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GLOBAL WEAK SOLUTIONS TO ONE-DIMENSIONAL COMPRESSIBLE VISCOUS HYDRODYNAMIC EQUATIONS
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作者 郭柏灵 席肖玉 《Acta Mathematica Scientia》 SCIE CSCD 2017年第3期573-583,共11页
In this article, we are concerned with the global weak solutions to the 1D com- pressible viscous hydrodynamic equations with dispersion correction δ2ρ((φ(ρ))xxφ′(ρ))x with φ(ρ) = ρα. The model co... In this article, we are concerned with the global weak solutions to the 1D com- pressible viscous hydrodynamic equations with dispersion correction δ2ρ((φ(ρ))xxφ′(ρ))x with φ(ρ) = ρα. The model consists of viscous stabilizations because of quantum Fokker-Planck operator in the Wigner equation and is supplemented with periodic boundary and initial con- ditions. The diffusion term εuxx in the momentum equation may be interpreted as a classical conservative friction term because of particle interactions. We extend the existence result in [1] (α=1/2) to 0 〈 α ≤ 1. In addition, we perform the limit ε→0 with respect to 0 〈 α ≤1/2. 展开更多
关键词 viscous hydrodynamic equations global weak solution dispersion correction periodic boundary and initial conditions
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Two-pion interferometry for viscous hydrodynamic sources
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作者 安飞 苏中乾 张卫宁 《Chinese Physics C》 SCIE CAS CSCD 2012年第5期410-422,共13页
The space-time evolution of the (1+1)-dimensional viscous hydrodynamics with an initial quarkgluon plasma (QGP) produced in ultrarelativistic heavy ion collisions is studied numerically. The particleemitting sour... The space-time evolution of the (1+1)-dimensional viscous hydrodynamics with an initial quarkgluon plasma (QGP) produced in ultrarelativistic heavy ion collisions is studied numerically. The particleemitting sources undergo a crossover transition from the QGP to hadronic gas. We take into account a usual shear viscosity for the strongly coupled QGP as well as the bulk viscosity which increases significantly in the crossover region. The two-pion Hanbury-Brown-Twiss (HBT) interferometry for the viscous hydrodynamic sources is performed. The HBT analyses indicate that the viscosity effect on the two-pion HBT results is small if only the shear viscosity is taken into consideration in the calculations. The bulk viscosity leads to a larger transverse freeze-out configuration of the pion-emitting sources, and thus increases the transverse HBT radii. The results of the longitudinal HBT radius for the source with Bjorken longitudinal scaling are consistent with the experimental data. 展开更多
关键词 two-pion interferometry viscous hydrodynamic sources bulk viscosity shear viscosity
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Pseudo-rapidity distribution from a perturbative solution of viscous hydrodynamics for heavy ion collisions at RHIC and LHC
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作者 Ze-Fang Jiang C.B.Yang +1 位作者 Chi Ding Xiang-Yu Wu 《Chinese Physics C》 SCIE CAS CSCD 2018年第12期19-24,共6页
The charged-particle final state spectrum is derived from an analytic perturbative solution for relativistic viscous hydrodynamics. By taking into account the longitudinal acceleration effect in relativistic viscous h... The charged-particle final state spectrum is derived from an analytic perturbative solution for relativistic viscous hydrodynamics. By taking into account the longitudinal acceleration effect in relativistic viscous hydrody namics, the pseudorapidity spectrum describes the nucleus-nucleus colliding systems at RHIC and the LHC well. Based on both the extracted longitudinal acceleration parameter λ^* and a phenomenological description of λ^*, the charged-particle pseudorapidity distributions for √SNN= 5.44 TeV Xe+Xe collisions are computed from the final state expression in a limited space-time rapidity ~/8 region. 展开更多
关键词 viscous hydrodynamics final state observable pseudorapidity distributions longitudinal acceleration effect xenon+xenon collisions
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Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs
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作者 Ze-Fang Jiang Duan She +1 位作者 C.B.Yang Defu Hou 《Chinese Physics C》 SCIE CAS CSCD 2020年第8期164-171,共8页
