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Research Papers: Hydrodynamic Lubrication

Theoretical Investigation of Couple Stress Squeeze Films in a Curved Circular Geometry

[+] Author and Article Information
Vimala Manivasakan1

 Department of Mathematics, Anna University, Chennai-600025, Tamil Nadu, India e-mail: vimala_manivasakan@annauniv.edu

Govindarajan Sumathi

 Department of Mathematics, Adhiparasakthi Engineering College, Melmaruvathur-603319, Tamil Nadu, India

1

Corresponding author.

J. Tribol 133(4), 041701 (Oct 04, 2011) (8 pages) doi:10.1115/1.4004099 History: Received May 26, 2010; Revised April 03, 2011; Published October 04, 2011; Online October 04, 2011

A theoretical investigation of the laminar squeeze flow of a couple-stress fluid between a flat circular static disk and an axisymmetric curved circular moving disk has been carried out using modified lubrication theory and microcontinuum theory. The combined effects of fluid inertia forces, curvature of the disk and non-Newtonian couple stresses on the squeeze film behavior are investigated analytically. Each of these effects and their combinations show a significant enhancement in the squeeze film behavior, and these are studied through their effects on the squeeze film pressure and the load carrying capacity of the fluid film as a function of time. Two different forms of the gapwidth between the disks have been considered, and the results have been shown to be in good agreement with the existing literature.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Curved squeeze film geometry

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Figure 2

Sum form of the gapwidth

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Figure 3

Curvature profile

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Figure 4

Inertia effects on the radial pressure distribution (concave disk)—case (i)

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Figure 5

Inertia effects on the radial pressure distribution (convex disk)—case (i)

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Figure 6

Curvature effects on squeeze film force—case (i)

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Figure 7

Couple stress effects on the squeeze film force (concave disk)—case (i)

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Figure 8

Couple stress effects on the squeeze film force (convex disk)—case (i)

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Figure 9

Inertia effects on the radial pressure distribution (concave disk)—case (ii)

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Figure 10

Inertia effects on the radial pressure distribution (convex disk)—case (ii)

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Figure 11

Curvature effects on the squeeze film force—case (ii)

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Figure 12

Force versus time—A comparison with Newtonian case (concave disk)—case (ii)

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Figure 13

Force versus time-A comparison with Newtonian case (convex disk)—case (ii)

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