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Time-domain hydrodynamic analysis of pontoon-plate floating breakwater 被引量:4
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作者 Zhi-jie CHEN Yong-xue WANG +1 位作者 Hua-yang DONG Bin-xin ZHENG 《Water Science and Engineering》 EI CAS 2012年第3期291-303,共13页
The hydrodynamic behaviors of a floating breakwater consisting of a rectangular pontoon and horizontal plates are studied theoretically. The fluid motion is idealized as two-dimensional linear potential flow. The moti... The hydrodynamic behaviors of a floating breakwater consisting of a rectangular pontoon and horizontal plates are studied theoretically. The fluid motion is idealized as two-dimensional linear potential flow. The motions of the floating breakwater are assumed to be two-dimensional in sway, heave, and roll. The solution to the fluid motion is derived by transforming the governing differential equation into the integral equation on the boundary in time domain with the Green's function method. The motion equations of the floating breakwater are established and solved with the fourth-order Runge-Kutta method to obtain the displacement and velocity of the breakwater. The mooring forces are computed with the static method. The computational results of the wave transmission coefficient, the motion responses, and the mooring forces of the pontoon-plate floating breakwater are given. It is indicated that the relative width of the pontoon is an important factor influencing the wave transmission coefficient of the floating breakwater. The transmission coefficient decreases obviously as the relative width of the pontoon increases. The horizontal plates help to reduce the wave transmission over the floating breakwater. The motion responses and the mooring forces of the pontoon-plate floating breakwater are less than those of the pontoon floating breakwater. The mooring force at the offshore side is larger than that at the onshore side. 展开更多
关键词 hydrodynamic analysis pontoon-plate floating breakwater transmission coefficient "motion response mooring force
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Dynamic Analysis of Pipeline Lifting Operations for Different Current Velocities and Wave Heights 被引量:1
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作者 Dapeng Zhang Bowen Zhao Keqiang Zhu 《Fluid Dynamics & Materials Processing》 EI 2023年第3期603-617,共15页
Pipelines are widely used for transporting oil resources in the context of offshore oil exploitation.The pipeline stress-strength analysis is an important stage in related design and ensuing construction techniques.In... Pipelines are widely used for transporting oil resources in the context of offshore oil exploitation.The pipeline stress-strength analysis is an important stage in related design and ensuing construction techniques.In this study,assuming representative work environment parameters,pipeline lifting operations are investigated numerically.More specifically,a time-domain coupled dynamic analysis method is used to conduct a hydrodynamic analysis under different current velocities and wave heights.The results show that proper operation requires the lifting points are reasonably set in combination with the length of the pipeline and the position of the lifting device on the construction ship.The impact of waves on the pipeline is limited,however lifting operations under strong wind and waves should be avoided as far as possible. 展开更多
关键词 PIPELINE OrcaFlex hydrodynamic analysis lifting operation
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HYDRODYNAMIC ANALYSIS AND DESIGN METHOD OF OWC WAVE ENERGY CONVERTORS
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作者 Chen Jia-jing Chen Guo-kun Shipbuilding and Ocean Engineering Department,South China University of Technology,Guangzhou,P.R.China 《Journal of Hydrodynamics》 SCIE EI CSCD 1989年第4期20-26,共7页
In this paper,using potential flow theory and assuming that the pressure in the air cabin is proportional to the vertical velocity of the water column,we establish a hydrodynamic model for OWC wave energy convertors,r... In this paper,using potential flow theory and assuming that the pressure in the air cabin is proportional to the vertical velocity of the water column,we establish a hydrodynamic model for OWC wave energy convertors,resulting in a collection of illustrative plates,from which the behaviour of an OWC and the relation between its parameters are discussed. Optimization theory is used to design an optimum convertor working in irregular waves. It is found that the numerical results fit well the experimental data. 展开更多
关键词 OWC hydrodynamic analysis AND DESIGN METHOD OF OWC WAVE ENERGY CONVERTORS
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Effect of Different Raft Shapes on Hydrodynamic Characteristics of the Attenuator-Type Wave Energy Converter
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作者 WANG Jin WANG Shu-qi +2 位作者 JIANG Qing-dian XU Yun-xin SHI Wei-chao 《China Ocean Engineering》 SCIE EI CSCD 2023年第4期645-659,共15页
