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1. Effect of particle-particle interaction on dielectrophoretic single particle trap | |||
CUI Haihang,SHEN Ping,ZHANG Hongyan | |||
Mechanics 08 February 2014 | |||
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Abstract:Microtrap for single particle has the potential applications in analytical chemistry and biology. Dielectrophoretic (DEP) force is one of the effective manners to manipulate these tiny objects. In order to clarify the effect of electric interaction force on trapping behaviour, we constructed the micro-structure that consisted of one pair of strip electrodes and a sudden contraction flow. By the proof-of-concept experiment, it was found that it was hardly to trap single 5μm polystyrene particle through just adjusting the relative strength of continous nDEP force and hydrodynamic force. Among most of situations, the trapped particles were flushed out at the same time. However, with stronger pulsed nDEP generated by turning on/off DEP at a given time interval, the reliable single particle trap was created. Meanwhile, numerical model involving DEP force, hydrodynamic force and electrostatic interaction force was carried out. The result analyses revealed that, in this structure, the particle-particle interaction force was the same order as DEP force, which resulted in the failure of trapping single particle under the continuous DEP force. For pulsed nDEP force, during "off" period, electric interaction force dispeared for a short time and the velocity difference of two particles located at various positions enlarged the distance between them. When electric field was turned on again, the particle-particle interaction became very weak and some particles became easier to flush. Thus, pulsed nDEP is the better choice to increase the selectivity of trap in DEP-based microfluidic chip. | |||
TO cite this article:CUI Haihang,SHEN Ping,ZHANG Hongyan. Effect of particle-particle interaction on dielectrophoretic single particle trap[OL].[ 8 February 2014] http://en.paper.edu.cn/en_releasepaper/content/4584869 |
2. Computed effects of the number of guide vanes on performance of impulse turbine for OWC system | |||
CUI Ying,LIU Zhen,JIN Jiyuan,SHI Hongda | |||
Mechanics 24 December 2013 | |||
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Abstract:The impulse turbine, as an important component for the second energy conversion of Oscillating Water Column (OWC) wave energy converter, is capable of converting low pressure pneumatic energy into mechanical shaft power in the con-dition of bi-directional flow. As is presented in the previous reports, the effects of guide vanes and rotor geometries, tip clearance and hub-to-tip radio have been investigated with both experimental method and numerical analysis, excepting the effects of the number of guide vanes. The present paper aims to benchmark the numerical simulation results with the experimental data and to explore the effects of the number of guide vanes on performance of impulse turbine with fixed guide vanes for structure optimization with the application of three-dimensional Computational Fluid Dynamics (CFD) analysis. In this work, Gambit 2.4 and Fluent 14.5 are employed to build 3-D models of the turbine with different numbers of guide vanes. As a result, the coherence between computed and experimental data is satisfactory, and the turbine with 30 guide vanes is predicted to obtain a higher efficiency. | |||
TO cite this article:CUI Ying,LIU Zhen,JIN Jiyuan, et al. Computed effects of the number of guide vanes on performance of impulse turbine for OWC system[OL].[24 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4576014 |
3. Theoretic Solutions for Vortex Street behind a Cylinder | |||
XIAO Jianhua | |||
Mechanics 03 December 2013 | |||
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Abstract:Using the inertial velocity field, in commoving dragging coordinator formulation, the instant deformation (deformation in unit time duration) of fluid is formulated. By linear momentum conservation and angular momentum conservation, the generally motion equations are established. They show that: along the streamline, if the instant local rotation angular is invariants, the flow velocity tends decrease. So, the curvature of streamline is increased gradually and finally ended in a center where flow velocity is zero. Through introducing a parameter function defined roughly along streamline, taking the velocity are known quantities, the theoretic solutions for the fluid instant deformation (flow behind circular cylinder) are obtained. Therefore, a set of form solution for digital calculations are established. These theoretic results are valuable for understanding the vortex flow. As a natural expectation, it is valuable for exposing the mechanism of turbulence phenomenon. | |||
