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Investigation of the Interaction Between the Free Surface and A Semi/Shallowly Submerged Underwater Vehicle
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作者 ZHU Xin-yao HAN Yue +1 位作者 YANG Pu ZHANG Dai-yu 《China Ocean Engineering》 SCIE EI CSCD 2024年第5期771-784,共14页
The present study aims to investigate the interaction between the free surface and a semi/shallowly submerged underwater vehicle,especially when the submergence depth h is smaller than 0.75D(D:submarine maximum diamet... The present study aims to investigate the interaction between the free surface and a semi/shallowly submerged underwater vehicle,especially when the submergence depth h is smaller than 0.75D(D:submarine maximum diameter).In this respect,the straight-ahead simulations of the generic SUBOFF underwater vehicle geometry are conducted with constant forward velocities using the Unsteady Reynolds-Averaged Navier-Stokes(URANS)equations with a Shear-Stress Transport(SST)k-ωturbulence model in commercial code Fluent,at submergence depths and Froude numbers ranging from h=0 to h=3.3D and from Fn=0.205 to Fn=0.512,respectively.The numerical models are verified against the existing experimental data.The analysis of the obtained results indicates that in the case of the semi and shallowly submerged underwater vehicle(UV),both the submergence depth and forward velocity have a great effect on the behaviors of hydrodynamic forces acting on the UV.The magnitude of maximum total resistance may reach almost five times the value of resistance exerted on the totally submerged hull.Both the forces acting on the UV and the generated waves when the submergence depth h is smaller than 0.75D are significantly different from those whenr h is larger than 0.75D.The conclusions can be used as reference for future research on near free surface motions of underwater vehicles and the design of small water-plane area twin hull. 展开更多
关键词 free surface effect underwater vehicle hydrodynamic characteristics SUBOFF geometry wave-making computational fluid dynamics(CFD)
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STUDY OF NON-CONTACT MEASUREMENT OF FREE-FORM SURFACES
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作者 徐玉春 张国雄 +2 位作者 解则晓 冯国馨 王春海 《Transactions of Tianjin University》 EI CAS 2001年第4期226-228,共3页
A non contact three dimensional measurement method is presented in this paper.This system consists of a laser triangulation probe,a probe head and a coordinate measuring machine (CMM).The measurement principle of th... A non contact three dimensional measurement method is presented in this paper.This system consists of a laser triangulation probe,a probe head and a coordinate measuring machine (CMM).The measurement principle of the system is discussed,and a system calibration method employing a reference ball is proposed.The geometric model involving four frames is established to calculate the data points based on the reading of the laser probe and position information from the CMM.A measuring experiment for gesso free form surface using this system is carried out. 展开更多
关键词 free form surface coordinate measuring machine PH10 probe head laser triangulation probe CALIBRATION
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A High-Order Conservative Semi-Lagrangian Solver for 3D Free Surface Flows with Sediment Transport on Voronoi Meshes
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作者 Matteo Bergami Walter Boscheri Giacomo Dimarco 《Communications on Applied Mathematics and Computation》 2023年第2期596-637,共42页
In this paper,we present a conservative semi-Lagrangian scheme designed for the numeri-cal solution of 3D hydrostatic free surface flows involving sediment transport on unstruc-tured Voronoi meshes.A high-order recons... In this paper,we present a conservative semi-Lagrangian scheme designed for the numeri-cal solution of 3D hydrostatic free surface flows involving sediment transport on unstruc-tured Voronoi meshes.A high-order reconstruction procedure is employed for obtaining a piecewise polynomial representation of the velocity field and sediment concentration within each control volume.This is subsequently exploited for the numerical integration of the Lagrangian trajectories needed for the discretization of the nonlinear convective and viscous terms.The presented method is fully conservative by construction,since the transported quantity or the vector field is integrated for each cell over the deformed vol-ume obtained at the foot of the characteristics that arises from all the vertexes defining the computational element.The semi-Lagrangian approach allows the numerical scheme to be unconditionally stable for what concerns the advection part of the governing equations.Furthermore,a semi-implicit discretization permits to relax the time step restriction due to the acoustic impedance,hence yielding a stability condition which depends only on the explicit discretization of the viscous terms.A decoupled approach is then employed for the hydrostatic fluid solver and the transport of suspended sediment,which is assumed to be passive.The accuracy and the robustness of the resulting conservative semi-Lagrangian scheme are assessed through a suite of test cases and compared against the analytical solu-tion whenever is known.The new numerical scheme can reach up to fourth order of accu-racy on general orthogonal meshes composed by Voronoi polygons. 展开更多
关键词 Conservative semi-Lagrangian free surface flows Sediment transport High-order reconstruction Hydrostatic model
