Hydrostatic collar bearing, slot feed through orifices — fixed reference geometry

Reference-geometry calculator (40mm outer diameter — fixed, matching the original) for a hydrostatic thrust collar bearing fed via a circumferential groove supplied by discrete orifices. Vary groove/inner diameter, film thickness, pressures and fluid properties.

✓ validated against legacyoriginal: /calculators/c11_5b.htm

Hydrostatic collar bearing, slot feed through orifices — fixed reference geometry — original diagram from /calculators/c11_5b.htm

Groove centerline diameter, 2R₁10⁻³ mInner diameter, 2R₂10⁻³ mGroove width, δ10⁻³ mGroove depth, h₂10⁻³ mFilm thickness, h₀10⁻⁶ mSupply pressure, pₛ10⁶ PaAmbient pressure, pₐ10⁶ PaPressure factor, βViscosity, ηPa·sDensity, ρkg/m³Number of orificesOrifice discharge coefficient, Cᴅ

Load capacity, F116.96 N

Stiffness, S = −dF/dh40.1 10⁶ N/m

Flow rate, Q19.66 10⁻³ l/hr

Orifice diameter, d0.013 10⁻³ m

Pump power, N2.184 10⁻³ W

Dimensionless load capacity, F′0.321

Dimensionless stiffness, S′0.551

Dimensionless flow rate, Q′2.184

Flow ratio, M₁/M₂1

The legacy "please login" demo lock froze the outer diameter D0 to this exact value. Per docs/phase6/OWNER-DECISIONS-BACKLOG.md K4, this fixed geometry is kept exactly as in the original and only the inputs that were already free under the lock are exposed. Generalizing it is a deliberate future decision for Anton, not made here.

Method & references

Hydrostatic thrust collar bearing fed via a circumferential groove supplied through discrete orifices.
Shallow-groove/partitioned-groove self-aligning variants require finite element analysis, not covered here.
FIXED GEOMETRY: outer diameter 40 mm — the original demo lock froze this value.

The computation is a literal port of the original client-side JavaScript from /calculators/c11_5b.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Hydrostatic collar bearing, slot feed through orifices — fixed reference geometry — Engineering ABC