While at high pressure, the classical Navier–Stokes equation is suitable for modeling squeeze-film damping, at low pressure, it needs some modification in order to consider fluid rarefaction. According to a common approach, fluid rarefaction can be included in this equation by substituting the standard fluid viscosity with a fictitious quantity, known as effective viscosity, for which different formulations were proposed. In order to identify which expression works better, the results obtained when either formulation is implemented inside the Navier–Stokes equation (that is then solved by both analytical and numerical means) are compared with already available experimental data. At the end, a novel expression is discussed, derived from a computer-assessed optimization procedure.
On the Effective Viscosity Expression for Modeling Squeeze-Film Damping at Low Pressure
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received September 12, 2013; final manuscript received January 14, 2014; published online March 25, 2014. Assoc. Editor: Dae-Eun Kim.
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Pantano, M. F., Pagnotta, L., and Nigro, S. (March 25, 2014). "On the Effective Viscosity Expression for Modeling Squeeze-Film Damping at Low Pressure." ASME. J. Tribol. July 2014; 136(3): 031702. https://doi.org/10.1115/1.4026592
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