• Title/Summary/Keyword: annulus criteria

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ANNULUS CRITERIA FOR OSCILLATION OF SECOND ORDER DAMPED ELLIPTIC EQUATIONS

  • Xu, Zhiting
    • Journal of the Korean Mathematical Society
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    • v.47 no.6
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    • pp.1183-1196
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    • 2010
  • Some annulus oscillation criteria are established for the second order damped elliptic differential equation $$\sum\limits_{i,j=1}^N D_i[a_{ij}(x)D_jy]+\sum\limits_{i=1}^Nb_i(x)D_iy+C(x,y)=0$$ under quite general assumption that they are based on the information only on a sequence of annuluses of $\Omega(r_0)$ rather than on the whole exterior domain $\Omega(r_0)$. Our results are extensions of those due to Kong for ordinary differential equations. In particular, the results obtained here can be applied to the extreme case such as ${\int}_{\Omega(r0)}c(x)dx=-\infty$.

First Annulus Formation and Age Determination for Otoliths of Chub Mackerel Scomber japonicus (고등어(Scomber japonicus) 이석의 초륜 형성 및 연령 사정)

  • Kang, Sukyung;Jung, Kyung-Mi;Cha, Hyung Kee
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.48 no.5
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    • pp.760-767
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    • 2015
  • First annulus formation and age determination of otoliths were examined for chub mackerel Scomber japonicus collected in Korean waters over the one year from January to December in 2009. Translucent zone was regarded as an annual mark. Age interpretation criteria was based on the data of the number of translucent zone, capture date, and edge type of the otolith, assuming the nominal birthday to be 1 January. Monthly changes in mean marginal index indicated that translucent zone was formed once a year, mainly in June. The otolith of 0-ring group was detected comparing the progression by month of the smaller fish length, appearing to be a single first opaque zone. The average distance from the core to the first translucent zone was ~1.77 mm, provided as supplementary information to increase ageing accuracy. The ageing criteria for chub mackerel was made to determine correct year-class with the purpose of effective stock assessment. This method using nominal birthdate and edge type analysis could estimate age of fish closer to the true age than purely counting the number of translucent zone on a whole otolith.

Identification of Internal Flow Pattern in Effervescent Atomizers (기체주입노즐의 내부유동양식의 구분)

  • Kim, Joo-Youn;Lee, Sang-Yong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.2
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    • pp.306-315
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    • 2000
  • An experimental study was conducted to examine the internal flow patterns inside the mixing chamber of effervescent atomizers. The mixing chamber has the rectangular cross section ($8mm{\times}2mm$) and made of transparent acrylic plate for flow visualization. The parameters tested were the air/liquid ratio (ALR), injection. pressure, and the nozzle orifice diameter. Three different flow regimes were observed; bubbly, annular, and intermittent flows. In the bubbly flow regime, the discharged mixture was disintegrated into drops through the bubble expansion and the ligament breakup. On the other hand, in the annular flow regime, the liquid annulus was disintegrated into small drops by the aerodynamic interaction between the phases due to the high relative velocities between the gas and the liquid. In the intermittent flow regime, the bubble-expansion/ligament-disintegration mode and the annulus-disintegration mode appeared alternatively. The correlations representing the transition criteria between the two-phase flow patterns within the mixing chamber were proposed based on the drift-flux models.

Mitral Annuloplasty Using Carpentier Ring: Report of 5 Cases (Carpentier Ring 을 이용한 승모판윤 성형술 [5례 보고])

  • Chang, Bung-Chul;Jo, Seung-Yeon;Cho, Bum-Koo
    • Journal of Chest Surgery
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    • v.14 no.1
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    • pp.33-39
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    • 1981
  • In the presence of severe non-calcific mitral regurgitation, a dilated mitral annulus, absence of severe subvalvular chordal thickening, and no major loss of leaflet substance, reconstructive surgery for mitral regurgitation is a reasonable approach. Between March, 1980 to November, 1980, 5 patients underwent mitral annuloplasty using Carpentier Ring for severe mitral regurgitation. All 5 cases were of rheumatic in origin. There were no ruptured chorda tendinae or ruptured papillary muscles except slight thickening of the leaflet. There was no operative or late death. As is Carpentier`s report, in patient with severe mitral regurgitation who meet above criteria, mitral annuloplasty using Carpentier Ring is preferable to valve replacement.

