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fluid-solid interaction Model for Hydraulic Reciprocating O-ring Seals

Chinese Journal of Mechanical Engineering 2013年第1期26卷 85-94页

作者： LIAO Chuanjun HUANG Weifeng WANG Yuming SUO Shuangfu LIU Ying State Key Laboratory of Tribology Tsinghua University

Elastohydrodynamic lubrication characteristics of hydraulic reciprocating seals have significant effects on sealing and tribology performances of hydraulic actuators, especially in high parameter hydraulic systems. Only elastic deformations of hydraulic reciprocating seals were discussed, and hydrodynamic effects were neglected in many studies. The physical process of the fluid-solid interaction effect did not be clearly presented in the existing fluid-solid interaction models for hydraulic reciprocating O-ring seals, and few of these models had been simultaneously validated through experiments. By exploring the physical process of the fluid-solid interaction effect of the hydraulic reciprocating O-ring seal, a numerical fluid-solid interaction model consisting of fluid lubrication, contact mechanics, asperity contact and elastic deformation analyses is constructed with an iterative procedure. With the SRV friction and wear tester, the experiments are performed to investigate the elastohydrodynamic lubrication characteristics of the O-ring seal. The regularity of the friction coefficient varying with the speed of reciprocating motion is obtained in the mixed lubrication condition. The experimental result is used to validate the fluid-solid interaction model. Based on the model, The elastohydrodynamic lubrication characteristics of the hydraulic reciprocating O-ring seal are presented respectively in the dry friction, mixed lubrication and full film lubrication conditions, including of the contact pressure, film thickness, friction coefficient, liquid film pressure and viscous shear stress in the sealing zone. The proposed numerical fluid-solid interaction model can be effectively used to analyze the operation characteristics of the hydraulic reciprocating O-ring seal, and can also be widely used to study other hydraulic reciprocating seals.

关键词： reciprocating O-ring seal elastohydrodynamic lubrication finite-element method fluid-solid interaction mixed lubrication,SRV friction and wear tester

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fluid-solid interaction of resistance loss of flexible hose in deep ocean mining

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Journal of Central South University 2012年第11期19卷 3188-3193页

作者：王志饶秋华刘少军 Schools of Mechanics & Engineering Science Zhengzhou University School of Civil Engineering Central South University School of Mechanical and Electrical Engineering Central South University

The resistance loss of transportation was studied and the influences of buoyancy layout,mineral content and elastic modulus of flexible hose were investigated based on three-dimensional finite element model of fluid-solid interaction by ***/MENTAT *** numerical results show that the resistance losses increase with the increase of mineral content Cv and velocity of internal fluid v and decrease with the increase of elastic modulus E of flexible *** buoyancy layout and the velocity of internal fluid have greater impacts on the resistance losses than the elastic modulus of flexible *** order to reduce the resistance losses and improve the efficiency of the deep-ocean mining,Cv and v must be restricted in a suitable range (e.g.10%-25% and 2.5-4 m/s).Effective buoyancy layout (such as Scheme C and D) should be adopted and the suitable material of moderate E should be used for the flexible hose in deep-ocean mining.

关键词： resistance loss flexible hose fluid-solid interaction deep-ocean mining finite element method

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Fractional four-step finite element method for analysis of thermally coupled fluid-solid interaction problems

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Applied Mathematics and Mechanics(English Edition) 2012年第1期33卷 99-116页

作者： A. MALATIP N. WANSOPHARK P. DECHAUMPHAI Computer-Aided Research Unit National Metal and Materials Technology Center Department of Mechanical Engineering Faculty of Engineering Chulalongkorn University

An integrated fluid-thermal-structural analysis approach is presented. In this approach, the heat conduction in a solid is coupled with the heat convection in the viscous flow of the fluid resulting in the thermal stress in the solid. The fractional four-step finite element method and the streamline upwind Petrov-Galerkin （SUPG） method are used to analyze the viscous thermal flow in the fluid. Analyses of the heat transfer and the thermal stress in the solid axe performed by the Galerkin method. The second-order semi- implicit Crank-Nicolson scheme is used for the time integration. The resulting nonlinear equations are lineaxized to improve the computational efficiency. The integrated analysis method uses a three-node triangular element with equal-order interpolation functions for the fluid velocity components, the pressure, the temperature, and the solid displacements to simplify the overall finite element formulation. The main advantage of the present method is to consistently couple the heat transfer along the fluid-solid interface. Results of several tested problems show effectiveness of the present finite element method, which provides insight into the integrated fluid-thermal-structural interaction phenomena.

