• Title/Summary/Keyword: Mach number

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Effects of Characteristic Condition Number on Convergence in Calculating Low Mach Number Flows, I : Euler Equations (저속 유동 계산의 수렴성에 미치는 특성 조건수의 영향 I : 오일러 방정식)

  • Lee, Sang-Hyeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.2
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    • pp.115-122
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    • 2008
  • The effects of characteristic condition number on the convergence of preconditioned Euler equations were investigated. The two-dimensional preconditioned Euler equations adopting Choi and Merkle's preconditioning and the temperature preconditioning are considered. Preconditioned Roe's FDS scheme was adopted for spatial discretization and preconditioned LU-SGS scheme was used for time integration. It is shown that the convergence characteristics of the Euler equations are strongly affected by the characteristic condition number, and there is an optimal characteristic condition number for a problem. The optimal characteristic condition numbers for the Choi and Merkle's preconditioning and temperature preconditioning are different.

A new insight into design of acoustic liner arrays arrangement in the presence of a grazing flow

  • Hadi Dastourani ;Iman Bahman-Jahromi
    • Advances in Computational Design
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    • v.8 no.4
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    • pp.273-293
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    • 2023
  • This study evaluated the acoustic performance of two configurations of serial HR arrays and lined HR arrays in the presence of grazing flow using a 3D numerical simulation. The dual, triple, and quad HR arrays were compared to the conventional HR array. The simulation results showed that the number of resonant frequencies increased with the number of serial HR arrays. The CTL did not significantly change with the number of serial HR arrays. The acoustic performance of the two, three, and four-lined HR arrays was compared to the conventional HR array. The results showed that the resonant frequency and TLmax increased with the number of lined HR arrays. The CTL also increased with the number of lined HR arrays. The effect of the grazing flow Mach number (Ma) was investigated on the four-lined HR array configuration and compared to the conventional HR configuration. TLmax and CTL decreased for both configurations with increasing Ma. The four-lined HR array configuration had significantly better acoustic performance than the conventional HR configuration. The TLmax and CTL increased by more than 300% when the configuration was changed from the conventional HR to the four-lined HR array at Ma = 0.The increment percentage decreased with increasing Ma.

Analysis of Rocket Booster Separation from Air-Breathing Engine with Kane's Method (Kane 다물체 동력학을 이용한 공기흡입식 추진기관 부스터 분리에 관한 연구)

  • Choi, Jong-Ho;Lim, Jin-Shik
    • Journal of the Korean Society of Propulsion Engineers
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    • v.13 no.3
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    • pp.41-49
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    • 2009
  • The present paper describes a mathematical modeling and simulation of the separation of a solid rocket booster from an air breathing engine vehicle. The vehicle and booster are considered as a multi-connected body and the booster is assumed to move only along the axial direction of the vehicle. The dynamic motion of the vehicle and the booster were modeled by using Kane's method. The aerodynamic forces on the whole system along various positions of booster were calculated by using DATCOM software and the internal pressure force acting on the effective surface during separation was simply calculated with gas dynamics and Taylor MacColl equation. Numerical simulation was done by using Mathworks-Matlab. From the result, the variation of Mach number and angle of attack are not large during the separation, so the variation of pitch angle and the characteristics of inlet flow for varying the Mach number and angle of attack during the separation test can be identified as neglectable values.

Supersonic Flow Air Data Acquisition Algorithm Using Total Pressure Sensors (전압력센서를 적용한 초고속 유동데이터 산출 알고리즘)

  • Choi, Jong-Ho;Lee, Jae-Yoon;Yoon, Hyun-Gull;Lim, Jin-Shik
    • Journal of the Korean Society of Propulsion Engineers
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    • v.15 no.5
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    • pp.60-65
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    • 2011
  • The development of an air data acquisition algorithm has been described in the supersonic flow at the preliminary design stage with pressure data acquisition device composed of major three total pressure sensors and two static pressure sensors which are installed on the surface of a cone type supersonic inlet. Through this algorithm, Mach number, angle of attack and sideslip angle can be very easily derived with simple interpolation algorithm and predefined data tables. The available range of Mach number is 1.6 to 4.0, angle of attack, $-12^{\circ}$ to $12^{\circ}$ and sideslip angle, $-12^{\circ}$ to $12^{\circ}$. In preliminary design stage, the data tables applied to the developed algorithm are constructed with data driven by Taylor Maccoll equation. The present algorithm would be useful to get supersonic flow air data for the various aerial vehicles and their flight tests.

Influence of Performance and Internal Flow of a Radial Inflow Turbine with Variation of Vane Nozzle Exit Angles (베인노즐 출구각도에 따른 100kW급 구심터빈의 성능 및 내부유동의 영향)

  • Mo, Jang-Oh;Kim, You-Taek;Oh, Cheol;Lee, Young-Ho
    • Journal of Advanced Marine Engineering and Technology
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    • v.35 no.6
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    • pp.757-764
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    • 2011
  • In this study, we analysed the influence of the performance and inflow flow of a radial inflow turbine with the variation of vane nozzle exit angles for a 100kW class turbine applicable in the waste heat recovery system. For this, three-dimensional CFD analysis was performed using commercial code called ANSYS Fluent 12.1. As the vane nozzle exit angle was more increased the reattachment region near blades of the vane nozzle got smaller, and also the Mach number at vane nozzle exit was observed to be 1 due to the effect of the cross section reduction. Through this study, we expect that the analysed results will be used as the design material for the composition of the turbine optimal design parameters corresponding to the target output power.