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Accurate Evaluation of Free-form Surface Profile Error Based on Quasi Particle Swarm Optimization Algorithm and Surface Subdivision 被引量:13
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作者 WEN Xiulan ZHAO Yibing +2 位作者 WANG Dongxia ZHU Xiaochun XUE Xiaoqiang 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2013年第2期406-413,共8页
Although significant progress has been made in precision machining of free-form surfaces recently, inspection of such surfaces remains a difficult problem. In order to solve the problem that no specific standards for ... Although significant progress has been made in precision machining of free-form surfaces recently, inspection of such surfaces remains a difficult problem. In order to solve the problem that no specific standards for the verification of free-form surface profile are available, the profile parameters of free-form surface are proposed by referring to ISO standards regarding form tolerances and considering its complexity and non-rotational symmetry. Non-uniform rational basis spline(NURBS) for describing free-form surface is formulated. Crucial issues in surface inspection and profile error verification are localization between the design coordinate system(DCS) and measurement coordinate system(MCS) for searching the closest points on the design model corresponding to measured points. A quasi particle swarm optimization(QPSO) is proposed to search the transformation parameters to implement localization between DCS and MCS. Surface subdivide method which does the searching in a recursively reduced range of the parameters u and v of the NURBS design model is developed to find the closest points. In order to verify the effectiveness of the proposed methods, the design model is generated by NURBS and the measurement data of simulation example are generated by transforming the design model to arbitrary position and orientation, and the parts are machined based on the design model and are measured on CMM. The profile errors of simulation example and actual parts are calculated by the proposed method. The results verify that the evaluation precision of freeform surface profile error by the proposed method is higher 10%-22% than that by CMM software. The proposed method deals with the hard problem that it has a lower precision in profile error evaluation of free-form surface. 展开更多
关键词 profile error evaluation free-form surface quasi particle swarm optimization surface subdivision
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ADAPTIVE MEASUREMENT METHOD BASED ON CHANGING-CURVATURE FOR UNKNOWN FREE-FORM SURFACE 被引量:1
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作者 WuShixiong WangWen ChenZichen 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2004年第3期385-388,共4页
Current measurement method for unknown free-form surface has low efficiency.To acquire given precision, a lot of null points are measured. Based on change surface curvature, anew measurement planning is put forward. S... Current measurement method for unknown free-form surface has low efficiency.To acquire given precision, a lot of null points are measured. Based on change surface curvature, anew measurement planning is put forward. Sample step is evaluated from the change curvature and thelocally-bounded character of extrapolating curve. Two coefficients, maximum error coefficient andlocal camber coefficient, are used to optimize sampling step. The first coefficient is computed toavoid sampling-point exceeding the measurement range and the second control sampling precision.Compared with the other methods, the proposed planning method can reduce the number of themeasuring-point efficiently for the given precision. Measuring point distributes adaptively by thechange surface curvature. The method can be applied to improve measurement efficiency and accuracy. 展开更多
关键词 free-form surface Adaptive sampling CURVATURE
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Study of the Contact Force in Free-form Surfaces Compliant EDM Polishing by Robot 被引量:2
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作者 ZHAN Jian-ming 1, ZHAO Ji 2, XU Shu-xin 1, ZHU Pei-xi ng 1 (1. College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China 2. Office of Education Administration, Jilin University, Changchun 130012, Chin a) 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第S1期69-,共1页
With an elastic negative pole being driven by ultra so nic vibration and being moved along the surface of work-piece compliantly by ro bot, a new kind of effective EDM, the compliant EDM, cuts the electrically condu c... With an elastic negative pole being driven by ultra so nic vibration and being moved along the surface of work-piece compliantly by ro bot, a new kind of effective EDM, the compliant EDM, cuts the electrically condu ctive materials away and polishes work-piece of free-form surface. The study o f the contact force between the end of polishing tool and the surface of work-p iece is the key for the compliant EDM to study its cutting mechanism and to make better use of it. This paper makes a model for the contact force and verifies i t by experiments and simulation based on the theory of elastic body kinetics and dynamic stress concentration. The research work shows that this contact force i s caused by both the electrical impulsion of EDM and the mechanical force of ult rasonic vibration, the discharge frequency of compliant EDM has a much more clos er connection with the vibration frequency of polishing tool rather than the fre quency of ultrasonic vibration. 展开更多
