• Title/Summary/Keyword: Mach Number Distribution

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An Examination on the Singularoty of Grad Moment Equation for Shock Wave Problems

  • 오영기
    • Bulletin of the Korean Chemical Society
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    • v.17 no.4
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    • pp.385-390
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    • 1996
  • It has been well known that the Grad thirteen-moment equations have solutions only when the Mach number is less than a limiting value for the stationary plane shock-waves. The limit of Mach number has been re-examined by including successive terms in the series expansion of distribution function. The method employed is the linear analysis of moment equations near up-streaming and down-streaming flows. For the thirteen moment case, it has been confirmed that equations have solutions only when the Mach number is less than 1.6503, which is consistent with the literature value. For the case of twenty moments, the limit of Mach number is decreased to 1.3416.

A Study on the Inverse Shape Design of a Turbine Cascade Using the Permeable Boundary Condition and CFD (침투경계조건과 CFD를 이용한 터빈 역형상 설계에 관한 연구)

  • Lee, Eun-Seok;Seol, Woo-Seok
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.3116-3121
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    • 2007
  • In this paper, the inverse shape design is introduced using the permeable wall boundary condition. Inverse shape design defines the blade shape for the prescribed Mach numbers or pressure distribution on its surface. It calculates the normal mass flux from the difference between the calculated and prescribed pressure at the surface. A new geometry can be achieved after applying the quasi one-dimensional continuity equation from the leading edge to the trailing edge. For validation of this method, two test cases are studied. The first test case of inverse shape design illustrates the cosine bump with a strong shock. After seven geometry modifications, the shock-free bump geometry can be obtained. The second example concerns the redesign of a transonic turbine cascade. The initial isentropic Mach distribution has a peak on the upper surface. The target isentropic Mach number distribution was imposed smoothly. The peak of Mach distribution has disappeared at the final geometry. This proposed inverse design method has proven to be an efficient and robust tool in turbomachinery design fields.

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Analytical and computational analysis of pressure at the nose of a 2D wedge in high speed flow

  • Shaikh, Javed S.;Kumar, Krishna;Pathan, Khizar A.;Khan, Sher A.
    • Advances in aircraft and spacecraft science
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    • v.9 no.2
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    • pp.119-130
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    • 2022
  • Supersonic projectiles like rockets, missiles, or aircraft find various applications in the field of defense. The shape of the wings is mainly designed as wedge shape or delta wings for supersonic vehicles. The study of supersonic flows over the wedges and flat plate delta wings around the large scale of incidence angle is considered in the supersonic projectile. In the present paper, the prime attention is to study the pressure at the nose of the plane wedge over the various Mach number and the various angles of incidence. Ghosh piston theory is used to obtain the pressure distribution analytically, and the results are compared with CFD analysis results. The wedge angle and Mach number are the parameters considered for the research work. The range of wedge angle is 50 to 250, and Mach number is 1.5 to 4.0 are considered for the current research work. The analytical results show excellent agreement with the CFD results. The results show that both the parameters wedge angle and Mach number are influential parameters to vary the static pressure. The static pressure increases with an increase in Mach number and wedge angle.

Effect of Secondary Flow Injection on Flow Charncteristics in 3-Dimensional Supersonic Nozzle (초음속 노즐 내 2차 분사 slot 개수에 따른 유동 특성 변화)

  • Song, J.W.;Yi, J.J.;Cho, H.H.
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.3529-3533
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    • 2007
  • The advantages of the SITVC(secondary injection thrust vector control) technique over mechanical thrust vector systems include a reduction in both the nozzle weight and complexity due to the elimination of the mechanical actuators that are used in conventional vectoring. Computational study is performed to understand the fluidic thrust vectoring control of an axisymmetric nozzle, in which secondary gas injection is made in the divergent section of the nozzle. The nozzle has a design mach number 3. The effect of injection hole number and shape of secondary jet on the mach number distribution of SITVC were investigated. The standard ${\kappa}$ - ${\epsilon}$ turbulence model solved the complex three-dimensional nozzle flows perturbed by the secondary gas jet. The numerical code was validated by experiment. The results showed that the mach number distribution of circular and square nozzle are similar each other. As number of second injection hole increasing, a effect of deflection was decreased.

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NAVIER STOKES COMPUTATIONS ON A TWIN ENGINE NOZZLE-AFTERBODY

  • Gogoi, A.;Sundaramoorthi, S.
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.03a
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    • pp.761-770
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    • 2008
  • The report presents turbulent Navier Stokes computations on twin engine afterbody model with jet exhaust. The computations are carried out for free-stream Mach number of 0.8 to 1.20 and jet pressure ratio of 3.4 to 7.8. The Spalart-Allmaras turbulence model is used in the computations. Comparison is made with experimental data and Cp distribution around the afterbody is found to agree well with experiments. Flow features of the exhaust jet like under expansion, over expansion, Mach discs, etc are well captured. The effect of nozzle pressure ratio and flight Mach number are studied in detail. These computations serve as validation of the in-house code for twin jet afterbody.