Investigation of Transonic and Supersonic Flows over an Open Cavity Mounted on Curved Wall (I) - Steady Flow Characteristics - (곡면상에 설치된 열린 공동을 지나는 천음속/초음속 유동에 관한 연구 (I) - 정상 유동의 특성 -)

  • Ye, A Ran;Das, Rajarshi;Kim, Huey Dong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.39 no.3
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    • pp.231-236
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    • 2015
  • Investigations into cavity flows have been conducted for decades now, most of them being about zero-pressure-gradient flows entering a cavity on a straight wall. However, the flow over curved walls in real-life situations has not been fully investigated. As cavity flows on curved walls exert centrifugal force, these walls are likely to possess different features from straight walls. To verify this possibility, this study investigated cavity flows on curved walls. Using numerical method, the effect of two variables, namely, radius of curvature on a curved wall and inlet Mach number, were investigated for subsonic and supersonic cavity flows. The result demonstrates that the value of the peak pressure generated inside the cavity increases with the decrease in the radius of curvature on a curved wall or an increase in the inlet Mach number. The total pressure loss in the cavity also results in an increase in the cavity drag.

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

  • Moon, Seong-Mok;Kim, Chong-Am;Rho, Oh-Hyun;Hong, Seung-Kyu
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.8
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    • pp.20-28
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    • 2004
  • For the prediction on the onset of oblique shock wave-induced vortex breakdown, computational studies on the Oblique Shock wave/Vortex Interaction (OSVI) are conducted and compared with both experimental results and analytic mode1. A Shock-stable numerical scheme, the Roe scheme with Mach number-based function (RoeM), and a two-equation eddy viscosity-transport approach arc used for three-dimensional turbulent flow computations. The computational configuration is identical to available experiment, and we attempt to ascertain the effect of parameters such as a vortex strength, streamwise velocity deficit, and shock strength at a freestream Mach number of 2.49. Numerical simulations using the k-w SST turbulence model and suitably modeled vortex profiles are able to accurately reproduce many fine features through a direct comparison with experimental observations. The present computational approach to determine the criterion on the onset of oblique shock wave-induced vortex breakdown is found to be in good agreement with both the experimental result and the analytic prediction.

Experimental Study on the Static Stability of a Sounding Rocket Model in the Supersonic Wind Tunnel (과학로켓 모델의 정적 안정성에 대한 초음속풍동 실험연구)

  • Lee, Sang-Hyun;Cho, Hwan-Kee;Sung, Hong-Gye;Kim, Jin-Kon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.9
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    • pp.856-861
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    • 2010
  • In this work, experiments on hybrid sounding rocket were conducted to investigate the aerodynamic characteristics and analyze longitudinal static stability. Tests were performed on 1/10 scale models of sounding rocket through Mach number ranging from 1.75 to 2.5 and for angle of attack from $0^{\circ}$ to $6^{\circ}$. Aerodynamic forces and moments were measured by means of a 4 component internal balance. With measured forces and moments, static stability characteristics of rocket were calculated. Tests were made for three models with different length to determine the effect of body length. The visualization of shock waves was carried out by Schlieren optical system to observe variations of shock waves with Mach number and angle of attack.

Drag reduction for payload fairing of satellite launch vehicle with aerospike in transonic and low supersonic speeds

  • Mehta, R.C.
    • Advances in aircraft and spacecraft science
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    • v.7 no.4
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    • pp.371-385
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    • 2020
  • A forward-facing aerospike attached to a payload fairing of a satellite launch vehicle significantly alters its flowfield and decreases the aerodynamic drag in transonic and low supersonic speeds. The present payload fairing is an axisymmetric configuration and consists of a blunt-nosed body along with a conical section, payload shroud, boat tail and followed by a booster. The main purpose of the present numerical simulations is to evaluate flowfield and assess the performance of aerodynamic drag coefficient with and without aerospike attached to a payload fairing of a typical satellite launch vehicle in freestream Mach number range 0.8 ≤ M ≤ 3.0 and freestream Reynolds number range 33.35 × 106/m ≤ Re ≤ 46.75 × 106/m whichincludes the maximum aerodynamic drag and maximum dynamic conditions during ascent flight trajectory of the satellite launch vehicle. A numerical simulation has been carried out to solve time-dependent compressible turbulent axisymmetric Reynolds-averaged Navier-Stokes equations. The closure of the system of equations is achieved using the Baldwin-Lomax turbulence model. The aerodynamic drag reduction mechanism is analysed employing numerical results such as velocity vector plots, density and Mach contours in conjunction with the experimental flow visualization pictures. The variations of wall pressure coefficient over the payload fairing with and without aerospike are exhibiting different kind of flowfield characteristics in the transonic and low supersonic speeds. The numerically computed results are compared with schlieren pictures, oil flow patterns and measured wall pressure distributions and exhibit good agreement between them.

A Study on Buzz Margin and Thrust Control of Supersonic Engine using PI Controller (PI 제어기를 이용한 초음속 엔진 버즈마진 및 추력제어에 관한 연구)

  • Kong, Chang-Duk;Ki, Ja-Young;Kho, Seong-Hee
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2009.11a
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    • pp.573-577
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    • 2009
  • Dynamic behavior simulation of supersonic engine was performed and PI control algorithm was studied for the buzz control in the inlet and the thrust control. Firstly, required thrust was tracked according to the fuel flow control and then inlet pressure was regulated through the nozzle throat area control so that the buzz margin has the positive all the time. The control was performed according to the change of flight Mach number, altitude and angle of attack. The proportional gain and the integral gain for regulating the buzz margin was induced and simulated. In the results, it was confirmed and satisfied that control target in the operating area was changed the angle of attack from $0^{\circ}$ to $10^{\circ}$ at the flight Mach number of 2.1~3.0.

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