• 제목/요약/키워드: Momentum-integral Method

검색결과 26건 처리시간 0.026초

평판에서 층류 막응축의 근사해 (Approximate Solutions for Laminar Film Condensation on a Flat Plate)

  • 이승홍;권장렬;이억수
    • 설비공학논문집
    • /
    • 제3권4호
    • /
    • pp.215-221
    • /
    • 1991
  • Laminar film condensation of a saturated vapor in forced flow over a flat plate is analyzed by using integral method. Laminar condensate film is so thin that the inertia and thermal convection terms in liquid flow can be neglected. Approximate solutions for water are presented and well agreed with the similarity solutions over the wide range of physical parameter, Cp1(Ts-Tw)/Pr.hfg. For the strong condensation case, it is found that magnitude of the interfacial shear stress at the liquid-vapor interphase boundary is approximately equal to the momentum transferred by condensation, i.e., ${\tau}_i{\simeq}\dot{m}(U_O-U_i)$.

  • PDF

비선형 에크만 분출 모델 (Non-Linear Ekman Pumping Model)

  • 박재현;김정환;김동균;배석태;김정렬
    • 한국마린엔지니어링학회:학술대회논문집
    • /
    • 한국마린엔지니어링학회 2006년도 전기학술대회논문집
    • /
    • pp.305-306
    • /
    • 2006
  • Developed in this study is a nonlinear Ekman pumping model to be used in simulating the rotating flows with quasi-three-dimensional Navier-Stokes equations. In this model, the Ekman pumping velocity is given from the solution of the Ekman boundary-layer equations for the region adjacent to the bottom wall of the flow domain; the boundary-layer equations are solved in the momentum-integral form. The developed model is then applied to rotating flows in a rectangular container receiving a time-periodic forcing. By comparing our results with the DNS and experimental data we have validated the developed model. We also compared our results with those given from the classical Ekman pumping model. It was found that our model can predict tile rotating flows more precisely than the classical linear model.

  • PDF

비선형 Ekman 펌핑 모델의 개발 (Development of a Nonlinear Ekman Pumping Model)

  • 서용권;박재현
    • 대한기계학회논문집B
    • /
    • 제30권6호
    • /
    • pp.568-577
    • /
    • 2006
  • Developed in this study is a nonlinear Ekman pumping model to be used in simulating the rotating flows with quasi-three-dimensional Navier-Stokes equations. In this model, the Ekman pumping velocity is given from the solution of the Ekman boundary-layer equations for the region adjacent to the bottom wall of the flow domain; the boundary-layer equations are solved in the momentum-integral form. The developed model is then applied to rotating flows in a rectangular container receiving a time-periodic forcing. By comparing our results with the DNS and experimental data we have validated the developed model. We also compared our results with those given from the classical Ekman pumping model. It was found that our model can predict the rotating flows more precisely than the classical linear model.

연안지역의 정체수역에서 방류되는 하$\cdot$폐수의 근역거동 수치모의 (Numerical Simulation for Near Field-Behavior of Wastewater Discharged into Stagnant Ambient in Coastal Region)

  • 권석재;서일원
    • 한국해안해양공학회지
    • /
    • 제17권3호
    • /
    • pp.166-177
    • /
    • 2005
  • 본 연구에서는 정체수역에서 유입이론과 일부 형상계수의 조정을 통해 근역에서의 하$\cdot$폐수 혼합거동을 해석할 수 있는 근역제트적분모형을 개발하기위해 총 6개의 상미분 보존방정식에 6개의 미지수를 가지는 문제를 수치적으로 풀기 위한 4차의 Runge-Kutta기법을 사용하였다. 또한, LIF 시스템을 이용하여 검정과정을 통해서 단일수평부력제트의 수리실험을 수행하였다. 그리고 기존의 모형 CORMIX 1, WSJET,그리고 본 모형의 계산결과를 수리실험결과와 서로 비교하였다. VISJET모형에 의해 예측된 중심선 제적이 운동량과 부력이 지배적인 구간에서는 실험결과와 근접한 반면에 본 제트적분모형에 의해 예측된 결과는 천이영역에서 측정된 궤적과 잘 일치하였다. 중심선희석률에 있어서 운동량과 부력이 지배적인 구간에서 CORMIX1 모형의 결과와 잘 일치하는 반면에 초기영역과 천이 영역에서 본 모형의 결과와 대체로 잘 일치하는 경향을 보였다.

