• Title/Summary/Keyword: Mach Number

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A Study on Improvement γ-Reθt Model for Hypersonic Boundary Layer Analysis (극 초음속 경계층 해석을 위한 γ-Reθt모델 개선 연구)

  • Kang, Sunoh;Oh, Sejong;Park, Donghun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.48 no.5
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    • pp.323-334
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    • 2020
  • Since boundary layer transition has a significant impact on the aero-thermodynamic performance of hypersonic flight vehicles, capability of accurate prediction of transition location is essential for design and performance analysis. In this study, γ-Reθt model is improved to predict transition of hypersonic boundary layers and validated. A coefficient in the production term of the intermittency transport equation that affects the transition onset location is constructed and applied as a function of Mach number, wall temperature, and freestream stagnation temperature based on the similarity numerical solution of compressible boundary layer. To take into account a Mach number dependency of transition onset momentum thickness Reynolds number and transition length, additional correlation equations are determined as function of Mach number and applied to Reθc and Flength correlations of the baseline model. The suggested model is implemented to a commercial CFD code in consideration of practical use. Analysis of hypersonic flat plate and circular cone boundary layers is carried out by using the model for validation purpose. An improvement of prediction capability with respect to variation of Mach number and unit Reynolds number is identified from the comparison with experimental data.

Effect of Nonequilibrium Condensation on the Oscillation of the Terminating Shock in a Transonic Airfoil Flow (천음속 익형 유동에 있어서 비평형 응축이 충격파 진동에 미치는 영향)

  • Kim, Jin-Soo;Lee, Sung-Jin;Alam, Miah Md. Ashraful;Kwon, Soon-Bum
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.36 no.1
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    • pp.61-66
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    • 2012
  • In this study, to find the effect of nonequilibrium condensation on the oscillation of the terminating shock wave in transonic flows, an NACA0014 airfoil flow with nonequilibrium condensation is analyzed using the total variation diminishing (TVD) numerical scheme. Transonic free stream Mach numbers of 0.81-0.87 are tested with variations in the stagnation relative humidity. For the same free stream Mach number and attack angle of ${\alpha}=0^{\circ}$, an increase in the stagnation relative humidity attenuates the strength of the terminating shock and reduces the oscillation of the terminating shock wave. Furthermore, for the same stagnation relative humidity, the larger the free stream Mach number becomes, the shorter the period of the oscillation shock wave is. The excursion distance of the oscillation shock increases with the free stream Mach numbers for the same stagnation relative humidity. Finally, it is found that for the same shock location, the strength of the oscillating shock facing upstream is stronger than that facing downstream.

Numerical Analysis on Shock Waves Influence Generated by Supersonic Jet Flow According to Working Fluids (작동유체에 따른 초음속 제트유동에 의해 생성되는 충격파 영향에 관한 수치해석)

  • Jung, Jong-Kil;Yoon, Jun-Kyu;Lim, Jong-Han
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.7
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    • pp.510-517
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    • 2016
  • Supersonic jet technology using high pressures has been popularly utilized in diverse industrial and engineering areas related to working fluids. In this study, to consider the effects of a shock wave caused by supersonic jet flow from a high pressure pipe, the SST turbulent flow model provided in the ANSYS FLUENT v.16 was applied and the flow characteristics of the pressure ratio and Mach number were analyzed in accordance with the working fluids (air, oxygen, and hydrogen). Before carrying out CFD (Computational Fluid Dynamics) analysis, it was presumed that the inlet gas temperature was 300 K and pressure ratio was 5 : 1 as the boundary conditions. The density function was derived from the ideal gas law and the viscosity function was derived from Sutherland viscosity law. The pressure ratio along the ejection distance decreased more in the lower density working fluids. In the case of the higher density working fluids, however, the Mach number was lower. This shows that the density of the working fluids has a considerable effect on the shock wave. Therefore, the reliability of the analysis results were improved by experiments and CFD analysis showed that supersonic jet flow affects the shock wave by changing shape and diameter of the jet, pressure ratio, etc. according to working fluids.

Supersonic flow bifurcation in twin intake models

  • Kuzmin, Alexander;Babarykin, Konstantin
    • Advances in aircraft and spacecraft science
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    • v.5 no.4
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    • pp.445-458
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    • 2018
  • Turbulent airflow in channels of rectangular cross section with symmetric centerbodies is studied numerically. Shock wave configurations formed in the channel and in front of the entrance are examined. Solutions of the unsteady Reynolds-averaged Navier-Stokes equations are obtained with finite-volume solvers of second-order accuracy. The solutions demonstrate an expulsion/swallowing of the shocks with variations of the free-stream Mach number or angle of attack. Effects of the centerbody length and thickness on the shock wave stability and flow bifurcation are examined. Bands of the Mach number and angle of attack, in which there exist non-unique flow fields, are identified.