关键词： fluid-solid interaction finite element method fractional four-step method

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Analysis of a time-dependent fluid-solid interaction problem above a local rough surface

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Science China Mathematics 2020年第5期63卷 887-906页

作者： Changkun Wei Jiaqing Yang Academy of Mathematics and Systems Science Chinese Academy of SciencesBeijing 100190China School of Mathematical Sciences University of Chinese Academy of SciencesBeijing 100049China School of Mathematics and Statistics Xi’an Jiaotong UniversityXi’an 710049China

This paper is concerned with the mathematical analysis of a time-dependent fluid-solid interaction problem associated with a bounded elastic body immersed in a homogeneous air or fluid above a local rough surface. We reformulate the unbounded scattering problem into an equivalent initial-boundary value problem defined in a bounded domain by proposing a transparent boundary condition(TBC) on a hemisphere. Analyzing the reduced problem with the Lax-Milgram lemma and the abstract inversion theorem of the Laplace transform,we prove the well-posedness and stability for the reduced problem. Moreover, an a priori estimate is established directly in the time domain for the acoustic wave and elastic displacement by using the energy method.

关键词： well-posedness stability a priori estimate fluid-solid interaction Laplace transform local rough surface

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A Hybrid fluid-solid interaction Scheme Combining the Multi-Component Diffuse Interface Method and the Material Point Method

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Communications in Computational Physics 2022年第10期32卷 1401-1436页

作者： Meiyan Fu Ruo Li Tiao Lu Chengbao Yao School of Mathematical Sciences Peking UniversityBeijingChina HEDPS&CAPT LMAM&School of Mathematical SciencesPeking UniversityBeijingChina Northwest Institute of Nuclear Technology Xi’anChina

We propose a hybrid scheme combing the diffuse interface method and the material point method to simulate the complex interactions between the multiphase compressible flow and elastoplastic *** multiphase flow is modelled by the multi-component model and solved using a generalized Godunov method in the Eulerian grids,while the elastoplastic solid is solved by the classical material point method in a combination of Lagrangian particles and Eulerian background *** order to facilitate the simulation of fluid-solid interactions,the solid variables are further interpolated to the cell center and coexist with the fluid in the same *** instantaneous relaxation procedure of velocity and pressure is adopted to simulate the momentum and energy transfers between various materials,and to keep the system within a tightly coupled *** numerical examples,including shock tube problem,gasbubble problem,air blast,underwater explosion and high speed impact applications are presented to validate the numerical scheme.

关键词： Multiphase flow elastoplastic solid diffuse interface method material point method fluid-solid interaction

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fluid-solid strong-interaction model of mechanical seals in reactor coolant pumps

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Science China(Technological Sciences) 2011年第9期54卷 2339-2348页

作者： LIAO ChuanJun HUANG WeiFeng SUO ShuangFu LIU XiangFeng WANG YuMing State Key Laboratory of Tribology Tsinghua University Beijing 100049 China

The studies on the mechanisms and performances of the mechanical seals in reactor coolant pumps are very important for the safe operations of the pressurized water reactor power plants. Based on the hydrostatic mechanical seal in reactor coolant pumps, an analytical fluid-solid strong-interaction model is proposed in this paper. According to the design features and operafional principles of the seal, an analytical method to calculate the mechanical deformation of the seal assembly is developed based on the ring deformation theory. A strong-interaction algorithm combining the analysis of the mechanical deformation of the seal assembly and flow field between the seal faceplates is utilized, in which the three kinds of equations including the fluid domain, solid domain and coupling action are constituted in the same equations set and all the variables are solved simul- taneously. So the analytical fluid-solid strong-interaction model used for the seal is built. Moreover, the model is verified by the experimental results. Based on the model, the design parameters of the seal are studied. Two different conditions of the general case and fixed seal leakage rate are discussed respectively, and the regularities that the seal behaviors are affected by the parameters of the holding screws on the clamp rings and seal faceplates are obtained. The research results can provide a theoretical basis for performance analysis, design and assemblage of the seal. Compared to the numerical methods, the proposed model has the unique advantages of high efficiency, convenience and easy application of constraints.

关键词： mechanical seal hydrostatic nuclear pump fluid-solid interaction strong-interaction analytical method

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ADirect-Forcing Immersed Boundary Projection Method for Thermal fluid-solid interaction Problems

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Advances in Applied Mathematics and Mechanics 2023年第1期15卷 1-29页

作者： Cheng-Shu You Po-Wen Hsieh Suh-Yuh Yang Department of Applied Mathematics Feng Chia UniversityXitun DistrictTaichung City 40724Taiwan Department of Applied Mathematics National Chung Hsing UniversitySouth DistrictTaichung City 40227Taiwan Department of Mathematics National Central UniversityJhongli DistrictTaoyuan City 32001Taiwan

In this paper,we develop a direct-forcing immersed boundary projection method for simulating the dynamics in thermal fluid-solid interaction *** underlying idea of the method is that we treat the solid as made of fluid and introduce two virtual forcing ***,a virtual fluid force distributed only on the solid region is appended to the momentum equation to make the region behave like a real solid body and satisfy the prescribed ***,a virtual heat source located inside the solid region near the boundary is added to the energy transport equation to impose the thermal boundary condition on the solid *** take the implicit second-order backward differentiation to discretize the time variable and employ the Choi-Moin projection scheme to split the coupled *** for spatial discretization,second-order centered differences over a staggered Cartesian grid are used on the entire *** advantages of this method are its conceptual simplicity and ease of *** experiments are performed to demonstrate the high performance of the proposed *** tests show that the spatial convergence rates of all unknowns seem to be super-linear in the 1-norm and 2-norm while less than linear in the maximum norm.