关键词 ROBOT compliant EDM polishing free-form surfac es contract force
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NEW VISUAL METHOD FOR FREE-FORM SURFACE RECONSTRUCTION 被引量:1
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作者 Xiong Hanwei Artificial Intelligence Institute,Zhejiang University,Hangzhou 310027,China Zhang Xiangwei Guangdong University of Technology 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2002年第1期35-39,共5页
A new method is put forward combining computer vision with computer aidedgeometric design (CAGD) to resolve the problem of free-form surface reconstruction. The surface isfirst subdivided into N-sided Gregory patches,... A new method is put forward combining computer vision with computer aidedgeometric design (CAGD) to resolve the problem of free-form surface reconstruction. The surface isfirst subdivided into N-sided Gregory patches, and a stereo algorithm is used to reconstruct theboundary curves. Then, the cross boundary tangent vectors are computed through reflectance analysis.At last, the whole surface can be reconstructed jointing these patches with G^1 continuity(tangentcontinuity). Examples on synthetic images are given. 展开更多
关键词 Reverse engineering free-form surface design Computer vision
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Research on the Fault Monitoring System in Free-form Surface CNC Machining Based on Wavelet Analysis
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作者 XU Shu-xin 1, ZHAO Ji 2, ZHAN Jian-ming 1, LE Guan 1 (1. College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China 2. Office of Education Administration, Jilin University, Changchun 130012, Chi na) 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第S1期72-73,共2页
Carrying out experiments and researches on tool bre ak age and undercut of work-piece of free-form surface by using wavelet analysis, both the fault features can be extracted in a special frequency segment of wave let... Carrying out experiments and researches on tool bre ak age and undercut of work-piece of free-form surface by using wavelet analysis, both the fault features can be extracted in a special frequency segment of wave let decompose. According to the feature of transient fault, the author proposes for the first time the automatic determination technology of the threshold by us e of the adaptive filter characteristic of wavelet transform. Based on profound researches on steady fault feature, this dissertation makes an effective token o f steady fault feature by using wavelet energy method, and proposes the new idea to identify cut-in case and cut-out case, thereby successfully gives an uniqu e description quantitatively on the characterization of the variation of fault a nd cutting condition in the monitoring system. 展开更多
关键词 wavelet analysis free-form surfaces CNC mach ining monitoring system
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VISION-BASED MEASUREMENT OF FREE-FORM SURFACES
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作者 Luo Feilu Zhou Jiwei +2 位作者 Ni Guoqi Tao Zemin Yang Qiaoling(Department of Mechantronics and Instrumentation, NUDT, Changsha, 410073) 《国防科技大学学报》 EI CAS CSCD 北大核心 1995年第3期13-19,32,共8页
VISION-BASEDMEASUREMENTOFFREE-FORMSURFACESLuoFeilu;ZhouJiwei;NiGuoqi;TaoZemin;YangQiaoling(DepartmentofMecha... VISION-BASEDMEASUREMENTOFFREE-FORMSURFACESLuoFeilu;ZhouJiwei;NiGuoqi;TaoZemin;YangQiaoling(DepartmentofMechantronicsandInstru... 展开更多
关键词 自由曲面 测量 视觉
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Information Construction Technology of Free-Form Surface Steel Grid
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作者 Tong Lu Ying Liu +3 位作者 Shuai Wang Ke-yang Wu Jin Xia Bang-feng Xi 《Journal of Architectural Research and Development》 2022年第4期23-29,共7页
Taking the construction project of National Network Security Talents and Innovation Base Exhibition Center as an example,the application of building information model in the construction process of free-form surface s... Taking the construction project of National Network Security Talents and Innovation Base Exhibition Center as an example,the application of building information model in the construction process of free-form surface steel structure is analyzed in this paper.The results show that the application of Building Information Modeling(BIM)technology to the construction of free-form surface structure improves the work efficiency of the construction team in multi-disciplinary collaboration,surface component manufacturing,and construction process design,and subsequently improves the construction speed and construction quality. 展开更多
关键词 BIM free surface Steel structure Construction technology Informationization
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Real-time accurate Free-Form Deformation in terms of triangular Bézier surfaces
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作者 CUI Yuan-min FENG Jie-qing 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2014年第4期455-467,共13页
We implemented accurate FFD in terms of triangular Bezier surfaces as matrix multiplications in CUDA and rendered them via OpenGL. Experimental results show that the proposed algorithm is more efficient than the previ... We implemented accurate FFD in terms of triangular Bezier surfaces as matrix multiplications in CUDA and rendered them via OpenGL. Experimental results show that the proposed algorithm is more efficient than the previous GPU acceleration algorithm and tessel- lation shader algorithms. 展开更多
关键词 accurate free-form Deformation GPU acceleration CUDA triangular B@zier surface.