Influence of Upstream State on the Interacting Turbulent Boundary Layer (相互作용하는 亂流 境界層에 대한 上流狀態의 影響)

  • 이덕봉
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.3
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    • pp.277-284
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    • 1986
  • A numerical procedure (integral method) for calculating the interacting turbulent boundary layer is set up. With this method, some free interactions with various upstream conditions are simulated in order to investigate the influence of upstream state on the interacting turbulent boundary layer. The results obtained by this numerical simulation can be summarized as follows; Free interaction of upstream unstabilized (or separated) turbulent boundary layer is subcritical regardless of its external Mach number, while free interaction of upstream stabilized turbulent boundary layer has two different characteristics (subcritical, supercritical) according to the external Mach number.

Shock Waves in He II induced by a Gas Dynamic Shock Wave Impingement (기체역학적 충격파의 입사에 의해 유도된 초유동헬륨중의 충격파)

  • ;H. Nagai;Y. Ueta;K. Yanaka;M. Murakami
    • Proceedings of the Korea Institute of Applied Superconductivity and Cryogenics Conference
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    • 2002.02a
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    • pp.23-26
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    • 2002
  • Two modes of shock waves propagating in He II (superfluid helium), this is a compression and a thermal shock waves, were studied experimentally by using superconductive temperature sensors, piezo pressure transducers and Schlieren visualization method with an ultra-high-speed video camera (40,500 pictures/sec). The shock waves are induced by a gas dynamic shock wave impingement upon a He II free surface. It is found that the shock Mach number of a transmitted compression shock wave is up to 1.16, and the shock Mach number of a thermal shock wave coincides well with the second sound velocity under each compressed He II state condition. The temperature rise ratio of an induced thermal shock wave to that of an incident gas dynamic shock wave was found to be very small, as small as 0.003 at 1.80K.

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A Numerical Analysis of Supersonic Counter Jet Flow Effect on Performance of a Supersonic Blunt-Body (초음속 역분사 유동이 초음속 비행체 성능에 미치는 영향에 대한 수치해석적 연구)

  • Seo D. K.;Seo J. I.;Song D. J.
    • Journal of computational fluids engineering
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    • v.7 no.3
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    • pp.1-8
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    • 2002
  • The counter jet flow which is injected against the free stream at stagnation region of blunt body for improvement of aerodynamic performance has been studied by using upwind Navier-Stokes method. The variations of drag force and upwind forward penetration depth due to changes in the stagnation thermodynamic properties of counter jet flow such as total pressure, Mach number, and total temperature have been studied. The results show that the changes in the stagnation pressure and Mach number have large effects on the wall pressure and drag force, but the total temperature does not affect the wall pressure and drag force.

Numerical Study of slot injection into turbulent supersonic flow on adaptive meshes (적응 격자계를 이용한 초음속 난류유동장의 측면제트분사에 대한 수치적연구)

  • Kim J. R.;Kim I. T.;Kim J. S.
    • Journal of computational fluids engineering
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    • v.6 no.2
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    • pp.40-46
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    • 2001
  • Two-dimensional steady flowfields generated by slot injection into supersonic flow are numerically simulated by the integration of Navier-stokes equation with two-equation κ-turbulence model. High-order upwind scheme is used on unstructured adaptive meshes. The numerical results are compared with experimental data in terms of surface static pressure distributions, the length of the upstream separation region, and the height of the Mach surface for steady flowfields with a Mach number of 3.71 and a unit Reynolds number of 5.83×10/sup 6//m.

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Development of Equilibium Flow Calculation Program Using a Modified Newtonian Method (수정 뉴토니안 방법을 이용한 평형유동 해석 프로그램 개발)

  • Choi, Jaehyeok
    • Journal of the Korea Institute of Military Science and Technology
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    • v.19 no.4
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    • pp.483-491
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    • 2016
  • A simple aerodynamic calculation program for high Mach number flow is developed by combining the modified Newtonian method with Tannehill's curve fits for the thermodynamic properties of air in equilibrium state. Aerodynamic characteristics for a parabolic nose are predicted and compared with CFD(Computational Fluid Dynamics) analysis results. Comparison shows good agreements, and the developed program is expected to be a practical tool for slender body aerodynamic calculation for high Mach number flow.

Numerical Study of slot injection into turbulent supersonic flow on adaptive meshes (적응 격자계를 이용한 초음속 난류유동장의 측면제트분사에 대한 수치적연구)

  • Kim Jong-Rok;Kim Ik-Tae;Kim Jae-Soo
    • 한국전산유체공학회:학술대회논문집
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    • 2001.05a
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    • pp.15-20
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    • 2001
  • Two-dimensional steady flowfields generated by slot injection into supersonic flow are numerically simulated by the integration of Navier-stokes equation with two-equation $\kappa-\epsilon$ turbulence model. High-order upwind scheme is used on unstructured adaptive meshes. The numerical results are compared with experimental data in terms of surface static pressure distributions, the length of the upstream separation region, and the height of the Mach surface for steady flowfields with a Mach number of 3.71 and a unit Reynolds number of $5.83\times10^6/m$.

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