• Title/Summary/Keyword: Full Navier-Stokes

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Heat Transfer Response of an Isothermal Cylinder to Fluctuating Cross Flow (맥동류에 놓인 등온 원통의 열전달 응답)

  • 권영필;이병호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.706-712
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    • 1986
  • The unsteay heat transfer from an isothermal circular cylinder in fluctuating cross flow is simulated numerically, for the case where the amplitude of the oscillating velocity is small compared with the mean velocity. By solving the linear perturbation equations derived from the unsteady full Navier-Stokes and the energy equations, the amplitude and the phase of heat transfer response are obtained in the range of Reynolds number R$_{3}$ < 40. The effects of the velocity, the cylinder radius and the frequency on the response are expressed graphically in terms of the normalized velocity and the cylinder radius.

A COMPUTATIONAL MODEL FOR OSMOSIS PHENOMENA OF CELLS THROUGH SEMI-PERMEABLE MEMBRANES

  • Kim, Im-Bunm;Ha, Tae-Young;Sheen, Dong-Woo
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.13 no.2
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    • pp.123-140
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    • 2009
  • The effect of a solute concentration difference on the osmotic transport of water through the semi-permeable membrane of a simple cell model is investigated. So far, most studies on osmotic phenomena are described by simple diffusion-type equations ignoring all fluid motion or described by Stokes flow. In our work, as the governing equations, we consider the coupled full Navier-Stokes equations which describe the fluid motion and the full transport equation that takes into account of convection and diffusion effects. A two dimensional finite difference model has been developed to simulate the velocity field, concentration field, and semi-permeable membrane movement. It is shown that the cell swells to regions of lower solute concentration due to the uneven water flux through the semi-permeable membrane. The simulation is applied on a red blood cell geometry and the relevant results are presented.

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Numerical study of a turbulent plane jet under the pressure gradient in the transverse direction (진행축에 수직방향 압력구배를 받는 난류 평면제트의 수치적 연구)

  • 최문창;최도형
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.5
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    • pp.1150-1157
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    • 1988
  • Two-dimensional turbulent plane jet which is under the pressure gradient in the transverse direction is studied numerically. Full Navier-Stokes equations are used to correctly account for the pressure variation in the transverse direction. Using the standard k-.epsilon. turbulence model as a closure relationship, a time marching procedure gives the velocity field. The temperature fields are obtained for two different cases : (1) Hot jet is issued into the cold still air, and (2) Hot jet is issued into the surrounding across which exists a temperature difference. The velocity and temperature fields along with other flow and heat-transfer characteristics for two different pressure gradients are presented. A simple formula that relates the jet trajectory to the pressure gradient is also proposed. The mass flux in the longitudinal direction and the jet halfwidth seem insensitive to the pressure gradient. However, the pressure gradient increases the heat flux in the longitudinal direction as well as in the transverse direction.

Internal Wave Generation with Level Set Parallel Finite Element Approach (레블셋 병렬유한요소 기법을 이용한 파랑 내부 조파)

  • Lee, Haegyun;Lee, Nam-Joo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.6B
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    • pp.379-385
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    • 2012
  • Recent development of computing power and theoretical advances in computational fluid dynamics have made possible numerical simulations of water waves with full Navier-Stokes equations. In this study, an internal wave maker using the mass source function approach was combined with the level set finite element method for generation of waves. The model is first applied to the two-dimensional linear wave generation and propagation. Then, it is applied to the three-dimensional simulation of the same problem. To effectively utilize computational resources and enhance the speed of execution, parallel algorithms are developed and applied for the three-dimensional problem. The results of numerical simulations are compared with theoretical values and good agreements are observed.

Real-Time Water Wave Simulation with Surface Advection based on Mass Conservancy

  • Kim, Dong-Young;Yoo, Kwan-Hee
    • International Journal of Contents
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    • v.4 no.2
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    • pp.7-12
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    • 2008
  • In this paper, we present a real-time physical simulation model of water surfaces with a novel method to represent the water mass flow in full three dimensions. In a physical simulation model, the state of the water surfaces is represented by a set of physical values, including height, velocity, and the gradient. The evolution of the velocity field in previous works is handled by a velocity solver based on the Navier-Stokes equations, which occurs as a result of the unevenness of the velocity propagation. In this paper, we integrate the principle of the mass conservation in a fluid of equilateral density to upgrade the height field from the unevenness, which in mathematical terms can be represented by the divergence operator. Thus the model generates waves induced by horizontal velocity, offering a simulation that puts forces added in all direction into account when calculating the values for height and velocity for the next frame. Other effects such as reflection off the boundaries, and interactions with floating objects are involved in our method. The implementation of our method demonstrates to run with fast speed scalable to real-time rates even for large simulation domains. Therefore, our model is appropriate for a real-time and large scale water surface simulation into which the animator wishes to visualize the global fluid flow as a main emphasis.

