Aerostatic radial gas bearing — design and calculation

Load, stiffness, restrictor gap and gas flow for an aerostatic radial (journal) gas bearing, using the porous/groove-feed design correlation for L/D ratios from ~0.25 up.

✓ validated against legacyoriginal: /calculators/e14_7.htm
Aerostatic radial gas bearing — design and calculation — original diagram from /calculators/e14_7.htm
Dimensionless load, F*0.20799999999999996
Load capacity, F520 N
Stiffness, S104 N/µm
Restrictor gap, s7.125000000000004 mm
Mass flow, ṁ4.324009237993981 1e-5 kg/s
Volume flow, Q2.181661564992911 l/min

No login lock. Design pressure ratio β=0.5 and eccentricity ratio ε=0.5 are hardcoded in the original (not exposed there), kept as fixed constants here. The three sequential (non-else-if) Fdim conditionals are preserved exactly, including the BD<0.25 override.

Method & references

  • Aerostatic radial (journal) gas bearing — empirical dimensionless load correlation (piecewise-quadratic in L/D, with a flat 0.401 floor below L/D=0.25) plus restrictor flow continuity.
  • Ambient pressure is fixed at 1 bar in the original; the pₛ input is the supply/ambient pressure ratio, not an absolute pressure.

The computation is a literal port of the original client-side JavaScript from /calculators/e14_7.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Aerostatic radial gas bearing — design and calculation — Engineering ABC