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SUPPORT SYSTEM FOR FREE SURFACE GRINDING BASED ON PATCH DIVISION
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作者 吴晓君 喜田羲宏 孙树栋 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2005年第4期291-297,共7页
To obtain accurate forms and surfaces in free surface grinding, it is important to provide grinding conditions suitable for a curved surface. A grinding support system for the free surface (GSX-F) is proposed to hel... To obtain accurate forms and surfaces in free surface grinding, it is important to provide grinding conditions suitable for a curved surface. A grinding support system for the free surface (GSX-F) is proposed to help the operator grind a free surface with the high accuracy and the high productivity. To succeed in free surface grinding, the property of a ball type wheel must be known. Therefore, a basic study of free surface grinding with a ball type wheel is carried out based on the grinding center (GC). Some working points for achieving sufficient accuracy in free surface grinding are discussed. GSX-F is constructed using the patch division method and is used to test grinding. Reasonable results are obtained. 展开更多
关键词 grinding center ball type wheel support system free surface grinding patch division
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A Computer Vision Method for 3D Reconstruction of Curves-Marked Free-Form Surfaces
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作者 Xiong Hanwei①② Zhang Xiangwei② ①AI Institute of Zhejiang University, Hangzhou 310027, China ②Mechanic & Electronic Department of Shantou University, Shanton 515063, China) 《Computer Aided Drafting,Design and Manufacturing》 2001年第1期41-47,共7页
Visual method is now broadly used in reverse engineering for 3D reconstruction. The traditional computer vision methods are feature-based, i.e., they require that the objects must reveal features owing to geometry or ... Visual method is now broadly used in reverse engineering for 3D reconstruction. The traditional computer vision methods are feature-based, i.e., they require that the objects must reveal features owing to geometry or textures. For textureless free-form surfaces, dense feature points are added artificially. In this paper, a new method is put forward combining computer vision with CAGD. The surface is subdivided into N-side Gregory patches using marked curves, and a stereo algorithm is used to reconstruct the curves. Then, the cross boundary tangent vector is computed through reflectance analysis. At last, the whole surface can be reconstructed by jointing these patches with 1Gcontinuity. 展开更多
关键词 Reverse engineering free-form surface design Computer vision
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MXene-Based Quantum Dots Optimize Hydrogen Production via Spontaneous Evolution of Cl-to O-Terminated Surface Groups 被引量:1
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作者 Yuhua Liu Xiaoyu Zhang +5 位作者 Wei Zhang Xin Ge Yan Wang Xu Zou Xinyan Zhou Weitao Zheng 《Energy & Environmental Materials》 SCIE EI CAS CSCD 2023年第6期251-258,共8页
MXene quantum dots(MQDs)offer wide applications owing to the abundant surface chemistry,tunable energy-level structure,and unique properties.However,the application of MQDs in electrochemical energy conversion,includi... MXene quantum dots(MQDs)offer wide applications owing to the abundant surface chemistry,tunable energy-level structure,and unique properties.However,the application of MQDs in electrochemical energy conversion,including hydrogen evolution reaction(HER),remains to be realized,as it remains a challenge to precisely control the types of surface groups and tune the structure of energy levels in MQDs,owing to the high surface energy-induced strong agglomeration in post-processing.Consequently,the determination of the exact catalytically active sites and processes involved in such an electrocatalysis is challenging because of the complexity of the synthetic process and reaction conditions.Herein,we demonstrated the spontaneous evolution of the surface groups of the Ti_(2)CT_(x)MQDs(x:the content of O atom),i.e.,replacement of the-Cl functional groups by O-terminated ones during the cathode reaction.This process resulted in a low Gibbs free energy(0.26 eV)in HER.Our steady Ti_(2)CO_(x)/Cu_(2)O/Cu foam systems exhibited a low overpotential of 175 mV at 10 mA cm^(-2)in 1 M aq.KOH,and excellent operational stability over 165 h at a constant current density of-10 mA cm^(-2). 展开更多
关键词 HF free hydrogen evolution MXene quantum dots surface group
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Numerical study of three-dimensional free surface dynamics 被引量:10
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作者 Baozeng Yue Zhaolin Wang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2006年第2期120-126,共7页
