• Title/Summary/Keyword: Shock Wave Theory

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NUMERICAL SIMULATION OF HIGH-SPEED FLOWS WITH SHOCK WAVE TURBULENT BOUNDARY LAYER INTERACTIONS (충격파와 난류경계층의 상호작용에 대한 수치해석)

  • Moon S. Y.;Sohn C. H.
    • 한국전산유체공학회:학술대회논문집
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    • 2000.05a
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    • pp.51-59
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    • 2000
  • The Interactions of shock wave with turbulent boundary layers in high-speed flows cause complex flowfields which result in increased adverse pressure gradients, skin friction and temperature. Accurate and reliable prediction of such phenomena is needed in designing high-speed propulsion systems. Such analyses of the complex flowfields require sophisticated numerical scheme that can resolve interactions between shock wave and boundary layers accurately. Therefore the purpose of the present. article is to introduce an accurate and efficient mixed explicit-implicit generalized Galerkin finite element method. To demonstrate the validity of the theory and numerical procedure, several benchmark cases are investigated.

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Design of Smart flap actuators for swept shock wave/turbulent boundary layer interaction control

  • Couldrick, Jonathan;Shankar, Krishnakumar;Gai, Sudhir;Milthorpe, John
    • Structural Engineering and Mechanics
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    • v.16 no.5
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    • pp.519-531
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    • 2003
  • Piezoelectric actuators have long been recognised for use in aerospace structures for control of structural shape. This paper looks at active control of the swept shock wave/turbulent boundary layer interaction using smart flap actuators. The actuators are manufactured by bonding piezoelectric material to an inert substrate to control the bleed/suction rate through a plenum chamber. The cavity provides communication of signals across the shock, allowing rapid thickening of the boundary layer approaching the shock, which splits into a series of weaker shocks forming a lambda shock foot, reducing wave drag. Active control allows optimum control of the interaction, as it would be capable of positioning the control region around the original shock position and unimorph tip deflection, hence mass transfer rates. The actuators are modelled using classical composite material mechanics theory, as well as a finite element-modelling program (ANSYS 5.7).

Theoretical study on compression wave propagating in a sudden reduction duct (급축소관을 전파하는 압축파에 관한 이론적 연구)

  • Kim, Hui-Dong;Kim, Tae-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.1
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    • pp.89-98
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    • 1997
  • Compression waves propagating in a high speed railway tunnel impose large pressure fluctuations on the train body or tunnel structures. The pressure fluctuations can cause ear discomfort for the passengers and increase the aerodynamic resistance of trains. As a fundamental research to resolve the pressure wave phenomenon in the tunnel, a steady theory of Chester-Chisnell- Whitham was applied to a simple shock tube with a sudden cross-sectional area reduction to model trains inside the tunnel. The results of the present theoretical analysis were compared with the experiments of the shock tube. The results show that the reflected compression wave from the model becomes stronger as the strength of incident compression wave and the blockage ratio increase. However, the compression wave passing through the model is not strongly dependent on the blockage ratio. The theoretical results are in good agreement with the experiments.

The Calculation of Hugoniot Adiabatics and Viscosity of Shock Compressed Water

  • Baik, Dae-Hyun;Jhon, Mu-Shik;Yoon, Byoung-Jip
    • Bulletin of the Korean Chemical Society
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    • v.7 no.4
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    • pp.293-296
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    • 1986
  • The Hugoniot adiabatics and viscosity of shock compressed water have been calculated by applying the significant structure theory of water. To consider the effects of pressure and temperature, the sublimation energy has been expressed by the spherically averaged Stillinger-Rahman ST2 potential. Good agreements between theory and experiment are obtained in the whole extreme ranges of shock wave condition up to 100 GPa (lMbar).

Integrated Structural Dynamic Response Analysis considering the UNDEX Shock Wave and Gas Bubble Pulse (수중폭발 충격파와 가스구체 압력파를 함께 고려한 구조물의 동적응답해석)

  • Lee, Sang-Gab;Hwon, Jeong-Il;Chung, Jung-Hoon
    • Journal of the Society of Naval Architects of Korea
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    • v.44 no.2 s.152
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    • pp.148-153
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    • 2007
  • Two typical impact loadings, shock wave and gas bubble pulse, due to UNDEX(UNDerwater EXplosion), should be considered together for the closest response analysis of structure subjected to UNDEX to a reality. Since these two impact loadings have different response time bands, however, their response characteristics of structure are different from each other. It is impossible to consider these effectively under the current computational environment and the mathematical model has not yet been developed. Whereas Hicks model approximates the fluid-structure interaction due to gas bubble pulse as virtual mass effect, treating the flow by the response of gas bubble after shock wave as incompressible ideal fluid contrary to the compressible flow due to shock wave, Geers-Hunter model could make the closest response analysis of structure under UNDEX to a real one as a mathematical model considering the fluid-structure interaction due to shock wave and gas bubble pulse together using acoustic wave theory and DAA(Doubly Asymptotic Approximation). In this study, the application and effectiveness of integrated dynamic response analysis of submerged structure was examined with the analysis of the shock wave and gas bubble pulse together.

