Module 3

Assessment Content

Flow Behaviour, Conductance & System Geometry
Facilitator: adjust scaffolding level before distributing

S1 Entry Ticket: Pre-Synchronous Session Diagnostic

Scenario: "The Foreline Swap"

R1-A has been operating reliably for several weeks. The system consistently reaches a base pressure of 0.05 mbar in approximately 8 minutes from atmospheric (~950 mbar). The pump (R1-P-RP) was last serviced one month ago and has been performing within specification.

Last Friday, during routine maintenance, the foreline (R1-L-FL) was replaced. The maintenance technician used available stock: a tube with 15 mm internal diameter and 1.5 metres in length, with two 90-degree bends. The original foreline was 25 mm internal diameter, 0.6 metres long, and straight (no bends).

On Monday morning, the first pump-down is performed. The viscous flow phase looks normal — 950 to 1 mbar takes about 95 seconds (previously 90 seconds).

But below 1 mbar, the pump-down slows dramatically. After 30 minutes of continuous pumping, R1-G-CH reads 0.18 mbar and is still dropping very slowly.

The operator isolates the system (R1-V-ISO closed) and performs a rate-of-rise test:

Time after isolation R1-G-CH (mbar)
0 min 0.18
1 min 0.20
3 min 0.23
5 min 0.25
10 min 0.27

The pump is then tested independently by disconnecting the foreline and placing a gauge directly at the pump inlet. The pump reaches 0.008 mbar within 5 minutes — well within its rated specification of 0.01 mbar.

Entry Question 1: Pump-Down Phase Analysis

Compare the viscous flow phase (950 to 1 mbar) to the molecular flow phase (below 1 mbar) for this pump-down. Which phase is abnormal, and what does this tell you about where the problem lies in the system?

Your answer:

Clue: Think about the two flow regimes — viscous and molecular. Which phase of the pump-down was abnormal?
Guide: The viscous flow phase (950 to 1 mbar) was nearly normal (95 vs 90 seconds). The molecular flow phase (below 1 mbar) is severely affected — stalling at 0.18 mbar instead of reaching 0.05 mbar. What system property primarily affects molecular flow conductance?
Step by step
In viscous flow, conductance depends on pressure and is relatively forgiving of geometry changes. In molecular flow, conductance depends only on geometry (diameter, length, bends). The problem is selective to molecular flow, pointing to a conductance restriction in the molecular flow regime — the foreline geometry.

Entry Question 2: Rate-of-Rise Interpretation

The rate of rise for each interval in the isolation test has been calculated below:

Interval Rise (mbar) Rate of rise (mbar/min)
0–1 min 0.02 0.020
1–3 min 0.03 0.015
3–5 min 0.02 0.010
5–10 min 0.02 0.004

Examine the rate-of-rise values. Is the rate constant or decreasing?

What gas load source does this pattern indicate — a leak or outgassing? How does this finding help narrow the diagnosis?

Your answer:

Clue: Check whether the rate values are constant or decreasing. This tells you the type of gas source.
Guide: The rate decreases from 0.020 to 0.004 mbar/min — a classic desorption pattern. This is outgassing, not a leak. But the outgassing rate is relatively low, suggesting the chamber itself is clean. The problem is not the gas source — it is the pumping speed reaching the chamber.

Entry Question 3: Pump Verification

The pump reaches 0.008 mbar when tested independently at its own inlet. The chamber stalls at 0.18 mbar through the new foreline.

What does the gap between these two pressures tell you? What component or section of the system is responsible for the performance loss?

Your answer:

Clue: Compare the pump's standalone performance to the system performance. Where is the discrepancy?
Guide: Pump alone: 0.008 mbar. Through new foreline: stalls at 0.18 mbar. The pump has the capability, but that capability cannot reach the chamber. The foreline is the bottleneck.