The dynamic problem of three-dimensional free surface is numerically studied in this paper. The ALE (Arbitrary Lagrange-Euler) kinematic description is introduced into the control equation system. The ALE descriptio... The dynamic problem of three-dimensional free surface is numerically studied in this paper. The ALE (Arbitrary Lagrange-Euler) kinematic description is introduced into the control equation system. The ALE description method is used to track free surface. Accurate formulations for calculating the normal vector on the free surface are presented. The discrete numerical equations by finite element method are developed by Galerkin weighted residual method. The boundary condition about free-surface tension is represented in the form of weak integration that can be computed by a differential geometry method derived in the present paper. The effect of contact angle is incorporated in the numerical algorithm. Furthermore, the numerical computations are performed and the comparison between computational and analytical results validated the effectiveness of the method. The results of this paper provide a fundamental understandings of the dynamics of liquid free surfaces, in which the surface tension and contact angle boundary conditions are taken into account. Finally, numerical simulation of largescale amplitude sloshing of liquid in a cylindrical container is performed and a numerical analysis of the effect of an annular ring-shaped rigid damping baffle on liquid sloshing oscillations in a cylindrical tank is also carried out. 展开更多
关键词 free surface surface tension Numerical simulation Finite element
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A CIP-Based Numerical Simulation of Free Surface Flow Related to Freak Waves 被引量:4
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作者 赵西增 《China Ocean Engineering》 SCIE EI CSCD 2013年第6期719-736,共18页
An enhanced numerical model for simulating two-dimensional incompressible viscous flow with distorted free surface is reported. The numerical simulation is carried out through the CIP (Constrained Interpolation Prof... An enhanced numerical model for simulating two-dimensional incompressible viscous flow with distorted free surface is reported. The numerical simulation is carried out through the CIP (Constrained Interpolation Profile)-based method, which is described in the paper. A more accurate interface capturing scheme, the VOF/WLIC scheme (VOF:Volume-of-Fluid;WLIC:weighed line interface calculation), is adopted as the interface capturing method. To assess the developed algorithm and its versatility, a selection of test problems are examined, i.e. the square wave propagation, the Zalesak’s rigid body rotation, dam breaking problem with and without obstacles, wave sloshing in an excited wave tank and interaction between extreme waves and a floating body. Excellent agreements are obtained when numerical results are compared with available analytical, experimental, and other numerical results. These examples demonstrate that the use of the VOF/WLIC scheme in the free surface capturing makes better results and also the proposed CIP-based model is capable of predicting the freak wave-related phenomena. 展开更多
关键词 distorted free surface CIP method wave breaking VOF method freak wave dam break
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EXAMINATION OF THE SURFACE FREE ENERGY AND ACID-BASE PROPERTIES OF CELLULOSE BY THE COLUMN WICKING TECHNIQUE AND THE CRITICAL PACKING HEIGHT/DENSITY 被引量:4
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作者 沈青 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2004年第1期49-53,共5页
The column wicking technique was applied to estimate the surface free energy of cellulose, the importance of which is to obtain a real effective capillary radius, Reff, initially from the plot of Washburn penetration ... The column wicking technique was applied to estimate the surface free energy of cellulose, the importance of which is to obtain a real effective capillary radius, Reff, initially from the plot of Washburn penetration distance versus time. Since the cellulose sample could not be packed with good reproducibility, therefore, Reff can not be obtained readily from the slope of the plot. A method was developed in this paper by uniting all apparent packing heights with a unique value to deduce a real effective capillary radius. Based on the defined critical packing height related to the critical packing density, the surface free energy and acid-base properties of cellulose Sigma C8002 were estimated. 展开更多
关键词 Column wicking technique CELLULOSE Critical packing height surface free energy
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Three-dimensional numerical simulation of crown spike due to coupling effect between bubbles and free surface 被引量:3
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作者 韩蕊 张阿漫 李帅 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第3期369-381,共13页
