• Title/Summary/Keyword: Shock Wave Theory

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Weak Shock Waves Reflected from a Blunt Body (앞이 무딘 물체에서 반사되는 약한 충격파)

  • Chang, Se-Myong;Chang, Keun-Shik
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.7
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    • pp.901-910
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    • 1999
  • Investigated In this paper is the shock reflection from a blunt body, In particular, a circular cylinder of 20 mm diameter, for the weak shock impinging in the range 1<$M_s$ <2. Pressure and shock speed are measured for various shock strengths. Double-pulse holographic interferograms are taken to study the unsteady flow field at $M_s=1.34$. These experimental results are, in overall, well compared with the unstructured adaptive finite volume computation of the Euler equations performed in this study. Correlation of incident and reflected shocks and shock-shock locus obtained by experiment, computation, and theory are presented in parallel.

Development of Impulse Propagation Model between Lanes through Temporal-Spatial Analysis (시공간적 분석을 통한 차로간 충격량 전파모형 개발)

  • Kim, Sang-Gu;Ryu, Ju-Hyeon
    • Journal of Korean Society of Transportation
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    • v.29 no.3
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    • pp.123-137
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    • 2011
  • In general, flow propagation has been explained using the shock wave theory which is expressed as a function of variations in volume and density. However, the theory has certain limitation in portraying heterogeneous flow, e.g., flow propagation between lanes. Motivated by this fact, this study seeks a new measure for analyzing the propagation characteristics of traffic flow at three sections of highway (i.e., merging area, weaving section, and basic section) from temporal and spatial perspectives, and then develops a model for estimating the measure for the flow propagation. The "shock wave speed" which is the measure widely adopted in literature, was first applied to describe the propagation characteristics, but it was hard to find distinct characteristics in the propagation. This finding inspires to develop a new measure named "Impulse Volume". It is shown that the measure better explains the propagation characteristics at the three study sections of highway. In addition, several models are also developed by performing multi-regression analyses to explain the flow propagation between lanes. The models proposed in this paper can be distinguished in three sections and the lane placement.

Investigation on the Flow Field Characteristics of a Highly Underexpanded Pulsed Plasma Jet

  • Kim, Jong-Uk;Kim, Youn J.
    • Journal of Mechanical Science and Technology
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    • v.15 no.12
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    • pp.1691-1698
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    • 2001
  • In recent years, significant progress has been made in modeling turbulence behavior in plasma and its effect on transport. It has also been made in diagnostics for turbulence measurement; however, there is still a large gap between theoretical model and experimental measurements. Visualization of turbulence can improve the connection to theory and validation of the theoretical model. One method to visualize the flow structures in plasma is a laser Schlieren imaging technique. We have recently applied this technique and investigated the characteristics of a highly underexpanded pulsed plasma jet originating from an electrothermal capillary source. Measurements include temporally resolved laser Schlieren imaging of a precursor blast wave. Analysis on the trajectory of the precursor blast wave shows that it does not follow the scaling expected for a strong shock resulting from the instantaneous deposition of energy at a point. However, the shock velocity does scale as the square root of the deposited energy, in accordance with the point deposition approximation.

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Study on Concept Design of Supersonic Inlet and Flow Control of Bleeding under Operating Condition (초음속 흡입구 개념 설계와 운영조건 내의 블리딩(bleeding) 유동제어 연구)

  • Choi, Jaehwan;Cheon, Somin;Choe, Yohan;Hong, Wooram;Kim, Chongam
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.40 no.12
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    • pp.1025-1031
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    • 2012
  • The present paper deals with concept design of supersonic inlet based on compressible flow theory and flow control of bleeding in order to guarantee stability of supersonic inlet of ramjet engine in broad range of operating conditions. Shock instability, shock wave-boundary layer interaction and flow separation should be properly controlled to improve performance of the supersonic inlet. Considering shock strength, boundary layer and flow separation, the supersonic inlet is modified from the basic model which is designed under inviscid theory. Consequently, shock is stabilized, and required mass flow rate is obtained. Furthermore, bleeding is applied to the supersonic inlet to maintain performance in off-design conditions. Mass flow condition is adopted for modeling of bleeding effect, and performance of the supersonic inlet is evaluated by changing bleeding locations and numbers.

Spiral Arm Features in Disk Galaxies: A Density-Wave Theory

  • Kim, Yonghwi;Ho, Luis C.
    • The Bulletin of The Korean Astronomical Society
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    • v.44 no.1
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    • pp.34.2-34.2
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    • 2019
  • Several observational results show a tighter pitch angle at wavelengths of optical and near-infrared than those that are associated with star formation, which is in agreement with the prediction of the density wave theory. In my recent numerical studies, the dependence of the shock positions relative to the potential minima is due to the tendency that stronger shocks form farther downstream. This causes a systematic variation of the perpendicular Mach number, with radius and makes the pitch angle of the gaseous arms smaller than that of the stellar arms, which supports the prediction of the density-wave theory, independently. However, some observations still give controversial results which show similar pitch angles at wavelengths, and there is no statistical study comparing observations and numerical models directly. By analyzing optical image of disk galaxies in the Carnegie-Irvine Galaxy Survey (CGS), I measured the physical values of stellar and gaseous arms such as their strength, length, and pitch angles. For direct comparison with numerical results, I analyzed more than 30 additional numerical models with varying the initial parameters in model galaxies. In this talk, I will present results both of observational and numerical samples and discuss the physical properties of spiral structures based on the density-wave theory.

