Oscillation of cylinders of rectangular cross section immersed in fluid
Douglas R Brumley, Michelle Willcox, John E Sader
PHYSICS OF FLUIDS | AMER INST PHYSICS | Published : 2010
The ability to calculate flows generated by oscillating cylinders immersed in fluid is a cornerstone in micro- and nanodevice development. In this article, we present a detailed theoretical analysis of the hydrodynamic load experienced by an oscillating rigid cylinder, of arbitrary rectangular cross section, that is immersed in an unbounded viscous fluid. We also consider the formal limit of inviscid flow for which exact analytical and asymptotic solutions are derived. Due to its practical importance in application to the atomic force microscope and nanoelectromechanical systems, we conduct a detailed assessment of the dependence of this load on the cylinder thickness-to-width ratio. We also..View full abstract
The authors would like to thank Igor Bargatin and Michael Roukes for many interesting discussions relating to NEMS devices. This research was supported by the Australian Research Council Grants Scheme.