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Tri-clamp displacers and engine heads: 1.5, 2 and 3 in spools

What size displacer fits a 2 inch tri-clamp spool and what caps do I need to make it a Stirling engine? · Hardware · basis: 16 ga ASME BPE tube bores (1.5 in = 34.8 mm, 2 in = 47.5, 3 in = 72.9) from the tri-clamp spool entry; displacer radial gap 0.6–1.0 mm for low-ΔT air engines (Senft); ISO 2852 cap face from the tri-clamp end cap entry

Long Earth Society build part. The displacers and heads the LES tri-clamp engines are built from. The engines · all LES parts

sizes
9 in table

Notes

  • Displacer diameter = bore − 2 × gap: 1.5 in → Ø33.6, 2 in → Ø46.0, 3 in → Ø70.9. Length 1.5–2.5 × bore (the longer, the bigger the temperature difference it can hold across itself); stroke 0.3–0.4 × length. A 2 in × 6 in spool takes the Ø46 × 90 displacer with a 30 mm stroke.
  • Shell displacers: 1 mm wall, closed hot end, internal rings every 25 mm, printed open end up (no supports); the cap presses in and carries the Ø3 rod on an M3 grub. Mass matters less than you think at 2–5 Hz; stiffness and straightness matter more. PETG for a cold end under 80 °C; the hot end of the displacer sees the hot plate only by radiation: PETG survives a tea-light engine, use a foam-and-foil or a thin stainless cup over the nose for a burner engine.
  • Regenerative (annular-gap) displacer: 1.5 mm gap and 12 slots packed with #100 stainless mesh turn the gap into the regenerator (Senft's LTD trick); use it in a single spool with no separate regenerator section. Foam templates: cut closed-cell foam (EVA, pool noodle) to Ø and length with the cross lines for centring the rod.
  • Heads (ISO 2852 caps with features on the back, so a stock clamp and gasket seal them): displacer head (3/32 in brass guide tube press-fit on centre + 4 mm barb), power head (10 mL syringe barrel socket, Ø15.9, as the power cylinder + M5 port), instrument head (DS18B20, K-type and a barb), crank head (Ø3 rod gland with an O-ring groove and two 623 towers 24 mm up for a crankshaft right on the cap). Heads print flat, face down, at 0.15 mm layers; sand the sealing land.
  • Engine recipes: Gamma, 2 in: hot ferrule + 6 in spool + displacer head on top, Ø46 × 90 shell displacer, power head with a 10 mL syringe on a side tee or the crank head; flywheel Ø100 on the crank kit. Beta: one spool, regenerative displacer, crank head on the cold end. Free-piston: 2 in spool, Ø46 displacer on the spiral flexures, power piston from the free-piston core.
  • LES: this is the shelf the LES engines are literally built from; every head here replaces a flat cap that used to be drilled by hand.

Sizes

spoolbore_mmdisplacer_od_mmlength_mmradial_gap_mmtype
1.534.80000000000000433.6500.6shell / foam
1.534.80000000000000433.6750.6shell / foam
1.534.80000000000000433.61000.6shell / foam
247.546.0600.75shell / foam
247.546.0900.75shell / foam
247.546.01200.75shell / foam
372.970.9801.0shell / foam
372.970.91201.0shell / foam
372.970.91601.0shell / foam

Where the files are

Other publishers' files are linked, not hosted. "verify" = check the license at the link before commercial use.

Long Earth SocietyTri-clamp Stirling engine buildsweb, videoLES site
James R. SenftAn Introduction to Low Temperature Differential Stirling Engines (displacer and gap design)bookMoriya Press verify
WikipediaStirling enginewebCC BY-SA 4.0 (text)

Free files

★ Free files 46 parts. Generated by Xem Studio from the standard; threads are plain cylinders at major diameter. CC BY 4.0. index.json

