• Title/Summary/Keyword: Numerical calculation

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Point Particle Approximation for Single and Two Species Diffusion-Influenced Reactions

  • Kim, Hyojoon
    • Bulletin of the Korean Chemical Society
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    • v.34 no.5
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    • pp.1454-1456
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    • 2013
  • The fluctuations in concentrations of reactants dominate the long-time dynamics of the single (A + A ${\rightarrow}$ 0) and two species (A + B ${\rightarrow}$ 0) diffusion-influenced annihilation reactions. Although hierarchical Smoluchowski approaches can provide a systematic and flexible framework to deal with the fluctuation effects, their results are too complicated to be analytically solved. For the efficient numerical calculation of the complicated fluctuation effect terms, we show that the presented point particle approximation is not only practical but also quite accurate for most conditions in diffusion-influenced reaction systems.

Numerical Calculation of the Swirling Flow in a Centrifugal Compressor Volute (원심압축기 벌류트 내부의 스월 유동에 관한 수치해석)

  • Seong, Seon-Mo;Kang, Shin-Hyoung;Cho, Kyung-Seok;Kim, Woo-June
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2603-2608
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    • 2007
  • Flows in the centrifugal compressor volute with circular cross section are numerically investigated. The computational grid for the calculation utilized a multi-block arrangement to form a butterfly grid and flow calculations are performed using commercial CFD software, CFX-TASCflow. The centrifugal compressor of this study has axial diffuser after radial diffuser because of the shape of inlet duct and installation constraints. Due to this feature the swirling flow pattern is different from the other investigations. The flow inside volute is very complex and three dimensional with strong vortex and recirculation through volute tongue. The calculation results show circumferential variations of the swirl and through flow velocity and pressure distribution. The mechanism deciding flow structure is explained by considering the force balance in volute cross section. And static pressure recovery and total pressure loss are estimated from the calculated results and compared with Japikse model.

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POLARIZATION-MAGNETIC FIELD CALIBRATION CURVE (편광-자기장 눈금조정 곡선)

  • Kim, Kap-Sung
    • Publications of The Korean Astronomical Society
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    • v.12 no.1
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    • pp.1-21
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    • 1997
  • We have obtained theoretical calibration curves to convert the amount of polarization into the strength of magnetic field, by a numerical calculation of radiation transfer for the polarized spectral line of FeI $6303{\AA}$. In our calculation, three kinds of atmospheric models (VAL-C, penumbra, umbra) have been used to make a proper calibration for an active region composed of quiet, penumbral and umbral areas. It was found that firstly, the results of our calculation depend highly on a kind of atmospheric model rather than on any other input parameters used in a model. Secondly, observed line profile showed m solar spectrum atlas proved to be very similar to the calculated profiles obtained by using a penumbra model. Finally, another method except this calibration curve should be developed to estimate correctly the distribution of magnetic field in solar active region from the observation of polarized spectral line.

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Calculation Scheme of Interference between Low Earth Orbit Satellite System and Terrestrial System (저궤도 위성시스템과 지상시스템의 간섭 계산 기법)

  • Gam, Hye-Mi;Oh, Dae-Sub;Ahn, Do-Seob
    • Journal of Satellite, Information and Communications
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    • v.4 no.2
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    • pp.46-51
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    • 2009
  • This paper addresses the calculation method of the interference produced between the LEO(Low Earth Orbit) satellite constellation and Terrestrial system operating in the same frequency and area. We describes the procedure used in the numerical computation of the statistics of the total interference produced by interference system. The presented results are applied for mutual protection of LEO satellite constellation and FS system during system design phase.

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Calculation of the Molecular Quadrupole Moments (I). Calculation for the Quadrupole Moment Matrix Elements by Operator Technique (분자의 사중극자모멘트의 계산 (제1보). 연산자법에 의한 사중극자모멘트행렬요소의 계산)

  • Sangwoon Ahn;Jeong Soo Ko
    • Journal of the Korean Chemical Society
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    • v.23 no.5
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    • pp.296-306
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    • 1979
  • Operator technique has been applied for calculation of the quadrupole moment matrix-elements. Master formulas for the quadrupole moment matrix elements for pairs of Slater type, orbitals are derived, one using the expansion method for spherical harmonics and the other the transformed of the quadrupole moment matrix elements into overlap integrals for Mulliken. The numerical values of the quadrupole moment matrix elements evaluated by two methods are in agreement with each other and the calculated quadrupole moment for the ground state of HCl molecule is also in agreement with that of Nesbet.

