• 제목/요약/키워드: Velocity Gradient

검색결과 586건 처리시간 0.026초

Wave propagation analysis of smart strain gradient piezo-magneto-elastic nonlocal beams

  • Ebrahimi, Farzad;Barati, Mohammad Reza
    • Structural Engineering and Mechanics
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    • 제66권2호
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    • pp.237-248
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    • 2018
  • This study presents the investigation of wave dispersion characteristics of a magneto-electro-elastic functionally graded (MEE-FG) nanosize beam utilizing nonlocal strain gradient theory (NSGT). In this theory, a material length scale parameter is propounded to show the influence of strain gradient stress field, and likewise, a nonlocal parameter is nominated to emphasize on the importance of elastic stress field effects. The material properties of heterogeneous nanobeam are supposed to vary smoothly through the thickness direction based on power-law form. Applying Hamilton's principle, the nonlocal governing equations of MEE-FG nanobeam are derived. Furthermore, to derive the wave frequency, phase velocity and escape frequency of MEE-FG nanobeam, an analytical solution is employed. The validation procedure is performed by comparing the results of present model with results exhibited by previous papers. Results are rendered in the framework of an exact parametric study by changing various parameters such as wave number, nonlocal parameter, length scale parameter, gradient index, magnetic potential and electric voltage to show their influence on the wave frequency, phase velocity and escape frequency of MEE-FG nanobeams.

Guided waves of porous FG nanoplates with four edges clamped

  • Zhao, Jing-Lei;She, Gui-Lin;Wu, Fei;Yuan, Shu-Jin;Bai, Ru-Qing;Pu, Hua-Yan;Wang, Shilong;Luo, Jun
    • Advances in nano research
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    • 제13권5호
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    • pp.465-474
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    • 2022
  • Based on the nonlocal strain gradient (NSG) theory and considering the influence of moment of inertia, the governing equations of motion of porous functionally graded (FG) nanoplates with four edges clamped are established; The Galerkin method is applied to eliminate the spatial variables of the partial differential equation, and the partial differential governing equation is transformed into an ordinary differential equation with time variables. By satisfying the boundary conditions and solving the characteristic equation, the dispersion relations of the porous FG strain gradient nanoplates with four edges fixed are obtained. It is found that when the wave number is very small, the influences of nonlocal parameters and strain gradient parameters on the dispersion relation is very small. However, when the wave number is large, it has a great influence on the group velocity and phase velocity. The nonlocal parameter represents the effect of stiffness softening, and the strain gradient parameter represents the effect of stiffness strengthening. In addition, we also study the influence of power law index parameter and porosity on guided wave propagation.

속도중합역산을 위한 반복적 최소자승법 - Part B: CGG 방법 (Iterative Least-Squares Method for Velocity Stack Inversion - Part B: CGG Method)

  • 지준
    • 지구물리와물리탐사
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    • 제8권2호
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    • pp.170-176
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    • 2005
  • 속도중합의 역산을 이용하면 탄성파 자료처리에 있어서 다양한 처리가 가능하므로 이 분야는 최근에 들어 매우 유용한 영역으로 주목을 받고 있다. 하지만 다양한 처리에 적용하기 위해서는 사용되는 역산 방법이 잡음에 강하면서도 고해상도의 속도중합 결과를 만들 수 있어야 한다. 이러한 특성을 갖는 대표적인 역산에는 ${L_1}-norm$을 최소화시키는 IRLS(Iteratively Reweighted Least-Squares)방법을 주로 사용하였다. 본 논문에서는 이러한 성질을 갖는 또 다른 역산 방법의 하나로서 CGG (Conjugate Guided Gradient) 방법을 소개한다. CGG 방법은 반복적 최소자승법의 하나인 Conjugate Gradient (CG)방법을 변형시킨 형태로 ${L_1}-norm$을 최소화 시키는 역산법으로 활용할 수 있다. 본 논문에서는 CGG방법을 소개하고 기존의 IRLS방법과의 차이점 및 결과들을 비교하였다. 모의자료와 현장자료에 대한 실험결과를 통해서 CGG 방법이 IRLS방법과 마찬가지로 다양한 잔여/모델 norm을 최소화시키는 역산방법으로 사용될 수 있음을 보여준다.

The Effect of Serrated Fins on the Flow Around a Circular Cylinder

  • Boo, Jung-Sook;Ryu, Byong-Nam;Kim, Kyung-Chun
    • Journal of Mechanical Science and Technology
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    • 제17권6호
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    • pp.925-934
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    • 2003
  • An experimental study is performed to investigate the characteristics of near wake flow behind a circular cylinder with serrated fins using a constant temperature anemometer and flow visualization. Various vortex shedding modes are observed. Fin height and pitch are closely related to the vortex shedding frequency after a certain transient Reynolds number. The through velocity across the fins decreases with increasing fin height and decreasing fin pitch. Vortex shedding is affected strongly by the velocity distribution just on top of the finned tube. The weaker gradient of velocity distribution is shown as increasing the freestream velocity and the fin height, while decreasing the fin pitch. The weaker velocity gradient delays the entrainment flow and weakens its strength. As a result of this phenomenon, vortex shedding is decreased. The effective diameter is defined as a virtual circular cylinder diameter taking into account the volume of fins, while the hydraulic diameter is proposed to cover the effect of friction by the fin surfaces. The Strouhal number based upon the effective diameters seems to correlate well with that of a circular cylinder without fins. After a certain transient Reynolds number, the trend of the Strouhal number can be estimated by checking the ratio of effective diameter to inner diameter. The normalized velocity and turbulent intensity distributions with the hydraulic diameter exhibit the best correlation with the circular cylinder's data.

