Partially grooved hydrostatic journal bearing

Load and flow for a partially grooved, externally pressurized hydrostatic journal bearing with k grooves, by numerical summation around the circumference.

✓ validated against legacyoriginal: /calculators/e13_7.htm

Partially grooved hydrostatic journal bearing — original diagram from /calculators/e13_7.htm

Shaft diameter, DmmSupply pressure, pₛ1e5 PaAmbient pressure, pₐ1e5 PaViscosity, ηPa·sRadial clearance ratio, dR/RNumber of grooves, kBearing width ratio, L₀/DGroove length ratio, L₁/L₀Groove width ratio, B₁/B₀Groove depth ratio, h₁/h₀Eccentricity ratio, ε=e/dR

Load capacity, F(ε)39.892887329213174 N

Flow rate, Q(ε)0.2559312661137581 1e-6 m³/s

Pressure ratio, β₀ (ε=0)0.4478527607361964

Dimensionless load, F'(ε)0.19946443664606586

Dimensionless flow, Q'(ε)5.118625322275161

Method & references

Partially grooved, externally pressurized hydrostatic journal bearing (symmetric double bearing).

The computation is a literal port of the original client-side JavaScript from /calculators/e13_7.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Partially grooved hydrostatic journal bearing — Engineering ABC