• Title/Summary/Keyword: Energy Dissipation Rate

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Developments and applications of a modified wall function for boundary layer flow simulations

  • Zhang, Jian;Yang, Qingshan;Li, Q.S.
    • Wind and Structures
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    • v.17 no.4
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    • pp.361-377
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    • 2013
  • Wall functions have been widely used in computational fluid dynamics (CFD) simulations and can save significant computational costs compared to other near-wall flow treatment strategies. However, most of the existing wall functions were based on the asymptotic characteristics of near-wall flow quantities, which are inapplicable in complex and non-equilibrium flows. A modified wall function is thus derived in this study based on flow over a plate at zero-pressure gradient, instead of on the basis of asymptotic formulations. Turbulent kinetic energy generation ($G_P$), dissipation rate (${\varepsilon}$) and shear stress (${\tau}_{\omega}$) are composed together as the near-wall expressions. Performances of the modified wall function combined with the nonlinear realizable k-${\varepsilon}$ turbulence model are investigated in homogeneous equilibrium atmosphere boundary layer (ABL) and flow around a 6 m cube. The computational results and associated comparisons to available full-scale measurements show a clear improvement over the standard wall function, especially in reproducing the boundary layer flow. It is demonstrated through the two case studies that the modified wall function is indeed adaptive and can yield accurate prediction results, in spite of its simplicity.

Effect of surface bolt on the collapse mechanism of a shallow rectangular cavity

  • Huang, Fu;Zhao, Lian-heng;Zhang, Sheng
    • Geomechanics and Engineering
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    • v.13 no.3
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    • pp.505-515
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    • 2017
  • Based on the collapse characteristics of a shallow rectangular cavity, a three-dimensional failure mechanism which can be used to study the collapsing region of the rock mass above a shallow cavity roof is constructed. Considering the effects of surcharge pressure and surface bolt on the collapsing block, the external rate of works produced by surcharge pressure and surface bolt are included in the energy dissipation calculation. Using variational approach, an analytic expression of surface equation for the collapsing block, which can be used to study the collapsing region of the rock mass above a shallow cavity roof, is derived in the framework of upper bound theorem. Based on the analytic expression of surface equation, the shape of the collapsing block for shallow cavity is drawn. Moreover, the changing law of the collapsing region for different parameters indicates that the collapsing region of rock mass decreases with the increase of the density of surface bolt. This conclusion can provide reference for practicing geotechnical engineers to achieve an optimal design of supporting structure for a shallow cavity.

Seismic behavior enhancement of frame structure considering parameter sensitivity of self-centering braces

  • Xu, Longhe;Xie, Xingsi;Yan, Xintong;Li, Zhongxian
    • Structural Engineering and Mechanics
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    • v.71 no.1
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    • pp.45-56
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    • 2019
  • A modified mechanical model of pre-pressed spring self-centering energy dissipation (PS-SCED) brace is proposed, and the hysteresis band is distinguished by the indication of relevant state variables. The MDOF frame system equipped with the braces is formulated in an incremental form of linear acceleration method. A multi-objective genetic algorithm (GA) based brace parameter optimization method is developed to obtain an optimal solution from the primary design scheme. Parameter sensitivities derived by the direct differentiation method are used to modify the change rate of parameters in the GA operator. A case study is conducted on a steel braced frame to illustrate the effect of brace parameters on node displacements, and validate the feasibility of the modified mechanical model. The optimization results and computational process information are compared among three cases of different strategies of parameter change as well. The accuracy is also verified by the calculation results of finite element model. This work can help the applications of PS-SCED brace optimization related to parameter sensitivity, and fulfill the systematic design procedure of PS-SCED brace-structure system with completed and prospective consequences.