Implications and numerical application of the asymptotical shock wave model (점진적 충격파모형의 함축적 의미와 검산)

  • Cho, Seong-Kil
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.11 no.4
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    • pp.51-62
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    • 2012
  • According to the Lighthill and Whitham's shock wave model, a shock wave exists even in a homogeneous speed condition. They referred this wave as unobservable- analogous to a radio wave that cannot be seen. Recent research has attempted to identify how such a counterintuitive conclusion results from the Lighthill and Whitham's shock wave model, and derive a new asymptotical shock wave model. The asymptotical model showed that the shock wave in a homogenous speed traffic stream is identical to the ambient vehicle speed. Thus, no radio wave-like shock wave exists. However, performance tests of the asymptotical model using numerical values have not yet been performed. We investigated the new asymptotical model by examining the implications of the new model, and tested it using numerical values based on a test scenario. Our investigation showed that the only difference between both models is in the third term of the equations, and that this difference has a crucial role in the model output. Incorporation of model parameter${\alpha}$ is another distinctive feature of the asymptotical model. This parameter makes the asymptotical model more flexible. In addition, due to various choices of ${\alpha}$ values, model calibration to accommodate various traffic flow situations is achievable. In Lighthill and Whitham's model, this is not possible. Our numerical test results showed that the new model yields significantly different outputs: the predicted shock wave speeds of the asymptotical model tend to lean toward the downstream direction in most cases compared to the shock wave speeds of Lighthill and Whitham's model for the same test environment. Statistical tests of significance also indicate that the outputs of the new model are significantly different than the corresponding outputs of Lighthill and Whitham's model.

Extracorporeal Shock Wave Therapy with Meridian and Acupoint Theory for Knee Osteoarthritis: Systematic Review (경혈경락이론에 근거한 체외충격파 치료가 무릎 관절염에 미치는 영향: 체계적 문헌 고찰)

  • Kim, Byung-Jun;Lee, Sang-Hyun;Kim, Hyun-Tae;Park, Hye-Jin;Park, Sun-Young;Heo, In;Hwang, Man-Suk;Shin, Byung-Cheul;Hwang, Eui-Hyoung
    • Journal of Korean Medicine Rehabilitation
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    • v.31 no.2
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    • pp.41-48
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    • 2021
  • Objectives To determine the evidence of effectiveness and safety of extracorporeal shock wave therapy (ESWT) with meridian and acupoint theory for knee osteoarthritis. Methods By March 3, 2021, five foreign electronic databases and six Korean medical electronic databases were reviewed with the key words 'extracorporeal shock wave' and '(acupoint OR acupuncture point)'. This key words was set up to increase the sensitivity of the search. After the search, knee osteoarthritis study was selected based on the title and abstract and then included after full-texts were read. Results Five randomized controlled trials were eligible in our inclusion criteria. The meta-analysis of three studies showed positive results for the using ESWT with meridian and acupoint theory for knee osteoarthritis compared with the control group on efficancy rate, visual analog scale and lysholm knee score. but there remains a conundrum regarding the safety of ESWT in the treatment of knee osteoarthritis. Conclusions Most of studies showed ESWT with meridian and acupoint theory were statistically effective to knee osteoarthritis. However there are limitations that the number of selected studies was small, risk of bias was unclear. So use of ESWT with meridian and acupoint theory for knee arthritis has limited evidence compared to usual care.

Extracorporeal Shock Wave Therapy with Meridian and Acupoint Theory for Adhesive Capsulitis: A Systematic Review and Meta-analysis of Randomized Controlled Trials (경혈경락 이론에 근거한 체외충격파 치료가 유착성 관절낭염에 미치는 영향: 무작위 대조 임상연구에 대한 체계적 문헌고찰과 메타분석)

  • Han, Donghun;Park, In-hwa;Heo, In
    • Journal of Korean Medicine Rehabilitation
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    • v.32 no.2
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    • pp.55-63
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    • 2022
  • Objectives This review was conducted to evaluate effectiveness and safety of extracorporeal shock wave therapy (ESWT) with meridian and acupoint theory for adhesive capsulitis. Methods By December 2021, 11 electronic databases were reviewed with the key words 'extracorporeal shock wave' and '(acupuncture OR acupoint OR meridian)'. This key words was set up to increase the sensitivity of the search. After the search, adhesive capsulitis study was selected based on the title and abstract and then included after full-texts were read. Results Five randomized controlled trials were eligible in our inclusion criteria. The meta-analysis of 3 studies showed positive results for the using ESWT with meridian and acupoint theory for adhesive capsulitis compared with the control group on efficancy rate and range of shoulder flexion. Conclusions Some studies showed ESWT with meridian and acupoint theory were statistically effective to adhesive capsulitis. But the evidence is limited due to the defective design of the included randomized controlled trials (RCTs). So use of ESWT with meridian and acupoint theory for adhesive capsulitis has limited evidence. More well-designed RCTs are required to provide clearer evidence for this claim.