A numerical simulation method based on CFD has been established to simulate the fully coupled motion for an atten-uator-type wave energy converter(WEC).Based on this method,a detailed parametric analysis has been cond... A numerical simulation method based on CFD has been established to simulate the fully coupled motion for an atten-uator-type wave energy converter(WEC).Based on this method,a detailed parametric analysis has been conducted to investigate the design of the rafts.The effects of different parameters(wave parameters,structural parameters and PTO parameters)on the hydrodynamic characteristics of the attenuator-type WEC were studied in detail.The results show that in terms of wave parameters,there is an optimal wave period,which makes the relative pitching angle amplitude of the WEC reach the maximum,and the increase of wave height is conducive to the relative pitching angle amplitude of wave energy.Under different wave conditions,the relative pitch angle of the parallelogram raft device is the maximum.In terms of structural parameters,the parallelogram attenuator-type device has the optimal values in different relative directions,different distances and different apex angle,which makes the relative motion amplitude of the device reach the maximum,and the spacing and the apex angle have influence on the motion frequency of the device,while the relative direction has almost no influence on it.In terms of PTO parameters,there is an optimal damping coefficient,which makes the power generation efficiency of the WEC reach the maximum.The research results provide a valuable reference for future research and design of the attenuator-type WEC. 展开更多
关键词 wave energy converter attenuator-type shape hydrodynamic analysis power generation efficiency
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Identifying flow regime in the aquifer of fractured rock system in Germi Chai Basin,Iran
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作者 VAEZIHIR Abdorreza SEPEHRIPOUR Ali TABARMAYEH Mehri 《Journal of Mountain Science》 SCIE CSCD 2024年第2期574-589,共16页
Considering the importance of fractured rock aquifers in the hydrogeologic process,this research aimed to analyze the flow regime,internal degree of karstification,and estimate storage volume in fractured rock aquifer... Considering the importance of fractured rock aquifers in the hydrogeologic process,this research aimed to analyze the flow regime,internal degree of karstification,and estimate storage volume in fractured rock aquifers of the Germi Chai Basin in northwest Iran,which is attributed to its active tectonics,erosion,and the lithological diversity.Given the geological setting,the hypothesis is that this basin is characterized by a high degree of karstification and diffuse or intermediate flow regime leading to variation in discharge flow rate.The hydrodynamic and hadrochemical analysis was conducted on 9 well distributed springs across the basin from 2019 to 2020.The maximum flow rate in most of the springs appeared in the early wet season despite their different levels of fluctuations on the monthly discharge time series.Analyzing the spring recession curve form revealed an aquifer containing multiple micro-regimes withαrecession coefficients and a degree of karstification ranging between 0.001 to 0.06 and 0.55 to 2.61,respectively.These findings indicated a dominant diffuse and intermediate flow system resulting from the development of a high density of fractures in this area.The electrical conductivity of the spring changes inversely proportional to the change in flow discharge,indicating the reasonable hydrological response of the aquifer to rainfall events.Hydrograph analysis revealed that the delay time of spring discharge after rainfall events mostly varies between 10 to 30 days.The total dynamic storage volume of the spring for a given period(2019-2020)was estimated to be approximately 1324 million cubic meters reflecting the long-term drainage potential and high perdurability of dynamic storage.Estimating the maximum and minimum ratio revealed that the springs recharging system in Germi Chai Basin comes under the slow aquifers category.This finding provides valuable insight into the hydrogeological properties of fractured rock aquifers contributing to effective water management strategy. 展开更多
关键词 Fractured rock aquifer hydrodynamic and hadrochemical analysis Germi Chai Basin Recession coefficient
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Dynamic Analysis of A 5-MW Tripod Offshore Wind Turbine by Considering Fluid–Structure Interaction 被引量:3
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作者 ZHANG Li-wei LI Xin 《China Ocean Engineering》 SCIE EI CSCD 2017年第5期559-566,共8页
