• Title/Summary/Keyword: boundary layers

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Experimental Study of Boundary Layer Transition on an Airfoil Induced by Periodically Passing Wake (I) -A Time-Averaged Characteristic- (주기적 후류 내의 익형 위 천이경계층에 관한 실험적 연구(I) -시간평균된 유동 특성-)

  • Park, Tae-Chun;Jeon, U-Pyeong;Gang, Sin-Hyeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.6
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    • pp.776-785
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    • 2001
  • Hot-wire measurements are performed in boundary layers developing on a NACA0012 airfoil over which wakes pass periodically. The Reynolds number based on chord length of the airfoil is 2$\times$10(sup)5 and the wakes are generated by circular cylinders rotating clockwise and counterclockwise around the airfoil. This paper and its companion Part II describe the phenomena of wake-induced transition of the boundary layers on the airfoil using measured data; phase-and time-averaged streamwise mean velocities, turbulent fluctuations, integral parameters and wall skin frictions. This paper describes the background and facility together with results of time-averaged quantities. Due to the passing wake with mean velocity defects and high turbulence intensities, the laminar boundary layer is periodically disturbed at the upstream station and becomes steady-state transitional boundary layer at the downstream station. The velocity defect in the passing wake changes the local pressure at the leading of the airfoil, significantly affects the time-mean pressure distribution on the airfoil and eventually, has influence on the transition process of the boundary layer.

A study on estimating the interlayer boundary of the subsurface using a artificial neural network with electrical impedance tomography

  • Sharma, Sunam Kumar;Khambampati, Anil Kumar;Kim, Kyung Youn
    • Journal of IKEEE
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    • v.25 no.4
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    • pp.650-663
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    • 2021
  • Subsurface topology estimation is an important factor in the geophysical survey. Electrical impedance tomography is one of the popular methods used for subsurface imaging. The EIT inverse problem is highly nonlinear and ill-posed; therefore, reconstructed conductivity distribution suffers from low spatial resolution. The subsurface region can be approximated as piece-wise separate regions with constant conductivity in each region; therefore, the conductivity estimation problem is transformed to estimate the shape and location of the layer boundary interface. Each layer interface boundary is treated as an open boundary that is described using front points. The subsurface domain contains multi-layers with very complex configurations, and, in such situations, conventional methods such as the modified Newton Raphson method fail to provide the desired solution. Therefore, in this work, we have implemented a 7-layer artificial neural network (ANN) as an inverse problem algorithm to estimate the front points that describe the multi-layer interface boundaries. An ANN model consisting of input, output, and five fully connected hidden layers are trained for interlayer boundary reconstruction using training data that consists of pairs of voltage measurements of the subsurface domain with three-layer configuration and the corresponding front points of interface boundaries. The results from the proposed ANN model are compared with the gravitational search algorithm (GSA) for interlayer boundary estimation, and the results show that ANN is successful in estimating the layer boundaries with good accuracy.

A UNIFORMLY CONVERGENT NUMERICAL METHOD FOR A WEAKLY COUPLED SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS WITH BOUNDARY AND WEAK INTERIOR LAYERS

  • CHAWLA, SHEETAL;RAO, S. CHANDRA SEKHARA
    • Journal of applied mathematics & informatics
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    • v.33 no.5_6
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    • pp.635-648
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    • 2015
  • We consider a weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous source term. The diffusion term of each equation is associated with a small positive parameter of different magnitude. Presence of discontinuity and different parameters creates boundary and weak interior layers that overlap and interact. A numerical method is constructed for this problem which involves an appropriate piecewise uniform Shishkin mesh. The numerical approximations are proved to converge to the continuous solutions uniformly with respect to the singular perturbation parameters. Numerical results are presented which illustrates the theoretical results.

PERFORMANCE OF RICHARDSON EXTRAPOLATION ON SOME NUMERICAL METHODS FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM WHOSE SOLUTION HAS BOUNDARY LAYERS

  • Munyakazi, Justin B.;Patidar, Kailash C.
    • Journal of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.679-702
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    • 2014
  • Investigation of the numerical solution of singularly perturbed turning point problems dates back to late 1970s. However, due to the presence of layers, not many high order schemes could be developed to solve such problems. On the other hand, one could think of applying the convergence acceleration technique to improve the performance of existing numerical methods. However, that itself posed some challenges. To this end, we design and analyze a novel fitted operator finite difference method (FOFDM) to solve this type of problems. Then we develop a fitted mesh finite difference method (FMFDM). Our detailed convergence analysis shows that this FMFDM is robust with respect to the singular perturbation parameter. Then we investigate the effect of Richardson extrapolation on both of these methods. We observe that, the accuracy is improved in both cases whereas the rate of convergence depends on the particular scheme being used.

Downburst versus boundary layer induced wind loads for tall buildings

  • Kim, Jongdae;Hangan, Horia;Eric Ho, T.C.
    • Wind and Structures
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    • v.10 no.5
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    • pp.481-494
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    • 2007
  • Downbursts are transient phenomena that produce wind profiles that are distinctly different from synoptic boundary layers. Wind field data from Computational Fluid Dynamics (CFD) simulations of isolated downburst-like impinging jets, are used to investigate structural loads of tall buildings due to these high intensity winds. The base shear forces and base moments of tall buildings of heights between 120 and 250 m produced by downburst winds of various scales are compared with the forces from the equivalent boundary layer gust winds, with matched 10-metre wind velocity. The wind profiles are mainly functions of the size of the downburst and the radial distance from the centre of the storm. Wind forces due to various downburst profiles are investigated by placing the building at different locations relative to the storm center as well as varying the size of the downburst. Overall it is found that downbursts larger than approx. 2,000 m in diameter might produce governing design wind loads above those from corresponding boundary layer winds for tall buildings.

