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        Pull-in Instability Analysis of Electrostatically Actuated Microplate with Rectangular Shape

        Binglei Wang,Shenjie Zhou,Junfeng Zhao,Xi Chen 한국정밀공학회 2011 International Journal of Precision Engineering and Vol.12 No.6

        As the size of the micro-electro-mechanical systems (MEMS) continues to decrease, the classical elasticity continuum theory may be inefficient to describe their mechanical behaviors. By introducing the strain gradient elasticity into the classical Kirchhoff plate theory, the size-dependent model for electrostatically actuated microplate-based MEMS is developed. The sixth-order partial differential equation (PDE), derived with the help of the principle of minimum potential energy, can be numerically solved by utilizing generalized differential quadrature (GDQ) method and pseudo arc-length algorithm. The model, with three material length scale parameters (MLSPs) included, can predict prominent size-dependent normalized pull-in voltage with the reduction of characteristic structural size, especially when the plate dimension is comparable to the MLSP (on the order of microns). This study may be helpful to characterize the mechanical properties of electrostatically actuated MEMS, or guide the design of microplate-based devices for a wide range of potential applications.

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        Mixing of initially stratified miscible fluids in an eccentric stirred tank: Detached eddy simulation and volume of fluid study

        Feng Ling Yang,Shenjie Zhou,Cui Xun Zhang,Gui Chao Wang 한국화학공학회 2013 Korean Journal of Chemical Engineering Vol.30 No.10

        Mixing of two stratified miscible fluids in an eccentric stirred tank agitated by a four pitched-blade turbine was studied by using the detached eddy simulation (DES) model and volume of fluid (VOF) method. The fluids were operated in the transitional and mildly turbulent flow regimes. Interfaces between the two miscible fluids during the mixing processes were captured and mixing times were computed. Effects of the Richardson number and eccentricity on the mixing times were quantificationally analyzed. Results show that the spatial and temporal variations of volume fractions of the fluids can be well captured by the method presented in this study. Mixing time increases with the increase of Richardson number. Effect of eccentricity on mixing time depends on Richardson number and the eccentric agitation scheme is not advisable to use to blend the low-viscosity miscible fluids starting from a stratified state, especially for lower Richardson values.

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        Turbulent flow and mixing performance of a novel six-blade grid disc impeller

        Feng Ling Yang,Shenjie Zhou,Cui Xun Zhang 한국화학공학회 2015 Korean Journal of Chemical Engineering Vol.32 No.5

        A novel six-blade grid disc impeller (RT-G) was designed and the single-phase turbulent flow and mixing in a baffled stirred tank agitated by this impeller were numerically studied by detached eddy simulation (DES) model. For comparison, a standard Rushton impeller (RT) with the same dimension was also investigated. The numerical results were compared with the reported experimental data and good agreements were obtained. Comparisons of the mean velocity, turbulent kinetic energy, power consumption and mixing time of RT and RT-G were performed. Results show that, for the tank stirred with RT-G, the velocity components can be increased in comparison with RT when the same power is consumed. The increase of the turbulent kinetic energy is about 20-30%. Besides, the mixing time for the tank stirred with RT-G is about 11% shorter than that of RT stirred tank operated at the same condition.

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