Fixed offshore wind turbines usually have large underwater supporting structures. The fluid influences the dynamic characteristics of the structure system. The dynamic model of a 5-MW tripod offshore wind turbine cons... Fixed offshore wind turbines usually have large underwater supporting structures. The fluid influences the dynamic characteristics of the structure system. The dynamic model of a 5-MW tripod offshore wind turbine considering the pile-soil system and fluid structure interaction (FSI) is established, and the structural modes in air and in water are obtained by use of ANSYS. By comparing low-order natural frequencies and mode shapes, the influence of sea water on the free vibration characteristics of offshore wind turbine is analyzed. On basis of the above work, seismic responses under excitation by E1-Centro waves are calculated by the time-history analysis method. The results reveal that the dynamic responses such as the lateral displacement of the foundation and the section bending moment of the tubular piles increase substantially under the influence of the added-mass and hydrodynamic pressure of sea water. The method and conclusions presented in this paper can provide a theoretical reference for structure design and analysis of offshore wind turbines fixed in deep seawater. 展开更多
关键词 5-MW tripod offshore wind turbine fluid-structure interaction natural frequency seismic analysis hydrodynamic pressure
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Assessment of pipeline stability in the Gulf of Mexico during hurricanes using dynamic analysis 被引量:3
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作者 Yinghui Tian Bassem Youssef Mark J.Cassidy 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2015年第2期74-79,共6页
Pipelines are the critical link between major offshore oil and gas developments and the mainland. Any inadequate on-bottom stability design could result in disruption and failure, having a devastating impact on the ec... Pipelines are the critical link between major offshore oil and gas developments and the mainland. Any inadequate on-bottom stability design could result in disruption and failure, having a devastating impact on the economy and environment. Predicting the stability behavior of offshore pipelines in hurricanes is therefore vital to the assessment of both new design and existing assets. The Gulf of Mexico has a very dense network of pipeline systems constructed on the seabed. During the last two decades, the Gulf of Mexico has experienced a series of strong hurricanes, which have destroyed, disrupted and destabilized many pipelines. This paper first reviews some of these engineering cases. Following that, three case studies are retrospectively simulated using an in-house developed program. The study utilizes the offshore pipeline and hurricane details to conduct a Dynamic Lateral Stability analysis, with the results providing evidence as to the accuracy of the modeling techniques developed. 展开更多
关键词 Pipeline On-bottom stability Dynamic lateral stability analysis Force-resultant model hydrodynamic load
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规则波作用下不同构型的近海网箱浸没工况数值研究
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作者 Abdul Shareef Shaik Nasar Thuvanismail +1 位作者 Manisha Vijayakumar Pawan Kumar 《哈尔滨工程大学学报(英文版)》 CSCD 2023年第3期445-455,共11页
The present research work concerns about the hydrodynamic behaviors of the open net offshore fish cages of single,double and 4-cage systems subjected to regular sinusoidal waves.The open net semisubmersible rigid cage... The present research work concerns about the hydrodynamic behaviors of the open net offshore fish cages of single,double and 4-cage systems subjected to regular sinusoidal waves.The open net semisubmersible rigid cage is square in shape and analyzed numerically using ANSYS AQWA software.Frequency and time domain analyses are carried out for each case.The hydrodynamic parameters such as added mass,radiation potential damping,motion responses and mooring line tensions are considered as performance indicators to conclude as the best arrangements among three different cages.The single cage and windward side of all cages exhibit identical performance in all hydrodynamic parameters.The leeward side of each cage shows lesser parametric values than the windward side cages.Based on the performance indicators,it is concluded that the grid system containing four cage arrangements provides better performance than three other cage configurations.An experimental model of 1∶75 scale is fabricated and wave flume studies are conducted to validate the present numerical model.The cage is placed at a water depth of 55 cm and subjected to wave heights of 12 cm and 14 cm with wave periods ranging from 0.8 s to 2.2 s with an interval of 0.2 s are considered.The same wave flume boundary conditions are adopted for numerical simulations and results are in good agreement with experimental work results. 展开更多
关键词 hydrodynamic analysis Offshore cages Semisubmersible cages Cage arrangements ANSYS AQWA
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Research on Motion Performance of the Mobile Double-Causeway Pier System 被引量:4
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作者 余建星 田佳 +5 位作者 徐金利 张翼飞 杨晓蓉 谭振东 董文斌 杜尊峰 《China Ocean Engineering》 SCIE EI 2008年第2期267-276,共10页