A Study on the Effect of Turbine Nozzle with Fillet on Performance Characteristics of a Gas Turbine Engine (터빈 노즐의 Fillet 설치에 따른 가스터빈 엔진의 성능 특성에 관한 연구)

  • Kim, Jae-Min;Jin, Sang-Wook;Kim, Kui-Soon;Choi, Jeong-Yeol;Kim, Chun-Taek
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2009.11a
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    • pp.542-545
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    • 2009
  • In this study, the effect of turbine geometry on the overall performance of a gas turbine was investigated by computational fluid dynamics. Overall engine performance was predicted through a full engine simulation program which can predict the interactions of the compressor, the combustor and the turbine. The compressor and the turbine analysis code solves 2D and 3D Navier-Stokes equations respectively. The chemical equilibrium code was applied to simulate the combustor. The computations were performed for two different shapes of turbine nozzle. The nozzle shapes adopted a baseline blade and a blade with fillet.

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Comparison of Turbulence Models through Three Dimensional Numerical Soultion for the Tip Region of an Axial Compressor Cascade (축류 압축기 날개열의 팁 영역에 관한 3차원 수치해석을 통한 난류모형 비교)

  • Choi I. K.;Maeng J. S.
    • Journal of computational fluids engineering
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    • v.2 no.2
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    • pp.18-25
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    • 1997
  • A pressure-based Navier-Stokes numerical solver was used to compare solutions of the k-ε/RNG k-ε turbulence models. An efficient grid generation scheme, the transient grid generation with full boundary control, was used to solve the flows in the tip clearance region. Results indicate that the calculations using k-ε model captures various phenomena related to the tip clearance with good accuracy.

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Evaluation of the Influence of a Convective Term Caused by Various Finite Difference Schemes in General Curvature Coordinate (일반곡선 좌표계 사용시 대류항의 차분스킴에 의한 영향 평가)

  • 이연원
    • Journal of Advanced Marine Engineering and Technology
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    • v.18 no.3
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    • pp.94-101
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    • 1994
  • To develope the new simulator for the analysis of fluid flow information, the influence of various convective difference schemes were evaluated. General curvilinear coordinate system with nonorthogonal grids was adopted for the successful analysis of various complex geometries. Computation results show that if we can not obtain full grid numbers within available computational environment, we need to use higher order finite difference schemes to keep the prediction accuracy.

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Reynolds Number Dependence of Bearing Performance

  • Kim E.
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.149-154
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    • 1997
  • Based on the full Navier-Stokes solutions, the thermohydrodynamic performance of a long journal bearing is investigated. A numerical method based on Galerkin's procedure and B-spline test functions has been presented for solving two-dimensional problems involving fluid flow and heat transfer. For numerical stability the artificial compressibility is employed to the conservation of mass. The discretized algebraic equations are solved by Newton's method. Effects of varying the speed of an inner cylinder to load carrying capacity are investigated. The results indicated that the increase of the speed of an inner cylinder has a significant effect on the temperature profile and ultimately on the performance.

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Numerical Study on Turbulent Flow and Heat Transfer in the Rocket Nozzle (로켓 노즐 내의 난류유동 및 열 전달에 관한 수치 해석적 연구)

  • 배주찬;이태호;강신형
    • Journal of the Korean Society of Propulsion Engineers
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    • v.1 no.1
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    • pp.73-81
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    • 1997
  • Numerical analysis on turbulent flow and heat transfer in the rocket nozzle has been studied using the mass-weighted-averaged full Navier-Stokes equations, the Morkovin hypothesis on turbulent flow, the $\textsc{k}$-$\varepsilon$ turbulence model with the wall function specially designed to be able to consider the effects of pressure gradients, heat transfer and compressibility, and the numerical scheme of Karki. The present results are in good agreement with the experiments of Back et al.

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