The Hydrodynamic Damping of Microcantilevers in Fluid Flow

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Reyes, Bruno

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2021

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Abstract

High-Speed AFM has seen recent developments and is a useful tool in life science. However, the effect that a high scanning speed has on the hydrodynamic forces acting on the microcantilever has not been explored. In general, flow over an oscillating microcantilever and the effects on the added mass, the forces in phase with the acceleration of the microcantilever, and viscous damping, forces in phase with the velocity, have not been fully investigated. In this work, 2D numerical simulations are performed to investigate the effect that high-speed flow has on the hydrodynamic forces of a microcantilever oscillating in water and far from any surface. The forces in the direction of oscillations are extracted for cases with differing frequencies of oscillations (1kHz �"100kHz) and flow velocities (0 m/s �" 0.5 m/s) with a cantilever width of 30 μm and thickness of 2 μm.The hydrodynamic function is used to model the steady-state fluid forces experienced by the microcantilever and is dependent on the frequency of oscillations in the case where the fluid is initially quiescent. The numerical simulation results for the hydrodynamic function are validated for the quiescent fluid case and the introduction of flow in the direction of the width of the cantilever is simulated and changes in the hydrodynamic function are observed. From the current results, a trend is seen where the added mass decreases and viscous damping increases with increasing flow rates and the degree that these are impacted is dependent on a non-dimensionalized velocity value that takes into consideration the imposed-flow velocity, the width of the cantilever, and the frequency of oscillations.

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