The solutions of the relativistic viscous hydrodynamics for longitudinally expanding fireballs are investig-ated with the Navier-Stokes theory and Israel-Stewart theory.The energy and the Euler conservation equations ... The solutions of the relativistic viscous hydrodynamics for longitudinally expanding fireballs are investig-ated with the Navier-Stokes theory and Israel-Stewart theory.The energy and the Euler conservation equations for the viscous fluid are derived in Rindler coordinates,by assuming that the longitudinal expansion effect is small.Under the perturbation assumption,an analytical perturbation solution for the Navier-Stokes approximation and numerical solutions for the Israel-Stewart approximation are presented.The temperature evolution with both shear viscous ef-fect and longitudinal acceleration effect in the longitudinal expanding framework are presented.The specific temper-ature profile shows symmetric Gaussian shape in the Rindler coordinates.Further,we compare the results from the Israel-Stewart approximation with the results from the Bjorken and the Navier-Stokes approximations,in the pres-ence of the longitudinal acceleration expansion effect.We found that the Israel-Stewart approximation gives a good description of the early stage evolutions than the Navier-Stokes theory. 展开更多
关键词 heavy ion collision longitudinal expanding fireball viscous hydrodynamics Rindler coordinate
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VARIATIONAL PRINCIPLES AND GENERALIZED VARIATIONAL PRINCIPLES IN HYDRODYNAMICS OF VISCOUS FLUIDS 被引量:1
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作者 钱伟长 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1984年第3期1281-1296,共16页
In this paper, the variational principles of hydrodynamic problems for the incompressible and compressible viscous fluids are established. These principles are principles of maximum power losses. Their generalized var... In this paper, the variational principles of hydrodynamic problems for the incompressible and compressible viscous fluids are established. These principles are principles of maximum power losses. Their generalized variational principles are also discussed on the basis of Lagrangian multiplier methods. 展开更多
关键词 VARIATIONAL PRINCIPLES AND GENERALIZED VARIATIONAL PRINCIPLES IN hydrodynamicS OF viscous FLUIDS
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EXPONENTIAL DECAY FOR THE VISCOUS BIPOLAR QUANTUM HYDRODYNAMIC MODEL
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作者 Guangwu Wang 《Annals of Applied Mathematics》 2015年第3期329-336,共8页
In this paper, we pay attention to the time-decay rate of the viscous bipolar quantum hydrodynamic (QHD) models for semiconductors. By applying the entropy method, we prove that the solution of the viscous bipolar Q... In this paper, we pay attention to the time-decay rate of the viscous bipolar quantum hydrodynamic (QHD) models for semiconductors. By applying the entropy method, we prove that the solution of the viscous bipolar QHD models tends to the equilibrium state at an exponential decay rate for the multi-dimensional cases. The arguments is based on a series of a priori estimates. 展开更多
关键词 viscous bipolar quantum hydrodynamic exponential time-decay rate
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Induced magnetic field stagnation point flow of nanofluid past convectively heated stretching sheet with Buoyancy effects
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作者 Tanzila Hayat S Nadeem 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第11期360-368,共9页
This paper presents the buoyancy effects on the magneto-hydrodynamics stagnation point flow of an incompressible,viscous,and electrically conducting nanofluid over a vertically stretching sheet.The impacts of an induc... This paper presents the buoyancy effects on the magneto-hydrodynamics stagnation point flow of an incompressible,viscous,and electrically conducting nanofluid over a vertically stretching sheet.The impacts of an induced magnetic field and viscous dissipation are taken into account.Both assisting and opposing flows are considered.The overseeing nonlinear partial differential equations with the associated boundary conditions are reduced to an arrangement of coupled nonlinear ordinary differential equations utilizing similarity transformations and are then illuminated analytically by using the optimal homotopy investigation strategy(OHAM).Graphs are introduced and examined for different parameters of the velocity,temperature,and concentration profile.Additionally,numerical estimations of the skin friction,local Nusselt number,and local Sherwood number are explored using numerical values. 展开更多
关键词 stretching electrically incompressible viscous dissipation ordinary conducting sheet hydrodynamics arrangement
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Pion transverse-momentum spectrum, elliptic flow, and Hanbury-Brown-Twiss interferometry in a viscous granular source model
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作者 Jing Yang Wei-Ning Zhang Yan-Yu Ren 《Chinese Physics C》 SCIE CAS CSCD 2017年第8期78-92,共15页
