• Title/Summary/Keyword: Nonlinear flow

Search Result 921, Processing Time 0.028 seconds

Fuzzy-Enforced Complementarity Constraints in Nonlinear Interior Point Method-Based Optimization

  • Song, Hwachang
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.13 no.3
    • /
    • pp.171-177
    • /
    • 2013
  • This paper presents a fuzzy set method to enforce complementarity constraints (CCs) in a nonlinear interior point method (NIPM)-based optimization. NIPM is a Newton-type approach to nonlinear programming problems, but it adopts log-barrier functions to deal with the obstacle of managing inequality constraints. The fuzzy-enforcement method has been implemented for CCs, which can be incorporated in optimization problems for real-world applications. In this paper, numerical simulations that apply this method to power system optimal power flow problems are included.

Speed Control of PIG Flow in Natural Gas Pipeline (천연가스배관 내 피그흐름의 속도제어)

  • Nguyen, Tan Tien;Kim, Dong-Kyu;Rho, Yong-Woo;Kim, Sang-Bong
    • Proceedings of the KSME Conference
    • /
    • 2001.06b
    • /
    • pp.253-258
    • /
    • 2001
  • This paper introduces a simple nonlinear adaptive control method for pipeline inspection gauge (PIG) flow in natural gas pipeline. The dynamic behavior of the PIG depends on the different pressure across its body and the bypass flow through it. The system dynamics includes: dynamics of driving gas flow behind the PIG, dynamics of expelled gas in front of the PIG, and dynamics of the PIG. The method of characteristics (MOC) and Runger-Kuta method are used to solve the dynamics of flow. The PIG velocity is controlled through the amount of bypass flow across its body. A simple nonlinear adaptive controller based on the backstepping method is introduced. To derive the controller, three system parameters should be measured: the PIG position, its velocity and the velocity of bypass flow across the PIG body. The simulation has been done with a pipeline segment in the KOGAS low pressure system, Ueijungboo-Sangye line to verify the effectiveness of the proposed controller. Three cases of interest are considered: the PIG starts to move at its launcher, the PIG arrives at its receiver and the PIG restarts after stopping in the pipeline by obstruction. The simulation results show that the proposed nonlinear adaptive controller attained good performance and can be used for controlling the PIG velocity.

  • PDF

Flow Pattern Identification of Vertical Upward Two-Phase Flow Using the Attractor-Density-Map Analysis of the Void Fraction Signal in the Nonlinear Phase Space (비선형 위상공간에서의 기포 분율 신호의 끌개밀도분식을 이용한 수직 상향 이상유동의 유동패턴분류)

  • Kim, Nam-Seok;Lee, Jae-Young
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.28 no.11
    • /
    • pp.1398-1406
    • /
    • 2004
  • The nonlinear signals from an impedance meter for the area average void fraction in two-phase flow have been analyzed to construct a phase space trajectory. The pseudo phase space was constructed with the time delay and proper dimensions. The time delay and the embedding dimension were chosen by the average mutual information and by the false nearest neighborhood, respectively. The attractor-density-map of projected states was used to produce the two dimensional probability distribution functions (2D-PDF). Since the developed 2D-PDF showed clear distinction of the flow patterns, the flow regime identification was made with three rules and with the 2D-PDF. Also, the transition criteria of Mishima-Ishii agree well with the present results.

Rotor High-Speed Noise Prediction with a Combined CFD-Kirchhoff Method (CFD와 Kirchhoff 방법의 결합을 이용한 로터의 고속 충격소음 해석)

  • 이수갑;윤태석
    • Journal of KSNVE
    • /
    • v.6 no.5
    • /
    • pp.607-616
    • /
    • 1996
  • A combined computational fluid dynamics(CFD)-Kirchhoff method is presented for predicting high-speed impulsive noise generated by a hovering blade. Two types of Kirchhoff integral formula are used; one for the classical linear Kirchhoff formulation and the other for the nonlinear Kirchhoff formulation. An Euler finite difference solver is solved first to obtain the flow field close to the blade, and then this flow field is used as an input to a Kirchhoff formulation to predict the acoustic far-field. These formulas are used at Mach numbers of 0.90 and 0.95 to investigate the effectiveness of the linear and nonlinear Kirchhoff formulas for delocalized flow. During these calculiations, the retarded time equation is also carefully examined, in particular, for the cases of the control surface located outside of the sonic cylinder, where multiple roots are obtained. Predicted results of acoustic far-field pressure with the linear Kirchhoff formulation agree well with experimental data when the control surface is at the certain location(R=1.46), but the correlation is getting worse before or after this specific location of the control surface due to the delocalized nonlinear aerodynamic flow field. Calculations based on the nonlinear Kirchhoff equation using a linear sonic cylinder as a control surface show a reasonable agreement with experimental data in negative amplitudes for both tip Mach numbers of 0.90 and 0.95, except some computational integration problems over a shock. This concliudes that a nonlinear formulation is necessary if the control surface is close to the blade and the flow is delocalized.