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Test-particle Solutions for Electron Acceleration in Low Mach Number Shocks

  • Kang, Hyesung
    • The Bulletin of The Korean Astronomical Society
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    • v.45 no.1
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    • pp.52.1-52.1
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    • 2020
  • We propose semi-analytic models for the electron momentum distribution in weak shocks that accounts for both in situ acceleration and reacceleration through diffusive shock acceleration (DSA). In the former case, a small fraction of incoming electrons is assumed to be reflected at the shock ramp and pre-accelerated to the so-called injection momentum, pinj, above which particles can diffuse across the shock transition and participate in the DSA process. This leads to the DSA power-law distribution extending from the smallest momentum of reflected electrons, pref, all the way to the cutoff momentum, peq, constrained by radiative cooling. In the latter case, fossil electrons, specified by a power-law spectrum with a cutoff, are assumed to be re-accelerated from pref up to peq via DSA. We show that, in the in situ acceleration model, the amplitude of radio synchrotron emission depends strongly on the shock Mach number, whereas it varies rather weakly in the re-acceleration model.

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Variation of Supersonic Aircraft Skin Temperature under Different Mach number and Structure (비행마하수와 형상에 따른 초음속 항공기 표면온도 변화)

  • Cha, Jong Hyun;Kim, Taehwan;Bae, Ji-Yeul;Kim, Taeil;Jung, Daeyoon;Cho, Hyung Hee
    • Journal of the Korea Institute of Military Science and Technology
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    • v.17 no.4
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    • pp.463-470
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    • 2014
  • Stealth technology of combat aircraft is most significant capability in recent air battlefield. As the detector of IR missiles is being developed, IR stealth capability which is evaluated by IR signature level become more important than it was in previous generation. Among IR signature of aircraft from various sources, aerodynamic heating dominates in long-wavelength IR spectrum of $8{\sim}12{\mu}m$. Skin temperature change by aerodynamic heating which is derived by effects of Mach number and structure. The 4th and 5th generation aircraft are selected for calculation of the skin temperature, and its height and velocity in numerical conditions are 10,000 m and Ma 0.9~1.9 respectively. Aircraft skin temperature is calculated by computing convection of fluid and conduction, convection and radiation of surface. As the aircraft accelerates to higher Mach number, maximum skin temperature increases more rapidly than average temperature and temperature distribution changes in more sharp, interactive ways. The 4th generation aircraft whose shape is more complex than that of the 5th generation aircraft have complicated temperature distribution. On the other hand, the 5th generation aircraft whose shape is relatively simple shows plain temperature distribution and lower skin temperature in terms of both average and maximum value.

Experimental Study of Combustion Characteristic for Dual Mode Ramjet Combustor (이중모드 램제트 연소기 연소특성 실험적 연구)

  • Shim, ChangYeul;Namkoung, HyuckJoon;Kim, SunYong;Lee, MinSoo;Park, JooHyon;Kim, DongHwan
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2017.05a
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    • pp.325-329
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    • 2017
  • In this study, the combustion experiment of hydrocarbon-kerosene fueled dual mode ramjet combustor was performed at mach number 3.5~6.0 conditions. Through the experiment, the temperature and the pressure distribution inside the combustion chamber were measured and the combustion characteristics inside the combustion chamber were investigated. In the mach number 3.5~5.0 range, it was able to identify subsonic combustion in the downstream combustion chamber. In the mach number 6.0 condition, the injected fuel from the injectors was naturally fired, and it was possible to confirm that supersonic combustion was successful in the upper chamber.

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Natural Convection Heat Transfer Past an Outer Rectangular Corner (외부 직각모서리 부근에서의 자연대류 열전달)

  • 신순철;장근식;김승수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.5
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    • pp.598-605
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    • 1985
  • Laminar natural convection heat transfer past an outer rectangular corner was experimentally investigated by using Mach-Zehnder interferometer. The present geometry represents the case when the plume from a vertical flat plate and that from a horizontal one merge into a single plume. the temperature distribution and the local heat flux were measured in the range of Grashof number 8 * 10$^{4}$$r_{LH}$ <1.25 * 10$^{6}$ . The effect of the geometric aspect ratio was also considered. Correlation for the average Nusselt number vs. Grashof number was obtained by using a newly determined characteristic length. To determine the interaction of the plumes, the present results were compared with the similarity solutions available from the isolated vertical and isolated horizontal flat plates.

Asymmetric Vortices around a Body at High Angle of Attack Subsonic Flow (아음속 유동하의 고 받음각 물체 주위의 비대칭 와류 특성 연구)

  • Park, Mee-Young;Kim, Wan-Sub;Lee, Jae-Woo;Park, Soo-Hyung
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.33-38
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    • 2008
  • Numerical investigation of asymmetric vortices at high angles of attack subsonic flow is performed using three-dimensional Navier-Stokes equations. A small bump has been carefully selected and attached near the nose of an ogive cylinder to simulate symmetric vortices. Selected bump shape does develop asymmetric vortices and is verified using Lamont's experimental results. By changing the angle of attack, Reynolds numbers, and Mach numbers, the characteristics of asymmetric vortices are observed. The angle of attack which contributes significantly to the generation of asymmetric vortices are over 30 degrees. By increasing Mach number and Reynolds number asymmetric vortices, hence the side forces show decreasing trend..

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