Incompressible squeeze-film levitation
M.A.A. Atalla (TU Delft - Medical Instruments & Bio-Inspired Technology)
R. A.J. van Ostayen (TU Delft - Mechatronic Systems Design)
A. Sakes (TU Delft - Medical Instruments & Bio-Inspired Technology)
Michael Wiertlewski (TU Delft - Human-Robot Interaction)
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Abstract
Transverse vibrations can induce the non-linear compression of a thin film of air to levitate objects, via the squeeze-film effect. This phenomenon is well captured by the Reynolds' lubrication theory; however, the same theory fails to describe this levitation when the fluid is incompressible. In this case, the computation predicts no steady-state levitation, contradicting the documented experimental evidence. In this Letter, we uncover the main source of the time-averaged pressure asymmetry in the incompressible fluid thin film, leading the levitation phenomenon to exist. Furthermore, we reveal the physical law governing the steady-state levitation height, which we confirm experimentally.
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