• 제목/요약/키워드: vortex transport equation

검색결과 23건 처리시간 0.021초

입자와법에 의한 급 출발하는 타원형 실린더 주위 유동해석 (Numerical study of Flow around Impulsively Started Elliptic Cylinder using Vortex Particle Method)

  • 주남수;이상환
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.1601-1606
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    • 2004
  • In this paper, the unsteady behavior of the viscous flow field past an impulsively started elliptic cylinder is studied numerically. In order to analyze flow field, we introduce vortex particle method. The vorticity transport equation is solved by fractional step algorithm which splits into convection term and diffusion term. The convection term is calculated with Biot-Savart law, the no-through boundary condition is employed on solid boundaries. The diffusion term is modified based on the scheme of particle strength exchange. The particle redistributed scheme for general geometry is adapted. The flows around an elliptic cylinder are investigated for various attack angles at Reynolds number 200. The comparison between numerical results of present study and experimental data shows good agreements.

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입자와법에 의한 급 출발하는 타원형 실린더 주위 유동해석 (Numerical Study of Flow Around Impulsively Started Elliptic Cylinder Using Vortex Particle Method)

  • 이상환;주남수
    • 대한기계학회논문집B
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    • 제28권7호
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    • pp.809-817
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    • 2004
  • In this paper, the unsteady behavior of the viscous flow field past an impulsively started elliptic cylinder is studied numerically. In order to analyze flow field, we introduce vortex particle method. The vorticity transport equation is solved by fractional step algorithm which splits into convection term and diffusion term. The convection term is calculated with Biot-Savart law, the no-through boundary condition is employed on solid boundaries. The diffusion term is modified based on the scheme of particle strength exchange. The particle redistributed scheme for general geometry is adapted. The flows around an elliptic cylinder are investigated for various attack angles at Reynolds number 200. The comparison between numerical results of present study and experimental data shows good agreements.

CH4공기 제트 확산화염에서 CO2 첨가에 따른 단일 와동의 동적거동에 관한 연구 (An Investigation on Dynamic Behaviors of Single Vortex with CO2 Dilution in a CH4-Air Jet Diffusion Flame)

  • 황철홍;오창보;이대엽;이창언
    • 대한기계학회논문집B
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    • 제27권9호
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    • pp.1209-1219
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    • 2003
  • The dynamic behaviors of the single vortex interacting with $CH_4-Air$ jet diffusion flame are investigated numerically. The numerical method is based on a predict-corrector scheme for a low Mach number flow. A two-step global reaction mechanism is adopted as a combustion model. Studies are conducted in fixed initial velocities for the three cases according as where $CO_2$ is added; (1) without dilution, (2) dilution in fuel stream and (3) dilution in oxidizer stream. A single vortex is generated by an axisymmetric jet, which is made by an impulse of a cold fuel when a flame is developed entirely in a computational domain. The simulation shows that $CO_2$ dilution in fuel stream results in somewhat larger vortex radius, and greater amount of entrainment of surrounding fluid than in other cases. Thus, the dilution of $CO_2$ in fuel stream enhances the mixing in single vortex and increases the stretching of the flame surface. The budgets of the vorticity transport equation are examined to reveal the mechanism of vortex formation when $CO_2$ is added. It is found that, in the case of $CO_2$ dilution in fuel stream, the vortex destruction due to volumetric expansion and the vortex production due to baroclinic torque are more dominant than in other cases.

경사충격파와 와류간의 상호작용에 관한 수치적 연구 (A numerical investigation on the oblique shock wave/vortex interaction)

  • 문성목;김종암;노오현;홍승규
    • 한국항공우주학회지
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    • 제32권8호
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    • pp.20-28
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    • 2004
  • 경사충격파와 와류간의 상호작용에 관한 수치적 해석은 경사충격파에 기인한 와류붕괴 의 발생에 관한 이론적 모델 및 실험치와 비교하기 위해 수행되었다. 본 연구의 해석을 위해 마하수에 기초한 Roe의 기법 (RoeM) 과 2-방정식 난류 모델을 이용하여 3차원 난류 유동장을 효과적으로 계산하였다. 자유류 마하수 2.49에서 와유세기, 축방향속도 성분, 충격파 세기의 변화에 따른 상호작용의 영향을 연구하였다. 2-방정식 난류모델인 k-wSST 난류모델과 적절히 모델링된 와류모델을 이용하여 수치연구를 수행함으로써 실험적으로 관찰된 여러 유동장을 정확히 모사할 수 있었다. 경사충격파에 기인한 와류붕괴의 발생에 관한 기준을 결정하기 위한 본 연구결과는 이론적 모델과 실험치와 일치된 결과를 보여주고 있음을 확인하였다.

