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Research Papers: Hydrodynamic Lubrication

On the Effective Viscosity Expression for Modeling Squeeze-Film Damping at Low Pressure

[+] Author and Article Information
Maria F. Pantano

Department of Mechanical, Energy and
Management Engineering,
44C, University of Calabria,
Rende 87036 (CS), Italy
e-mail: maria.pantano@unical.it

Leonardo Pagnotta

Department of Mechanical, Energy and
Management Engineering,
44C, University of Calabria,
Rende 87036 (CS), Italy
e-mail: pagnotta@unical.it

Salvatore Nigro

Department of Medical Sciences,
University of Magna Graecia,
Germaneto 88100 (CZ), Italy
e-mail: s.nigro@unicz.it

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.

J. Tribol 136(3), 031702 (Mar 25, 2014) (4 pages) Paper No: TRIB-13-1190; doi: 10.1115/1.4026592 History: Received September 12, 2013; Revised January 14, 2014

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.

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Figures

Grahic Jump Location
Fig. 1

Analytical (a) and numerical (b) values of the damping coefficient with respect to the corresponding experimental data at varying Kn for layout 1

Grahic Jump Location
Fig. 2

Analytical (a) and numerical (b) values of the quality factor with respect to the corresponding experimental data at varying Kn for layout 2

Grahic Jump Location
Fig. 3

Analytical (a) and numerical (b) values of the quality factor with respect to the corresponding experimental data at varying Kn for layout 3

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