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A Hydrostatic Laser Surface Textured Gas Seal

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Abstract

A theoretical model is developed to study the effect of partial laser surface texturing (LST) on a hydrostatic gas seal. The partial LST provides a mechanism for hydrostatic pressure build up in the sealing dam similar to that of a radial step. The surface texturing parameters are numerically optimized to obtain maximum efficiency in terms of the ratio of load carrying capacity over gas leakage. The performance of the optimum partial LST seal compares favorably with that of a radial step seal.

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Abbreviations

b :

LST length

c :

nominal clearance

d i :

internal seal diameter

d o :

external seal diameter

d p :

textured diameter

E :

efficiency parameter, \(E=\Delta P_{{\rm av}} /Q\)

h :

local film thickness

h max :

maximum film thickness

h eq :

equivalent film thickness

h p :

dimple maximum depth

h pl :

dimple local depth

H :

dimensionless film thickness, H=h/c

l :

dimples column length

p :

local pressure

p a :

ambient pressure

p o :

sealed pressure

P :

dimensionless pressure, P=p/p a

q * x :

leakage in x direction

q x :

leakage per unit length

Q :

dimensionless leakage, \(Q=q_{\rm x} \left/\left( \frac{c^{3}\rho_{\rm a} p_{\rm a}}{12\mu l} \right)\right.\)

r :

imaginary cell half length

R :

imaginary cell dimensionless half length, R=r/l

S p :

area density

W :

dimensionless load carrying capacity

x, z :

Cartesian coordinates

x l , z l :

local Cartesian coordinates

X, Z :

dimensionless coordinates, X=x / l, Z=z / l

α clearance ratio,:

α =h max/c

δ:

dimensionless dimple diameter, δ=2r p/c

ɛ:

dimensionless dimple depth, ɛ =h p/c

γ:

texture portion or step location

μ:

dynamic viscosity

ρa :

density at ambient pressure

av:

average

LST:

laser surface texturing

ps:

parallel surfaces

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Authors and Affiliations

  1. Dept. of Mechanical Engineering, Technion – Israel Institute of Technology, Technion City, Haifa, 32000, Israel

    Y. Feldman, Y. Kligerman & I. Etsion

Authors
  1. Y. Feldman
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  2. Y. Kligerman
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  3. I. Etsion
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Corresponding author

Correspondence to Y. Kligerman.

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Feldman, Y., Kligerman, Y. & Etsion, I. A Hydrostatic Laser Surface Textured Gas Seal. Tribol Lett 22, 21–28 (2006). https://doi.org/10.1007/s11249-006-9066-z

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