displacer-shell-1.5in-501.5 in shell displacer Ø33.6 × 50 for the Ø34.8 bore (0.6 mm radial gap), 1 mm wall, ribbed; print open end up, 0.8 mm nozzle-friendlySTEP · STL
displacer-cap-1.5in1.5 in displacer end cap with Ø3 rod boss and M3 grub (print one per displacer)STEP · STL
displacer-foam-template-1.5in-501.5 in foam displacer cutting template Ø33.6 × 50 with centre and cross linesSTEP · STL
displacer-shell-1.5in-751.5 in shell displacer Ø33.6 × 75 for the Ø34.8 bore (0.6 mm radial gap), 1 mm wall, ribbed; print open end up, 0.8 mm nozzle-friendlySTEP · STL
displacer-cap-1.5in1.5 in displacer end cap with Ø3 rod boss and M3 grub (print one per displacer)STEP · STL
displacer-foam-template-1.5in-751.5 in foam displacer cutting template Ø33.6 × 75 with centre and cross linesSTEP · STL
displacer-shell-1.5in-1001.5 in shell displacer Ø33.6 × 100 for the Ø34.8 bore (0.6 mm radial gap), 1 mm wall, ribbed; print open end up, 0.8 mm nozzle-friendlySTEP · STL
displacer-cap-1.5in1.5 in displacer end cap with Ø3 rod boss and M3 grub (print one per displacer)STEP · STL
displacer-foam-template-1.5in-1001.5 in foam displacer cutting template Ø33.6 × 100 with centre and cross linesSTEP · STL
displacer-regenerative-1.5in-751.5 in annular-gap regenerative displacer Ø31.8 × 75: 12 radial slots to pack with #100 mesh, 1.5 mm gapSTEP · STL
displacer-regenerative-cap-1.5incap for the 1.5 in regenerative displacerSTEP · STL
head-displacer-1.5in1.5 in ISO 2852 cap: centre press-fit bore for 3/32 in brass guide tube, 4 mm transfer-port barbSTEP · STL
head-power-syringe-1.5in1.5 in ISO 2852 cap: socket for a 10 mL syringe barrel (Ø15.9) as the power cylinder, M5 instrument/vent portSTEP · STL
head-instrument-1.5in1.5 in ISO 2852 cap: Ø6.15 DS18B20, Ø3.15 K-type, 4.2 barb port, M3 pinch screwsSTEP · STL
head-crank-1.5in1.5 in ISO 2852 cap: Ø3 rod gland with 1.5 CS O-ring groove and two 623 bearing towers for a Ø3 crankshaft 24 mm above the capSTEP · STL
displacer-shell-2in-602 in shell displacer Ø46 × 60 for the Ø47.5 bore (0.75 mm radial gap), 1 mm wall, ribbed; print open end up, 0.8 mm nozzle-friendlySTEP · STL
displacer-cap-2in2 in displacer end cap with Ø3 rod boss and M3 grub (print one per displacer)STEP · STL
displacer-foam-template-2in-602 in foam displacer cutting template Ø46 × 60 with centre and cross linesSTEP · STL
displacer-shell-2in-902 in shell displacer Ø46 × 90 for the Ø47.5 bore (0.75 mm radial gap), 1 mm wall, ribbed; print open end up, 0.8 mm nozzle-friendlySTEP · STL
displacer-cap-2in2 in displacer end cap with Ø3 rod boss and M3 grub (print one per displacer)STEP · STL
displacer-foam-template-2in-902 in foam displacer cutting template Ø46 × 90 with centre and cross linesSTEP · STL
displacer-shell-2in-1202 in shell displacer Ø46 × 120 for the Ø47.5 bore (0.75 mm radial gap), 1 mm wall, ribbed; print open end up, 0.8 mm nozzle-friendlySTEP · STL
displacer-cap-2in2 in displacer end cap with Ø3 rod boss and M3 grub (print one per displacer)STEP · STL
displacer-foam-template-2in-1202 in foam displacer cutting template Ø46 × 120 with centre and cross linesSTEP · STL
displacer-regenerative-2in-902 in annular-gap regenerative displacer Ø44.5 × 90: 12 radial slots to pack with #100 mesh, 1.5 mm gapSTEP · STL
displacer-regenerative-cap-2incap for the 2 in regenerative displacerSTEP · STL
head-displacer-2in2 in ISO 2852 cap: centre press-fit bore for 3/32 in brass guide tube, 4 mm transfer-port barbSTEP · STL
head-power-syringe-2in2 in ISO 2852 cap: socket for a 10 mL syringe barrel (Ø15.9) as the power cylinder, M5 instrument/vent portSTEP · STL
head-instrument-2in2 in ISO 2852 cap: Ø6.15 DS18B20, Ø3.15 K-type, 4.2 barb port, M3 pinch screwsSTEP · STL
head-crank-2in2 in ISO 2852 cap: Ø3 rod gland with 1.5 CS O-ring groove and two 623 bearing towers for a Ø3 crankshaft 24 mm above the capSTEP · STL
displacer-shell-3in-803 in shell displacer Ø70.9 × 80 for the Ø72.9 bore (1.0 mm radial gap), 1 mm wall, ribbed; print open end up, 0.8 mm nozzle-friendlySTEP · STL
displacer-cap-3in3 in displacer end cap with Ø3 rod boss and M3 grub (print one per displacer)STEP · STL
displacer-foam-template-3in-803 in foam displacer cutting template Ø70.9 × 80 with centre and cross linesSTEP · STL
displacer-shell-3in-1203 in shell displacer Ø70.9 × 120 for the Ø72.9 bore (1.0 mm radial gap), 1 mm wall, ribbed; print open end up, 0.8 mm nozzle-friendlySTEP · STL
displacer-cap-3in3 in displacer end cap with Ø3 rod boss and M3 grub (print one per displacer)STEP · STL
displacer-foam-template-3in-1203 in foam displacer cutting template Ø70.9 × 120 with centre and cross linesSTEP · STL
displacer-shell-3in-1603 in shell displacer Ø70.9 × 160 for the Ø72.9 bore (1.0 mm radial gap), 1 mm wall, ribbed; print open end up, 0.8 mm nozzle-friendlySTEP · STL
displacer-cap-3in3 in displacer end cap with Ø3 rod boss and M3 grub (print one per displacer)STEP · STL
displacer-foam-template-3in-1603 in foam displacer cutting template Ø70.9 × 160 with centre and cross linesSTEP · STL
displacer-regenerative-3in-1203 in annular-gap regenerative displacer Ø69.9 × 120: 12 radial slots to pack with #100 mesh, 1.5 mm gapSTEP · STL
displacer-regenerative-cap-3incap for the 3 in regenerative displacerSTEP · STL
head-displacer-3in3 in ISO 2852 cap: centre press-fit bore for 3/32 in brass guide tube, 4 mm transfer-port barbSTEP · STL
head-power-syringe-3in3 in ISO 2852 cap: socket for a 10 mL syringe barrel (Ø15.9) as the power cylinder, M5 instrument/vent portSTEP · STL
head-instrument-3in3 in ISO 2852 cap: Ø6.15 DS18B20, Ø3.15 K-type, 4.2 barb port, M3 pinch screwsSTEP · STL
head-crank-3in3 in ISO 2852 cap: Ø3 rod gland with 1.5 CS O-ring groove and two 623 bearing towers for a Ø3 crankshaft 24 mm above the capSTEP · STL
rod-gland-bushing-3mmstand-alone rod gland bushing Ø3 with O-ring groove, press into a Ø8.1 holeSTEP · STL

