• Title/Summary/Keyword: Shock-shock interaction

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

  • Shim E. B.;Chang K. S.
    • Journal of computational fluids engineering
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    • v.1 no.1
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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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Visualization of Interacting Parallel Supersonic Free Jets using NO-LIF

  • Niimi Tomohide;Ishida Toshihiko
    • 한국가시화정보학회:학술대회논문집
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    • 2001.12a
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    • pp.36-43
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    • 2001
  • The flow field structures of two interacting parallel supersonic free jets are studied by flow visualization using planar laser-induced fluorescence of NO seeded in nitrogen gas. The experiments are carried out for several distances between two orifice centers and for various ratios of the pressure in the reservoir to that in the expansion chamber. The flow fields are visualized mainly on the plane including two jet centerlines and its characteristic shock system, especially a cell structure formed secondly by interaction of two jets, are analyzed. The positions of the normal shock depending on the pressure ratios are also compared.

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Numerical Analysis for the Performance of an Axial-flow Compressor with Three-Dimensional Viscous Effect (삼차원 점성 효과를 고려한 축류 압축기의 성능에 대한 수치해석)

  • Han Y. J.;Kim K. Y.;Ko S. H.
    • 한국전산유체공학회:학술대회논문집
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    • 2003.08a
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    • pp.182-187
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    • 2003
  • Numerical analysis of three-dimensional vicous flow is used to compute the design speed operating line of a transonic axial-flow compressor. The Navier-Stokes equation was solved by an explicit finite-difference numerical scheme and the Baldwin-Lomax turbulence model was applied. A spatially-varying time-step and an implicit residual smoothing were used to improve convergence. Two-stage axial compressor of a turboshaft engine developed KARI was chosen for the analysis. Numerical results show reasonably good agreements with experimental measurements made by KARI. Numerical solutions indicate that there exist a strong shock-boundary layer interaction and a subsequent large flow separation. It is also observed that the shock is moved ahead of the blade passage at near-stall condition.

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Evaluation of Turbulence Models for A Compressor Rotor (축류압축기 회전차유동에 대한 난류모델의 성능평가)

  • Lee, Yong-Kab;Kim, Kwang-Yong
    • 유체기계공업학회:학술대회논문집
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    • 1999.12a
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    • pp.179-186
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    • 1999
  • Three-dimensional flow analysis is implemented to investigate the flow through transonic axial-flow compressor rotor(NASA R67), and to evaluate the performances of k-$\epsilon$ and Baldwin-Lomax turbulence models. A finite volume method is used for spatial discretization. And, the equations are solved implicitly in time with the use of approximate factorization. Upwind difference scheme is used for inviscid terms, but viscous terms are centrally differenced. The flux-difference-splitting of Roe is used to obtain fluxes at the cell faces. Numerical analysis is performed near peak efficiency and near stall. And, the results are compared with the experimental data for NASA R67 rotor. Blade-to-Blade Mach number distributions are compared to confirm the accuracy of the code. From the results, we conclude that k-$\epsilon$ model is better for the calculation of flow rate and efficiency than Baldwin-Lomax model. But, the predictions for Mach number and shock structure are almost same.

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공동형상에 따른 경사충격파와 경계층 상호작용의 피동제어 성능 비교 연구

  • Kim, Hong-Gyu
    • Proceeding of EDISON Challenge
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    • 2016.03a
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    • pp.604-609
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    • 2016
  • 슬롯판을 이용한 경사충격파와 경계층 간섭유동 제어에서, 슬롯판 아래에 있는 공동부의 형상을 바꾸어 가며 제어 성능을 비교하는 수치적 연구가 수행되었다. 공동형상 직사각형 5개, 사다리꼴 3개를 선정하여 shock 뒤에서 경계층 안정성, 전압손실을 기준으로 제어 성능을 평가하였다. 수치해석 결과 모든 형상에 대해 제어하지 않은 상태보다 좋은 성능을 얻었다. 그 중 경계층 안정성 측면에서는 형상 L과 R, 전압손실 감소 측면에서는 형상 M과 A가 효과적임을 확인하였고, 종합적으로 슬롯의 끝 면과 공동의 길이방향 끝 면이 일치하는 형상에서 상대적으로 좋은 결과를 얻음을 확인했다. 또한 슬롯과 공동 내부유동을 분석하면서 경계층 안정성과 전압손실 감소에 영향을 미치는 것은 separation 영역을 얼마 원활히 흡입하는지의 여부임을 알 수 있었고, 상류 슬롯에서 발생하는 shock에 대한 추후 해결 연구도 필요함을 알 수 있었다.

