• 제목/요약/키워드: linear equation model

검색결과 923건 처리시간 0.026초

원심다익송풍기의 고효율 설계를 위한 수치최적설계 (Numerical Optimization of a Multi-blades Centrifugal Fan for High-efficiency Design)

  • 서성진;김광용
    • 한국유체기계학회 논문집
    • /
    • 제7권3호
    • /
    • pp.32-38
    • /
    • 2004
  • Shape of a multi-blades centrifugal fan is optimized by response surface method based on three-dimensional Navier-Stokes analysis. For numerical analysis, Reynolds-averaged Navier-Stokes equations with standard $k-{epsilon}$ turbulence model are transformed into non-orthogonal curvilinear coordinate system, and are discretized with finite volume approximations. Due to the large number of blades in this centrifugal fan, the flow inside of the fan is regarded as steady flow by introducing the impeller force models for economic calculations. Optimizations with and without constraints are carried out. Design variables, location of cur off, radius of cut off, expansion angle of scroll and width of impeller were selected to optimize the shapes of scroll and blades. Data points for response evaluations were selected by D-optimal design, and linear programming method was used for the optimization on the response surface. As a main result of the optimization, the efficiency was successfully improved. The correlation of efficiency with relative size of inactive zone at the exit of impeller is discussed as well as with average momentum fluxes in the scroll.

운동자계 문제의 해석을 위한 유한요소법에 관한 연구 (The Study of Finite Element Method for Analyses of Travelling Magnetic Field Problem)

  • 장호성
    • 조명전기설비학회논문지
    • /
    • 제19권4호
    • /
    • pp.108-116
    • /
    • 2005
  • 1계 미분항이 포함되는 미분방정식의 수치해를 구하고자 할 때 중앙차분을 사용한 유한차분법이나 Galerkin법을 사용한 유한요소법은 그 해가 매우 불안하여 요소분할을 세밀하게 하여야만 해를 얻을 수 있다. 이러한 해의 불안 정성이 일어나는 이유는 대류항의 크기가 커질수록 후류에서의 경계조건이 해의 급격한 변화를 요구하는데 수치해가 급격한 변화에 적응하지 못하기 때문이다. 이러한 문제를 해결하기 위해 1970년대부터 upwind법이 개발되어 왔다. 본 논문은 1계 미분항이 표현되는 속도기전력이 발생하는 전자계 문제를 유한요소법을 이용하여 해석할 때 발생하는 해의 진동 문제를 해결하기 위해 Heinrich에 의해 제안된 upwind법을 적용하였다.

원심다익송풍기 유동의 삼차원 Navier-Stakes 해석 (Three-Dimensional Navier-Stokes Analysis of the Flow through A Multiblade Centrifugal Fan)

  • 서성진;첸시;김광용;강신형
    • 유체기계공업학회:학술대회논문집
    • /
    • 유체기계공업학회 1998년도 유체기계 연구개발 발표회 논문집
    • /
    • pp.42-48
    • /
    • 1998
  • Numerical study is presented for the analysis of three-dimensional incompressible turbulent flows in multiblade centrifugal fan. Reynolds-averaged Navier-Stokes equations with standard k - $\epsilon$ turbulence model are transformed to non-orthogonal curvilinear coordinates, and are discretized with finite volume approximations. Linear Upwind Differencing Scheme(LUDS) is used to approximate the convection terms in the governing equations. SIMPLEC algorithm is used as a velocity-pressure correction procedure. The computational area is divided into three blocks; core, impeller and scroll, which are linked by multi-block method. The flow inside of the fan is regarded as steady flow, and mathematical formula established from the cascade theory and empirical coefficient are employed to simulate tile flow through the impeller. From comparisons between the computational results and the experimental data, the validity of the mathematical formula for the blade forces was examined and good results were obtained qualitatively. Hence, we can get the flow characteristics of multi-blade centrifugal fan and it will be a corner stone of the development of the multiblade centrifugal fan.