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A Study on the Safe Maneuvering Technology Based on the Thermal Calculation of Membrane Type LNG Carrier (멤브레인형 LNGC의 열계산에 기초한 안전운항기술에 관한 연구)

  • Jin, Chang-Fu;Kim, Kyung-Kuen;Oh, Cheol
    • Journal of Advanced Marine Engineering and Technology
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    • v.32 no.8
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    • pp.1192-1200
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    • 2008
  • This paper is concerned with the thermal design of the $138,000m^3$ class membrane type LNGC. To predict the temperature distribution, BOG and BOR, 3-dimensional numerical calculation was carried-out for the quarter of No.3 LNG tank. These sequence analyses were performed under the standard conditions of IMO ship design condition, USCG ship design condition and the Korean flag LNGC's route condition according to the 6-voyage modes. As the results, temperature behavior, heat flux, total penetrating heat, BOG and BOR were obtained, and those were compared with the maneuvering results considering the real temperature variation of air and sea water temperature at noon time. For securing the safety of LNGC during the ballast voyage, optimum control patterns of pressure and temperature in LNG tank is suggested in this paper.

Improvement of algorithm for the calculation of gas flowin intake and exhaust system on diesel engines (내연기관의 흡.배기계내 가스유동해석용 알고리즘의 고정도화)

  • K.Kanamaru
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.1
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    • pp.107-114
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    • 2001
  • Many simulation programs included intake and exhaust system on diesel engines have been developed. However, existing programs using 1-D numerical analytic methods in manifold gas flow by the method of characteristics have some problems to be solved.. Especially to optimzing the engine system, a simulation program which had more efficiency and accuracy is required newly. In this paper, a improved method for application limit and efficiency as well as mass conservation named constant mesh explicit method of characteristic was described. And some calculation results by this method were compared with experimental results and orther calculation results. Also, it was confirmed that the results by the proposed method were more agreed with experimental results.

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Scattering Model for Electrical-Large Target Employing MLFMA and Radar Imaging Formation

  • Wu, Xia;Jin, Yaqiu
    • Journal of electromagnetic engineering and science
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    • v.10 no.3
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    • pp.166-170
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    • 2010
  • To numerically calculate electromagnetic scattering from the electrical-large three-dimensional(3D) objects, the high-frequency approaches have been usually applied, but the accuracy and feasibility of these geometrical and physical optics(GO-PO) approaches, to some extent, are remained to be improved. In this paper, a new framework is developed for calculation of the near-field scattering field of an electrical-large 3D target by using a multilevel fast multipole algorithm(MLFMA) and generation of radar images by using a fast back-projection(FBP) algorithm. The MPI(Message Passing Interface) parallel computing is carried out to multiply the calculation efficiency greatly. Finally, a simple example of perfectly electrical conducting(PEC) patch and a canonical case of Fighting Falcon F-16 are presented.

Deformation Analysis of Injection Molded Articles due to In-mold Residual Stress and Cooling after Ejection (사출 성형품의 금형내 잔류응력과 이형후 냉각에 의한 후변형 해석)

  • Yang, Sang-Sik;Kwon, Tai-Hun
    • Proceedings of the KSME Conference
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    • 2001.06c
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    • pp.251-256
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    • 2001
  • Deformation analysis of injection molded articles whose geometry is considered as the assembly of the thin flat plates has been conducted. For the in-mold analysis, thermo-viscoelastic stress calculation of rheologically simple amorphous polymer and in-mold deformation calculation considering the in-plane mold constraint has been done. Free volume theory has been used for the non-equilibrium density state by the fast cooling. At ejection, the redistribution of stress together with instantaneous deformation has been considered. During out-of-mold cooling after ejection, thermoelastic model based on the effective temperature has been adopted for the calculation of deformation. Two typical mold geometries are used to test the numerical simulation.

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Hydrogen Supplying System using Metal Hydride (금속 수소화물을 이용한 수소공급시스템)

  • Bae, Sang-Chul;Katsuta, Masafumi
    • 한국신재생에너지학회:학술대회논문집
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    • 2007.06a
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    • pp.13-19
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    • 2007
  • To find out the optimum design of hydrogen storage and supply tank using Metal Hydride (briefly MH) and to make clear the performance characteristics under various conditions are our research purpose. In order to use the low-temperature exhaust heat, $LaNi_{4.7}Al_{0.3}$ which operates under the low pressure of 1 MPa is chosen, and we measure the basic properties, namely density, specific heat, PCT(Pressure-Concentration-Temperature) characteristics, and effective thermal conductivity. Then, a numerical calculation model of hydrogen storage using MH alloy is suggested and this thermal diffusion equation of model is solved by the backward difference method. This calculation results are compared with the experimental results of the systems which installed 1kg MH alloy and, it is found out that our calculation model can well predict the experimental results. By the experimental using MH alloy, it is recognized that the hydrogen flow rate can control by the step adjustment of brine temperature.

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