Mobile offshore double-causeway pier system, a type of seashore unloading equipment, consists of two groups of multiple connected semi-submersible modules. This structure has wide application because most of the middl... Mobile offshore double-causeway pier system, a type of seashore unloading equipment, consists of two groups of multiple connected semi-submersible modules. This structure has wide application because most of the middle or mini type of vessels and ships can be moored to it. Based on the analysis of computational methods of multi-body motion response, a hydrodynamic model is set up and the three-dimensional potential theory in finite depth is adopted to calculate the three-dimensional motion response of this system. The double P-M spectrum is used to analyze the motion response in irregular waves. Different wave directions are specially taken into consideration, due to their various effects to the motion response. Furthermore, the calculated result is compared with that of the experiment, and it is proved that sway, heave, pitch and yaw motion are greatly constrained by mooring system. The comparison also indicates that the model can forecast the motion performance of the target, and that the calculated result can also be used as reference in connector and mooring system design. 展开更多
关键词 offshore mobile pier system multi-floating body potential theory double P-M spectrum hydrodynamic analysis
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Research on the Swing of the Body of Two-Joint Robot Fish 被引量:4
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作者 Ying-xiang Liu Wei-shan Chen Jun-kao Liu 《Journal of Bionic Engineering》 SCIE EI CSCD 2008年第2期159-165,共7页
The disadvantages caused by the swing of a fish body were analyzed. The coordinate system of a two-joint robot fish was built. The hydrodynamic analysis of robot fish was developed. The dynamic simulation of a two-joi... The disadvantages caused by the swing of a fish body were analyzed. The coordinate system of a two-joint robot fish was built. The hydrodynamic analysis of robot fish was developed. The dynamic simulation of a two-joint robot fish was carried out with the ADAMS software. The relationship between the swing of fish body and the mass distribution of robot fish, the relationship between the swing of fish body and the swing frequency of tail, were gained. The impact of the swing of fish body on the kinematic parameters of tail fin was analyzed. Three methods to restrain the swing of fish body were presented and discussed. 展开更多
关键词 robot fish swing of fish body hydrodynamic analysis dynamic simulation
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THE CALCULATION OF IN-LINE FORCE ON A VERTICAL CIRCULAR CYLINDER AND ANALYSIS OF HYDRODYNAMIC COEFFICIENTS C_D AND C_M IN WAVE-CURRENT CO-EXISTING FIELD 被引量:1
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作者 Kang Hai-gui Li Yu-cheng Wang Hong-rong, Dalian University of Technology, Dalian 116024, P.R.China 《Journal of Hydrodynamics》 SCIE EI CSCD 1991年第2期29-41,共13页
The purpose of this paper is to find some better methods for calculating in-line forces on a vertical circular cylinder and for analysing the hydrodynamic coefficients C_D and C_M in wave-current co-existing field. In... The purpose of this paper is to find some better methods for calculating in-line forces on a vertical circular cylinder and for analysing the hydrodynamic coefficients C_D and C_M in wave-current co-existing field. In this pa- per, in order to calculate hydrodynamic forces, the authors try to find a way of applying a great number of the re- sults about C_D and C_M for wave-only field in the case of wave-current co-existing field, and the results about C_D and C_M obtained in regular waves in the ease of irregular waves. Such a way may be of significance in engineering and further research. 展开更多
关键词 THE CALCULATION OF IN-LINE FORCE ON A VERTICAL CIRCULAR CYLINDER AND analysis OF hydrodynamic COEFFICIENTS C_D AND C_M IN WAVE-CURRENT CO-EXISTING FIELD LINE CO
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A generic approach to the dynamical interpretation of ocean-atmosphere processes
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作者 X. San Liang 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2008年第z1期74-92,共19页
This paper summarizes the recent development of a portable self-contained system to unravel the intricate multiscale dynamical processes from real oceanic flows, which are in nature highly nonlinear and intermittent i... This paper summarizes the recent development of a portable self-contained system to unravel the intricate multiscale dynamical processes from real oceanic flows, which are in nature highly nonlinear and intermittent in space and time. Of particular focus are the interactions among largescale, mesoscale, and submesoscale processes.We firsu introduce the concept of scale window, and an orthogonal subspace decomposition technigue called multiscale window transform (MWT). Established on MWT is a rigorous formalism of multiscale transport, perfect transfer, and multiscale conversion, which makes a new methodology, multiscale energy and vorticity analysis (MS-EVA). A direct application of the MS-EVA is the development of a novel localized instability analysis, generalizing the classical notion of hydrodynamic instability to finite amplitude processes on irregularly variable domains. The theory is consistent with the analytical solutions of Eady's model and Kuo's model, the benchmark models of baroclinic instability and barotropic instability; it is further validated with a vortex shedding control problem. We have put it