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March 2012

Volume 2, Issue 2, Articles (02xxxx)

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Planar collisionless jet impingement on a specular reflective plate

Chunpei Cai and Chun Zou

Theor. Appl. Mech. Lett. 2, 022001 (2012); http://dx.doi.org/10.1063/2.1202201 (5 pages)

Online Publication Date: March 10, 2012

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This paper presents a fundamental gas-kinetic study on a high speed planar rarefied jet impinging on a flat plate of specular reflections. Based on previous collisionless planar free jet results, it is straightforward to obtain jet impingement flowfield solutions, and jet impingement for specular reflective plate surface properties. Several direct simulation Monte Carlo simulation results are provided and they validate these analytical solutions of rarefied planar jet flows. The results can find applications in many disciplines, such as materials processing, molecular beams, and space engineering.

Evolution of three-dimensional cavitation following water entry of an inclined cylinder

Zhaoyu Wei and Xiuhua Shi

Theor. Appl. Mech. Lett. 2, 022002 (2012); http://dx.doi.org/10.1063/2.1202202 (3 pages)

Online Publication Date: March 10, 2012

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The water entry of an inclined cylinder is firstly studied experimentally for low Froude number. The cylinder is 50 mm in diameter and 200 mm in length, with a moderate length to diameter ratio. As it is submerged below the water surface, the cavity is fully three-dimensional. Due to the rotation of the cylinder caused by the initial inclined impact, the cavity evolution is quite complicated and a new phenomenon is revealed. The cylinder moves along a curved trajectory in water, which greatly affects the evolution of the cavities. The cavity breaks up into two sub-cavities, and finally collapses because of hydrostatic pressure.

Simulation of flow through porous anode in MFC at higher power density

Weiwei Su, Weiwei Yan, Zhongdi Su, Yang Liu, and Yousheng Xu

Theor. Appl. Mech. Lett. 2, 022003 (2012); http://dx.doi.org/10.1063/2.1202203 (5 pages)

Online Publication Date: March 10, 2012

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Microbial fuel cell (MFC) is a novel environmental friendly energy device which has received great attention due to its technology for producing electricity directly from organic or inorganic matter by using bacteria as catalyst. To date, many experiments have been carried out to achieve the maximum power output with advective flow through porous anode to the cathode in the MFC. However, the precise mechanical mechanism of flow through anode and the quantified relationship between electrode spacing and MFC performance are not yet clearly understood. It has been found experimentally that the power output can be increased apparently at certain electrode spacing configuration. Based on these available experimental data, this paper investigates the effect of spacing between electrodes, the Darcy number of porous anode and the Reynolds number on the power production performance of MFC by using lattice Boltzmann method. The numerical simulation results present that the distance between electrodes significantly influences the flow velocity and residence time of the organic matter attached to the anode in the MFC. Moreover, it is found that the Darcy number of porous anode and the Reynolds number can regulate the output efficiency of MFC. These results perform better understanding of the complex phenomena of MFC and will be helpful to optimize MFC design.

Numerical simulations for gas-structure interaction in inflated deployment of folded membrane boom

Jianzheng Wei, Huifeng Tan, Jianxin Yu, and Xingwen Du

Theor. Appl. Mech. Lett. 2, 022004 (2012); http://dx.doi.org/10.1063/2.1202204 (5 pages)

Online Publication Date: March 10, 2012

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It is very important for gas-structure interaction between compressible ideal gas and elastic structure of space folded membrane booms during the inflatable deployment. In order to study this gas-structure interaction problem, Arbitrary Lagrangian-Eulerian (ALE) finite element method was employed. Gas-structure interaction equation was built based on equilibrium integration relationship, and solved by operator split method. In addition, numerical analysis of V-shape folded membrane booms inflated by gas was given, the variation of inner pressure as well as deployment velocities of inflatable boom at different stage were simulated. Moreover, these results are consistent with the experiment of the same boom, which shows that both ALE method and operator split method are feasible and reliable methods to study gas-structure interaction problem.

Onset of instability of a flag in uniform flow

Fangbao Tian, Xiyun Lu, and Haoxiang Luo

Theor. Appl. Mech. Lett. 2, 022005 (2012); http://dx.doi.org/10.1063/2.1202205 (5 pages)

Online Publication Date: March 10, 2012

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This paper numerically and analytically studies the onset of instability of a flag in uniform flow. The three-dimensional (3D) simulation is performed by using an immersed-boundary method coupled with a nonlinear finite element method. The global stability, bistability and instability are identified in the 3D simulations. The Squire's theorem is extended to analyze the stability of the fluid-flag system with 3D initial perturbations. It is found that if a parallel flow around the flag admits an unstable 3D disturbance for a certain value of the flutter speed, then a two-dimensional (2D) disturbance at a lower flutter speed is also admitted. In addition, the growth rate of 2D disturbance is larger than that of the 3D disturbance.

Vortex-induced vibration of pipes conveying fluid using the method of multiple scales

Huliang Dai and Lin Wang

Theor. Appl. Mech. Lett. 2, 022006 (2012); http://dx.doi.org/10.1063/2.1202206 (4 pages)

Online Publication Date: March 10, 2012

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The nonlinear dynamics of supported pipes conveying fluid subjected to vortex-induced vibration is evaluated using the method of multiple scales. Frequency response portraits for different internal fluid velocities under lock-in conditions are obtained and the stability of steady-state responses is discussed. Results show that the internal fluid velocity has a prominent effect on the oscillation amplitude and that the steady-state responses incorporating unstable solutions in the lock-in region are also obtained. In addition, the effects of two kinds of fluctuating lift coefficients on the steady-state responses are compared with each other.
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Theoretical and Applied Mechanics Letters is jointly published by the Chinese Society of Theoretical and Applied Mechanics and American Institute of Physics. The Chinese Society of Theoretical and Applied Mechanics is the sole distributor of the print and electronic versions in Mainland China, and American Institute of Physics is the sole distributor of the print and electronic versions outside Mainland China.

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