Evolution of post-peak localized strain field of steel under quasi-static uniaxial tension: Analytical study

  • Altai, Saif L.;Orton, Sarah L.;Chen, Zhen
    • Structural Engineering and Mechanics
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    • v.83 no.4
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    • pp.435-449
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    • 2022
  • Constitutive modeling that could reasonably predict and effectively evaluate the post-peak structural behavior while eliminating the mesh-dependency in numerical simulation remains to be developed for general engineering applications. Based on the previous work, a simple one-dimensional modeling procedure is proposed to predict and evaluate the post-peak response, as characterized by the evolution of localized strain field, of a steel member to monotonically uniaxial tension. The proposed model extends the classic one-dimensional softening with localization model as introduced by (Schreyer and Chen 1986) to account for the localization length, and bifurcation and rupture points. The new findings of this research are as follows. Two types of strain-softening functions (bilinear and nonlinear) are proposed for comparison. The new failure criterion corresponding to the constitutive modeling is formulated based on the engineering strain inside the localization zone at rupture. Furthermore, a new mathematical expression is developed, based on the strain rate inside and outside the localization zone, to describe the displacement field at which bifurcation occurs. The model solutions are compared with the experimental data on four low-carbon cylindrical steel bars of different lengths. For engineering applications, the model solutions are also compared to the experimental data of a cylindrical steel bar system (three steel bars arranged in series). It is shown that the bilinear and nonlinear softening models can predict the energy dissipation in the post-peak regime with an average difference of only 4%.

Experimental Investigation of the Turbulent Effect on Settling Velocity of Inertial Particles in Open-channel Flow (개수로 흐름에서 난류가 관성입자의 침강속도에 미치는 영향에 대한 실험 연구)

  • Baek, Seungjun;Park, Yong Sung;Jung, Sung Hyun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.171-171
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    • 2022
  • 난류 수체에서 관성입자의 침강속도는 정지 수체에서보다 빠르고, 그 침강속도의 증가비율은 입자의 관성력과 난류의 길이 스케일에 큰 영향을 받는다고 알려져 있다(Wang and Maxey, 1993; Yang and Shy, 2003; Wang et al., 2018). 본 연구에서는 개수로 흐름에서 난류의 영향을 받는 관성입자의 침강속도를 측정하고, 정지 상태의 침강속도에 대한 침강속도의 증가비율과 난류 인자의연관성에 대해 조사하였다. 실험에 사용된 관성입자는 비중 1.35, 직경 300 ㎛에서 2000 ㎛까지의 구형 플라스틱(PE; polyethylene) 입자이며, 해당 입자들의 침강속도는 PTV(particle tracking velocimetry) 방식을 통해 측정하였다. 그리고 PIV(particle image velocimetry) 기법을 통해, 개수로 흐름의 난류 에너지 소산율(energy dissipation rate, ϵ)과 그에 따른 Kolomogorov 길이 스케일을 측정하였다. 실험 결과, 모든 직경 조건에서 플라스틱 입자는 난류 흐름에서의 침강속도가 정지 수체에서의 침강속도보다 빠름을 보였으며, 그 비율은 입자 직경이 난류의 길이 스케일과 유사하거나 작아질 때 큰 폭으로 증가하는 것을 확인하였다. 또한 유체 내에서의 관성입자의 거동에 대한 이론식과 비교하여 관성입자의 침강에 미치는 여러 힘들의 상대적 관계를 파악하였다. 본 연구의 결과는 자연 수체에서 미세플라스틱의 거동을 이해하는데 도움이 될 것으로 기대된다.

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Research on seismic performance of regionally confined concrete circular column with trapezoid stirrups