to application with a variety of complicated real ocean problems, which would be otherwise very difficult, if not impossible, to tackle. Briefly shown in this paper include the dynamical studies of a highly variable open ocean front, and a complex coastal ocean circulation. In the former, it is found that underlying the frontal meandering is a convective instability followed by an absolute instability, and correspondingly a rapid spatially amplifying mode locked into a temporally growing mode; in the latter, we see a real ocean example of how upwelling can be driven by winds through nonlinear instability, and how winds may excite the ocean via an avenue which is distinctly different from the classical paradigms. This system is mathematically rigorous, physically robust, and practically straightforward. 展开更多
关键词 Multiscale energy and vorticity analysis multiscale window transform multiscale transport perfect transfer finite-amplitude hydrodynamic instability analysis mean-eddy-turbulence interaction
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Cormorant Webbed-feet Support Water-surface Takeoff:Quantitative Analysis via CFD
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作者 Jinguo Huang Jianhong Liang +2 位作者 Xingbang Yang Hongyu Chen Tianmiao Wang 《Journal of Bionic Engineering》 SCIE EI CSCD 2021年第5期1086-1100,共15页
The bio-inspired aerial–aquatic vehicle off ers attractive perspectives for future intelligent robotic systems.Cormorant’s webbed-feet support water-surface takeoff is a typical locomotion pattern of amphibious wate... The bio-inspired aerial–aquatic vehicle off ers attractive perspectives for future intelligent robotic systems.Cormorant’s webbed-feet support water-surface takeoff is a typical locomotion pattern of amphibious water birds,but its highly maneuverable and agile kinetic behaviors are inconvenient to measure directly and challenging to calculate convergently.This paper presents a numerical Computational Fluid Dynamic(CFD)technique to simulate and reproduce the cormorant's surface takeoff process by modeling the three-dimensional biomimetic cormorant.Quantitative numerical analysis of the fluid flows and hydrodynamic forces around a cormorant’s webbed feet,body,and wings are conducted,which are consistent with experimental results and theoretical verification.The results show that the webbed feet indeed produced a large majority of the takeoff power during the initial takeoff stage.Prior lift and greater angle of attack are generated to bring the body off the water as soon as possible.With the discussion of the mechanism of the cormorant’s water-surface takeoff and the relevant characteristics of biology,the impetus and attitude adjustment strategies of the aerial–aquatic vehicle in the takeoff process are illustrated. 展开更多
关键词 Aerial-aquatic vehicle Cormorant’s takeoff Quantitative hydrodynamic analysis Computational Fluid Dynamics(CFD) Multiphase flow Bionic prototype verification
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NUMERICAL INVESTIGATION ON THE HYDRODYNAMIC PERFORMANCES OF A NEW SPAR CONCEPT 被引量:13
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作者 ZHANG Fan YANG Jian-min LI Run-pei CHEN Gang 《Journal of Hydrodynamics》 SCIE EI CSCD 2007年第4期473-481,共9页
Recently, the spar platform concept develops quickly in the offshore oil and gas exploitations, especially in deep and ultra-deep water, owing to its benign motion performance, excellent stability and adaptation to wi... Recently, the spar platform concept develops quickly in the offshore oil and gas exploitations, especially in deep and ultra-deep water, owing to its benign motion performance, excellent stability and adaptation to wide range of water depth. Many new spar concepts have been put forward with the purpose of reducing fabrication difficulty and cost, while meeting the requirements of exploitation in the meantime Based on the aims mentioned above, a new spar concept was presented in this article and its hydrodynamics both in operating and survival conditions was studied by means of numerical simulation. Basic model tests were also conducted to calibrate the numerical approach. Following aspects are highlighted: (1) new spar concept, (2) global performance of the spar concept and (3) mooring line analysis. 展开更多
关键词 spar platform time-domain coupled analysis hydrodynamic performances
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Characterization of various structures in gas-solid fluidized beds by recurrence quantification analysis 被引量:10
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作者 M.Tahmasebpour R.Zarghami +1 位作者 R.Sotudeh-Gharebagh N.Mostoufi 《Particuology》 SCIE EI CAS CSCD 2013年第6期647-656,共10页
