• Title/Summary/Keyword: Series Expansion

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Experimentation and Modeling of R32/125/134a Flow Through Short Tube Orifices (R32/125/134a를 사용한 오리피스 팽창장치의 성능실험 및 모델링)

  • 김용찬
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.8 no.1
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    • pp.45-54
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    • 1996
  • An experimental investigation on the two-phase flow through tube orifices was performed with the refrigerant mixture of R32/125/134a(30/10/60). A series of tests were conducted to generate wide range of data at varying operation conditions with four short tubes. The tests include both single and two-phase flow conditions at the inlet of the short tube with different oil concentrations. Experimental data were presented as a function of major operating parameters and short tube diameter. Based on test results and data analysis, a semi-empirical flow model was developed to predict the mass flow rate through short tube orifices with a given set of conditions. The flow model was formed to cover both single and two-phase flow at the inlet of short tube with considering the effects of oil concentration.

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Tomographic Reconstruction of a Three-Dimensional Flow Field with Limited Interferometric Data

  • Cha, Dong-Jin
    • International Journal of Air-Conditioning and Refrigeration
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    • v.8 no.2
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    • pp.11-22
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    • 2000
  • Holographic interferometric tomography can provide reconstruction of instantaneous three-dimensional gross flow fields. The technique however confronts ill-posed reconstruction problems in practical applications. Experimental data are usually limited in projection and angular scanning when a field is captured instantaneously or under the obstruction of test models and test section enclosures. An algorithm, based on a series expansion method, has been developed to improve the reconstruction under the ill-posed conditions. A three-dimensional natural convection flow around two interacting isothermal cubes is experimentally investigated. The flow can provide a challenging reconstruction problem and lend itself to accurate numerical solution for comparison. The refractive index fields at two horizontal sections of the thermal plume with and without an opaque object are reconstructed at a limited view angle of 80$\circ$. The experimental reconstructions are then compared with those from numerical calculation and thermocouple thermometry. It confirms that the technique is applicable to reconstruction of reasonably complex, three-dimensional flow fields.

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E-Polarized Scattering by a Resistive Strip Grating (저항판 스트립 회절격자에 의한 E-분극산란)

  • 윤의중;양승인
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.30A no.4
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    • pp.20-27
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    • 1993
  • The E-polarized scattering problem by a resistive strip grating is analyzed by the method of moments in the spectral domain. For an E-polarized scattering, the induced current density is expected to blow up at both edges. Then the induced surface current density on the strip is expanded in a series of the multiplication of Ultraspherical polynomials with zeroth order and functions with appropriate edge condition. The expansion coefficients are calculated numerically in the spectral domain. When the resistivity of the strip becomes 0, the numerical results agree with those of a perfectly conducting strip srating. And the convergence of the moment-method solutions is very much improved using the basis functions proposed in this paper, compared with that of the existing exponential functions.

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Moment method analysis of the moreno directional coupler (모멘트법을 이용한 moreno 방향성 결합기 해석)

  • 박면주;전대인;안병철;남상욱
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.7
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    • pp.1842-1849
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    • 1996
  • This paper presents a full-wave, moment method analysis of a Moreno directional coupler with tow crossed-slots between two crossed rectangular waveguides. the overall structure is divided into several rectangular waveguides and cavities by the use of the equivalence principle to the complex slot regions. this enables a simple and efficient analysis involving the well-known retangular waveguide/cavity Green's functions. For a numerically efficient simulation, the roof-top basis expansion and line testing is used and an acceleration technique is applied to the series summation in the Green's functions. The numerical results are compared with the measurements to verify the correctness of the present analysis.

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Numerical analysis on the starting processes of the unsteady flow field in the Ludwieg tube with a quiet nozzle

  • Shen, Junmou;Lin, Jian;Gong, Jian;Li, Ruiqu
    • International Journal of Aerospace System Engineering
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    • v.2 no.2
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    • pp.62-66
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    • 2015
  • The starting processes of the Ludwieg tube hypersonic quiet tunnel plays very important role in the achievement of the quiet flow in the test section, which could affect the confidence coefficient of the data in the hypersonic transition experimental investigations. Thus, numerical analysis on that processes could help to understanding the running mode of the Ludwieg tube quiet tunnel and the propagation principle of the expansion wave series. To verify our computational method, the same parameter of the BAM6QT (the Boeing/AFOSR Mach-6 quiet tunnel at Purdue University) is used to compute, and it is agrees with our computational results.