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An Experimental study on swirl flow and combustion characteristics of 3 staged low NOx burner applied with FGR and FIR (FGR 및 FIR을 적용한 3단 저 NOx 버너의 Swirl유동 및 연소특성에 관한 실험적 연구)

  • Shin, Myung-Chul;Kim, Se-Won;Cha, Hak-Ju
    • 한국연소학회:학술대회논문집
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    • 2002.11a
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    • pp.105-112
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    • 2002
  • The objective of this research is to determine generally applicable design principles for the development of internally staged combustion devices. Utilizing a triple annulus combustor, air staged commercial propane flame configuration are studied. For this triple air staged combustor, the angular momentum weighted by it's swirl number and air distribution ratio was observed to be the critical criteria. An internal recirculation zone which develops on the centerline of the flame immediately downstream of the burner entraps the fuel into a fuel rich eddy. Then sufficient heat must he transferred from the flame via radiation to the chamber heat transfer surfaces, such that when the second air is introduced, peak flame temperatures are suppressed. It is experimentally found out that the total NOx emission level in this type of burner is lower than 0.75g/kg.

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Flaw Assessment Method of Pressure Tube in CANDU Reactor

  • Kim, Jung-Gyu;Na, Bok-Gyun;Hwang, Jong-Keun;Park, Keon-Woo
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05a
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    • pp.291-295
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    • 1996
  • In CANDU reactor, each pressure tubes contain twelve fuel bundles and provide the inlet and outlet for the primary coolant. If a leak develops in the pressure tube, it is detected by Annulus Gas System which contains circulating dry $CO_2$ gas. Since the leaks caused by the flaws are resulted in pressure tube break, establishment of flaw assessment method is very significant in view of the fracture mechanics. In this paper, various criteria for assessing the flaws are presented to prevent the tube rupture and ensure the integrity of reactor operating.

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A Study on Swirl Flow and Combustion Characteristics of Air Staged Low NOx Burner (다단 공기 공급 저 NOx 버너의 선회유동 및 연소특성에 관한 실험적 연구 - 다단공기공급에 의한 연소특성(I) -)

  • Shin, Myung-Chul;Ahn, Je-Hyun;Kim, Se-Won
    • Journal of the Korean Society of Combustion
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    • v.8 no.1
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    • pp.25-35
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    • 2003
  • The objective of this research is to determine generally applicable design principles for the development of internally staged combustion devices. Utilizing a triple annulus combustor, the detailed combustion characteristics are studied. For this triple air staged combustor, the angular momentum weighted by it#s swirl number and air distribution ratio was observed to be the critical criteria of NOx emission. An internal recirculation zone which develops on the centerline of the flame immediately downstream of the burner entraps the fuel into a fuel rich eddy. Then sufficient heat must be transferred from the flame via radiation to the chamber heat transfer surfaces, such that the peak flame temperatures are suppressed when the second air is introduced. It is experimentally found out that the total NOx emission level in this type of burner is below 50ppm(3% Ref. O2) at optimum operating conditions.

