• Title/Summary/Keyword: Modified equation

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Evaluation of Two-Equation Turbulence Models with Surface Roughness Effect (표면 거칠기 효과를 고려한 2-방정식 난류 모델의 성능평가)

  • Yoon, Joon-Yong;Chun, Jung-Min;Kang, Seung-Kyu;Byun, Sung-Joon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.12
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    • pp.1681-1690
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    • 2003
  • The effect of roughness is a change in the velocity and turbulence distributions near the surface. Turbulence models with surface roughness effect are applied to the fully developed flow in a two-dimensional, rough wall channel. Modified wall function model, low-Reynolds number k-$\varepsilon$ model, and k-$\omega$ model are selected for comparison. In order to make a fair comparison, the calculation results are compared with the experimental data. The modified wall function model and the low-Reynolds number k-$\varepsilon$ model require further refinement, while the k-$\omega$ model of Wilcox performs remarkably well over a wide range of roughness values.

Convergence Analysis of Noise Robust Modified AP(affine projection) Algorithm

  • Kim, Hyun-Tae;Park, Jang-Sik
    • Journal of information and communication convergence engineering
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    • v.8 no.1
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    • pp.23-28
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    • 2010
  • According to increasing projection order, the AP algorithm bas noise amplification problem in large background noise. This phenomenon degrades the performances of the AP algorithm. In this paper, we analyze convergence characteristic of the AP algorithm and then suggest a noise robust modified AP algorithm for reducing this problem. The proposed algorithm normalizes the update equation to reduce noise amplification of AP algorithm, by adding the multiplication of error power and projection order to auto-covariance matrix of input signal. By computer simulation, we show the improved performance than conventional AP algorithm.

Modified Tikhonov regularization in model updating for damage identification

  • Wang, J.;Yang, Q.S.
    • Structural Engineering and Mechanics
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    • v.44 no.5
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    • pp.585-600
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    • 2012
  • This paper presents a Modified Tikhonov Regularization (MTR) method in model updating for damage identification with model errors and measurement noise influences consideration. The identification equation based on sensitivity approach from the dynamic responses is ill-conditioned and is usually solved with regularization method. When the structural system contains model errors and measurement noise, the identified results from Tikhonov Regularization (TR) method often diverge after several iterations. In the MTR method, new side conditions with limits on the identification of physical parameters allow for the presence of model errors and ensure the physical meanings of the identified parameters. Chebyshev polynomial is applied to approximate the acceleration response for moderation of measurement noise. The identified physical parameter can converge to a relative correct direction. A three-dimensional unsymmetrical frame structure with different scenarios is studied to illustrate the proposed method. Results revealed show that the proposed method has superior performance than TR Method when there are both model errors and measurement noise in the structure system.

Free vibration analysis of asymmetric shear wall-frame buildings using modified finite element-transfer matrix method

  • Bozdogan, Kanat B.
    • Structural Engineering and Mechanics
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    • v.46 no.1
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    • pp.1-17
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    • 2013
  • In this study, the modified finite element- transfer matrix methods are proposed for free vibration analysis of asymmetric structures, the bearing system of which consists of shear wall-frames. In the study, a multi-storey structure is divided into as many elements as the number of storeys and storey masses are influenced as separated at alignments of storeys. The shear walls and frames are assumed to be flexural and shear cantilever beam structures. The storey stiffness matrix is obtained by formulating the governing equation at the center of mass for the shear walls and the frames in the i.th floor. The system transfer matrix is constructed in the dimension of $6{\times}6$ by transforming the obtained stiffness matrix. Thus, the dimension, which is $12n{\times}12n$ in classical finite elements, is reduced to the dimension of $6{\times}6$. To study the suitability of the method, the results are assessed by solving two examples taken from the literature.

A modified model reference adaptive system for the speed identification of induction motors

  • Hur, Namho;Hong, Kichul;Nam, Kwanghee
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.427-431
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    • 1996
  • The MRAS proposed by Schauder [8] is modified to improve robustness to the change of load torque and/or the variation of the stator resistance. The difference between the voltage and the current model is fed into the current model via proportional and integral gains. In order to generalize the MRAS, supposing that the rotor speed is time varying, we add a compensating term to the current model. It does not alter the Popov's integral inequality condition. Also, the asymptotic stability of the modified MRAS (MMRAS) is shown with the stability proof technique as in the original paper. By the simulation works, it is verified that the MMRAS obtains improved performance than the original MRAS.