톱니형 휜이 부착된 원주의 근접후류특성 연구 (I) - 와유출 메카니즘의 특성변화 규명 - (Characteristics of Near Wake Behind a Circular Cylinder with Serrated Fins (I) - Mechanism of Vortex Shedding -)

  • 류병남;김경천;부정숙
    • 대한기계학회논문집B
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    • 제26권8호
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    • pp.1183-1190
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    • 2002
  • An experimental study is performed to investigate the characteristics of near wake behind a circular cylinder with serrated fins using the constant temperature anemometer and through flow visualization. Previous report(Boo et al., 2001) shows that there are three different modes in vortex shedding behavior. This paper is focused on the identification of the physical reasons why the difference iss occured in vortex shedding. The through flow velocity crossing fins decreases as increasing fin height and decreasing fin pitch mainly due to the flow resistence. Vortex shedding is affected strongly by velocity distribution around fin tube, especially by the velocity gradient. The velocity distribution at X/d=0.0 has lower gradient with increasing freestream velocity and fin height and decreasing fin pitch. Those differences in velocity gradients generate different vortex shedding mechanism.

맥동관냉동기의 2차속도와 온도 (Second-order velocity and temperature in pulse tube refrigerators)

  • 이호진;채왕병;정은수
    • 설비공학논문집
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    • 제9권2호
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    • pp.239-248
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    • 1997
  • Steady components and unsteady components of second-order velocity and temperature within pulse tube refrigerators were obtained. Second-order solutions were obtained from the first-order solutions of continuity, momentum and energy equations, assuming that the amplitude of the piston motion is small. The axial temperature gradient was considered in the analysis. The flow direction of the streaming was consistent with previous experimental observations. Effects of axial temperature gradient on secondary flow and second-order temperature were shown.

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열성층유동장에 놓인 원주후류의 특성에 대한 연구 (1) (A Study on the Characteristics of Cylinder Wake Placed in Thermally Stratified Flow (I))

  • 김경천;정양범;김상기
    • 대한기계학회논문집
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    • 제18권3호
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    • pp.690-700
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    • 1994
  • The effects of thermal stratification on the flow of a stratified fluid past a circular cylinder were examined in a wind tunnel. In order to produce strong thermal stratifications, a compact heat exchanger type variable electric heater is employed. Linear temperature gradient of up to $250^{\circ}C/m$ can be well sustained. The velocity and temperature profiles in the cylinder wake with a strong thermal gradient of $200^{\circ}C/m$ were measured and the smoke wire flow visualization method was used to investigate the wake characteristics. It is found that the temperature field effects as an active contaminant, so that the mean velocity and temperature profiles can not sustain their symmetricity about the wake centerline when such a strong thermal gradient is superimposed. It is evident that the turbulent mixing in the upper half section is stronger than that of the lower half of the wake in a stably stratified flow.

순수유체와 다공성물질의 경계면에서 압력구배의 수치적 처리에 관하여 (On Numerical Treatment of Pressure Gradient at the Interface Between a Homogeneous Fluid and a Porous Medium)

  • 김인선;남진현;김찬중
    • 한국전산유체공학회지
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    • 제4권3호
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    • pp.28-34
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    • 1999
  • The objective of this study is to present a numerical treatment of the pressure gradient when control volumes are sharing the interface between a homogeneous fluid and a porous medium. Two possible approaches, e.g. linear interpolation and extrapolation, are considered, and they are applied to the case of a steady and two-dimensional curved channel flow which is partially filled with a porous medium. It was found that the linear extrapolation produces a continuous velocity-field at the interface and thus is recommended. On the contrary, the linear interpolation entails a discontinuous velocity field at the interface, thereby warning its use in connection with the Brinkman-Forchheimer-extended Darcy flow model.

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일정 열유속을 받는 곡관내에서의 맥동 열유동에 관한 수치적 연구 (Numerical Study on Pulsatile Flow and Heat Transfer in a Curved Tube with Constant Heat Flux)

  • 백영렬;이재헌;오명도
    • 대한기계학회논문집
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    • 제18권4호
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    • pp.1031-1038
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    • 1994
  • Characteristics of pulsatile flow and heat transfer have been studied numerically in the constant heat flux curved tube with periodic pressure gradient. As the Womersley number increases, the phase difference between the pressure gradient and the cross section averaged axial velocity becomes larger. In case of the Womersley number $\beta = 2$, when cross section averaged axial velocity reaches periodic state with time, the reverse and the natural flow coexist at phase angle, $\lambda = 1.44\pi$ and $\lambda =1.96\pi$. For all the Womersley numbers of present investigation, the time variation of wall temperature near inner wall is higher than that of near outer wall, independent of phase angle.

Magnetic Separation of FCC Equilibrium Catalyst by HGMS

  • Xiang, Fazhu;He, Pingbo;Chen, Jin
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2001년도 The 6th International Symposium of East Asian Resources Recycling Technology
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    • pp.770-775
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    • 2001
  • Effects of magnetic field and carrier gas velocity on the magnetic separation of FCC catalyst by a high gradient magnetic separator were studied. The activities of the equilibrium catalyst, the magnetic particles and the nonmagnetic particles were evaluated in a fixed bed microreactor The results showed that heavy metal contaminated catalyst can be selectively separated by means of high gradient magnetic separation at magnetic field 0.5T and carrier gas velocity 0.3m.s$^{-1}$ , and lightly metal contaminated catalyst retained high catalytic activity.

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