TO cite this article:XIAO Jianhua. Theoretic Solutions for Vortex Street behind a Cylinder[OL].[ 3 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4572902 |
4. Three-dimensional finite-difference lattice Boltzmann model and its application to inviscid compressible flows with shock waves | |||
HE Yaling,LIU Qing,LI Qing | |||
Mechanics 30 January 2013 | |||
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Abstract:In this paper, a three-dimensional (3D) finite-difference lattice Boltzmann model for simulating compressible flows with shock waves is developed in the framework of the double-distribution-function approach. In the model, a density distribution function is adopted to model the flow field, while a total energy distribution function is adopted to simulate the temperature field. The discrete equilibrium density and total energy distribution functions are derived from the Hermite expansions of the continuous equilibrium distribution functions. The discrete velocity set is obtained by choosing the abscissae of a suitable Gauss-Hermite quadrature with sufficient accuracy. In order to capture the shock waves in compressible flows and improve the numerical accuracy and stability, an implicit-explicit finite-difference numerical technique based on the total variation diminishing flux limitation is introduced to solve the discrete kinetic equations. The model is tested by numerical simulations of some typical compressible flows with shock waves ranging from 1D to 3D. The numerical results are found to be in good agreement with the analytical solutions and/or other numerical results reported in the literature. | |||
TO cite this article:HE Yaling,LIU Qing,LI Qing. Three-dimensional finite-difference lattice Boltzmann model and its application to inviscid compressible flows with shock waves[J]. |
5. Laminar flows of non-Newtonian fluids driven by power-law shear over a porous stretching flat sheet | |||
Xu Hang ,Fan Tao ,Ioan Pop | |||
Mechanics 15 June 2012 | |||
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Abstract:The boundary-layer flows of non-Newtonian power-law fluids adjacent to a stretching plane surface driven by an outer power-law shear in the presence of suction or injection are investigated. The boundary-layer equations are reduced to an ordinary differential equation with algebraical boundary condition at far field. A number of solutions with algebraical decaying behaviour are captured numerically. It is found that such solutions are possible if and only if fw ≥fw min for properly given values of α and β. We further notice that for properly prescribed values of fw and α, solutions can always be found in the range 0≤β≤βmax, where βmax corresponds to lim n→0 f''(η)=0. Besides, it is found that in the range -1/2<α<0, both the suction and the injection solutions could be available. While when -1<α<-1/2, only the solutions of suction type are possible. Furthermore, it is found that no solution is possible when the wall stretching is applied to the porous wall in the case of α=-1. | |||
TO cite this article:Xu Hang ,Fan Tao ,Ioan Pop. Laminar flows of non-Newtonian fluids driven by power-law shear over a porous stretching flat sheet[OL].[15 June 2012] http://en.paper.edu.cn/en_releasepaper/content/4482366 |
6. Mixed convection boundary-layer flow over a wedgeembedded in a stable stratified medium | |||
Xu Hang ,Fan Tao ,Ioan Pop | |||
Mechanics 15 June 2012 | |||
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Abstract:The steady mixed convection boundary-layer flow adjacent to a symmetrical wedge in a stablestratified medium is investigated. An similarity solution if found to be in existence with the assumptions that the surface and the ambient temperature are proportional to x 2m-1 from the leading edge of the surface. A further analysis shows that the similarity method is only valid for m=1/2. Besides, analytical approximationswith high accuracy are given and then match by the numerical techniques. Further, it is found that the homotopy-pade approximations are independent on the auxiliary parameters in HAM theory. Besides, the effects of important physical parameters such as λ, Pr and S on the flow are investigated. It is foundthat the thermal stratification delays the fluid motion in the boundary-layer. | |||
TO cite this article:Xu Hang ,Fan Tao ,Ioan Pop. Mixed convection boundary-layer flow over a wedgeembedded in a stable stratified medium[OL].[15 June 2012] http://en.paper.edu.cn/en_releasepaper/content/4482357 |
7. Lax pair, Darboux transformation and soliton solutions for the (2+1)-dimensional generalization of shallow water wave equation | |||
Wen Xiaoyong,Gao Yitian | |||
Mechanics 11 May 2012 | |||
