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Breshev EngineeringAURA Engineering Platform

Engineering guide

Restrictor sizing in gas-static bearings

Use this guide to understand why restrictor sizing is a pressure-field design problem, not only a feed-hole diameter problem.

Architecture firstJournal, thrust, conical and combined supports solve different load-path problems.
Static stateLoad, stiffness and flow depend on clearance, pressure, restrictors and geometry together.
System handoffThe selected bearing state must travel into the shaft and rotor model.

AURA feed-system proof

Restrictor sizing is geometry + pressure field + machine consequence.

The public journal case provides a controlled feed architecture. The manufactured adjustable-conical spindle provides a separate physical example showing how local feed-hole geometry changes the circumferential pressure distribution.

Controlled journal feed state

AURA-PS-J15-20K uses a central two-row feed architecture on an L/D = 1 journal support.

Feed rows2rows
Orifices12 / row24 total
d₀0.5mm
pₛ / C6 / 30bar / µm
Literature check. Rowe notes that a centrally admitted journal bearing with L/D = 1 requires more than six holes per row to reduce circumferential dispersion loss, and describes 12 holes per row as a better practical choice. The AURA public case uses 12 per row; this is a consistency check, not a universal optimum claim.

The restrictor diameter, number and distribution remain coupled to clearance, supply state, load, stiffness, flow and stability. AURA treats them as one candidate state rather than independent catalogue choices.

Circumferential pressure distribution on an adjustable conical gas bearing between feed rows comparing countersunk and non-countersunk feed holes
Manufactured adjustable-conical spindle example. Pressure distribution on the conical surface between feed rows. Black curve: feed holes with countersinking. Red curve: without countersinking. Radial coordinate: pressure. This is a separate manufactured conical example, not the journal case at left.

Restrictors shape the pressure field

The restrictor system controls how supply pressure enters the gas film. Diameter, count, layout and local geometry determine the resistance of the feed path and therefore the resulting pressure distribution over the support surface.

The design objective is a useful field that supports the required load, stiffness and flow, not simply the largest pressure peak at one location.

Diameter, count and location work together

Changing feed-hole diameter without considering the number of feeds or their placement can mislead the design. A smaller number of larger feeds and a larger number of smaller feeds may produce very different stiffness, flow and tolerance sensitivity even when the total area looks similar.

The layout between rows and around the circumference is part of the restrictor design, especially in conical and combined supports.

Local geometry matters

The produced adjustable conical spindle shows a direct example: the circumferential pressure distribution changes when the feed holes are countersunk. Local feed geometry changes how the gas enters the film and how the pressure equalises between rows.

This is why restrictor design should include the entrance geometry, not just the through diameter.

What the calculation should return

A useful sizing result should identify the chosen diameter and count, the feed arrangement, expected flow, equilibrium pressure field and the load/stiffness consequences at the defined operating state.

When the pressure ratio is high enough for choked flow behaviour, the calculation basis should state how that was treated.

From analytical selection to verification

Analytical screening is an efficient way to reduce the candidate space and find promising restrictor configurations. CFD or test can then be used on the selected geometry to inspect local field behaviour in more detail.

That sequence uses each tool for the question it answers best and avoids spending high-fidelity effort on weak candidates.

Continue the engineering chain

Related design and rotor decisions

Bearing design

Aerostatic bearing design guide

Architecture, load path, clearance, restrictors, stiffness and verification.

Open guide →

Rotor consequence

Gas-bearing rotor dynamics

Carry the selected support state into critical speeds, response and stability.

Open dynamics guide →

Apply the guide to one real machine question.

Start with loads, speed, envelope, gas supply and the decision you need.

Check project fit