The motion of gas bubbles beneath a free surface will lead to a spike of fluid on the free surface. The distance of the bubbles to the free surface is the key factor to different phenomena. When the inception distance... The motion of gas bubbles beneath a free surface will lead to a spike of fluid on the free surface. The distance of the bubbles to the free surface is the key factor to different phenomena. When the inception distance varies in some range, crown phenomenon would happen after the impact of weak buoyancy bubbles, so this kind of spike is defined as crown spike in the present paper. Based on potential flow theory, a three-dimensional numerical model is established to simulate the motion of the free-surface spike generated by one bubble or a horizontal line of two in-phase bubbles. After the downward jet formed near the end of the collapse phase, the simulation of the free surface is performed to study the crown spike without regard to the toroidal bubble's effect. Calculations about the interaction between one bubble and free surface agree well with the experimental results conducted with a high-speed camera, and relative error is within 15%. Crown spike in both single- and two-bubble cases are simulated numerically. Different features and laws of the motion of crown spike, depending on the bubble-boundary distances and the inter-bubble distances, have been investigated. 展开更多
关键词 BUBBLE free surface three-dimensional numerical model crown spike
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Numerical and experimental investigation of rock breaking method under free surface by TBM disc cutter 被引量:11
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作者 ZHANG Xu-hui XIA Yi-min +2 位作者 ZENG Gui-ying TAN Qing GUO Ben 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第9期2107-2118,共12页
To study the rock breaking method under the free surface induced by disc cutter,the rock breaking simulations were first conducted based on the discrete element method,and the dynamic process of rock breaking under th... To study the rock breaking method under the free surface induced by disc cutter,the rock breaking simulations were first conducted based on the discrete element method,and the dynamic process of rock breaking under the free surface was studied including stressed zone,crush zone,crack initiation and propagation.Then the crack propagation conditions,specific energy,etc.under different free surface distance(S)were also investigated combined with linear cutting experiments.The results show that the rock breaking process under the free surface induced by disc cutter is dominated by tension failure mode.There exists a critical S to promote crack propagation to free surface effectively.And this rock breaking method can improve the rock breaking force and breaking efficiency significantly when proper. 展开更多
关键词 free surface tunnel boring machine disc cutter rock breaking method
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Numerical Simulation of Sloshing with Large Deforming Free Surface by MPS-LES Method 被引量:4
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作者 潘徐杰 张怀新 孙学尧 《China Ocean Engineering》 SCIE EI 2012年第4期653-668,共16页
Moving particle semi-implicit (MPS) method is a fully Lagrangian particle method which can easily solve problems with violent free surface. Although it has demonstrated its advantage in ocean engineering application... Moving particle semi-implicit (MPS) method is a fully Lagrangian particle method which can easily solve problems with violent free surface. Although it has demonstrated its advantage in ocean engineering applications, it still has some defects to be improved. In this paper, MPS method is extended to the large eddy simulation (LES) by coupling with a sub-particle-scale (SPS) turbulence model. The SPS turbulence model turns into the Reynolds stress terms in the filtered momentum equation, and the Smagorinsky model is introduced to describe the Reynolds stress terms. Although MPS method has the advantage in the simulation of the free surface flow, a lot of non-free surface particles are treated as free surface particles in the original MPS model. In this paper, we use a new free surface tracing method and the key point is "neighbor particle". In this new method, the zone around each particle is divided into eight parts, and the particle will be treated as a free surface particle as long as there are no "neighbor particles" in any two parts of the zone. As the number density parameter judging method has a high efficiency for the free surface particles tracing, we combine it with the neighbor detected method. First, we select out the particles which may be mistreated with high probabilities by using the number density parameter judging method. And then we deal with these particles with the neighbor detected method. By doing this, the new mixed free surface tracing method can reduce the mistreatment problem efficiently. The serious pressure fluctuation is an obvious defect in MPS method, and therefore an area-time average technique is used in this paper to remove the pressure fluctuation with a quite good result. With these improvements, the modified MPS-LES method is applied to simulate liquid sloshing problems with large deforming free surface. Results show that the modified MPS-LES method can simulate the large deforming free surface easily. It can not only capture the large impact pressure accurately on rolling tank wall but also can generate all physical phenomena successfully. The good agreement between numerical and experimental results proves that the modified MPS-LES method is a good CFD methodology in free surface flow simulations. 展开更多
关键词 liquid sloshing large deforming free surface MESHLESS moving particle semi-implicit method (MPS) largeeddy simulation (LES)
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