Orifice-compensated hydrostatic thrust bearing, central pocket (lock-gate scale) — fixed reference geometry

Reference-geometry calculator (650mm bearing diameter, 0.1mm film thickness, 0.7 pressure factor — all fixed, matching the original) for the alternative single-pocket design to the 4-pocket hydrostatic lock-gate bearings of the Prins Willem Alexander Lock in Amsterdam.

✓ validated against legacyoriginal: /calculators/e13_3b.htm
Orifice-compensated hydrostatic thrust bearing, central pocket (lock-gate scale) — fixed reference geometry — original diagram from /calculators/e13_3b.htm
Effective surface area ratio, Aₑ/A0.681
Dimensionless load, F*0.476
Dimensionless stiffness, S*0.66
Dimensionless flow, Q*0.887
Reynolds number, film1051
Reynolds number, orifice190772
Orifice diameter, d9.47 10⁻³ m
Load capacity, F253 10³ N
Axial stiffness, S3502 10⁶ N/m
Flow rate, Q1.419 10⁻³ m³/s
Effective power consumption, N2.271 10³ W

The legacy "please login" demo lock froze THREE values together (bearing radius, film thickness and pressure factor) to these exact defaults. 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. Self-aligning capacity can be increased by reducing the central pocket diameter, at the cost of load capacity — compensate with higher supply pressure or a larger bearing.

Method & references

  • Alternative single-central-pocket design to the 4-pocket hydrostatic bearing of the Prins Willem Alexander Lock Gate in Amsterdam, NL — at the same bearing diameter, the load capacity is identical to the 4-pocket design, but self-aligning capacity is inferior.
  • FIXED GEOMETRY: bearing radius 325 mm (diameter 650 mm), film thickness 0.1 mm, pressure factor 0.7 — the original demo lock froze these three values simultaneously.

The computation is a literal port of the original client-side JavaScript from /calculators/e13_3b.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Orifice-compensated hydrostatic thrust bearing, central pocket (lock-gate scale) — fixed reference geometry — Engineering ABC