  • PDF

모리슨 항력을 고려한 파랑 중 TLP 거동 특성 연구 (Numerical Study on Wave-Induced Motion Response of Tension Leg Platform in Waves)

  • 조윤상;남보우;홍사영;김진하;김현조
    • 한국해양공학회지
    • /
    • 제28권6호
    • /
    • pp.508-516
    • /
    • 2014
  • A numerical method to investigate the non-linear motion characteristics of a TLP is established. A time domain simulation that includes the memory effect using the convolution integral is used to consider the transient effect of TLP motion. The hydrodynamic coefficients and wave force are calculated using a potential flow model based on the HOBEM(higher order boundary element method). The viscous drag force acting on the platform and tendons is also considered by using Morison’s drag. The results of the present numerical method are compared with experimental data. The focus is the nonlinear effect due to the viscous drag force on the TLP motion. The ringing, springing, and drift motion are due to the drag force based on Morison's formula.

Preparation and characterization of green adsorbent from waste glass and its application for the removal of heavy metals from well water

  • Rashed, M. Nageeb;Gad, A.A.;AbdEldaiem, A.M.
    • Advances in environmental research
    • /
    • 제7권1호
    • /
    • pp.53-71
    • /
    • 2018
  • Waste glass disposal causes environmental problems in the cities. To find a suitable green environmental solution for this problem low cost adsorbent in this study was prepared from waste glass. An effective new green adsorbent was synthesized by hydrothermal treatment of waste glass (WG), followed by acidic activation of its surface by HCl (WGP). The prepared adsorbent was characterized by scanning electron microscopy (SEM), X-ray fluorescence (XRF), X-ray diffraction (XRD), and BET surface measurement. The developed adsorbent was used for the removal of heavy metals (Cd, Cu, Fe, Pb and Zn) from well water. Batch experiments were conducted to test the ability of the prepared adsorbent for the removal of Cd, Cu, Fe, Pb and Zn from well water. The experiments of the heavy metals adsorption by adsorbent (WGP) were performed at different metal ion concentrations, solution pH, adsorbent dosage and contact time. The Langmuir and Freundlich adsorption isotherms and kinetic models were used to verify the adsorption performance. The results indicated high removal efficiencies (99-100%) for all the studied heavy metals at pH 7 at constant contact time of 2 h. The data obtained from adsorption isotherms of metal ions at different time fitted well to linear form of the Langmuir sorption equation, and pseudo-second-order kinetic model. Application of the resulted conditions on well water demonstrated that the modified waste glass adsorbent successfully adsorbed heavy metals (Cd, Cu, Fe, Pb and Zn) from well water.

Effect of dynamic absorber on the nonlinear vibration of SFG cylindrical shell

  • Foroutan, Kamran;Ahmadi, Habib
    • Advances in aircraft and spacecraft science
    • /
    • 제7권4호
    • /
    • pp.291-308
    • /
    • 2020
  • In this paper, a numerical method is utilized to study the effect of a new vibration absorber on vibration response of the stiffened functionally graded (SFG) cylindrical shell under a couple of axial and transverse compressions. The material composition of the stiffeners and shell is continuously changed through the thickness. The vibration absorber consists of a mass-spring-damper system which is connected to the ground utilizing a linear local damper. To simplify, the spring element of the vibration absorber is called global potential. The von Kármán strain-displacement kinematic nonlinearity is employed in the constitutive laws of the shell and stiffeners. To consider the stiffeners in the model, the smeared stiffener technique is used. After obtaining the governing equations, the Galerkin method is applied to discretize the nonlinear dynamic equation of system. In order to find the nonlinear vibration responses, the fourth order Runge-Kutta method is utilized. The influence of the stiffeners, the dynamic absorber parameters on the vibration behavior of the SFG cylindrical shell is investigated. Also, the influences of material parameters of the system on the vibration response are examined.

Unscented Kalman Filtering for Spacecraft Attitude and Rate Determination Using Magnetometer

  • Kim, Sung-Woo;Park, Sang-Young;Abdelrahman, Mohammad;Choi, Kyu-Hong
    • 한국우주과학회:학술대회논문집(한국우주과학회보)
    • /
    • 한국우주과학회 2008년도 한국우주과학회보 제17권2호
    • /
    • pp.36.1-36.1
    • /
    • 2008
  • An Unscented Kalman Filter(UKF) for estimation of attitude and rate of a spacecraft using only magnetometer vector measurement is presented. The dynamics used in the filter is nonlinear rotational equation which is augmented by the quaternion kinematics to construct a process model. The filter is designed for low Earth orbit satellite, so the disturbance torques include gravity-gradient torque, magnetic disturbance torque, and aerodynamic drag. The magnetometer measurements are simulated based on time-varying position of the spacecraft. The filter has been tested not only in the standby mode but also in the detumbling mode. To stabilize the attitude, linear PD controller is applied and the actuator is assumed to be thruster. A Monte-Carlo simulation has been done to guarantee the stability of the filter performance to the various initial conditions. The UKF performance is compared to that of EKF and it reveals that UKF outperforms EKF.