On the resonance problems in FG-GPLRC beams with different boundary conditions resting on elastic foundations

  • Hao-Xuan, Ding;Yi-Wen, Zhang;Gui-Lin, She
    • Computers and Concrete
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    • v.30 no.6
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    • pp.433-443
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    • 2022
  • In the current paper, the nonlinear resonance response of functionally graded graphene platelet reinforced (FG-GPLRC) beams by considering different boundary conditions is investigated using the Euler-Bernoulli beam theory. Four different graphene platelets (GPLs) distributions including UD and FG-O, FG-X, and FG-A are considered and the effective material parameters are calculated by Halpin-Tsai model. The nonlinear vibration equations are derived by Euler-Lagrange principle. Then the perturbation method is used to discretize the motion equations, and the loadings and displacement are all expanded, so as to obtain the first to third order perturbation equations, and then the asymptotic solution of the equations can be obtained. Then the nonlinear amplitude-frequency response is obtained with the help of the modified Lindstedt-Poincare method (Chen and Cheung 1996). Finally, the influences of the distribution types of GPLs, total GPLs layers, GPLs weight fraction, elastic foundations and boundary conditions on the resonance problems are comprehensively studied. Results show that the distribution types of GPLs, total GPLs layers, GPLs weight fraction, elastic foundations and boundary conditions have a significant effect on the nonlinear resonance response of FG-GPLRC beams.

Interaction Between an Unstabilized Turbulent Boundary Layer and an Incident Oblique Shock Wave (不安定化된 亂流境界層 과 斜角入射衝擊波 와의 相互作용)

  • 이덕봉
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.2
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    • pp.158-173
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    • 1985
  • An experimental investigation has been made to study the interaction between and incident oblique shock wave and an unstabilized turbulent boundary layer on a solid surface downstream of a porous surface with air injection through the porous surface. The boundary layer upstream of the interaction is unstabilized by the injection and provokes a shock wave which eventually interacts with the unstabilized boundary layer after reflecting from the upper wall of the test section. Three cases having diferent upstream Mach numbers and different shock strengthes are studied. According to the level of the unstabilization, two cases are of attached boundary layers and the other one is of a separated boundary layer. The result shows that the reflected wavey system is composed of the compression wave, expansion wave fan, and recompression wave like the ordinary interaction while the separated boundary layer strengthens the reflected expansion waves. The interactions of the attached boundary layers show a similar tendency of the upstream wall pressure distribution as that of the ordinary interacton but the pressure rise rather decays in the downstream region. In case of the separated boundary layer, the wall pressure continues to rise in the downstream as opposed ot the former cases. This indicates that the interaction region spreads out widely adn the viscous effect of the separated boundary layer smoothens the abrupt pressure increase due to the shock inpingement.

Free surface simulation of a two-layer fluid by boundary element method

  • Koo, Weon-Cheol
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.2 no.3
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    • pp.127-131
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    • 2010
  • A two-layer fluid with free surface is simulated in the time domain by a two-dimensional potential-based Numerical Wave Tank (NWT). The developed NWT is based on the boundary element method and a leap-frog time integration scheme. A whole domain scheme including interaction terms between two layers is applied to solve the boundary integral equation. The time histories of surface elevations on both fluid layers in the respective wave modes are verified with analytic results. The amplitude ratios of upper to lower elevation for various density ratios and water depths are also compared.

Capacitive-Voltage properties of (Sr.Ca)$TiO_3$ Ceramics ((Sr.Ca)$TiO_3$ 세라믹스의 용량-전압 특성)

  • 강재훈;최운식;김충혁;김진사;박용필;송민종
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.11a
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    • pp.34-37
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    • 2001
  • In this study, the capacitance-voltage properties of (Sr$_{1-x}$ .Ca$_{x}$)TiO$_3$(0.05$\leq$x$\leq$0.20)-based grain boundary layer ceramics were investigated. The ceramics were fabricated by the conventional mixed oxide method. The sintering temperature and time were 1480~150$0^{\circ}C$ and 4 hours, respectively. The 2nd phase formed by the thermal diffusion of CuO from the surface leads to very excellent dielectric properties, that is, $\varepsilon$$_{r}$>50000, tan$\delta$<0.05, $\Delta$C<$\pm$10%. The capacitance is almost unchanged below about 20[V] but it decreases slowly about 20[V]. The results of the capacitance-voltage properties indicated that the grain boundary was composed of the continuous insulating layers.ulating layers.s.

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A Study on the Ambiguity of the Boundary in the Architectural Interior and Exterior Space (건축 내$\cdot$외부공간 경계의 모호성에 관한 연구)

  • Kwak Ki-Pyo
    • Korean Institute of Interior Design Journal
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    • v.14 no.2 s.49
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    • pp.20-28
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    • 2005
  • This paper investigates that the ambiguity of the boundary between interior space and exterior space in architecture appears universally in history and reveals the various aspects of ambiguous boundary in architecture. The space is formed by the relationship with the surroundings and the boundary of two opposite spaces is apt to be ambiguous according to lots of complex factors. Before Modern Architecture the boundary of interior and exterior space had a tendency to be ambiguous by modifying compositional method of material boundary, that is semi interior-exterior space, the reversion of interior and exterior space and space in space. After Modern Architecture the meaning of physical boundary in space is lost along with dissolution of boundary over the society and the boundary of space comes to be dematerialized by the technology and the change of space perception. The phenomenon of deconstruction in spacial boundary accelerate increasingly according to fluid space, mutually interpenetrated space, visual transparency and adjustment of layers. And contemporary technology is collapsing the meaning itself of space division fundamentally.