• 제목/요약/키워드: navier-stokes equations

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多重連結된 유동영역을 위한 비압축성 와도-유동함수 Navier-Stokes 방정식의 수치해법 (A numerical method for the multiply-connected flow regions governed by incompressible vorticity-stream function Navier-Stokes equations)

  • 장근식;신순철;박성근
    • 대한기계학회논문집
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    • 제12권3호
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    • pp.575-581
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    • 1988
  • 본 연구에서는 앞서의 '압력의 단가성' 개념을 재도입하여 유동함수의 경계치 설정에 수치적으로 유용하게 쓸 수 있음을 보였고, 이를 다중연결된 물체에 관한 2차 원 응용문제들에서 수렴성이 나쁘고 많은 계산시간을 요구하는 종래의 원시변수들을 이용한 수식화 과정을 벗어나, 이제는 간편하고 명확한 유동함수-와도의 방법으로 비 교적 적은 컴퓨터 시간으로 유동장의 계산이 가능하게 되었음을 보였다.

수평원관상의 $LiBr-H_2O$ 흡수특성에 대한 연구 (Parametric Study on the $LiBr-H_2O$ Absorption Process on Horizontal Tubes)

  • 민준기;최도형
    • 한국전산유체공학회지
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    • 제5권1호
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    • pp.33-42
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    • 2000
  • The LiBr-H₂O absorption process on a horizontal tube has been analyzed numerically. The flow field, which was calculated in the authors' previous study by solving the fully elliptic Navier-Stokes equations with accurate free-surface-tracking method, is used to solve the temperature and concentration distributions in the absorption film. With the assumption that the absorbent is linear, calculations have been made for various inlet temperature and flow-rate conditions. For low inlet temperature, the absorption rate is large in the upstream region but the mean temperature also increases and as a result the absorption decreases as the film flows to downstream while high-inlet-temperature case does the opposite. The difference in the absorption rate due to the inlet temperature change becomes smaller in the downstream than that in the upstream. For large flow rate, the heat transfer to the wall becomes poor due to the thick film and so does the absorption rate. The analyses have also been carried out for multiple tube arrangement and the results show that the absorption rate converges after a few tube rows.

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자유표면 영향을 고려한 환기공동 전산유동해석 (NUMERICAL ANALYSIS OF VENTILATED CAVITATION WITH FREE SURFACE EFFECTS)

  • 김미선;김호윤;하콩투;박원규
    • 한국전산유체공학회지
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    • 제18권1호
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    • pp.13-21
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    • 2013
  • Cavitating flow is usually formed on the surface of a high speed underwater object. When a object moves near a free surface at very high speed, the cavity signature becomes one of the major factors to be overcome by sensors of military satellite. The present work was to study the free surface effect on the ventilated cavitation. The governing equations were Navier-Stokes equations based on a homogeneous mixture model. The multiphase flow solver used an implicit preconditioning method in the curvilinear coordinate system. The cavitation model used here was the one first presented by Merkle et al.(2006) and redeveloped by Park & Ha(2009). Computations considered the free surface effects were carried out with a NACA0012 hydrofoil and the corresponding results were compared with the experimental data to have a good agreement. Calculations were then performed considering the ventilated cavitation, including the effect of non-condensable gas under the free surface effects.

2차원 Navier-Stokes식을 이용한 회전 진동하는 원형실린더 주위 유동해석 (ANALYSIS OF ROTARY OSCILLATION CIRCULAR CYLINDER USING UNSTEADY TWO DIMENSIONAL NAVIER-STOKES EQUATIONS)

  • 이명국;김재수
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 추계학술대회논문집
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    • pp.27-33
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    • 2009
  • In this paper, the flow past a rotary oscillating circular cylinder is simulated. The high-order and high-resolution numerical schemes with the characteristic boundary conditions are used for the compressible Navier-Stokes equation. The frequencies of rotating oscillation are $0.19\;{\leq}\;S_f\;{\leq}\;0.25$ for the maximum angular $\theta_{max}=10^{\circ}$ and $17^{\circ}$. The flow conditions are Mach number of 0.3 and Reynolds number of 1000. At Lock-on and Non-lock-on region which are defined by the relation between the vortex shedding frequency and the oscillating frequency, the drag and lift coefficient are analyzed.

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터널에 진입하는 고속전철에 의한 3차원 점성유동과 압축파 특성에 관한 수치해석적 연구 (Numerical study of Three-Dimensional Characteristics of Flow Field and Compression Wave Induced by High Speed Train Entering into a Tunnel)

  • 신창훈;박원규
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2000년도 춘계 학술대회논문집
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    • pp.91-98
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    • 2000
  • The three-dimensional unsteady compressible Full Navier-Stokes equation solver with sliding multi-block method has been applied to analyze three dimensional characteristics of the flow field and compression wave around the high speed train which Is entering into a tunnel. The numerical scheme of AF + ADI was used to efficiently solve Navier-Stokes equations in the curvilinear coordinate system. The vortex formation around the nose region was found and the generation of compression wave due to the blockage effects was observed ahead of the train in the form of plane wave. The three dimensional characteristics of the flow field compared to the analytic results were discussed in detail. The variation of pressure of tunnel wall surface and velocity profile of the train are identified as the train enters into a tunnel. The changes in aerodynamic forces and streamlines of each specific sections are also discussed and presented.