Plain text: sheet.txt · JSON: /api/geometry?object=tri-clamp-displacers-and-heads

Tri-clamp displacers and engine heads: 1.5, 2 and 3 in spools, isometric render of a generated part
Render of head-crank-2in from the free STEP; not to scale.

Fits with

Questions

What diameter displacer for a 2 inch tri-clamp spool?

Ø46 mm (47.5 mm bore minus a 0.75 mm radial gap), 60–120 mm long; the Ø46 × 90 shell with a 30 mm stroke suits a 6 in spool.

How much clearance should a Stirling displacer have?

0.5–1 mm radial for a low-temperature air engine: 0.6 mm in a 1.5 in spool, 0.75 in a 2 in, 1.0 in a 3 in. Wider wastes the temperature difference, tighter rubs when the shell warms.

How do I seal the displacer rod through a tri-clamp cap?

Print the crank head: a Ø3.1 bore with a 1.5 mm cross-section O-ring groove 5 mm up; a light smear of silicone grease and the Ø3 rod runs sealed. The displacer head instead uses a 3/32 in brass tube as a guide (no seal needed on the displacer side of a gamma engine).

Can I use a syringe as the power piston on a tri-clamp engine?

Yes: the power head has a Ø15.9 socket for a 10 mL syringe barrel; the plunger (tip removed) is the piston. For a 2 in engine that gives about 2 mL of swept volume per 12 mm of stroke, which matches a Ø46 × 90 displacer at 30 mm stroke.

What is a regenerative displacer?

A displacer whose wall gap is the regenerator: slots in the shell packed with stainless mesh, 1.5 mm gap; the gas shuttles through the mesh as the displacer moves, so one spool makes a complete engine (Senft's LTD design).