  • Longfei Meng;Hao Su;Yanhua Ye;Haojiang Li
    • Steel and Composite Structures
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    • v.51 no.6
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    • pp.587-600
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    • 2024
  • In order to investigate the seismic performance of regionally confined concrete circular column with trapezoid stirrups (TRCCC) under high axial compression ratio, the confinement mechanism of regionally confined concrete was analyzed. Three regionally confined concrete circular columns with trapezoid stirrups were designed, and low cyclic loading tests were conducted at three different axial compression ratios (0.9, 1.1, 1.25) to study the failure mode, hysteresis curve, skeleton curve, deformation capacity, stiffness degradation and energy dissipation capacity of the specimens. The results indicate that the form of regional confinement concrete provides more uniform confinement to the normal confinement, and the confinement efficiency at the edges is 1.4 times that of normal confined concrete. The ductility coefficients of the specimens were all greater than 3 under high axial compression ratios, and the stiffness and horizontal bearing capacity increased with the increase of axial compression ratio. Therefore, it is recommended that the code of design specifications can appropriately relax the axial compression ratio limit for TRCCC. Finally, the spacing between stirrups of TRCCC was analyzed using ABAQUS software. The results showed that as the spacing between the stirrups decreased, the cracking load and peak load of TRCCC increased continuously, but the rate of increase decreases.

A Study on the Seismic Performance Improvement of Mid and Low-Rise RC Grid Structures Using Steel Slab Hysteretic Damper (강재 슬래브 이력형 댐퍼(SSHD)를 이용한 중·저층 RC 격자 구조물의 내진성능 향상에 관한 연구)

  • Kim, Dong Baek;Lee, In Duk;Choi, Jung Ho
    • Journal of the Society of Disaster Information
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    • v.15 no.3
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    • pp.418-426
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    • 2019
  • Purpose: After analyzing the seismic capability of low-rise RC grid structures with insufficient seismic performance, the purpose of the project is to install steel slab hysteretic dampers (SSHD) to improve the seismic performance of beams and columns, and to suggest measures to minimize damage to the structure and human damage when an earthquake occurs. Method: The evaluation of the seismic performance of a structure is reviewed based on the assumption that the seismic performance is identified for the grid-type subway systems that are not designed to be seismic resistant and the installation of an SSHD system, a method that minimizes construction period, if insufficient, is required. Result: After the application and reinforce of structure with SSHD, and the results of eigenvalue analysis are as follows. The natural periodicity of longitudinal direction was 0.55s and that of vertical direction was 0.58s. Conclusion: As results of cyclic load test of structure with SSHD, the shear rigidity of damper is 101%, the energy dissipation rate is 108% and, plastic rotation angle of all column and beam is satisfied for $I_o$ level and therefore it is judged that the reinforce effect is sufficient.

Effect of loading velocity on the seismic behavior of RC joints

  • Wang, Licheng;Fan, Guoxi;Song, Yupu
    • Earthquakes and Structures
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    • v.8 no.3
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    • pp.665-679
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    • 2015
  • The strain rate of reinforced concrete (RC) structures stimulated by earthquake action has been generally recognized as in the range from $10^{-4}/s$ to $10^{-1}/s$. Because both concrete and steel reinforcement are rate-sensitive materials, the RC beam-column joints are bound to behave differently under different strain rates. This paper describes an investigation of seismic behavior of RC beam-column joints which are subjected to large cyclic displacements on the beam ends with three loading velocities, i.e., 0.4 mm/s, 4 mm/s and 40 mm/s respectively. The levels of strain rate on the joint core region are correspondingly estimated to be $10^{-5}/s$, $10^{-4}/s$, and $10^{-2}/s$. It is aimed to better understand the effect of strain rates on seismic behavior of beam-column joints, such as the carrying capacity and failure modes as well as the energy dissipation. From the experiments, it is observed that with the increase of loading velocity or strain rate, damage in the joint core region decreases but damage in the plastic hinge regions of adjacent beams increases. The energy absorbed in the hysteresis loops under higher loading velocity is larger than that under quasi-static loading. It is also found that the yielding load of the joint is almost independent of the loading velocity, and there is a marginal increase of the ultimate carrying capacity when the loading velocity is increased for the ranges studied in this work. However, under higher loading velocity the residual carrying capacity after peak load drops more rapidly. Additionally, the axial compression ratio has little effect on the shear carrying capacity of the beam-column joints, but with the increase of loading velocity, the crack width of concrete in the joint zone becomes narrower. The shear carrying capacity of the joint at higher loading velocity is higher than that calculated with the quasi-static method proposed by the design code. When the dynamic strengths of materials, i.e., concrete and reinforcement, are directly substituted into the design model of current code, it tends to be insufficiently safe.

