Abstract
Surface texturing is used to increase hydrodynamic pressure and reduce friction and wear between gas-lubricated parallel sliding surfaces. The shape, geometry, and density of the patterned microtexture features (“dimples”) play a key role in the tribological performance of the textured slider bearings. The objective of this paper is to compare the load-carrying capacity of commonly used dimple shapes for gas-lubricated textured parallel slider bearings. Six different texture shapes are considered, including spherical, ellipsoidal, circular, elliptical, triangular, and chevron-shaped dimples. The pressure distribution and load-carrying capacity generated by different texture shapes are simulated using the compressible Reynolds equation over a domain containing a column of ten dimples. The texture geometry and density are optimized in terms of maximum load-carrying capacity for each individual dimple shape, as a function of operating parameters such as relative velocity and spacing between the two sliding surfaces. The maximum load-carrying capacity of each individual texture shape—with optimized geometry and density—is then compared relative to each other. It is concluded that the ellipsoidal shape results in the highest load-carrying capacity, and the optimal geometry and density are found to be almost independent of the operating conditions.
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Abbreviations
- a, b :
-
Half-length of the ellipse axes in the x- and y-direction
- c :
-
Minimum spacing between parallel surfaces
- K :
-
Chevron shape ratio (ratio of length of inner and outer equilateral triangle forming the chevron shape) 0 ≤ K ≤ 1
- H(X,Y):
-
Non-dimensional local spacing H = h/c
- h(x,y):
-
Local spacing
- h p :
-
Dimple depth
- N :
-
Number of dimples in a column
- n :
-
Number of intervals in one direction on the square computational grid of a single dimple cell
- P(X,Y):
-
Non-dimensional pressure, P = p/p a
- p(x,y):
-
Bearing pressure
- p 0 :
-
Atmospheric pressure
- p avg :
-
Average bearing pressure
- r 1 :
-
Half-length of the square unit cell
- r p :
-
Dimple characteristic radius
- S p :
-
Texture density
- U :
-
Sliding velocity
- X, Y :
-
Non-dimensional Cartesian coordinates, X = x/r p , Y = y/r p
- x, y :
-
Cartesian coordinates
- ∆x :
-
Computational grid interval length
- δ:
-
Non-dimensional minimum spacing between parallel surfaces, δ = c/2r p
- ε:
-
Dimple aspect ratio for spherical, circular, triangular, and chevron-shaped dimples, ε = h p /2r p
- ε1, ε2 :
-
Dimple aspect ratios for ellipsoidal and elliptical dimples, ε1 = h p /2a, ε2 = h p /2b
- θ:
-
Angle of inclination of the dimple wall due to numerical discretization
- λ:
-
Flow parameter, λ = 3μ U/2r p
- μ:
-
Gas dynamic viscosity
- ρ:
-
Gas density
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Acknowledgments
The authors wish to thank Professor Izhak Etsion from the Technion in Haifa, Israel, for fruitful discussions and insightful comments.
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Qiu, M., Delic, A. & Raeymaekers, B. The Effect of Texture Shape on the Load-Carrying Capacity of Gas-Lubricated Parallel Slider Bearings. Tribol Lett 48, 315–327 (2012). https://doi.org/10.1007/s11249-012-0027-4
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DOI: https://doi.org/10.1007/s11249-012-0027-4