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스파이럴 채널을 가진 초소형 점성 펌프의 Navier-Stokes 해석 (NAVIER-STOKES SIMULATION OF A VISCOUS MICRO PUMP WITH A SPIRAL CHANNEL)

  • 서주형;강동진
    • 한국전산유체공학회지
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    • 제16권1호
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    • pp.90-95
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    • 2011
  • The Navier-Stokes equations are solved to study the flow characteristics of a micro viscous pump. The viscous micropump is consisted of a stationary disk with a spiral shaped channel and a rotating disk. A simple geometrical model for the tip clearance is proposed and validated by comparing computed flow rate with corresponding experimental data. Present numerical solutions show satisfactory agreement with the corresponding experimental data. The tip clearance effect is found to become significant as the rotational speed increases. As the pressure load increases, a reversed flow region is seen to form near the stationary disk. The height of the channel is shown to be optimized in terms of the flow rate for a given rotational speed and pressure load. The optimal height of the channel becomes small as the rotational speed decreases or the pressure load increases. The flow rate of the pump is found to be in proportion to the width of channel.

PENALIZED APPROACH AND ANALYSIS OF AN OPTIMAL SHAPE CONTROL PROBLEM FOR THE STATIONARY NAVIER-STOKES EQUATIONS

  • Kim, Hong-Chul
    • 대한수학회지
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    • 제38권1호
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    • pp.1-23
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    • 2001
  • This paper is concerned with an optimal shape control problem for the stationary Navier-Stokes system. A two-dimensional channel flow of an incompressible, viscous fluid is examined to determine the shape of a bump on a part of the boundary that minimizes the viscous drag. by introducing an artificial compressibility term to relax the incompressibility constraints, we take the penalty method. The existence of optima solutions for the penalized problem will be shown. Next, by employing Lagrange multipliers method and the material derivatives, we derive the shape gradient for the minimization problem of the shape functional which represents the viscous drag.

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무게중심 변화에 따른 초음속 공중발사 로켓의 모선분리 연구 (Center-of-Gravity Effect on Supersonic Separation from the Mother Plane)

  • 지영무;이재우;변영환;박준상
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2006년 제4회 한국유체공학학술대회 논문집
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    • pp.423-426
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    • 2006
  • An analysis is made of flow and rocket motion during a supersonic separation stage of air-launching rocket(ALR) from the mother plane. Three-dimensional compressible Navier-Stokes equations is numerically solved to analyze the steady/unsteady flow field around the rocket which is being separated from the mother plane configuration(F-4E Phantom). The simulation results clearly demonstrate the effect of shock-expansion wave interaction between the rocket and the mother plane. To predict the behavior of the ALR according to the change of the C.G., three cases of numerical analysis are performed. As a result, a design-guideline of supersonic air-launching rocket for the safe separation is proposed.

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Navier-Stokes 점성유동의 전속도 영역 해석을 위한 새로운 압력기반 PISO-유한요소법 (A New Pressure-Based PISO-Finite Element Method for Navier-Stokes Equations in All Speed Range)

  • 심은보;장근식
    • 한국전산유체공학회지
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    • 제1권1호
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    • pp.112-122
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    • 1996
  • A finite element scheme using the concept of PISO method has been developed to solve the Navier-Stokes viscous flows in all speed range. This scheme includes development of new pressure equation that retains both the hyperbolic term related with the density variation and the elliptic term reflecting the incompressibility constraint. The present method is applied to the incompressible two-dimensional driven cavity flow problems(Re=100, 400 and 1,000). For compressible flows, the Carter plate problem(M=3 and Re=1,000) is computed. Finally, we have simulated the shock-boundary layer interaction(M=2 and Re=2.96×10/sup 5/), a more difficult problem, and compared its results with the experiment to demonstrate the shock capturing capability of the present solution algorithm.

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고속 축대칭 비행체 설계를 위한 점성 Inverse 기법 연구 (A Study on the Viscous Inverse Method for the High Speed Axisymmetric Body Design)

  • 이영기;이재우
    • 한국전산유체공학회지
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    • 제2권2호
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    • pp.35-43
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    • 1997
  • An efficient inverse method for 1.he supersonic/hypersonic axisymmetric body design is developed for the parabolized Navier-Stokes equations. The developed method is examined numerically for three extreme testcases in the supersonic(M/sub ∞/=3.0) and hypersonic(M/sub ∞/=6.28) speeds. The first one is a negative pressure distribution near a vacuum pressure and the second one is a positive pressure distribution over the whole region of the body. The last one is the case of abrupt change of pressure distribution to zero in the forward region of the body. These testcases show the robustness of the method. By introducing a regular-falsi method and by using a not-fully converged inverse solution, the convergence behavior was greatly improved.

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