Modeling of Fine Sediment Transport under Multiple Breakwaters of Surface-Piercing Type

  • Lee, J. L.;Oh, M. R.
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2004년도 학술발표회
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    • pp.557-562
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    • 2004
  • A surface-piercing barrier model is presented for understanding morphological development in the sheltered region and investigating the main factors causing the severe accumulation. Surface-piercing structures like vertical barriers, surface docks and floating breakwaters are recently favored from the point of view of a marine scenario since they do not in general partition the natural sea. The numerical solutions are compared with experimental data on wave profiles and morphological change rates within a rectangular harbor of a constant depth protected by surface-piercing thin breakwaters as a simplified problem. Our numerical study involves several modules: 1) wave dynamics analyzed by a plane-wave approximation, 2) suspended sediment transport combined with sediment erosion-deposition model, and 3) concurrent morphological changes. Scattering waves are solved by using a plane wave method without inclusion of evanescent modes. Evanescent modes are only considered in predicting the reflection ratio against the vertical barrier and energy losses due to vortex shedding from the lower edge of plate are taken into account. A new relationship to relate the near-bed concentration to the depth-mean concentration is presented by analyzing the vertical structure of concentration. The numerical solutions were also compared with experimental data on morphological changes within a rectangular harbor of constant water depth. Through the numerical experiments, the vortex-induced flow appears to be not ignorable in predicting the morphological changes although the immersion depth of a plate is not deep.

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발달 단계의 축대칭 열대저기압의 각운동량에 관한 연구 (Study on the Angular Momentum of Axisymmetric Tropical Cyclone in the Developing Stage)

  • 강현규;정형빈
    • 대기
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    • 제23권1호
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    • pp.1-11
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    • 2013
  • The angular momentum transport of an idealized axisymmetric vortex in the developing stage was investigated using the Weather Research and Forecast (WRF) model. The balanced axisymmetric vortex was constructed based on an empirical function for tangential wind, and the temperature, geopotential, and surface pressure were obtained from the balanced equation. The numerical simulation was carried out for 6 days on the f-plane with the Sea Surface Temperature (SST) set as constant. The weak vortex at initial time was intensified with time, and reached the strength of tropical cyclone in a couple of days. The Absolute Angular Momentum (AAM) was transported along with the secondary circulation of the vortex. Total AAM integrated over a cylinder of radius of 2000 km decreased with simulation time, but total kinetic energy increased rapidly. From the budget analysis, it was found that the surface friction is mainly responsible for the decrease of total AAM. Also, contribution of the surface friction to the AAM loss was about 90% while that of horizontal advection was as small as 8%. The trajectory of neutral numerical tracers following the secondary circulation was presented for the Lagrangian viewpoint of the transports of absolute angular momentum. From the analysis using the trajectory of tracers it was found that the air parcel was under the influence of the surface friction continuously until it leaves the boundary layer near the core. Then the air parcel with reduced amount of angular momentum compared to its original amount was transported from boundary layer to upper level of the vortex and contributed to form the anti-cyclone. These results suggest that the tropical cyclone loses angular momentum as it develops, which is due to the dissipation of angular momentum by the surface friction.

경사정지수역으로 유입되는 2차원 밀도류의 거동 (Behavior of Two Dimensional Density Flow into a Reservoir with Sloping Bottom)

  • 윤태훈;전시영
    • 물과 미래
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    • 제20권3호
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    • pp.237-245
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    • 1987
  • 경사정지수역으로 유입되는 밀도류의 거동이 흐름의 지배방정식인 연속방정식 운동량보존식 및 추적물수송식에 의하여 수치적으로 해석된다. 최대여행거리와 안정 plunge point는 바닥경사와 유입밀도 Froude 수 $Fr_e$에 지배를 받는다. 또한 그들은 바닥밀도류의 상부나 plunge point의 하류에 형성된 와와 밀접한 관계가 있다. Plunge depth는 바닥경사와 $Fr_e$의 함수이고, 본 수치실험에서 얻은 plunge depth는 발표된 실험자료나 해석해와 비교적 잘 맞았으며 이에 관한 예측식이 유도되었다.