Entry Question 4: Conductance and Geometry

The original foreline was 25 mm bore, 0.6 m long, straight. The replacement is 15 mm bore, 1.5 m long, with two 90-degree bends. Without performing any calculations, explain in descriptive terms why each of these three changes (diameter, length, bends) reduces the conductance of the foreline, and which change has the greatest impact in the molecular flow regime.

Your answer:

Clue: Think about the three changes: smaller diameter, longer length, added bends. How does each one restrict molecular flow?
Guide: In molecular flow: conductance is proportional to diameter cubed (d^3), inversely proportional to length, and each bend adds equivalent length. The diameter reduction (25 -> 15 mm) has the largest impact because of the cubic relationship — roughly (15/25)^3 = 0.22, meaning conductance drops to about 22% of the original.

Entry Question 5: Escalation Note

Write a 3-sentence escalation note for the maintenance supervisor summarising: (1) what was observed, (2) what the evidence indicates, and (3) what additional information would help clarify the situation. Use specific component IDs and readings.

Your answer:

Clue: Structure: observation, diagnosis, recommendation. Use component IDs and specific readings.
Guide: Include: system stalls at 0.18 mbar (base spec is 0.05 mbar). Rate-of-rise shows outgassing, not leak. Pump verified at 0.008 mbar independently. Diagnosis: new foreline geometry (15 mm bore, 1.5 m, two bends vs original 25 mm, 0.6 m, straight) is restricting molecular flow conductance. Recommend: replace foreline with original specification.

S2 Worked Example: Entry Ticket Model Answer

Entry Question 1 — Model Answer

The viscous flow phase (950 to 1 mbar) is essentially normal — 95 seconds vs the previous 90 seconds. The 5-second difference is minor and consistent with a slight increase in viscous flow resistance from the narrower foreline, but it does not represent a significant problem. The molecular flow phase (below 1 mbar) is severely abnormal — after 30 minutes, the system is at 0.18 mbar vs the expected 0.05 mbar at 8 minutes.

This tells us that the problem affects molecular flow much more than viscous flow. In viscous flow, conductance is relatively high and pressure-dependent, so even a restricted foreline passes gas adequately. In molecular flow, conductance depends on geometry alone — diameter, length, and bends — and the new foreline's geometry is creating a severe bottleneck that prevents the pump's capability from reaching the chamber.

Entry Question 2 — Model Answer

Interval Rise (mbar) Rate (mbar/min)
0-1 min 0.02 0.020
1-3 min 0.03 0.015
3-5 min 0.02 0.010
5-10 min 0.02 0.004

The rate decreases from 0.020 to 0.004 mbar/min over 10 minutes. This is a decreasing rate — the classic outgassing (surface desorption) pattern.

This rules out a real leak, which would produce a constant rate. The gas load is normal surface desorption, not an air ingress problem.

This finding is critical for the diagnosis: it eliminates both leaks and contamination as causes. The system's difficulty reaching base pressure is not due to excessive gas load entering the chamber — it is due to the pump's inability to remove gas fast enough through the restricted foreline.

Entry Question 3 — Model Answer

The pump reaches 0.008 mbar at its inlet. The chamber stalls at 0.18 mbar — approximately 22 times higher. This gap proves the pump is not the problem; it is performing well within its specification.

The entire performance loss is attributable to the gas path between the pump and the chamber — specifically, the new foreline (R1-L-FL).

In the molecular flow regime at 0.18 mbar, the conductance of the foreline determines how much of the pump's capability is "delivered" to the chamber. The new foreline's low conductance acts like a narrow bottleneck: the pump creates excellent vacuum at its own inlet, but that vacuum cannot propagate effectively through the restricted tube to the chamber. The effective pumping speed at the chamber is a small fraction of the pump's rated speed.

Entry Question 4 — Model Answer

Diameter reduction (25 mm to 15 mm): A narrower tube provides less cross-sectional area for gas to pass through. In molecular flow, molecules bounce randomly between walls — in a narrower tube, molecules are more likely to bounce backward toward the chamber rather than continuing toward the pump. Conductance in molecular flow scales approximately with the cube of the diameter, so this reduction alone cuts conductance dramatically.

