• Title/Summary/Keyword: Momentum Equation

Search Result 358, Processing Time 0.025 seconds

Estimating groundwater recharge from time series measurements of subsurface temperature

  • Koo, Min-Ho;Kim, Yongje
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
    • /
    • 2003.09a
    • /
    • pp.213-216
    • /
    • 2003
  • Efforts for better understanding of the interaction between groundwater recharge and thermal regime of the subsurface medium is gaining momentum for its diverse applications in water resources. A numerical model is developed to simulate temperature variations of the subsurface under time varying groundwater recharge. The model utilizes MacCormack scheme for finite difference approximation of the partial differential equation describing the conductive and advective heat transport. For the estimation of recharge rate, optimization of the model is realized by searching for the unknown parameters which minimize the root-mean-square error between simulated and measured temperatures. Simulation results for 22-year time series data of temperature measurements reveal that the proposed model can accurately simulate subsurface temperature variations resulting from the redistribution of the heat due to the movement of water and it can also estimate temporal variations of recharge. Seasonal variations of recharge and a linear relationship between precipitation and recharge are clearly reflected in the simulated results.

  • PDF

Numerical Analysis of Heat Flow in Fire Compartment using SIMPLE Algorithm (SIMPLE Algorithm을 이용한 화재실의 열 유체의 수치해석)

  • 김광선;손봉세
    • Fire Science and Engineering
    • /
    • v.6 no.1
    • /
    • pp.17-22
    • /
    • 1992
  • We have derived the general transfer equation for governing the continuity, energy transfer, mass and momentum transfer, and turbulent energy dissipation rate within the fire compartment which has the 800t fire source at the center of the floor. The governing transfer equations have been descretized using the finite volume approach and numerically experimented under the SIMPLE algorithm. In order for the SIMPLE algorithm approach to be physically reliable, the test results are compared with those of Morita's SOR Method using Conjugate Residual Method and found to be close to physical values though the computational convergence time still remains to be upgraded. The treatment of source terms in the system of finite difference equations has been critical in order to converge the governing equations within the appropriate time steps. The criteria of convergence allowance for the whole domain have been checked and the sudden change of the non-linear effects from the source term have been avoided. The criteria has been allowed to be for 5$\times$10$^{-5}$ .

  • PDF

Numerical Analysis of Cavity Characteristics and Thrust for Supercavitating Underwater Vehicle (초공동 수중운동체 주위 공동 특성과 추력 전산 해석)

  • Kim, Dong-Hyun;Park, Warn-Gyu
    • Journal of Ocean Engineering and Technology
    • /
    • v.31 no.1
    • /
    • pp.8-13
    • /
    • 2017
  • Cavitation is used in various fields. This study examined the drag reduction of an underwater vehicle using cavitation. In this study, the natural partial cavitation analysis results were verified using CFD code with the Navier-Stokes equation based on a mixture model. The momentum and continuity equations in the mixture phase were separately solved in the liquid and vapor phases. The solver employs an implicit preconditioning algorithm in curvilinear coordinates. The results of a computational analysis showed good agreement with the experiment. A computational analysis was also performed on the supercavity. The study investigated the cavity characteristics and drag of an underwater vehicle and studied the speed required to achieve a supercavity. Finally, a 1DOF analysis was carried out to investigate the thrust system for a supercavity. As a result, one of the methods for determining a suitable thrust system for a supercavitating underwater vehicle was presented.

A Numerical Optimization Study on the Ventilation Flows in a Workshop (작업장 환기장치 최적화 유동 연구)

  • 엄태인;장동순
    • Journal of the Korean Society of Safety
    • /
    • v.10 no.1
    • /
    • pp.64-73
    • /
    • 1995
  • A preliminary study is performed in order to design an effective ventilation equipment for the control of possible pollutants in a workshop. To this end, the Patankar's SIMPLE methodology is used to investigate the flow characteristics of the contaminated thermal deflected jet which is encounted often in practical hood system. SIMPLE-Consistent algorithm is employed for the pressure-velocity coupling appeared in momentum equations. A two equation, k-$\varepsilon$ model is used for Reynolds stresses. The prediction data is compared well against the experimental results by Chang(1989). Considering the control of the wake due to its high turbulence together with the stagnant feature has been investigated in term of major parameters such as temperature and magnitude of the discharge velocity. Detailed discussions are made to reduce the size of the wake region which give rise to pollutant concentration stratification.

  • PDF

Development of an integrative cardiovascular system model including cell-system and arterial network (세포-시스템 차원의 혈류역학적 심혈관 시스템 모델의 개발)

  • Shim, Eun-Bo;Jun, Hyung-Min
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2008.03b
    • /
    • pp.542-546
    • /
    • 2008
  • In this study, we developed a whole cardiovascular system model combined with a Laplace heart based on the numerical cardiac cell model and a detailed arterial network structure. The present model incorporates the Laplace heart model and pulmonary model using the lumped parameter model with the distributed arterial system model. The Laplace heart plays a role of the pump consisted of the atrium and ventricle. We applied a cellular contraction model modulated by calcium concentration and action potential in the single cell. The numerical arterial model is based upon a numerical solution of the one-dimensional momentum equations and continuity equation of flow and vessel wall motion in a geometrically accurate branching network of the arterial system including energy losses at bifurcations. For validation of the present method, the computed pressure waves are compared with the existing experimental observations. Using the cell-system-arterial network combined model, the pathophysiological events from cells to arterial network are delineated.

