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Research Papers: Hydrodynamic Lubrication

Investigation of Combined Effects of Rotational Inertia and Viscosity–Pressure Dependency on the Squeeze Film Characteristics of Parallel Annular Plates Lubricated by Couple Stress Fluid

[+] Author and Article Information
M. Daliri, D. Jalali-Vahid

Department of Mechanical Engineering,
Sahand University of Technology,
Tabriz 53317-11111, Iran

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received November 23, 2014; final manuscript received February 4, 2015; published online March 31, 2015. Assoc. Editor: George K. Nikas.

J. Tribol 137(3), 031702 (Jul 01, 2015) (6 pages) Paper No: TRIB-14-1285; doi: 10.1115/1.4029796 History: Received November 23, 2014; Revised February 04, 2015; Online March 31, 2015

This study presents combined effects of couple stress fluids and rotational inertia together with considering lubricant viscosity variation with pressure in squeeze film characteristics of parallel annular plates. Squeeze film characteristics are obtained by combined solution of modified Reynolds equation and Stoke's microcontinuum for couple stress fluids with consideration of viscosity variation with pressure. Various cases of couple stress, inertial, and noninertial characteristics with isoviscous and piezoviscous contributions are investigated. The pressure distribution and load-carrying capacity for lubricant film are obtained in a closed form, using a small perturbation method. Furthermore, numerical solution of the film height versus response time is calculated employing the fourth-order Runge–Kutta method. The result shows that the combined effects of couple stresses and viscosity–pressure dependency improve the load-carrying capacity and lengthen the response time, as compared to the classical Newtonian lubricant with constant viscosity. However, increasing rotational inertia parameter decreases squeeze film characteristics.

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Figures

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Fig. 1

Geometry of squeezing-film between annular disks

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Fig. 2

Dimensionless film pressure with the radial coordinate in noninertial case (γ = 0), for different values of l* and G at h* = 0.5 and λ = 0.2

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Fig. 3

Dimensionless film pressure with the radial coordinate for l*= 0.2, G = 0.05, and different values of γ at λ = 0.2, h* = 0.5

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Fig. 4

Variation of dimensionless load-carrying capacity versus couple stress parameter at G = 0.05, λ = 0.2, h*= 0.5, and different values of γ

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Fig. 5

Variation of dimensionless load-carrying capacity versus viscosity–pressure parameter at l*= 0.2, γ = 10, h*= 0.4, and different values of λ

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Fig. 6

Variation of dimensionless load-carrying capacity versus rotational inertial parameter at l*= 0.2, h*= 0.4, and different values of G

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Fig. 7

Variation of dimensionless load-carrying capacity versus the dimensionless radius ratio parameter at G = 0.05, γ = 10, h*= 0.4, and different values of l*

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Fig. 8

Variation of dimensionless load-carrying capacity versus dimensionless film thickness at G=0.07, γ = 10, λ = 0.2, and different values of l*

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Fig. 9

Variation of film height h* with response time t* for different h*under different values of l* for G = 0.07, λ = 0.2, and γ = 10

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