Length increase (0.6 m to 1.5 m): A longer tube means molecules must undergo more wall collisions to traverse the passage. Each collision randomises the molecule's direction, so a significant fraction of molecules bounce back before reaching the pump. Conductance decreases inversely with length — doubling the length roughly halves the conductance.

Bends (two 90-degree elbows added): Each bend forces molecules to collide with the bend wall, randomising their direction. Some fraction bounce back the way they came. In molecular flow, bends are particularly costly because there is no collective flow to carry molecules around the corner — each molecule must individually navigate the geometry.

Greatest impact: The diameter reduction has the greatest impact because conductance scales with the cube of the diameter. The reduction from 25 mm to 15 mm alone reduces molecular flow conductance by roughly 80%. The length and bends compound the problem, but diameter is the dominant factor.

Entry Question 5 — Model Answer

"R1-A pump-down stalls at 0.18 mbar after 30 minutes — normal base is 0.05 mbar in 8 minutes. R1-P-RP verified to reach 0.008 mbar at its inlet (within spec); rate-of-rise test rules out leak (decreasing rate from 0.020 to 0.004 mbar/min).

The replacement foreline (R1-L-FL: 15 mm bore, 1.5 m, two bends) has severely reduced molecular flow conductance compared to the original (25 mm bore, 0.6 m, straight). Additional information needed: confirmation that the original foreline specification (25 mm bore, 0.6 m, straight) is available for comparison testing."

S3 Worked Example: Situation Report

Scenario Context (Facilitator-Provided During Synchronous Session)

R1-A has been pumping for 12 minutes. The viscous flow phase was normal. R1-G-CH currently reads 0.12 mbar and is dropping very slowly — approximately 0.005 mbar per minute.

The operator is uncertain whether this is normal behaviour in the molecular flow regime or an indication of a problem. The system was cleaned last week and has not been opened since.

Model Situation Report

System: R1-A State: ROUGHING (R1-V-ISO open, R1-V-VENT closed, R1-P-RP running) Time: 10:45

Observation: R1-G-CH reads 0.12 mbar at 12 minutes into the pump-down. Viscous flow phase (950 to 1 mbar) completed in ~90 seconds — normal.

The pressure is continuing to drop but at a very slow rate (~0.005 mbar/min).

R1-G-BX reads ~950 mbar. The pump sounds normal. No unusual exhaust odour from R1-FLT-EXH.

Interpretation: At 0.12 mbar, the system is in the molecular flow regime. The slow rate of pressure decrease is expected at this stage — the gas load is dominated by surface water desorption, and the molecular flow conductance of the foreline limits the effective pumping speed at the chamber.

The system logbook shows a normal base pressure of 0.05 mbar, typically reached at approximately 8-10 minutes. At 12 minutes with 0.12 mbar, the system is running slightly slow but within the expected range for a first pump-down after the system has been idle.

Comparison to expected: The logbook reference shows 0.065 mbar at 7 minutes. Today's 0.12 mbar at 12 minutes is slower, but the system was idle (though closed) for several days, which would allow some surface gas re-accumulation. If the pressure continues to decrease and reaches 0.05 mbar within the next 5-10 minutes, this is likely within normal variation.

Unknowns - Evidence Needed:

  1. UNKNOWN: Will the system reach 0.05 mbar, or will it stall? Continue monitoring R1-G-CH for the next 10 minutes.
  2. UNKNOWN: Is the pump-down rate still decreasing (approaching base) or has it levelled off (approaching a stall)? Record R1-G-CH at 2-minute intervals to characterise the trend.
  3. UNKNOWN: If the system does not reach 0.05 mbar within 25 minutes total, a rate-of-rise test should be performed to check for a developing leak.

