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Numerical simulation of fluid induced vibration of graphenes at micron scales. (English) Zbl 1231.82064

Summary: Vibration of a single graphene and a pair of graphenes at micro meter scale induced by air flow is numerically simulated and examined by using a hybrid computational method starting from a microscopic level of description for the graphene. In order to bridge a huge gap in spatial and time scales in their motions, the carbon atoms of the graphene are represented by a small number of coarse grained particles, the fluid motion is described by the lattice Boltzmann equation and the momentum exchange at the boundary is treated by the time averaged immersed boundary method. It is found that a single graphene with attack angle \(60^{^\circ }\) and \(90^{^\circ }\) to the flow direction begins to bend downstream with oscillation after release and tends to attain an equilibrium form, but the oscillation amplitudes for \(30^{^\circ }\) increases in time. Also found is that when the separation distance of a pair of graphenes increases, the oscillation amplitudes become larger and chaotic and they collide each other, and the vorticity fields also tend to develop complex pattern. Strain distribution inside the graphene is also computed. Possibility to use the present system as a flow sensor and further development of the hybrid computational method are discussed.

MSC:

82C80 Numerical methods of time-dependent statistical mechanics (MSC2010)
76M28 Particle methods and lattice-gas methods
65M75 Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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