Synthesis and Evaluation of Variable Temperature-Electrical Resistance Materials Coated on Metallic Bipolar Plates (온도 의존성 가변 저항 발열체로 표면 처리된 금속 분리판 제조 및 평가)

  • Jung, Hye-Mi;Noh, Jung-Hun;Im, Se-Joon;Lee, Jong Hyun;Ahn, Byung Ki;Um, Sukkee
    • 한국신재생에너지학회:학술대회논문집
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    • 2010.11a
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    • pp.73.1-73.1
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    • 2010
  • For the successful cold starting of a fuel cell engine, either internal of external heat supply must be made to overcome the formation of ice from water below the freezing point of water. In the present study, switchable vanadium oxide compounds as variable temperature-electrical resistance materials onto the surface of flat metallic bipolar plates have been prepared by a dip-coating technique via an aqueous sol-gel method. Subsequently, the chemical composition and micro-structure of the polycrystalline solid thin films were analyzed by X-ray diffraction, X-ray fluorescence spectroscopy, and field emission scanning electron microscopy. In addition, it was carefully measured electrical resistance hysteresis loop over a temperature range from $-20^{\circ}C$ to $80^{\circ}C$ using the four-point probe method. The experimental results revealed that the thin films was mainly composed of Karelianite $V_2O_3$ which acts as negative temperature coefficient materials. Also, it was found that thermal dissipation rate of the vanadium oxide thin films partially satisfy about 50% saving of the substantial amount of energy required for ice melting at $-20^{\circ}C$. Moreover, electrical resistances of the vanadium-based materials converge on an extremely small value similar to that of pure flat metallic bipolar plates at higher temperature, i.e. $T{\geq}40^{\circ}C$. As a consequence, experimental studies proved that it is possible to apply the variable temperature-electrical resistance material based on vanadium oxides for the cold starting enhancement of a fuel cell vehicle and minimize parasitic power loss and eliminate any necessity for external equipment for heat supply in freezing conditions.

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A Design Process for Reduction of Pressure Drop of Air-cooled Condenser for Waste Heat Recovery System (폐열 회수 시스템용 공랭식 응축기의 압력 손실 저감 설계)

  • Bae, Sukjung;Heo, Hyungseok;Park, Jeongsang;Lee, Hongyeol;Kim, Charnjung
    • Transactions of the Korean Society of Automotive Engineers
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    • v.21 no.6
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    • pp.81-91
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    • 2013
  • A novel design process of a parallel multi-flow type air-cooled condenser of a dual-loop waste heat recovery system with Rankine steam cycles for improving the fuel efficiency of gasoline automobiles has been investigated focusing on reduction of the pressure drop inside the micro-tubes. The low temperature condenser plays a role to dissipate heat from the system by condensing the low temperature loop working fluid sufficiently. However, the refrigerant has low evaporation temperature enough to recover the waste from engine coolant of about $100^{\circ}C$ but has small saturation enthalpy so that excessive mass flow rate of the LT working fluid, e.g., over 150 g/s, causes enormously large pressure drop of the working fluid to maintain the heat dissipation performance of more than 20 kW. This paper has dealt with the scheme to design the low temperature condenser that has reduced pressure drop while ensuring the required thermal performance. The number of pass, the arrangement of the tubes of each pass, and the positions of the inlet and outlet ports on the header are most critical parameters affecting the flow uniformity through all the tubes of the condenser. For the purpose of the performance predictions and the parametric study for the LT condenser, we have developed a 1-dimensional user-friendly performance prediction program that calculates feasibly the phase change of the working fluid in the tubes. An example is presented through the proposed design process and compared with an experiment.