Gas-solid fluidized beds are widely considered as nonlinear and chaotic dynamic systems. Pressure fluc- tuations were measured in a fluidized bed of 0.15 m in diameter and were analyzed using multiple approaches: dis... Gas-solid fluidized beds are widely considered as nonlinear and chaotic dynamic systems. Pressure fluc- tuations were measured in a fluidized bed of 0.15 m in diameter and were analyzed using multiple approaches: discrete Fourier transform (DFT), discrete wavelet transform (DWT), and nonlinear recur- rence quantification analysis (RQA). Three different methods proposed that the complex dynamics of a fluidized bed system can be presented as macro, meso and micro structures. It was found from DFT and DWT that a minimum in wide band energy with an increase in the velocity corresponds to the transition between macro structures and finer structures of the fluidization system. Corresponding transition veloc- ity occurs at gas velocities of 0.3, 0.5 and 0.6 m]s for sands with mean diameters of 150, 280 and 490/~m, respectively. DFT, DWT, and RQA could determine frequency range of0-3.125 Hz for macro, 3. ! 25-50 Hz for meso, and 50-200 Hz for micro structures. The RQA showed that the micro structures have the least periodicity and consequently their determinism and laminarity are the lowest. The results show that a combination of DFT, DWT, and RQA can be used as an effective approach to characterize multi-scale flow behavior in gas-solid fluidized beds. 展开更多
关键词 Fluidization Recurrence quantification analysis Multi-scale Pressure fluctuations Chaos hydrodynamics
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Experimental and numerical study of the adsorption performance of a vortex suction device using water-swirling flow 被引量:2
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作者 ZHU YaWei ZHOU RenGuan +2 位作者 YANG Gang ZHU YanQing HU DeAn 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2020年第6期931-942,共12页
An electrically activated underwater suction device is designed to form an amazing amount of negative pressure by generating water swirling flow,which can make underwater wall-climbing robot stick to the wall surface ... An electrically activated underwater suction device is designed to form an amazing amount of negative pressure by generating water swirling flow,which can make underwater wall-climbing robot stick to the wall surface allowing a ground clearance.For the purpose of a full understanding of the mechanism of the suction device,a series of experimental tests are carried out and a computational fluid dynamics(CFD)model is established.The results show that the suction force F is consistent between experimental tests and simulations.An insight into the flow phenomena of vortex suction device,including spatial velocity and pressure distribution,is given through numerical simulation analysis.Furthermore,the crucial parameters,i.e.,the rotation speedωand gap clearance h,are studied.Then the relationships of F-ωand F-h are clarified.It reveals that with the increasing of rotation speed,the suction force increases quadratically.And with the increasing of gap clearance,the suction force increases firstly and then decreases,so that a reasonable design interval of gap clearance can be got to obtain the required suction force for the engineering applications. 展开更多
关键词 vortex suction device hydrodynamic analysis swirling flow underwater wall-climbing robot CFD
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Sub-leading flow modes in PbPb collisions at (~sNN)^(1/2) = 2.76 TeV from the HYDJET++ model
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作者 P.Cirkovic D.Devetak +2 位作者 M.Dordevic J.Milosevic M.Stojanovic 《Chinese Physics C》 SCIE CAS CSCD 2017年第7期42-51,共10页
Recent LHC results on the appearance of sub-leading flow modes in Pb Pb collisions at 2.76 TeV, related to initial-state fluctuations, are analyzed and interpreted within the HYDJET++ model. Using the newly introduc... Recent LHC results on the appearance of sub-leading flow modes in Pb Pb collisions at 2.76 TeV, related to initial-state fluctuations, are analyzed and interpreted within the HYDJET++ model. Using the newly introduced Principal Component Analysis(PCA) method applied to two-particle azimuthal correlations extracted from the model calculations, the leading and sub-leading flow modes are studied as a function of the transverse momentum(p T) over a wide centrality range. The leading modes of the elliptic(v2^(1)) and triangular(v3^(1)) flow calculated with the HYDJET++ model reproduce rather well the v2 {2} and v3 {2} coefficients measured experimentally using the two-particle correlations. Within the p T 3 Ge V/c range, where hydrodynamics dominates, the sub-leading flow effects are greatest at the highest p T of around 3 Ge V/c. The sub-leading elliptic flow mode(v2^(2)), which corresponds to the n = 2 harmonic, has a small non-zero value and slowly increases from central to peripheral collisions, while the sub-leading triangular flow mode(v3^(2)), which corresponds to the n = 3 harmonic, is even smaller and does not depend on centrality. For n= 2, the relative magnitude of the effect measured with respect to the leading flow mode shows a shallow minimum for semi-central collisions and increases for very central and for peripheral collisions. For the n= 3 case, there is no centrality dependence. The sub-leading flow mode results obtained from the HYDJET++model are in rather good agreement with the experimental measurements of the CMS Collaboration. 展开更多
关键词 hydrodynamics flow initial-state fluctuations principal component analysis HYDJET++
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