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	1. Dual solutions in MHD stagnation-point flow and heat transfer of Williamson nanofluid over a nonlinear shrinking sheet
	TANG Shujiang,LI Mingjun
	Mechanics 19 December 2017
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	Abstract:A MHD stagnation-point flow and heat transfer of Williamson nanofluid over a nonlinear shrinking sheet is investigated. The boundary-layer governing equations with a variable induced magnetic field are formulated and reduced to ordinary differential equations. The similar equations are solved numerically using Bvp4c with Matlab, and the dual solutions are found. Interestingly, there exists mc as a critical power-law index for the special dual solutions, in fact, there exists no critical value for the general Williamson nanofluid model. And on the two sides of the critical value, the dimensionless physical quantity will show different trending with the increase of the power low index.
	TO cite this article:TANG Shujiang,LI Mingjun. Dual solutions in MHD stagnation-point flow and heat transfer of Williamson nanofluid over a nonlinear shrinking sheet[OL].[19 December 2017] http://en.paper.edu.cn/en_releasepaper/content/4742888


	2. A Globally Convergent and Closed Analytical Solution of Blasius Equation with its Approximation in Application
	ZHENG JUN
	Mechanics 16 November 2016
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	Abstract:In this paper, a closed and globally convergent Analytical Solution (AS) was finally found for Blasius Equation (BE). The AS is concisely expressed by two power series. We found the inner boundary value of the $2^mathrm{nd}$ order derivative of the unknown function could also be exactly revealed by the convergence criterion, which is about $0.3320554$. Calculation directly based on the truncated AS shew a sound accordance with prior results. A method for approximately using the AS was also provided, even the $2^mathrm{nd}$ order approximation was found sufficiently accurate. Based on the AS, other problems coupled with laminar boundary layer, e.g. heat transfer on a semi-infinite plate with constant temperature could be analytically formulated subsequently. Besides, some higher order features on the wall of the boundary layer could be exactly found by the AS. Surely, positive significance could be also found in the area of differential equations, i.e. a class of nonlinear Ordinary Differential Equations (ODE) similar as BE could be analytically solved and analyzed.
	TO cite this article:ZHENG JUN. A Globally Convergent and Closed Analytical Solution of Blasius Equation with its Approximation in Application[OL].[16 November 2016] http://en.paper.edu.cn/en_releasepaper/content/4710204

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	3. Numerical simulation of slit-vent cylinder flow
	Zhu Rui
	Mechanics 18 July 2016
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	Abstract:The research focuses on the influence of modifications of slit-vent parameters on the flow field of a split-vent cylinder and the modulating effect on vortex shedding frequency. Based on the FLUENT software, the vortices conditions of three different wide aperture slit-vent cylinders (s/d=0.1, 0.15, 0.2) are studied and simulated under five different Reynolds conditions (Re=1500, 3000, 4400, 5600, 7200). A series of fluctuatingly oscillating vortices caused by cylinder boundary layer blowing and suction effect inside the slit-vent cylinder aperture are discovered through CFD (Computational Fluid Dynamics) analysis and simulation. The simulation results also achieve the wake flow vortices' shedding frequencies under different water tunnel speeds for the standard and split-vent cylinders.
	TO cite this article:Zhu Rui. Numerical simulation of slit-vent cylinder flow[OL].[18 July 2016] http://en.paper.edu.cn/en_releasepaper/content/4700719


	4. Dynamics of a self-propulsion particle under different driving modes in a channel flow
	Ouyang Zhenyu,Lin Jianzhong,Ku Xiaoke
	Mechanics 18 May 2016
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	Abstract: In this paper a complete model, i.e., combining the Lattice Boltzmann method with singularity distribution method, is proposed to simulate a self-propulsive particle swimming (translation and rotation) in a channel flow. The Results show that the velocity distribution, based on a statistical scheme, for a self-propulsive particle swimming deviates from Maxwellian distribution and the high-velocity tails are found. The influence of eccentric potential doublet is significant for the translation velocity of the particle. The velocity decay process can be modeled by a double exponential. In addition, no big differences in velocity distribution appear for different translation Reynolds numbers, rotation Reynolds numbers and regular intervals. .
	TO cite this article:Ouyang Zhenyu,Lin Jianzhong,Ku Xiaoke. Dynamics of a self-propulsion particle under different driving modes in a channel flow[OL].[18 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4690865


	5. Convective heat transfer and resistance characteristics of nanofluids with cylindrical particles
	Yuan Fangyang,Lin Jianzhong,Ku Xiaoke
	Mechanics 17 May 2016
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	Abstract:Numerical research on convective heat transfer and resistance characteristics of TiO2/water nanofluids with cylindrical particles in laminar channel flow are performed by solving the governing equations of fluid flow with the additional term of cylindrical nanoparticles, the equation of probability density functions for cylindrical nanoparticle orientation, and general dynamics equation for nanoparticle volume concentration. The non-uniformity of nanoparticle distribution is considered and the effects of both particle volume concentration and Reynolds number on friction factor and local Nusselt number are mainly analyzed. The results show that the friction factor of nanofluid flow increases with an increase in particle volume concentration. And the friction factor decreases with increasing Reynolds number and is not dependent on the volume concentration at high Reynolds numbers. The Nusselt number declines when the Reynolds number decreases, and finally approaches an asymptotic value after the Reynolds number falls to a certain value. The Nusselt number is higher in the entrance region than at the downstream locations, and will become steady at somewhere downstream when the flow is thermally and hydraulically developed.
	TO cite this article:Yuan Fangyang,Lin Jianzhong,Ku Xiaoke. Convective heat transfer and resistance characteristics of nanofluids with cylindrical particles[OL].[17 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4689608


