍에 대한 Heaps(1972)의 계산결과와 비교하였다.

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Surface Texturing한 평행 슬라이더 베어링의 열유체윤활 해석: 딤플 깊이의 영향 (Thermohydrodynamic Lubrication Analysis of Surface-Textured Parallel Slider Bearing: Effect of Dimple Depth)

  • 박태조;김민규
    • Tribology and Lubricants
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    • 제33권6호
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    • pp.288-295
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    • 2017
  • In order to improve the efficiency and reliability of the machine, the friction should be minimized. The most widely used method to minimize friction is to maintain the fluid lubrication state. However, we can reduce friction only up to a certain limit because of viscosity. As a result of several recent studies, surface texturing has significantly reduced the friction in highly sliding machine elements, such as mechanical seals and thrust bearings. Thus far, theoretical studies have mainly focused on isothermal/iso-viscous conditions and have not taken into account the heat generation, caused by high viscous shear, and the temperature conditions on the bearing surface. In this study, we investigate the effect of dimple depth and film-temperature boundary conditions on the thermohydrodynamic (THD) lubrication of textured parallel slider bearings. We analyzed the continuity equation, the Navier-Stokes equation, the energy equation, and the temperature-viscosity and temperature-density relations using a computational fluid dynamics (CFD) code, FLUENT. We compare the temperature and pressure distributions at various dimple depths. The increase in oil temperature caused by viscous shear was higher in the dimple than in the bearing outlet because of the action of the strong vortex generated in the dimple. The lubrication characteristics significantly change with variations in the dimple depths and film-temperature boundary conditions. We can use the current results as basic data for optimum surface texturing; however, further studies are required for various temperature boundary conditions.

결합재의 입자특성을 고려한 시멘트 기반 2성분계 페이스트의 유변특성 예측 (Prediction of Rheological Properties of Cement-Based Pastes Considering the Particle Properties of Binders)

  • 최은석;이준우;강수태
    • 한국구조물진단유지관리공학회 논문집
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    • 제27권6호
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    • pp.111-119
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    • 2023
  • 최근 다양한 시멘트 기반 재료들이 새롭게 개발되고 있으며, 이에 새롭게 개발된 재료들의 물성을 예측하려는 시도도 증가하고 있다. 본 연구에서는 시멘트계 재료로 구성된 2성분계 페이스트의 유변특성을 정량적으로 예측하고자 하였다. 사용된 시멘트계 재료는 포틀랜드 시멘트(PC), 플라이애시(FA), 고로슬래그(BS), 실리카퓸(SF)이 사용되었으며, 시멘트를 기반으로 나머지 3가지의 결합재를 혼합하였다. 페이스트의 항복응력과 소성점도는 각각 YODEL(Yield stress mODEL)과 Krieger-Dougherty's equation을 사용하여 예측하였으며, Rheometer를 사용한 실험 결과를 통해 예측 모델의 성능을 확인하였다. 개별 재료의 예측에 사용된 물성과 매개변수를 재구성하여 2성분계 페이스트의 유변특성을 예측하였을 때, 제안된 방법에 따른 예측의 경향이 실험 결과와 잘 일치하는 것으로 나타났다.

Excess Volumes, Speeds of Sound, Isentropic Compressibilities and Viscosities of Binary Mixtures of N-Ethyl Aniline with Some Aromatic Ketones at 303.15 K

  • Gowrisankar, M.;Sivarambabu, S.;Venkateswarlu, P.;Kumar, K. Siva
    • Bulletin of the Korean Chemical Society
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    • 제33권5호
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    • pp.1686-1692
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    • 2012
  • Densities (${\rho}$), Viscosities (${\eta}$) and ultrasonic speeds (u) of pure acetophenone (AP), propiophenone (PP), $p$-methyl acetophenone ($p$-MeAP), $p$-chloroacetophenone ($p$-ClAP) and those of their binary mixtures with $N$-ethyl aniline ($N$-EA) as a common component, were measured at 303.15 K over the entire composition range. These experimental data were used to calculate the excess volume $V^E$, deviation in ultrasonic speeds ${\Delta}u$, isentropic compressibility $K_s$, intermolecular free length $L_f$, acoustic impedance Z, deviations in isentropic compressibility ${\Delta}K_s$, deviation in viscosity ${\Delta}{\eta}$ and excess Gibbs free energy of activation of viscous flow ($G^{*E}$) at all mole fractions of $N$-ethyl aniline. These parameters, especially excess functions, are found to be quite sensitive towards the intermolecular interactions between component molecules. Theoretical values of viscosity of the binary mixtures were calculated using different empirical relations and theories. The relative merits of these relations and theories were discussed. The experimental results were correlated by using the polynomial proposed by Redlich-Kister equation.