  • PDF

Buoyant Slot Jets in Flowing Environment (가로흐름에 방류(放流)되는 평면부력(平面浮力)?)

  • Yoon, Tae Hoon;Han, Woon Woo
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.8 no.3
    • /
    • pp.53-60
    • /
    • 1988
  • The behavior of plane buoyant jet issuing vertically upwards into cross flow is analysed by experiments and integral scheme. The integral scheme is based on the self similarity and characteristic length scales to governing equations of continuity, momentum and constituent transport equation, in the horizontal and vertical flow region, respectively. Jet trajectories and the temperature distributions of jet centerlines obtained from experiments are analysed for various velocity ratios and densimetric Froude numbers. It was found that the analytical results about the trajectories and temperatures of jet center lines agree with the experiments and can be expressed as power laws.

  • PDF

An Analysis of Heat and Fluid Flow in the Laser Surface Melting with a Deformed Surface. (굴곡의 표면을 가진 금속의 레이저 용융에 대한 열 및 유체유동 해석)

  • Kim, Young-Deuk;Sim, Bok-Cheol;Kim, Woo-Seung
    • Proceedings of the KSME Conference
    • /
    • 2003.11a
    • /
    • pp.139-144
    • /
    • 2003
  • Laser melting problems with deformed substrates are investigated by axisymmetric numerical simulations. Source-based method is used to solve the energy equation, and the momentum equations are solved in the liquid domain with SIMPLER algorithm. Using a laser beam with a top-hat heat flux distribution, this study is performed to examine the effect of surface deformation, beam power density and surface tension force on the melt pool during laser melting. Surface temperature decreases with increasing surface deformation, while surface velocity increases. It is found that surface deformation, beam power density and surface tension force have a very significant effect on heat transfer and fluid flow during laser melting.

  • PDF

Analysis of Hot Gas Flew Considering Arc-Flow Interaction (아크플라즈마와 유동간의 상호작용을 고려한 열가스 유동 해석)

  • Kim, Hong-Gyu;Park, Gyeong-Yeop;Bae, Chae-Yun;Jo, Gyeong-Yeon;Jeong, Hyeon-Gyo
    • The Transactions of the Korean Institute of Electrical Engineers B
    • /
    • v.51 no.3
    • /
    • pp.107-115
    • /
    • 2002
  • This parer presents the analysis of hot gas flow in puffer-type circuit breakers using FVFLIC method. For the analysis of arc-flow interaction, the flow field is analyzed from the equations of conservation for mass, momentum and energy with the assumption of local thermodynamic equilibrium state. The arc is represented as the energy source term composed of ohmic heating and radiation term in the energy conservation equation. Ohmic heating is computed by the electric field analysis only within the conducting plasma region. An approximate radiation transport model is employed for the evaluation of emission and absorption of the radiation. The analysis method was applied to the real circuit breaker model and simulation results such as pressure rise and arc voltage were compared with the experimental ones.

On the Modeling of Dynamic Systems

  • Suk, Jinyoung;Kim, Youdan
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.2 no.1
    • /
    • pp.78-92
    • /
    • 2001
  • In this paper, several dynamic systems are modeled using the time domain finite element method. Galerkins' Weak Principle is used to model the general second-order mechanical system, and is applied to a simple pendulum dynamics. Problems caused by approximating the final momentum are also investigated. Extending the research, some dynamic analysis methods are suggested for the hybrid coordinate systems that have both slew and flexible modes. The proposed methods are based on both Extended Hamilton's Principle and Galerkin's Weak Principle. The matrix wave equation is propagated in space domain, satisfying the geometric/natural boundary conditions. As a result, the flexible motion can be obtained compatible with the applied control input. Numerical example is shown to demonstrate the effectiveness of the proposed modeling methods for the hybrid coordinate systems.

  • PDF

Numerical Study on The Performance of Annular Jet Pump (환형제트펌프의 수치적 성능해석)

  • Kwon, O.B.;Kwon, H.C.
    • Journal of Power System Engineering
    • /
    • v.5 no.1
    • /
    • pp.50-56
    • /
    • 2001
  • Jet pumps are used in a great number of engineering applications. In the present study, jet shapes, mixing chamber shapes, and numerical methods for predicting the performance of an annular-type jet pump are investigated to determine the optimal turbulence model. The flow fields are simulated by solving the momentum and the continuity equations with the standard ${\kappa}-{\epsilon}$ and the RNG ${\kappa}-{\epsilon}$ turbulence models at different Reynolds numbers. After that, they are compared with the corresponding experimental data to determine the optimal model. Next, various calculations are conducted to find an optimal shape using the selected turbulence model. The study shows us that the RNG ${\kappa}-{\epsilon}$ model predicts the performance more exactly, and also shows that the most effective performance can be achieved with $12^{\circ}$ reducing angle and 130mm throat length.

  • PDF