关键词： fluid-solid interaction heat transfer direct-forcing method immersed boundary method projection scheme

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A High-Accuracy Curve Boundary Recognition Method Based on the Lattice Boltzmann Method and Immersed Moving Boundary Method

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Computer Modeling in Engineering & Sciences 2024年第9期140卷 2533-2557页

作者： Jie-Di Weng Yong-Zheng Jiang Long-Chao Chen Xu Zhang Guan-Yong Zhang Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment Hunan University of Science and TechnologyXiangtan411201China School of Mechanical Engineering Hunan Chemical Vocational Technology CollegeZhuzhou412000China

Applying numerical simulation technology to investigate fluid-solid interaction involving complex curved bound-aries is vital in aircraft design,ocean,and construction ***,current methods such as Lattice Boltzmann(LBM)and the immersion boundary method based on solid ratio(IMB)have limitations in identifying custom curved ***,IBM based on velocity correction(IBM-VC)suffers from inaccuracies and numerical ***,this study introduces a high-accuracy curve boundary recognition method(IMB-CB),which identifies boundary nodes by moving the search box,and corrects the weighting function in LBM by calculating the solid ratio of the boundary nodes,achieving accurate recognition of custom curve *** addition,curve boundary image and dot methods are utilized to verify *** findings revealed that IMB-CB can accurately identify the boundary,showing an error of less than 1.8%with 500 ***,the flow in the custom curve boundary and aerodynamic characteristics of the NACA0012 airfoil are calculated and compared to *** showed that IMB-CB yields lower lift and drag coefficient errors than IBM-VC,with a 1.45%drag coefficient *** addition,the characteristic curve of IMB-CB is very stable,whereas that of IBM-VC is *** the moving boundary problem,LBM-IMB-CB with discrete element method(DEM)is capable of accurately simulating the physical phenomena of multi-moving particle flow in complex curved *** research proposes a new curve boundary recognition method,which can significantly promote the stability and accuracy of fluid-solid interaction simulations and thus has huge applications in engineering.

关键词： fluid-solid interaction curve boundary recognition method Lattice Boltzmann method immersed moving boundary method

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Numerical investigation of transonic flow over deformable airfoil with plunging motion

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Applied Mathematics and Mechanics(English Edition) 2016年第1期37卷 75-96页

作者： N.NEKOUBIN M.R.H.NOBARI Department of Mechanical Engineering Amirkabir University of Technology

In this article, the transonic inviscid flow over a deformable airfoil with plunging motion is studied numerically. A finite volume method based on the Roe scheme developed in a generalized coordinate is used along with an arbitrary Lagrangian-Eulerian method and a dynamic mesh algorithm to track the instantaneous position of the airfoil. The effects of different governing parameters such as the phase angle, the deformation amplitude, the initial angle of attack, the flapping frequency, and the Mach number on the unsteady flow field and aerodynamic coefficients are investigated in detail. The results show that maneuverability of the airfoil under various flow conditions is improved by the deformation. In addition, as the oscillation frequency of the airfoil increases, its aerodynamic performance is significantly improved.

关键词： transonic flow inviscid flow fluid-solid interaction deformable airfoil,plunge motion Roe scheme

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BIFURCATIONS OF A CANTILEVERED PIPE CONVEYING STEADY fluid WITH A TERMINAL NOZZLE

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Acta Mechanica Sinica 2000年第3期16卷 264-272页

作者：徐鉴黄玉盈 Key Laboratory of solid Mechanics of EMC Tongji UniversityShanghai 200092China Department of Engineering Mechanics Huazhong University of Science & TechnologyWuhan 430074China

This paper studies interactions of pipe and fluid and deals with bifurcations of a cantilevered pipe conveying a steady fluid, clamped at one end and having a nozzle subjected to nonlinear constraints at the free end. Either the nozzle parameter or the flow velocity is taken as a variable parameter. The discrete equations of the system are obtained by the Ritz-Galerkin method. The static stability is studied by the Routh criteria. The method of averaging is employed to investigate the stability of the periodic motions. A Runge-Kutta scheme is used to examine the analytical results and the chaotic motions. Three critical values are given. The first one makes the system lose the static stability by pitchfork bifurcation. The second one makes the system lose the dynamical stability by Hopf bifurcation. The third one makes the periodic motions of the system lose the stability by doubling-period bifurcation.

关键词： nonlinear dynamics bifurcation stability fluid-solid interaction

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