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	1. Large scale dynamics in two-dimensional turbulence
	Ran Zheng
	Mechanics 26 October 2009
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	Abstract:Two-dimensional and three-dimensional turbulence have different properties. The entire issue of the large scale dynamics is still a matter of some controversy. In this paper, we developed a simple model for large scale dynamics of free decay two-dimensional turbulence based on the statistical solution of Navier-Stokes equation.
	TO cite this article:Ran Zheng . Large scale dynamics in two-dimensional turbulence [OL].[26 October 2009] http://en.paper.edu.cn/en_releasepaper/content/36118


	2. Study on Pulsation Characteristics of Ventilated Cavitating Flows over a 2D Hydrofoil
	GUO Jianhong
	Mechanics 13 May 2009
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	Abstract:Based on a suite of CFD code, the pulsation characteristics was studied for turbulent cavitating flows over a 2D base-vented symmetric hydrofoil using a pressure-based Navier-Stokes solver coupled with a phase mass fraction transport cavitation model and local linear low-Reynolds-number turbulence model closure. It was found that there existed a critical air supply flow under certain inflow condition. When the gas supply flow exceeded the critical value, the cavity began to pulsate.
	TO cite this article:GUO Jianhong. Study on Pulsation Characteristics of Ventilated Cavitating Flows over a 2D Hydrofoil[OL].[13 May 2009] http://en.paper.edu.cn/en_releasepaper/content/32177

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	3. Analytic study on laminar electroosmotic flow in special-geometry microchannels under zero gravity
	Sun Zhiyuan,Gao Yitian,Yu Xin,Liu Ying
	Mechanics 09 April 2009
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	Abstract:Electroosmotic flow (EOF) is an effctive way for pumping, separating and mixing fluids in microfluidics. In this paper the characteristics of EOF in microchannels with special-designed geometry are investigated. By using the bilinear method and symbolic computation, the complete analytic solutions to the two-dimensional Poisson-Boltzmann equation and Navier-Stokes equation under certain assumptions are obtained, which can be applied to model the electrical double layer 痚ld and the flow 痚ld. Based on the analytic solutions, the influence factors on the velocity 痚ld and the volumetric flowrate,including the channel cross-section, ionic concentration and applied electric 痚ld strength,are taken into consideration. These results might provide valuable insights into the opti-mal design of microchannel geometry to achieve flow control in relevant applications.
	TO cite this article:Sun Zhiyuan,Gao Yitian,Yu Xin, et al. Analytic study on laminar electroosmotic flow in special-geometry microchannels under zero gravity[OL].[ 9 April 2009] http://en.paper.edu.cn/en_releasepaper/content/31201


	4. On the Darboux Transformation of the (2+1)-Dimensional Kadomtsev-Petviashvili Equation
	Wang Lei ,Gao YiTian,Gai XiaoLing ,Meng DeXin
	Mechanics 09 January 2009
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	Abstract:The Kadomtsev-Petviashvili (KP) equation describes such situations as the two-dimensional long water waves, surface waves and internal waves in straits or channels. The Darboux transformation (DT) of the KP equation is investigated in this paper. The previously-published four constrain conditions on the DT are hereby proved to be compatible and can be reduced to one. New representations of the solutions are presented, which are more concise than the existing ones.
	TO cite this article:Wang Lei ,Gao YiTian,Gai XiaoLing , et al. On the Darboux Transformation of the (2+1)-Dimensional Kadomtsev-Petviashvili Equation[OL].[ 9 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27526


	5. Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics
	Zhi-Yuan Sun,Yi-Tian Gao,Xin Yu,Xiang-Hua Meng,Ying Liu
	Mechanics 05 January 2009
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	Abstract:Hereby investigated is the modified Kadomtsev-Petviashvili equation which can be used to describe the wave phenomena in fluid dynamics, plasma physics and electrody- namics. By virtue of the Cole-Hopf transformation and perturbation expansion method,symbolic computation is performed to obtain the single- and multiple-front waves of such equation. Based on the structures of those (2+1)-dimensional solutions, inelastic inter- actions among the multiple-front waves are discussed which might provide us with useful information on the dynamics of the relevant physical fields.
	TO cite this article:Zhi-Yuan Sun,Yi-Tian Gao,Xin Yu, et al. Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics[OL].[ 5 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27309


	6. Painleve Analysis and N-soliton Solutions for the Hirota-Maccari Equation
	Xin Yu,Yi-Tian Gao,Zhi-Yuan Sun,Xiang-Hua Meng,Ying Liu,Qian Feng,Ming-Zhen Wang
	Mechanics 05 January 2009
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	Abstract:As an extended (2+1)-dimensional Hirota model in fluid dynamics, plasma physics and optical fiber communication, the Hirota-Maccari equation is investigated for its integrability in the Painleve sense. With symbolic computation, such equation is bilinearized by the dependent variable transformations obtained from the truncated Painleve expansion at the constant level term. Furthermore, the corresponding N-soliton solutions are given by the Hirota bilinear method. Those solutions are illustrated and to be shown after the collision having the wave velocity and amplitude of each soliton unchanged except its phase shift in the collision region. Finally, another class of solutions with singular points is presented.
	TO cite this article:Xin Yu,Yi-Tian Gao,Zhi-Yuan Sun, et al. Painleve Analysis and N-soliton Solutions for the Hirota-Maccari Equation[OL].[ 5 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27283