A Nonlinear Navigation Filter for Biomimetic Robot (생체모방 로봇을 위한 비선형 항법 필터)

  • Seong, Sang-Man
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.3
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    • pp.175-180
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    • 2012
  • A nonlinear navigation filter for biomimetic robot using analytic approximation of mean and covariance of state variable is proposed. The approximations are performed at the time update step in the filter structure. The mean is approximated to the 3rd order of Taylor's series expansion of true mean and the covariance is approximated to the 3rd order either. The famous EKF is a nonlinear filtering method approximating the mean to 1st order and the covariance to the 3rd order. The UKF approximate them to the higher orders by numerical method. The proposed method derived a analytical approximation of them for navigation system and therefore don't need so called sigma point transformation in UKF. The simulation results show that the proposed method can be a good alternative of UKF in the systems which require less computational burden.

Solution for TE Scattering by a Periodic Strip Grating with a Dielectric Slab (유전체 판상의 주기적인 스트립 회절격자에 의한 TE 산란의 해)

  • Lee, Sang-Hoon;Cho, Young-Ki
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.11
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    • pp.20-24
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    • 1990
  • A fast convergent solution to the scattering problem of a transverse electric (TE) plan wave by a periodic strip grating with a dielectric slab is considered. The present method follows from an expansion of the equivalent surface magnetic current placed over the shorted slot according to the equivalence principle in a series of Chebyshev polynomials satisfying the appropriate edge condition. To examine the accuracy and convergence of the present method, the numerical results are calculated for the reflection and transmission coefficients and compared with other results available in the literature.

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A Study on the Probability Distribution of Hold-in Time in Spread Spectrum Communication Systems (확산 스펙트럼 통신방식에서의 동기 유지 시간의 확률 분포에 관한 연구)

  • 심용걸;이충웅
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.21 no.2
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    • pp.13-18
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    • 1984
  • The probability distribution of hold-in time and that of the time to reject false lock are investigated for the tracking procedure in spread spectrum communication systems. These are helpful in deciding dwell time and threshold level of correlatoi circuits. The probability distributions are derived by series expansion of generating function for discrete probability function and summation of the coefficients for corresponding terms. And the formulas described by general system parameters are obtained.

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A Design of Dual-Phase Instructions for a effective Logarithm and Exponent Arithmetic (효율적인 로그와 지수 연산을 위한 듀얼 페이즈 명령어 설계)

  • Kim, Chi-Yong;Lee, Kwang-Yeob
    • Journal of IKEEE
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    • v.14 no.2
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    • pp.64-68
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    • 2010
  • This paper proposes efficient log and exponent calculation methods using a dual phase instruction set without additional ALU unit for a mobile enviroment. Using the Dual Phase Instruction set, it extracts exponent and mantissa from expression of floating point and calculates 24bit single precision floating point of log approximation using the Taylor series expansion algorithm. And with dual phase instruction set, it reduces instruction excution cycles. The proposed Dual Phase architecture reduces the performance degradation and maintain smaller size.

Modal transformation tools in structural dynamics and wind engineering

  • Solari, Giovanni;Carassale, Luigi
    • Wind and Structures
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    • v.3 no.4
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    • pp.221-241
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    • 2000
  • Structural dynamics usually applies modal transformation rules aimed at de-coupling and/or minimizing the equations of motion. Proper orthogonal decomposition provides mathematical and conceptual tools to define suitable transformed spaces where a multi-variate and/or multi-dimensional random process is represented as a linear combination of one-variate and one-dimensional uncorrelated processes. Double modal transformation is the joint application of modal analysis and proper orthogonal decomposition applied to the loading process. By adopting this method the structural response is expressed as a double series expansion in which structural and loading mode contributions are superimposed. The simultaneous use of the structural modal truncation, the loading modal truncation and the cross-modal orthogonality property leads to efficient solutions that take into account only a few structural and loading modes. In addition the physical mechanisms of the dynamic response are clarified and interpreted.