Escalation: "R1-A roughing in progress — 12 minutes in, R1-G-CH at 0.12 mbar and still dropping slowly. Viscous phase was normal. Currently monitoring the molecular flow phase to confirm the system reaches normal base pressure (0.05 mbar).

Slight delay consistent with idle-time surface gas accumulation. Will report if base pressure is not achieved within 25 minutes or if the pressure trend flattens."

S4 Worked Example: Evidence Brief

Scenario Context

Following a series of pump-down tests on R1-A, the following evidence has been collected. The system was recently returned to service after the foreline (R1-L-FL) was replaced with a smaller-bore tube (15 mm vs original 25 mm, 1.2 m vs 0.6 m, one bend vs straight). The system cannot reach its expected base pressure.

Evidence collected:

Model Evidence Brief

System: R1-A State during test: ROUGHING (stalled at 0.22 mbar), then ISOLATED (rate-of-rise test) Investigation: Post-maintenance performance assessment

State Call: ROUGHING — R1-V-ISO open, R1-V-VENT closed, R1-P-RP running. Confirmed by valve positions.

Observed Evidence:

Plausibility Check: The pump reaches 0.008 mbar independently. The chamber stalls at 0.22 mbar — a factor of 27.5 above the pump's capability.

With no leak, no contamination, and a functioning pump, the conductance of the gas path is the only remaining variable. The foreline was the only component changed during maintenance.

Hypotheses (ranked):

Rank Hypothesis Supporting Evidence Contradicting Evidence Discriminator
1 Conductance bottleneck from replacement foreline (leading cause) Foreline geometry severely degraded (40% bore reduction, 2x length, added bend); pump meets spec independently; molecular flow phase is catastrophically affected while viscous phase is nearly normal — consistent with geometry-dependent molecular flow conductance loss None — all evidence supports this hypothesis Restore original foreline spec (25 mm bore, 0.6 m, straight) and re-test; if base pressure returns to 0.05 mbar, hypothesis confirmed
2 R1-V-ISO not opening fully (less likely) Could restrict conductance; was operated during maintenance No maintenance was performed on the valve; viscous phase would also show more significant degradation if the valve were restricted Inspect valve mechanism; measure valve bore with a gauge
3 Residual contamination from maintenance (least likely) Maintenance involves handling — potential for contamination introduction Chamber was cleaned; rate-of-rise pattern is normal (low magnitude); viscous phase is normal Re-clean the chamber and re-test; if no improvement, contamination eliminated

Discriminator Evidence: The definitive test is to restore the original foreline specification. If the base pressure returns to 0.05 mbar, the foreline conductance was the sole cause. This is a low-cost, reversible change that directly tests the leading hypothesis.

UNKNOWN - Evidence Needed:

  1. Whether the original foreline is still available for reinstallation
  2. Whether the maintenance stock includes 25 mm bore tubing of the correct length
  3. Whether any other fittings or connections were disturbed during the foreline replacement

Escalation Note: "Post-maintenance investigation of R1-A performance degradation: base pressure stalled at 0.22 mbar (expected: 0.05 mbar). All evidence points to the replacement foreline (R1-L-FL: 15 mm bore, 1.2 m, one bend — original was 25 mm bore, 0.6 m, straight) as the single leading cause.

Pump verified independently at 0.008 mbar. Rate-of-rise rules out leak. Additional information needed: whether the original foreline is available for reinstallation to confirm the diagnosis."

S5 Worked Example: Sector Lens Output

Scenario Context

Using the conductance bottleneck scenario from S4, the student applies the thin-film coating sector lens. M03 begins the transition from the general industrial sector to thin-film coating applications.

Model Sector Lens Output

Base scenario: R1-A conductance bottleneck — replacement foreline (15 mm bore, 1.2 m, one bend) causing base pressure stall at 0.22 mbar vs expected 0.05 mbar.

