Lattice Boltzmann model for simulation of a nano-scanner immersed in ionic dense media. (English) Zbl 1538.76132
Summary: Torsional nano-scanners have a variety of applications in nano/micro-electro-mechanical systems. In this paper, two- and three-dimensional numerical solutions based on the lattice Boltzmann are proposed for simulating the dynamic behavior of an electromechanical torsional nano-scanner. The complete governing equations are modified based on the couple stress theory and developed by considering the effect of the Casimir force. Furthermore, the physics of the system is extended by considering the effects of dissolved electric agents on the dynamic performance of the nano-scanner. The passive/active electrolyte flow behavior with the moving solid boundary is described and simulated using Nernst-Plank-Poisson compensation of the electrolyte flow. The proposed numerical results are validated by comparing them with those available in the literature. Finally, the influence of scale dependency and Casimir force on the nano-scanner’s dynamic performance and pull-in instability are investigated. Also, as torsional nano-scanners might be immersed in ionic media, the impact of ionic concentration on the pull-in voltage of a nano-scanner is investigated. The obtained results demonstrate that increasing the ionic concentration reduces the instability voltage of the nano-scanner considerably.
MSC:
| 76M28 | Particle methods and lattice-gas methods |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 82C40 | Kinetic theory of gases in time-dependent statistical mechanics |
| 82-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistical mechanics |
| 74M05 | Control, switches and devices (“smart materials”) in solid mechanics |
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