Localized particle boundary condition enforcements for the state-based peridynamics

  • Wu, C.T.;Ren, Bo
    • Coupled systems mechanics
    • /
    • 제4권1호
    • /
    • pp.1-18
    • /
    • 2015
  • The state-based peridynamics is considered a nonlocal method in which the equations of motion utilize integral form as opposed to the partial differential equations in the classical continuum mechanics. As a result, the enforcement of boundary conditions in solid mechanics analyses cannot follow the standard way as in a classical continuum theory. In this paper, a new approach for the boundary condition enforcement in the state-based peridynamic formulation is presented. The new method is first formulated based on a convex kernel approximation to restore the Kronecker-delta property on the boundary in 1-D case. The convex kernel approximation is further localized near the boundary to meet the condition that recovers the correct boundary particle forces. The new formulation is extended to the two-dimensional problem and is shown to reserve the conservation of linear momentum and angular momentum. Three numerical benchmarks are provided to demonstrate the effectiveness and accuracy of the proposed approach.

Localized particle boundary condition enforcements for the state-based peridynamics

  • Wu, C.T.;Ren, Bo
    • Interaction and multiscale mechanics
    • /
    • 제7권1호
    • /
    • pp.525-542
    • /
    • 2014
  • The state-based peridynamics is considered a nonlocal method in which the equations of motion utilize integral form as opposed to the partial differential equations in the classical continuum mechanics. As a result, the enforcement of boundary conditions in solid mechanics analyses cannot follow the standard way as in a classical continuum theory. In this paper, a new approach for the boundary condition enforcement in the state-based peridynamic formulation is presented. The new method is first formulated based on a convex kernel approximation to restore the Kronecker-delta property on the boundary in 1-D case. The convex kernel approximation is further localized near the boundary to meet the condition that recovers the correct boundary particle forces. The new formulation is extended to the two-dimensional problem and is shown to reserve the conservation of linear momentum and angular momentum. Three numerical benchmarks are provided to demonstrate the effectiveness and accuracy of the proposed approach.

원형 덕트유동에서의 Graetz 문제에 대한 이중교환 경계요소 해석 (Dual Reciprocity Boundary Element Analysis for the Graetz Problem in Circular Duct)

  • 최창용
    • 대한기계학회논문집B
    • /
    • 제23권2호
    • /
    • pp.243-253
    • /
    • 1999
  • The dual reciprocity boundary element method (DRBEM) is used to solve the Graetz problem of laminar flow inside circular duct. In this method the domain integral tenn of boundary integral equation resulting from source term of governing equation is transformed into equivalent boundary-only integrals by using the radial basis interpolation function, and therefore complicate domain discretization procedure Is completely removed. Velocity profile is obtained by solving the momentum equation first and then, using this velocities as Input data, energy equation Is solved to get the temperature profile by advancing from duct entrance through the axial direction marching scheme. DRBEM solution is tested for the uniform temperature and heat flux boundary condition cases. Local Nusselt number, mixed mean temperature and temperature profile inside duct at each dimensionless axial location are obtained and compared with exact solutions for the accuracy test Solutions arc in good agreement at the entry region as well as fully developed region of circular duct, and their accuracy are verified from error analysis.

De-Laval 노즐의 난류 경계층 유동이 연소실 압력에 미치는 영향 (A Turbulent Bounbary Layer Effect of the De-Laval Nozzle on the Combustion Chamber Pressure)

  • 장태호;이방업;배주찬
    • 대한기계학회논문집
    • /
    • 제10권5호
    • /
    • pp.635-644
    • /
    • 1986
  • A Compuressible turbulent boundary layer effect of the high temperature, accelerating gas flow through the De-Laval nozzle on combustion chamber pressure is numerically investigated. For this purpose, the coupled momentum integral equation and energy integral equation are solved by the Bartz method, and 1/7 power law for both the turbulent boundary layer velocity distribution and temperature distribution is assumed. As far as the boundary layer thicknesses are concerned, we can obtain reasonable solutions even if relatively simple approximations to the skin friction coefficient and stanton number have been used. The effects of nozzle wall cooling and/or mass flow rate on the boundary layer thicknesses and the combustion chamber pressure are studied. Specifically, negative displacement thickness is appeared as the ratio of the nozzle wall temperature to the stagnation temperature of the free stream decreases, and, consequently, it makes the combustion chamber pressure low.

원심펌프의 축추력 제어법에 관한 연구 (A Method of Axial Thrust Control in Centrifugal Pump)

  • 최영도;쿠로카와준이치
    • 한국유체기계학회 논문집
    • /
    • 제10권4호
    • /
    • pp.15-20
    • /
    • 2007
  • In order to control and balance axial thrust of turbo machine, many types of balancing devices are used but most of them are complicated and sometimes cause troubles. In this study, a very simple device of using shallow grooves mounted on a casing wall, known as "J-Groove", is proposed and studied experimentally and theoretically. The result shows that 70% of axial thrust in an industrial 4-stage centrifugal pump can be reduced at the best efficiency point. Moreover, the analytical method of "interfered gap flow" is established and a simple formula which can determine the optimum dimension of groove and its location is proposed.