Sector: Thin-Film Coating

Sector Lens Application:

In a thin-film coating environment (e.g., sputtering, evaporation, or chemical vapour deposition), this conductance bottleneck would have severe consequences:

Sector-Specific Escalation: "Conductance bottleneck identified on R1-A: replacement foreline (R1-L-FL) has reduced molecular flow conductance, stalling base pressure at 0.22 mbar. In a thin-film coating application, this would prevent the system from reaching the required base pressure range (0.001-0.01 mbar), making all coating processes impossible.

Film quality, adhesion, and composition would be unacceptable at this base pressure. Additional information needed: availability of original-specification foreline (25 mm bore, 0.6 m, straight) and whether maintenance stock records match the original engineering specifications."

S6 Reading List

Use these references to deepen your understanding of the concepts covered in Module 3. They are organised by topic and include section references for quick navigation.

Source Author/Publisher Topic Sections Priority Why Read This
Introduction to Vacuum Technology, Ch. 3 Milne Open Textbooks Gas flow regimes; viscous and molecular flow; mean free path; transition region Ch. 3 Start here Clear, accessible explanation of how gas behaviour changes with pressure. Builds directly on Chapter 2 from Module 2. The non-mathematical treatment of flow regimes matches the descriptive approach of this module.
Basic Vacuum Practice, Ch. 1, 4-5 Varian (3rd Edition) Flow regimes and mean free path; conductance; pumping speed vs effective speed; foreline sizing; system design Ch. 1 (pp. 21-35), Ch. 4 (pp. 86-110), Ch. 5 (pp. 111-135) Core The clearest single-source treatment of conductance and its practical effects on system performance. Ch. 1 provides excellent diagrams of viscous vs molecular flow and mean free path. Ch. 4-5 cover series conductance and the effect of tube geometry. Plain-language approach with worked examples.
Vacuum Technology Book II, Part 1 Pfeiffer Vacuum Pump-down curves; flow regimes; conductance calculations; system throughput Sections 2.1-2.4 (pp. 18-38) Core Authoritative technical reference with detailed pump-down curve examples. Strong on the relationship between flow regime and conductance. Use this alongside Varian for a complementary perspective. Note: Pfeiffer uses sea-level atmospheric pressure (1013 mbar) — remember Selkirk atmospheric is ~950 mbar.
Introduction to Vacuum Science (KJLC/ORNL deck) J.R. Gaines, Kurt J. Lesker Company Pump-down behaviour; effective pumping speed; conductance in practice; system design examples Slides 130-200 Recommended Excellent visual reference for pump-down curves, flow regime transitions, and conductance effects. The slide format makes it easy to see the relationships graphically. Particularly strong on the difference between pump speed and effective speed at the chamber.
A User's Guide to Vacuum Technology, Ch. 3-4 John F. O'Hanlon Detailed treatment of gas flow; conductance formulas; molecular flow through tubes and orifices Ch. 3-4 Supplementary More advanced than needed for Module 3's descriptive approach, but valuable if you want to understand the quantitative relationships behind conductance. Good for engineers in the cohort who want to go deeper.

How to Use This List:

KJLC/ORNL Deck — Slide Guide for Module 3:

Lesson Slide Range What You'll Find
Lesson 3 (Flow Regimes) 130-155 Visual explanations of viscous, transition, and molecular flow with mean free path diagrams
Lesson 4 (Conductance) 156-180 Conductance effects of tube diameter, length, and bends with practical examples
Lesson 5 (Pump-Down Curves) 181-195 Reference pump-down curves showing the three phases, with annotations of flow regime boundaries
Lesson 6 (Effective Pumping Speed) 196-200 The relationship between pump speed, conductance, and effective speed at the chamber

End of Assessment Content — Module 3

Submit Your Assessment

Use the fields below to submit your completed assessment work. You may paste your Entry Ticket, Situation Report, Evidence Brief, or Sector Lens responses into the appropriate fields.