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Numerical Study on Under-Expanded Jets through a Supersonic Nozzle(II) (초음속 노즐을 통하는 부족팽창 제트에 관한 수치계산적 연구 (2))

  • Kim, Hui-Dong;Sin, Hyeong-Seung
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.6
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    • pp.1994-2004
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    • 1996
  • Numerical calculation was applied to supersonic under-expanded jets, and compared with the results of a linear theory and other experiments. TVD difference scheme was employed to solve 2-dimensional and axisymmetric inviscid Euler equation. This paper aims to explore the effects of angle of divergence and design Mach number of nozzle on the structure of under-expanded jets. The angle of divergence was varied from 0 to 20 deg. The results show that the length of the first cell of the under-expanded jets decreases and Mach disk generates at lower nozzle pressure ratio, if the angle of divergence or design Mach number of nozzle increases. The distance from the nozzle exit to Mach disk in 2-dimensional jets becomes much larger than that of axisymmetric jets, and the widths of the jet boundary and the barrel shock wave are also larger than that of axisymmetric jets. Calculation results indicate that the configuration of the under-expanded jets is strongly dependent on the nozzle pressure ratio.

Determination of Deceleration Lane Length in Interchange with Shock-Wave Theory (충격파를 고려한 입체교차로의 감속차로 길이 산정방안)

  • Kim, Jeong-Hyun
    • International Journal of Highway Engineering
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    • v.11 no.1
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    • pp.145-151
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    • 2009
  • Current highway design standards is based on the safety under the free flow condition. The length of deceleration lane is also determined in terms of the deceleration distance which is necessary for the driers to adjust the vehicle speed from the speed limit on the main road to that on the exit ramp of the interchange. However, the queues are frequently developed on the deceleration, and the following vehicles to exit must decelerate on the main road. It may cause delay on the main road and traffic accidents. This study is to suggest a methodology to minimize such problems with the shock-wave theory. The queue length of exiting vehicles can be estimated by the design speeds, traffic volumes of main road and the exiting ramp, and the countermeasures to the operational problems. According to the results, the queue length can be shortened to 80% by upgrading the design speed of exit ramp as the amount of 10km/h. Fifty percent of queue length can be shortened by adding an additional lane on the ramp to two lanes.

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Generalized coupled non-Fickian/non-Fourierian diffusion-thermoelasticity analysis subjected to shock loading using analytical method

  • Hosseini, Seyed Amin;Abolbashari, Mohammad Hossein;Hosseini, Seyed Mahmoud
    • Structural Engineering and Mechanics
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    • v.60 no.3
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    • pp.529-545
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    • 2016
  • In this article, the generalized coupled non-Fickian diffusion-thermoelasticity analysis is carried out using an analytical method. The transient behaviors of field variables, including mass concentration, temperature and displacement are studied in a strip, which is subjected to shock loading. The governing equations are derived using generalized coupled non-Fickian diffusion-thermoelasticity theory, which is based on Lord-Shulman theory of coupled thermoelasticity. The governing equations are transferred to the frequency domain using Laplace transform technique and then the field variables are obtained in analytical forms using the presented method. The field variables are eventually determined in time domain by employing the Talbot technique. The dynamic behaviors of mass concentration, temperature and displacement are studied in details. It is concluded that the presented analytical method has a high capability for simulating the wave propagation with finite speed in mass concentration field as well as for tracking thermoelastic waves. Furthermore, the obtained results are more realistic than that of others.

A Numerical Algorithm for Evaluating Progression Efficiency along Coordinated Arterials Using Shock Wave Theory (충격파이론을 응용한 간선도로 신호연동화의 효율 평가를 위한 알고리즘의 개발)

  • Kim, Young-Chan;Baek, Hyon-Su
    • Journal of Korean Society of Transportation
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    • v.17 no.2
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    • pp.83-90
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    • 1999
  • A computer algorithm is presented that evaluate the performance of coordinated signal timing plans for the signalized arterials. The procedures calculating delay and stops are based on Michalopoulos's analytical model derived from shock wave theory. The delay-offset relationship predicted from the algorithm produced consistent results with the delays venerated by TRANSYT-7F. From performance test, the delays estimated using the proposed a1gorithm are shown to be sensitive to the quality of progression as well as to traffic demand, link length, and turning flow ratio from upstream signal.

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Probabilistic Estimation of Fully Coupled Blasting Pressure (밀장전 발파압력의 확률론적 예측)

  • Park, Bong-Ki;Lee, In-Mo;Kim, Dong-Hyun;Lee, Sang-Don
    • Proceedings of the Korean Geotechical Society Conference
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    • 2004.03b
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    • pp.391-398
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    • 2004
  • The propagation mechanism of a detonation pressure with fully coupled charge is clarified and the blasting pressure propagated in rock mass is derived from the application of shock wave theory. Probabilistic distribution is obtained by using explosion tests on emulsion and rock property tests on granite in Seoul and then the probabilistic distribution of the blasting pressure is derived from their properties. The probabilistic distributions of explosive properties and rock properties show a normal distribution so that the blasting pressure propagated in rock can be also regarded as a normal distribution. Parametric analysis was performed to pinpoint the most influential parameter that affects the blasting pressure and it was found that the detonation velocity is the most sensitive parameter. Moreover, uncertainty analysis was performed to figure out the effect of each parameter uncertainty on the uncertainty of blasting pressure. Its result showed that uncertainty of natural rock properties constitutes the main portion of blasting pressure uncertainty rather than that of explosive properties.

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