We examine the evolution of quark-gluon plasma(QGP) droplets with viscous hydrodynamics and analyze the pion transverse-momentum spectrum, elliptic flow, and Hanbury-Brown-Twiss(HBT) interferometry in a granular s... We examine the evolution of quark-gluon plasma(QGP) droplets with viscous hydrodynamics and analyze the pion transverse-momentum spectrum, elliptic flow, and Hanbury-Brown-Twiss(HBT) interferometry in a granular source model consisting of viscous QGP droplets. The shear viscosity of the QGP droplet speeds up and slows down the droplet evolution in the central and peripheral regions of the droplet, respectively. The effect of the bulk viscosity on the evolution is negligible. Although there are viscous effects on the droplet evolution, the pion momentum spectrum and elliptic flow change little for granular sources with and without viscosity. On the other hand,the influence of viscosity on HBT radius Rout is considerable. It makes Rout decrease in the granular source model.We determine the model parameters of granular sources using the experimental data of pion transverse-momentum spectrum, elliptic flow, and HBT radii together, and investigate the effects of viscosity on the model parameters. The results indicate that the granular source model may reproduce the experimental data of pion transverse-momentum spectrum, elliptic flow, and HBT radii in heavy-ion collisions of Au-Au at√s(NN)=200 GeV and Pb-Pb at√s(NN) =2.76 Te V in different centrality intervals. The viscosity of the droplet leads to an increase in the initial droplet radius and a decrease of the source shell parameter in the granular source model. 展开更多
关键词 high-energy heavy-ion collisions pion interferometry elliptic flow granular source viscous hydrodynamics
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Numerical study of roll motion of a 2-D floating structure in viscous flow 被引量:9
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作者 Lifen CHEN Liang SUN +2 位作者 Jun ZANG A.J.HILLIS A.R.PLUMMER 《Journal of Hydrodynamics》 SCIE EI CSCD 2016年第4期544-563,共20页
In the present study,an open source CFD tool,Open FOAM has been extended and applied to investigate roll motion of a 2-D rectangular barge induced by nonlinear regular waves in viscous flow.Comparisons of the present ... In the present study,an open source CFD tool,Open FOAM has been extended and applied to investigate roll motion of a 2-D rectangular barge induced by nonlinear regular waves in viscous flow.Comparisons of the present Open FOAM results with published potential-flow solutions and experimental data have indicated that the newly extended Open FOAM model is very capable of accurate modelling of wave interaction with freely rolling structures.The wave-induced roll motions,hydrodynamic forces on the barge,velocities and vorticity fields in the vicinity of the structure in the presence of waves have been investigated to reveal the real physics involved in the wave induced roll motion of a 2-D floating structure.Parametric analysis has been carried out to examine the effect of structure dimension and body draft on the roll motion. 展开更多
关键词 floating normalized rectangular capable viscous vorticity draft modelling rotating hydrodynamic
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Electropolishing of titanium alloy under hydrodynamic mode 被引量:3
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作者 Pei Huang Junhui Lai +6 位作者 Lianhuan Han Fang-Zu Yang Li-Min Jiang Jian-Jia Su Zhao-Wu Tian Zhong-Qun Tian Dongping Zhan 《Science China Chemistry》 SCIE EI CAS CSCD 2016年第11期1525-1528,共4页
Titanium(Ti) alloys are widely used in aerospace industry due to the low density and high corrosion resistance. However, machining and polishing remain great challenges because of the hardness and chemical stability. ... Titanium(Ti) alloys are widely used in aerospace industry due to the low density and high corrosion resistance. However, machining and polishing remain great challenges because of the hardness and chemical stability. With a home-made electrochemical machining workstation, cyclic voltammetry is performed at a wide potential range of [0 V, 20 V] to record the details of passivation and depassivation processes under a hydrodynamic mode. The results show that the thickness of viscous layer formed on the alloy surface plays a crucial effect on the electropolishing quality. The technical parameters, including the mechanical motion rate, polishing time and electrode gap, are optimized to achieve a surface roughness less than 1.9 nm, which shows a prospective application in the electrochemical machining of Ti and it alloys. 展开更多
关键词 electrochemical machining electropolishing titanium alloy hydrodynamic viscous layer
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