Analysis of Unstable Shock-Induced Combustion over Wedges and Conical Bodies (쐐기 및 원추 주위의 불안정한 충격파 유도연소 해석)

  • Jeong-Yeol Choi
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2003.05a
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    • pp.32-33
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    • 2003
  • Mechanism of a periodic oscillation of shock-induced combustion over a two- dimensional wedges and axi-symmetric cones were investigated through a series of numerical simulations at off-attaching condition of oblique detonation waves(ODW). A same computational domain over 40 degree half-angle was considered for two-dimensional and axi-symmetric shock-induced combustion phenomena. For two-dimensional shock-induced combustion, a 2H2+02+17N2 mixture was considered at Mach number was 5.85with initial temperature 292 K and initial pressureof 12 KPa. The Rankine-Hugoniot relation has solution of attached waves at this condition. For axi-symmetric shock-induced combustion, a H2+2O2+2Ar mixture was considered at Mach number was 5.0 with initial temperature 288 K and initial pressure of 200 mmHg. The flow conditions were based on the conditions of similar experiments and numerical studies.[1, 3]Numerical simulation was carried out with a compressible fluid dynamics code with a detailed hydrogen-oxygen combustion mechanism.[4, 5] A series of calculations were carried out by changing the fluid dynamic time scale. The length wedge is varied as a simplest way of changing the fluid dynamic time scale. Result reveals that there is a chemical kinetic limit of the detached overdriven detonation wave, in addition to the theoretical limit predicted by Rankine-Hugoniot theory with equilibrium chemistry. At the off-attaching condition of ODW the shock and reaction waves still attach at a wedge as a periodically oscillating oblique shock-induced combustion, if the Rankine-Hugoniot limit of detachment isbut the chemical kinetic limit is not.Mechanism of the periodic oscillation is considered as interactions between shock and reaction waves coupled with chemical kinetic effects. There were various regimes of the periodicmotion depending on the fluid dynamic time scales. The difference between the two-dimensional and axi-symmetric simulations were distinct because the flow path is parallel and uniform behind the oblique shock waves, but is not behind the conical shock waves. The shock-induced combustion behind the conical shockwaves showed much more violent and irregular characteristics.From the investigation of characteristic chemical time, condition of the periodic instability is identified as follows; at the detaching condition of Rankine-Hugoniot theory, (1) flow residence time is smaller than the chemical characteristic time, behind the detached shock wave with heat addition, (2) flow residence time should be greater than the chemical characteristic time, behind an oblique shock wave without heat addition.

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Asymptotical Shock Wave Model for Acceleration Flow

  • Cho, Seongkil
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.12 no.3
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    • pp.103-113
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    • 2013
  • Shock wave model describes the propagation speed of kinematic waves in traffic flow. It was first presented by Lighthill and Whitham and has been deployed to solve many traffic problems. A recent paper pointed out that there are some traffic situations in which shock waves are not observable in the field, whereas the model predicts the existence of waves. The paper attempted to identify how such a counterintuitive conclusion results from the L-W model, and resolved the problem by deriving a new asymptotical shock wave model. Although the asymptotical model successfully eliminated the paradox of the L-W model, the validation of the new model is confined within the realm of the deceleration flow situation since the model was derived under such constraint. The purpose of this paper is to derive the remaining counter asymptotical shock wave model for acceleration traffic flow. For this, the vehicle trajectories in a time-space diagram modified to accommodate the continuously increased speed at every instant in such a way that the relationship between the spacing from the preceding vehicle and the speed of the following vehicle strictly follows Greenshield's model. To verify the validity of the suggested model, it was initially implemented to a constant flow where no shock wave exists, and the results showed that there exists no imaginary shock wave in a homogeneous flow. Numerical applications of the new model showed that the shock wave speeds of the asymptotical model for the acceleration flow tend to lean far toward the forward direction consistently. This means that the asymptotical models performs in a systematically different way for acceleration and for declaration flows. Since the output difference among the models is so distinct and systematic, further study on identifying which model is more applicable to an empirical site is recommended.