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Transient wave propagation in piezoelectric hollow spheres subjected to thermal shock and electric excitation

  • Dai, H.L.;Wang, X.
    • Structural Engineering and Mechanics
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    • v.19 no.4
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    • pp.441-457
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    • 2005
  • An analytical method is presented to solve the problem of transient wave propagation in a transversely isotropic piezoelectric hollow sphere subjected to thermal shock and electric excitation. Exact expressions for the transient responses of displacements, stresses, electric displacement and electric potentials in the piezoelectric hollow sphere are obtained by means of Hankel transform, Laplace transform, and inverse transforms. Using Hermite non-linear interpolation method solves Volterra integral equation of the second kind involved in the exact expression, which is caused by interaction between thermo-elastic field and thermo-electric field. Thus, an analytical solution for the problem of transient wave propagation in a transversely isotropic piezoelectric hollow sphere is obtained. Finally, some numerical results are carried out, and may be used as a reference to solve other transient coupled problems of thermo-electro-elasticity.

Shock wave instability in a bent channel with subsonic/supersonic exit

  • Kuzmin, Alexander
    • Advances in aircraft and spacecraft science
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    • v.6 no.1
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    • pp.19-30
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    • 2019
  • Two- and three-dimensional turbulent airflows in a 9-degrees-bent channel are studied numerically. The inner surfaces of upper and lower walls are parallel to each other upstream and downstream of the bend section. The free stream is supersonic, whereas the flow at the channel exit is either supersonic or subsonic depending on the given backpressure. Solutions of the Reynolds-averaged Navier-Stokes equations are obtained with a finite-volume solver ANSYS CFX. The solutions reveal instability of formed shock waves and a flow hysteresis in considerable bands of the free-stream Mach number at zero and negative angles of attack. The instability is caused by an interaction of shocks with the expansion flow formed over the convex bend of lower wall.

Tip Leakage Flow on the Transonic Compressor Rotor (천음속 회전익에서의 누설유동)

  • Park, Jun-Young;Chung, Hee-Taeg;Baek, Je-Hyun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.1
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    • pp.84-94
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    • 2003
  • It is known that tip clearance flows reduce the pressure rise, flow range and efficiency of the turbomachinery. So, the clear understanding about flow fields in the tip region is needed to efficiently design the turbomachinery. The Navier-Stokes code with the proper treatment of the boundary conditions has been developed to analyze the three-dimensional steady viscous flow fields in the transonic rotating blades and a numerical study has been conducted to investigate the detail flow physics in the tip region of transonic rotor, NASA Rotor 67. The computational results in the tip region of transonic rotors show the leakage vortices, leakage flow from pressure side to suction side and their interaction with a shock. Depen ding on the operating conditions, toad distributions and the position of shock-wave on the blade surface are very different close to the blade tip of the transonic compressor rotor. The load distribution and the shock-wave position close to the blade tip had the close relationship with the starting position of leakage vortex and the direction of leakage flow.

Experimental Study of Time-Dependent Evolution of Water Droplet Breakup in High-Speed Air Flows

  • Park, Gisu;Yeom, Geum-Su;Hong, Yun Ky;Moon, Kwan Ho
    • International Journal of Aeronautical and Space Sciences
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    • v.18 no.1
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    • pp.38-47
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    • 2017
  • This paper presents experimental data on water droplet breakup in high-speed air flows. Exact-time-dependent evolution of wave and droplet interaction as well as breakup processes were optically visualized using a shadowgraph technique. Droplet experiments were conducted in a shock tube. Five flow conditions were used with an incident shock wave Mach number from 1.40 to 2.19 with Weber number based on the droplet initial diameter from 2300 to 38000, respectively. This corresponds to post-shock flow speeds varying from subsonic to supersonic. The considered droplet diameters were 2.0 mm to 3.6 mm. Some interesting wave patterns in the near wake were found. The present data shows that with an increase in the Weber number the droplet acceleration coefficient decreases and the level of decrease was weaker for the case of higher Mach numbers. This state of affair is different to the existing data in literature. Possible reasons are discussed.

Numerical Investigation on Internal Flow Field of a Single-Stage Transonic Axial Compressor (수치해석을 활용한 1단 천음속 압축기 내부 유동장 분석)

  • Song, Ji-Han;Hwang, Oh-Sik;Park, Tae Choon;Lim, Byung-Jun;Yang, Soo-Seok;Kang, Young-Seok
    • The KSFM Journal of Fluid Machinery
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    • v.15 no.6
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    • pp.85-91
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    • 2012
  • Numerical simulations on a single stage transonic compressor which is developed by Korea Aerospace Research Institute are carried out and their results are compared with experimental data for cross validations. Comparisons between experimental data and numerical simulation results show good agreements on a performance curve, static pressure and total pressure distributions. CFD results show that there is a clear interaction between tip leakage flow and normal shock in the rotor passage. Tip leakage flows are almost dissipated after the strong normal shock and it forms a strong recirculation near the blade tip. Also a large separation region grows on the suction surface just after the normal shock. As the pressure ratio and blade loading increase, the normal shock line moves upstream and it starts to deviate from the blade leading edge. Then the tip leakage flow does not overcome the strong adverse pressure gradient and flow blockage originated from the tip recirculation region. As a result, the tip leakage flow heads for the neighboring blade leading edge, which results in a compressor stall.