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Performance predictions and acoustic analysis of the HVAB rotor in hover

  • Mali, Hajar;Benmansour, Kawtar;Elsayed, Omer;Qaissi, Khaoula
    • Advances in aircraft and spacecraft science
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    • 제9권4호
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    • pp.319-333
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    • 2022
  • This work presents a numerical investigation of the aerodynamics and aero acoustics of the HVAB rotor in hover conditions. Two fully turbulent models are employed, the one-equation Spalart-Allmaras model and the two-equation k-ω SST model. Transition effects are investigated as well using the Langtry-Menter γ-Re θt transition transport model. The noise generation and propagation are being investigated using the Ffows-Williams Hawking model for far-field noise and the broadband model for near-field noise. Comparisons with other numerical solvers and with the PSP rotor test data are presented. The results are presented in terms of thrust and power coefficients, the figure of merit, surface pressure distribution, and Sound pressure level. Velocity, pressure, and vortex structures generated by the rotor are also shown in this work. In addition, this work investigates the contribution of different blade regions to the overall noise levels and emphasizes the importance of considering specific areas for future improvements.

축류팬 날개 끝 윙렛 형상의 적용 유무에 따른 공기역학적 성능 및 유동 소음에 관한 수치적/실험적 연구 (Numerical and experimental investigations on the aerodynamic and aeroacoustic performance of the blade winglet tip shape of the axial-flow fan)

  • 유서윤;정철웅;김종욱;박병일
    • 한국음향학회지
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    • 제43권1호
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    • pp.103-111
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    • 2024
  • 축류팬은 상대적으로 저압의 유동 영역에서 유동을 수송하기 위해 사용되며, 다양한 설계 변수에 대해 설계된다. 축류팬의 날개 끝 형상은 유동 및 소음 성능에 지배적인 역할을 수행하며 이에 대한 대표적인 유동 현상으로 날개 끝에서 발생하는 날개 끝 와류와 누설 와류가 있다. 이러한 3차원 유동 구조를 제어하기 위해 다양한 연구가 수행되어 왔으며, 항공기 분야에서 날개 끝 와류를 억제하고 효율을 증가시키기 위해 윙렛 형상이 개발되었다. 본 연구에서는 에어컨 실외기용 축류팬 날개에 적용된 윙렛 형상의 영향을 분석하기 위한 수치적, 실험적 연구를 수행하였다. 3차원 유동 구조 및 유동 소음을 수치적으로 분석하기 위해 unsteady Reynolds-Averaged Navier-Stokes(RANS) 방정식과 Ffocws-Williams and Hawkings(FW-H) 방정식을 전산유체역학 기법에 기초하여 수치 해석하였으며, 실험 결과와의 비교를 통해 수치 기법의 유효성을 검증하였다. 윙렛 형상에 따른 날개 끝 와류와 누설 와류의 형성의 차이를 3차원 유동장을 통해 비교하고, 그에 따른 공기역학적 성능을 정량적으로 비교하였다. 또한, 예측 유동장을 바탕으로 소음을 수치적으로 모사하여 윙렛 형상이 유동 소음 측면에 미치는 영향을 분석하였다. 대상 팬 모델의 시제품을 제작하여 유동 및 소음 실험을 실시하여 실제 성능을 정량적으로 평가하였다.

축류터빈에서 끝간격 유동에 의한 편향각과 압력손실의 모형 (Modeling of Deviation Angle and Pressure Loss Due to Rotor Tip Leakage Flow Effects in Axial Turbines)

  • 윤의수;박부룡;정명균
    • 대한기계학회논문집B
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    • 제22권11호
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    • pp.1591-1602
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    • 1998
  • Simple spanwise distribution models of deviation angle and pressure loss coefficient due to the tip leakage flow are formulated for use in association with the streamline curvature method as a flow analysis. Combining these new models with the previous deviation and loss models due to secondary flow, a robust streamline curvature method is established for flow analysis of single-stage, subsonic axial turbines with wide ranges of turning angle, aspect ratio and blading type. At the exit from rotor rows, the flow variables are mixed radially according to a spanwise transport equation. The proposed streamline curvature method is tested against a forced vortex type turbine as well as a free vortex type one. The results show that the spanwise variations of flow angle, axial velocity and loss coefficients at rotor exit are predicted with good accuracy, being comparable to a steady three-dimensional Navier-Stokes analysis. This simple and fast flow analysis is found to be very useful for the turbine design at the initial design phase.