	6. A Investigation on the Lift Mechanism of Ornithopter
	Zhu Rui
	Mechanics 09 May 2016
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	Abstract:Compared with Fixed-wing and Rotating-wing, Flapping wing have integrated functions like lifting ,hovering and driving, but there are some technical difficulties on the development of Flapping wing now. This paper is on the aerodynamical problems of rigid Flapping wing at Low Reynolds Number, and make contributions to lift generating mechanism. The result shows that the rigid Flapping wing will generate lift under the conditions of non-zero angle-of-attack and non-zero free stream.
	TO cite this article:Zhu Rui. A Investigation on the Lift Mechanism of Ornithopter[OL].[ 9 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4686737


	7. A Research on the Shedding Vortex of Flapping Wing
	Zhu Rui
	Mechanics 09 May 2016
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	Abstract:Flapping wing have integrated functions like lifting ,hovering and driving, but manufacturing and design of the Flapping wing need full understand on the aerodynamic characteristics and lift generating mechanism. This paper will do some researches on the shedding vortex of trailing-edge of Flapping wing at the fixed section, which would be helpful to the understand of the aerodynamic characteristics and lift generating mechanism. The results shows that the researches on maximum value of vortex's circulation is significant to the lift generating.
	TO cite this article:Zhu Rui. A Research on the Shedding Vortex of Flapping Wing[OL].[ 9 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4686762


	8. Molecular dynamics simulations of nanoscale Poiseuille flow
	Hu Haibao,Bao Luyao
	Mechanics 29 October 2014
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	Abstract:The studies about microcosmic flow behavior on hydrophobic surfaces are important for exploring the drag reduction mechanism in detail. To elucidate the slip behavior of nanoscale Poiseuille flow with different wettability boundary, we have investigated parametrically the effects of wall-fluid interaction and driving force on the slippage, using the nonequilibrium molecular dynamics simulation method. The results obtained show that the average velocity and slip length firstly increase and then decrease with the increase of wall fluid interaction, which are quite strange to the common notion. And an underlying molecular-kinetic mechanism about this phenomenon is implied. Meanwhile the results of various driving forces also reveal that driving force affects density distributions slightly, but velocity distributions and slip lengths significantly in the hydrophobic nanochannel.
	TO cite this article:Hu Haibao,Bao Luyao. Molecular dynamics simulations of nanoscale Poiseuille flow[OL].[29 October 2014] http://en.paper.edu.cn/en_releasepaper/content/4613937


	9. An approach for the numerical simulation of ultra-high speed compressible supercavitating flows
	Ying Chen,Chuanjing Lu,Xin Chen,Jie Li,Jiayi Cao
	Mechanics 04 July 2014
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	Abstract:Ultra-high speed projectile running in water with the velocity close to the speed of sound usually causes large supercavity. For the computation of such transonic cavitating flows, a high-speed model reflecting the compressibility of both the liquid and the vapor phases is suggested in this paper. The model is achieved within a self-developed numerical solver and well used to simulate the ultra-high speed subsonic supercavitating flows. An improved TAIT equation corrected with local temperature is adopted as the equation of state (EOS) for the liquid phase, and the Peng-Robinson EOS is used for the vapor phase. A cubic nonlinear eddy viscosity turbulence model (NLEVM) is introduced to provide better treatment on the anisotropic turbulence stresses in the large-scaled swirling flow structure inside the cavity. The ultra-high speed (Ma=0.7) supercavitating flows around disk cavitator and cylindrical object are investigated and compared with the results in low speed (Ma=0.007) condition. The flow variables are reasonably predicted, and the cavity profiles are compared to be close to the experimental empirical formula. An important conclusion in the compressible cavitating flow theory is verified by the numerical result that, at any specific cavitation number the cavity's size and the drag coefficient both increase along with the rise of Mach number. On the contrary, it is found as well that the cavity's slenderness ratio decreases when Mach number goes up. It indicates that the compressibility has different influences on the length and the radius of the supercavity.
	TO cite this article:Ying Chen,Chuanjing Lu,Xin Chen, et al. An approach for the numerical simulation of ultra-high speed compressible supercavitating flows[OL].[ 4 July 2014] http://en.paper.edu.cn/en_releasepaper/content/4603442


	10. Theoretic Solutions of One Directional Flow in Circular Tube
	Xiao Jianhua,Wang Jingjing
	Mechanics 22 April 2014
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	Abstract:Theoretic solutions are studied to answer the laminar-turbulence transition conditions for one-directional flow. The geometrical equations, strain rate components, and motion equations are formulated by rational mechanics equipped with geometrical field description of instant deformation. The obtained two typical theoretic solutions of velocity section for constant flow is identical with the classical well-known results, as a important soundness-check for the theoretic treatment. The motion equation for general case is solved for high speed flow to get its theoretic solutions. The results show that: theoretically, the velocity field has four possible solution functions for given initial velocity profile, center line velocity function, and fluid feature parameter. As a natural result, the pressure also has four possible functions determined by corresponding velocity function. As an example, the velocity bifurcation near zero-velocity boundary is obtained. Hence, the spatial self-evolution equation of flow velocity for high speed flow may be exposed.
	TO cite this article:Xiao Jianhua,Wang Jingjing. Theoretic Solutions of One Directional Flow in Circular Tube[OL].[22 April 2014] http://en.paper.edu.cn/en_releasepaper/content/4594351

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