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Abstract:In this paper, the (2+1)-dimensional generalization of shallow water wave equation which can be used to describe the propagation of ocean waves is analytically investigated. With the aid of symbolic computation, we prove that the (2+1)-dimensional generalization of shallow water wave equation has the Painlev'e property under a certain condition and apply the singular manifold method to constructing its Lax pair. Based on the obtained Lax representation, the Darboux transformation is constructed. The first iterated solution, second iterated solution and an N-soliton solution with an arbitrary function are derived with the resulting Darboux transformation. Relevant properties are graphically illustrated, which might be helpful to understanding the propagation processes for ocean waves on shallow waters. | |||
TO cite this article:Wen Xiaoyong,Gao Yitian. Lax pair, Darboux transformation and soliton solutions for the (2+1)-dimensional generalization of shallow water wave equation[OL].[11 May 2012] http://en.paper.edu.cn/en_releasepaper/content/4478206 |
8. N-Soliton Solutions in terms of Determinant and Inelastic Interaction for Volterra Lattice in Plasmas | |||
Wen Xiaoyong,Gao Yitian,Yu Xin,Xue Yushan,Guo Rui,Qi Fenghua | |||
Mechanics 09 May 2012 | |||
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Abstract:Volterra lattice can describe the Langmiuir waves in plasma dynamics. In this paper, Volterra lattice is investigated via Darboux transformation (DT) technique. N-fold DT and conservation laws for Volterra lattice are constructed basing on its Lax representation. N-soliton solutions in terms of determinant are derived with the resulting DT. Structures of the one-, two- and three-soliton solutions are shown graphically. Inelastic interaction phenomena between/among the two and three solitons are discussed for the Volterra lattice: solitonic shapes and amplitudes have changed after the interaction. | |||
TO cite this article:Wen Xiaoyong,Gao Yitian,Yu Xin, et al. N-Soliton Solutions in terms of Determinant and Inelastic Interaction for Volterra Lattice in Plasmas[OL].[ 9 May 2012] http://en.paper.edu.cn/en_releasepaper/content/4477990 |
9. Integrable hierarchy covering the lattice Burgers equation in fluid mechanics: N-fold Darboux transformation and conservation laws | |||
Wen Xiaoyong,Gao Yitian,Xue Yushan,Guo Rui,Qi Fenghua,Yu Xin | |||
Mechanics 09 May 2012 | |||
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Abstract:Burgers-type equations can describe some phenomena in fluids, plasmas, gas dynamics, traffic, etc. In this paper, an integrable hierarchy covering the lattice Burgers equation is derived from a discrete spectral problem. N-fold Darboux transformation (DT) and conservation laws for the lattice Burgers equation are constructed based on its Lax pair. N-soliton solution in the form of Vandermonde-like determinant is derived via the resulting DT with symbolic computation, structures of those solutions are shown graphically. Coexistence of the elastic-inelastic interaction phenomenon among the three solitons is firstly reported for the lattice Burgers equation, even if the similar phenomenon for certern continuous systems appears in literature. Results in this paper might be helpful for understanding some ecological problems describing the evolution of competing species and the propagation of nonlinear waves in fluids. | |||
TO cite this article:Wen Xiaoyong,Gao Yitian,Xue Yushan, et al. Integrable hierarchy covering the lattice Burgers equation in fluid mechanics: N-fold Darboux transformation and conservation laws[OL].[ 9 May 2012] http://en.paper.edu.cn/en_releasepaper/content/4477987 |
10. Wronskian solutions for a nonisospectral variable-coefficient Korteweg-de Vries equation in fluids and plasmas | |||
Yu Xin,Gao Yitian,Sun Zhiyuan,Gai Xiaoling | |||
Mechanics 18 April 2012 | |||
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Abstract:Korteweg-de Vries (KdV)-type equations appear in the shallow waterwaves, ion-acoustic waves in plasmas, lattice dynamics and so on. Inthis paper, the Wronskian technique is applied to investigate anonisospectral variable-coefficient KdV equation in certainnonuniform media with the relaxation effect. Multi-soliton andmulti-positon/negaton solutions for such equation are constructedand verified corresponding to the different eigenvalues of theSchrodinger spectral problem. Based on the relevant magnitude ofthe wave numbers, the solitonic interaction, such as the quasielastic interaction, coherent structure and fission/fusion, areshown graphically. | |||
TO cite this article:Yu Xin,Gao Yitian,Sun Zhiyuan, et al. Wronskian solutions for a nonisospectral variable-coefficient Korteweg-de Vries equation in fluids and plasmas[OL].[18 April 2012] http://en.paper.edu.cn/en_releasepaper/content/4475816 |
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