  • PDF

Effect of blockage on the drag of a triangular cylinder

  • Yeung, W.W.H.
    • Wind and Structures
    • /
    • 제12권1호
    • /
    • pp.49-61
    • /
    • 2009
  • A method is presented to estimate the form drag and the base pressure on a triangular cylinder in the presence of blockage effect. The Strouhal number, which is found to increase with the flow constriction experimentally by Ramamurthy & Ng (1973), may be decoupled from the blockage effect when re-defined by using the velocity at flow separation and a theoretical wake width. By incorporating this wake width into the momentum equation by Maskell (1963) for the confined flow, a relationship between the form drag and the base pressure is derived. Independently, the experimental data of surface pressure from Ramamurthy & Lee (1973) are found to be independent of the blockage effect when expressed in terms of a modified pressure coefficient involving the pressure at separation. Using the potential flow model by Parkinson & Jandali (1970) and its subsequent development in Yeung & Parkinson (2000) for the unconfined flow, a linear relation between the pressure at separation and the form drag is formulated. By solving the two equations simultaneously with a specified blockage ratio and an apex angle of the triangular cylinder, the predictions of the drag and the base pressure are in reasonable agreement with experimental data. A new theoretical relationship for the Strouhal number, pressure drag coefficient and base pressure proposed in this study allows the confinement effect to be appropriately taken into consideration. The present approach may be extended to three-dimensional bluff bodies.

LS Prony에 의한 시간영역에서의 배경뇌파 특징추출 (The Feacture Extraction of Background EEG in the Time Domain by LS Prony Method.)

  • 주대성;황수용;최갑석
    • 대한의용생체공학회:의공학회지
    • /
    • 제10권2호
    • /
    • pp.131-138
    • /
    • 1989
  • In this paper the feature of background EEG is extracted by LS Prony Method for the analysis of background EEG in the time domain. Autocorrelation leg estimates are not required with the LS Prony method. The Prony method is required any the solution of two serfs of simultaneous linear equation and a polynominal rooting. That the optimal order of this model is the 6-th order is determined by using Akaike' s Information Criterial test. From the experimential results the alpha band amplitude is the largest among alpha band beta band theta band delta band and beta band amplitude is larger than that of the delta band and theta band. The sustained time for the alph a band, the beta band, the delta band and the theta band is 2, 3461 (sec), 0.6490(sec), 0.3120(sec), 0.7046(sec) respectively. Consequenty the alpha band is maintained in the whole subjects, the beta band, the delta band, the theta band are existed intermittently in each subjects.

  • PDF

Prediction of ECC tensile stress-strain curves based on modified fiber bridging relations considering fiber distribution characteristics

  • Lee, Bang Yeon;Kim, Jin-Keun;Kim, Yun Yong
    • Computers and Concrete
    • /
    • 제7권5호
    • /
    • pp.455-468
    • /
    • 2010
  • This paper presents a prediction and simulation method of tensile stress-strain curves of Engineered Cementitious Composites (ECC). For this purpose, the bridging stress and crack opening relations were obtained by the fiber bridging constitutive law which is quantitatively able to consider the fiber distribution characteristics. And then, a multi-linear model is employed for a simplification of the bridging stress and crack opening relation. In addition, to account the variability of material properties, randomly distributed properties drawn from a normal distribution with 95% confidence are assigned to each element which is determined on the basis of crack spacing. To consider the variation of crack spacing, randomly distributed crack spacing is drawn from the probability density function of fiber inclined angle calculated based on sectional image analysis. An equation for calculation of the crack spacing that takes into quantitative consideration the dimensions and fiber distribution was also derived. Subsequently, a series of simulations of ECC tensile stress-strain curves was performed. The simulation results exhibit obvious strain hardening behavior associated with multiple cracking, which correspond well with test results.