This work models the flow around the comb structure of a surface‐ machined microaccelerometer as a two‐dimensional, time‐periodic, incompressible flow with periodic boundary conditions. The corresponding two‐dimensional Navier‐Stokes equation generally has no analytical solution. However, using small‐size scaling, the dominant diffusion mechanism of the micro flow pattern simplifies the governing equations into one set of diffusion equations. Moreover, this investigation presents an analytical approximation combined with the method of separating variables in a complex‐variable domain, to solve the two‐dimensional diffusion equation of the velocity field. The precise analysis of air damping herein could predict the frequency response of the micro comb structures dynamic behavior.
Journal of the Chinese Institute of Engineers=中國工程學刊 25(1), pp.57-65