• Title/Summary/Keyword: Numerical Investigation

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Experimental Approaches to Definite Integration with Numerical Integration (수치적분에 의한 정적분으로의 실험적 접근)

  • 좌창보;김철수
    • The Mathematical Education
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    • v.37 no.1
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    • pp.101-114
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    • 1998
  • In this thesis, We tried to introduce definite integration to the curriculum of high school mathematics with numerical integration, which had been introduced with quadrature method. For this purpose, We used new experimental mathematics approaches, so-called investigation and examination. In chapter II, We examined how much computers had been used in teaching mathematics. In chapter III, We presented the theoretical background of approximation integration within numerical integration. In chapter IV, We studied and compared various methods of numerical integration, and examined the relation between curvature of a curved line and numerical integration. In order to study more easily, We used some of computer programs. We hope that this thesis will be a turning point in developing new teaching methods and improving curriculum of mathematics in high school.

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A Numerical Study on Slip Factor Variations in Centrifugal Compressor Impellers (원심압축기 임펠러의 미끄럼계수 변화에 관한 수치연구)

  • Oh, Jongsik
    • The KSFM Journal of Fluid Machinery
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    • v.2 no.3 s.4
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    • pp.17-23
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    • 1999
  • In the present numerical analysis, investigation of the effect of blade loadings from design shape on the slip factor variation was studied. Both the Eckardt radial bladed impeller and the backswept impeller were analyzed. In addition, a new design of the blade profile was arbitrarily attempted to generate a center-loading pattern in the original backswept impeller. Three dimensional compressible Navier-Stokes flow analysis with the Baldwin-Lomax turbulence model was applied to get the numerical slip factor at each impeller exit plane using the mass-averaging technique. The numerical slip (actors are in good agreement with the experimental ones and the Wiesner's slip factors deviate further from the numerical and experimental ones in both backswept impellers. Deviation angles and meridional channel loadings are found in no relation with the trend of change of the slip factor. Blade-to-blade loadings in midspan location are, however, found to have a direct relationship, especially at the sections where maximum loadings we to be expected. That information can be utilized in establishing an improved expression for slip factors in the future.

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NUMERICAL ANALYSIS OF INTERACTION BETWEEN SUPERSONIC JET AND PERPENDICULAR PLATE

  • Yasunobu T;Matsuoka T;Kashimura H;Setoguchi T
    • Journal of computational fluids engineering
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    • v.10 no.1
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    • pp.39-44
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    • 2005
  • The numerical investigation of the interaction between the underexpanded supersonic jet and the perpendicular plate is carried out using the TVD numerical method. The wave structure in the flowfield and the pressure and temperature distributions on the plate surface are obtained by the numerical analysis. Especially, the influence of self-induced flow oscillation caused by the impinging jet and the characteristic of impinging jet are shown. From the result of the numerical analysis, it is concluded that the pressure and the temperature fluctuations on the plate surface strongly depends on the pressure ratio in the flowfield and the position of plate.