	7. A study of upper limit of solid scatters’ density for gray Lattice Boltzmann Method
	Yong-Li Chen,Ke-Qin Zhu
	Mechanics 07 March 2008
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	Abstract:The upper limit of solid scatters’ density , a key parameter for simulation of flows in porous media with a gray Lattice Boltzmann Method, is studied by an analytical way for the infiltration Poiseuille flow between two parallel plates. Analyses of three different gray Lattice Boltzmann schemes, respectively proposed by Balasubramanian et al, Dardis & J. McCloskey and Thorne & Sukop, indicate that the effective domain of Balasubramanian’s scheme is restricted to , Dardis & McCloskey’s scheme is restricted to , and that there is no extra restriction on with Thorne & Sukop’s scheme. These results are obtained for the dimensionless relaxation time . The above analytical results are verified by our numerical simulations. A case relating the flow at the interface of a porous medium is given and the result obtained by the gray LBM agrees with the Brinkman’s prediction well.
	TO cite this article:Yong-Li Chen,Ke-Qin Zhu. A study of upper limit of solid scatters’ density for gray Lattice Boltzmann Method[OL].[ 7 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19127


	8. Critical Reynolds Number for Plane Poiseuille Flow
	Xiao Jianhua
	Mechanics 04 September 2007
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	Abstract:Taking the classical steady laminar solution as the first approximation, the critical Reynolds number problem for plane Poiseuille flow is studied by perturbation method. The solution of Navier-Stokes equation is obtained. Then, the critical Reynolds number is expressed by the steady laminar solution. The result shows that, for plane Poiseuille flow, the critical Reynolds number is a function of position. At the wall position, the critical Reynolds number is roughly 1; near the wall position, the critical Reynolds number is very different; for the centre zone of transportation, the critical Reynolds number is a limit value. However, this limit value is very sensitive about initial condition, which is a fact well known for experiment researchers. Except at wall position, the critical Reynolds number is transportation distance dependent. For very long transportation distance, the critical Reynolds number tends to zero.
	TO cite this article:Xiao Jianhua. Critical Reynolds Number for Plane Poiseuille Flow[OL].[ 4 September 2007] http://en.paper.edu.cn/en_releasepaper/content/14845


	9. Turbulent Flow Caused By the Wall Friction in Circular Pipes
	Xiao Jianhua
	Mechanics 04 September 2007
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	Abstract:For the fluid flow in pipes, when the friction of pipe wall is big enough the velocity near the wall will significantly smaller than the flow velocity in the pipe center. This will cause the material volume elements of fluid rotate along the tangent direction of circular pipe wall. The intrinsic rotation angle of such a local rotation is a function of radium from the pipe center where the viscosity parameter of fluid plays an essential role. This local intrinsic rotation not only produces an additional pressure field, but also produces turbulence when the transportation distance is big enough. This result is gained based on the Chen’s S+R decomposition of deformation gradient theorem. For the fluid flow problem, the related motion equations established on Chen’s rational mechanics theory is used in this paper. The theoretic equations are compared with traditional fluid motion equations. Traditional fluid motion equations (Navier-Stokes equation) are correct for non-symmetric stress fields, but they do not supply reasonable equations for the asymmetric stress fields. This is the essential disadvantage for the tradition fluid dynamics theory to predict the local rotation and the possibility of turbulent flow in the simple case of pipe flow problem. This research shows that the new theoretic formulation may be valuable to explain complex flow phenomena.
	TO cite this article:Xiao Jianhua. Turbulent Flow Caused By the Wall Friction in Circular Pipes[OL].[ 4 September 2007] http://en.paper.edu.cn/en_releasepaper/content/14840


	10. Laminar-Turbulent Transition of Shear Flows
	Xuegang Xie
	Mechanics 18 April 2007
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	Abstract:According to the assumption of local equilibrium of non-equilibrium thermodynamics, each small mass element of a fluid is in local equilibrium under usual conditions, so it possesses not only a velocity of bulk translation but also an angular velocity of bulk rotation. Based on this consideration, a new set of hydrodynamic equations which includes a balance equation for angular momentum is presented. Starting from it, we split the motion of a fluid into two parts: a large-scale motion and a small-scale motion. It is shown that for the large-scale motion, Navier-Stokes equations, and thus all the results derived from it, remain valid. However for the small-scale motion in local high-shear regions, the interaction between the velocity and the angular velocity must be taken into consideration because of the high velocity shear. It is shown by numerical analyses with nonlinear wave interaction models that when the local shear flow becomes unstable, the small-scale disturbances may exhibit chaotic behavior if the velocity shear is large enough, which leads to the production of the turbulent spots in local high-shear regions. Based on the new hydrodynamic equations, we can explain the laminar-turbulent transition of shear flows through secondary instability (with the production of turbulent spots in local high-shear regions) and the direct transition from laminar flow to turbulent flow taking place in some cases (the so-called bypass process) consistently. We can also understand the large-scale quasi-ordered structures and the small-scale stochastic motions in a fully developed turbulent flow.
	TO cite this article:Xuegang Xie. Laminar-Turbulent Transition of Shear Flows[OL].[18 April 2007] http://en.paper.edu.cn/en_releasepaper/content/12291

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