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Flow Analysis of the Modified Power-Law Non-Newtonian Fluids in the Stenotic Tubes (수정멱법칙 비뉴턴유체의 협착관내 유동장해석)

  • Sub, S.H.;Yoo, S.S.;Chang, N.I.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.6 no.3
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    • pp.227-236
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    • 1994
  • Steady flows of Newtonian and non-Newtonian fluids in the stenotic tubes with various stenotic shapes are numerically simulated. Validity of the modified power-law model as a constitutive equation for the purely viscous non-Newtonian fluid is discussed and the results of the power-law model are compared with those of the Carreau model, the Powell-Eyring model and experimental data for blood. Flow characteristics and reattachment lengths for non-Newtonian fluids in the stenotic tubes are presented extensively. Also, the analysis is extended to predict the influences of diameter ratio, stenosis spacing, number of stenosis and Reynolds number on the flow characteristics in the multiple stenotic tubes.

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A comparison of predicted VLE of LNG mixtures containing $H_2S$ by use of Cubic and Noncubic EOS ($H_2S$를 포함하는 LNG 혼합물에 대한 Cubic과 Noncubic 상태방정식의 예측 비교)

  • Choi Eunjoo;Lee Taejong
    • Journal of the Korean Institute of Gas
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    • v.4 no.4 s.12
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    • pp.1-5
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    • 2000
  • Cubic and non-cubic equations of state are used to calculate the vapor-liquid equilibrium(VLE) compositions for liquified natural gas(LNG) containing hydrogen sulfide. Modified Benedict-Web-Robin EOS is chosen as a non-cubic equation of state while Peng-Robinson, Soave-Redlich-Kwong EOS are used for a cubic EOS. Modified Benedict-Web-Robin EOS. showed better predictability than the cubic EOS used for the systems $H_2S/CH_4,\;H_2S/iC_4H_{10},\;H_2S/N_2$. specially for liquid composition.

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Numerical Computations of Turbulent Flow in a $90^{\circ}$ Curved Duct Using a Modified Extended $k-\varepsilon$ Turbulence Model (수정된 Extendel $k-\varepsilon$ 난류모델을 사용한 $90^{\circ}$곡관 내의 난류유동에 관한 수치해석적 연구)

  • 정수진;김태훈;조진호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.3
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    • pp.139-146
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    • 1996
  • An extended $k-\varepsilon$ tuebulence model modified by considering the streamline curvature effect and standard $k-\varepsilon$ turbulence model have been applied for three dimensional analysis of turbulece flow in a $90^{\circ}$ curved duct. By comparision of the results with the experimental data, the modified extended $k-\varepsilon$ model gave closer agreement with experimental data than the results from standard $k-\varepsilon$ model owing to an extra time scale of the production rate and parameter describing effects of streamline curvature included in the dissipation rate equation.

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Analysis of Hollow Optical Fiber with Graded-Index Profile (언덕형 Hollow Optical Fiber의 전계 해석)

  • Pee, Joong-Ho;Jeong, Woo-Jin;Kim, Chang-Min
    • Korean Journal of Optics and Photonics
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    • v.17 no.6
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    • pp.493-499
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    • 2006
  • Arbitrary graded-index HOF(Hollow Optical Fibers) are analyzed using the modified Airy function, and the corresponding eigenvalue equation that renders precise results is derived. For graded index HOF, the gradient of an evanescent field in hollow region could be adjusted more sharply than the conventional step-index HOF and the feasibility of more effective atom-guiding is confirmed.

Evaporation of a Water Droplet in High-Temperature Steam

  • Ban, Chang-Hwan;Kim, Yoo
    • Nuclear Engineering and Technology
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    • v.32 no.5
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    • pp.521-529
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    • 2000
  • A modified interfacial heat transfer correlation between a dispersed water droplet and ambient superheated steam is proposed and compared with available experimental data and other correlations. Modified one overcomes the inherent deficiencies of Lee and Ryley's interfacial heat transfer correlation that ignored the effects of steam superheating which can not be neglected especially in the reflood situation of a loss-of-coolant accident. Modified one is represented by (equation omitted) In the present correlation the effect of possible subcooling of a water droplet is not taken into consideration. Comparison of the above correlation with currently available measurement data for a water droplet in high temperature gas flow shows that the proposed one correlates well with the measurement data where the degree of superheating is negligible and considerable.

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