  • PDF

Nonlinear Combustion Instability Analysis of Solid Rocket Motor Based on Experimental Data

  • Wei, Shaojuan;Liu, Peijin;Jin, Bingning
    • International Journal of Aerospace System Engineering
    • /
    • v.2 no.2
    • /
    • pp.58-61
    • /
    • 2015
  • Combustion instability in solid rocket motors is a long-term open problem since the first rockets were used. Based on the numerous previous studies, it is known that the limit cycle amplitude is one of the key characteristics of the nonlinear combustion instability in solid rocket motors. Flandro's extended energy balance corollary, aims to predict the limit cycle amplitude of complex, nonlinear pressure oscillations for rockets or air-breathing engines, and leads to a precise assessment of nonlinear combustion instability in solid rocket motors. However, based on the comparison with experimental data, it is revealed that the Flandro's method cannot accurately describe such a complex oscillatory pressure. Thus in this work we make modifications of the nonlinear term in the nonlinear wave equations which represents the interaction of different modes. Through this modified method, a numerical simulation of the cylindrical solid rocket has been carried out, and the simulated result consists well with the experimental data. It means that the added coefficient makes the nonlinear wave growth equations describe the experimental data better.

PERFORMANCE ANALYSIS OF THE TURBULENCE MODELS FOR A TURBULENT FLOW IN A TRIANGULAR ROD BUNDLE

  • In W.K;Chun T.H;Myong H.K
    • Journal of computational fluids engineering
    • /
    • v.10 no.1
    • /
    • pp.63-66
    • /
    • 2005
  • A computational fluid dynamics(CFD) analysis has been made for fully developed turbulent flow in a triangular bare rod bundle with a pitch to diameter ratio (P/D) of 1.123. The nonlinear turbulence models predicted the turbulence-driven secondary flow in the triangular subchannel. The nonlinear quadratic κ-ε models by Speziale[1] and Myong-Kasagi[2] predicted turbulence structure in the rod bundle fairly well. The nonlinear quadratic and cubic k-ε models by Shih et al.[3] and Craft et al.[4] showed somewhat weaker anisotropic turbulence. The differential Reynolds stress model by Launder et al.[5} appeared to over predict the turbulence anisotropy in the rod bundle.

The effect of nonlinear groundwater flow on DNAPL migration in a rough-walled single fracture

  • Ji Seong-Hun;Lee Hang-Bok;Yeo In-Uk;Lee Gang-Geun
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
    • /
    • 2005.04a
    • /
    • pp.68-71
    • /
    • 2005
  • We conducted simple experiments to consider the influence of nonlinear groundwater flow on Trichloroethylene (TCE) as Dense Non-Aqueous Phase Liquid (DNAPL) migration in a rough walled single fracture. A glass replica of a granite sample containing a rough single fracture was made and experiments were conducted over a range of Re. Observations are compared to the results of TCE migration tests that were conducted in two parallel glass plates over the same range of Re. Results show nonlinear groundwater flow in a single fracture affect TCE migration path and residual saturation of TCE.

  • PDF

Nonlinear adaptive control for multivariable system

  • Song, Sukheung
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2002.10a
    • /
    • pp.60.4-60
    • /
    • 2002
  • Nonlinear adaptive control for the laboratory pressure-flow model. Control valves are installed on both sides. The pressure and the outlet flow rate are measured. The pressure and outlet flow rate are controlled variables and the control valve stem positions on both sides are the manipulated variables. The variation in both inputs will influence both controlled variables. The control performance is good, in spite of varying valve coefficients of inlet and outlet.

  • PDF

Simulation of Turbulent Flow in a Square Duct with Nonlinear k-$\varepsilon$ Models (비선형 k-$\varepsilon$ 난류모델에 따른 정사각형 덕트내 난류유동 수치해석(8권1호 게재논문중 그림정정))

  • Myong Hyon Kook
    • Journal of computational fluids engineering
    • /
    • v.8 no.2
    • /
    • pp.57-63
    • /
    • 2003
  • Two nonlinear κ-ε models with the wall function method are applied to the fully developed turbulent flow in a square duct. Typical predicted quantities such as axial and secondary velocities, turbulent kinetic energy and Reynolds stresses are compared in details both qualitatively and quantitatively with each other. A nonlinear κ-ε model with the wall function method capable of predicting accurately duct flows involving turbulence-driven secondary motion is presented in the present paper. The nonlinear κ-ε model of Shih et al.[1] adopted in a commercial code is found to be unable to predict accurately duct flows with the prediction level of secondary flows one order less than that of the experiment.

Simulation of Turbulent Flow in a Triangular Subchannel of a Bare Rod Bundle with Nonlinear k-$\varepsilon$ Models (비선형 k-$\varepsilon$ 난류모델에 의한 봉다발의 삼각형 부수로내 난류유동 수치해석)

  • Myong Hyon Kook
    • Journal of computational fluids engineering
    • /
    • v.8 no.2
    • /
    • pp.8-15
    • /
    • 2003
  • Three nonlinear κ-ε models with the wall function method are applied to the fully developed turbulent flow in a triangular subchannel of a bare rod bundle. Typical predicted quantities such as axial and secondary velocities, turbulent kinetic energy and wall shear stress are compared in details both qualitatively and quantitatively with both each other and experimental data. The nonlinear κ-ε models by Speziale[1] and Myong and Kasagi[2] are found to be capable of predicting accurately noncircular duct flows involving turbulence-driven secondary motion. The nonlinear κ-ε model by Shih et aL.[3] adopted in a commercial code is found to be unable to predict accurately noncircular flows with the prediction level of secondary flows one order less than that of the experiment.