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An improved radius-incremental-approach of stress and displacement for strain-softening surrounding rock considering hydraulic-mechanical coupling

  • Zou, Jin-Feng;Wei, Xing-Xing
    • Geomechanics and Engineering
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    • v.16 no.1
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    • pp.59-69
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    • 2018
  • This study focused on the mechanical and hydraulic characteristics of underwater tunnels based on Mohr-Coulomb (M-C), Hoek-Brown (H-B) and generalized H-B failure criteria. An improved approach for calculating stress, displacement and plastic radius of the circular tunnel considering hydraulic-mechanical coupling was developed. The innovation of this study was that the radius-incremental-approach was reconstructed (i.e., the whole plastic zone is divided into a finite number of concentric annuli by radius), stress and displacement of each annulus were determined in terms of numerical method and Terzaghi's effective stress principle. The validation of the proposed approach was conducted by comparing with the results in Brown and Bray (1982) and Park and Kim (2006). In addition, the Rp-pin curve (plastic radius-internal supporting pressure curve) was obtained using the numerical iterative method, and the plastic radius of the deep-buried tunnel could be obtained by interpolation method in terms of the known value of internal supporting pressure pin. Combining with the theories in Carranza and Fairhurst (2000), the improved technique for assessing the reliability of the tunnel support was proposed.

Cementing failure of the casing-cement-rock interfaces during hydraulic fracturing

  • Zhu, Hai Y.;Deng, Jin G.;Zhao, Jun;Zhao, Hu;Liu, Hai L.;Wang, Teng
    • Computers and Concrete
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    • v.14 no.1
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    • pp.91-107
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    • 2014
  • Using the principle of damage mechanics, zero-thickness pore pressure cohesive elements (PPCE) are used to simulate the casing-cement interface (CCI) and cement-rock interface (CRI). The traction-separation law describes the emergence and propagation of the PPCE. Mohr-coulomb criteria determines the elastic and plastic condition of cement sheath and rock. The finite element model (FEM) of delamination fractures emergence and propagation along the casing-cement-rock (CCR) interfaces during hydraulic fracturing is established, and the emergence and propagation of fractures along the wellbore axial and circumferential direction are simulated. Regadless of the perforation angle (the angle between the perforation and the max. horizontal principle stress), mirco-annulus will be produced alonge the wellbore circumferential direction when the cementation strength of the CCI and the CRI is less than the rock tensile strength; the delamination fractures are hard to propagate along the horizontal wellbore axial direction; emergence and propagation of delamination fractures are most likely produced on the shallow formation when the in-situ stresses are lower; the failure mode of cement sheath in the deep well is mainly interfaces seperation and body damange caused by cement expansion and contraction, or pressure testing and well shut-in operations.

Giant Coronary and Axillary Aneurysms in an Infant with Kawasaki Disease Associated with Thrombocytopenia (혈소판 감소증이 지속된 영아 가와사끼병 환아에서 발생한 거대관상동맥류와 액와동맥류)

  • Seo, Sei Young;Oh, Jin Hee;Kim, Jong-Hyun;Han, Ji-Whan;Lee, Kyung-Yil;Koh, Dae Kyun
    • Clinical and Experimental Pediatrics
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    • v.48 no.8
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    • pp.901-906
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    • 2005
  • Kawasaki disease (KD) is a leading cause of acquired heart disease in children. Yet the etiology of KD is still unknown and diagnosis depends on the exclusion of other diseases and the clinical manifestations meeting the defined criteria. Young infants frequently show atypical clinical courses and are frequently complicated with coronary aneurysms. Some cases show thrombocytopenia, which is known as one of the risk factors for complications with coronary aneurysms. So, a high index of suspicion is the most important factor for the diagnosis of KD in very young infants or adolescents whose clinical courses are equivocal. We report herein on a case of KD in an 80-day-old female infant with fever and seizure with bloody stool; laboratory findings were those of sepsis with disseminated intravascular coagulopathy. In spite of aggressive treatments, fever and thrombocytopenia persisted for two weeks and huge coronary aneurysms developed at the third week in all three major coronary arteries; the diameter of the right one was as large as the aortic annulus. Three months later, huge pulsatile masses developed in both axillas; these were found to be huge axillary aneurysms defined very clearly on multi-detector CT scan. She has been under follow up with antiplatelets and anticoagulation therapy with poor regression of the aneurysms.