Physical Transformation AtlasPTA
Claim · claim:thermoacoustic-drives

Temperature gradient —drives→ Thermoacoustic effect

The atlas records this claim as established: a temperature gradient drives the thermoacoustic effect under the conditions below.

establishedK7 · engineering prototypeledger thermal → acoustic · loss to thermalrecord reviewed 2026-09-21

Exploreconditions · relation · evidence · matrix context · uses · cite

1cited sources64enumerated routes using it3routes with composition evidence3recorded pathways

Conditions

  • temperature gradient along the stack steeper than the critical gradient set by the acoustic pressure and displacement amplitudes
  • a resonant gas column
regime: gas · temperature gradient required

Constitutive relation

|∇T_crit| = β T_m ω |p₁| / (ρ_m c_p |u₁|); prime-mover onset requires |∇T| > |∇T_crit|

input Acoustic pressureoutput Temperature gradientcritical-gradient factor β T_m ω/(ρ_m c_p u₁) [K/(Pa·m)]

p₁ and u₁ are the local first-order acoustic pressure and particle-velocity amplitudes; β is the volumetric thermal expansion coefficient (β T_m ≈ 1 for an ideal gas); this is the linear short-stack / standing-wave criterion of Swift 1988 — above the critical gradient the stack amplifies the wave, below it the same interaction pumps heat — not a closed-form performance law for every travelling-wave regenerator.

Evidence · 1

  1. [1]
    G. W. Swift. Thermoacoustic engines (1988)
    Journal of the Acoustical Society of America 84, 1145–1180 · doi:10.1121/1.396617 · crossref ✓ 2026-09-19 · record

Matrix cells this relation feeds

D = disequilibrium row · C = coupling family column. A cell reads the state of the atlas for that pair.

Uses of this claim

recorded pathways · 3
other enumerated routes · 61 (first 24 shown)

all 64 routes are in /api/paths.json filtered by claims ∋ claim:thermoacoustic-drives

Cite this claim

Physical Transformation Atlas (2026). claim claim:thermoacoustic-drives: Temperature gradient —drives→ Thermoacoustic effect. Dataset revision rbfbfcbb70e57 (hash of the canonical data). https://physical-transformation-atlas.wldud5192.workers.dev/claim/thermoacoustic-drives

Ids and matrix addresses are stable across revisions; the revision hash identifies the exact canonical files the record was compiled from and is meta.data_hash in every /api export. Reuse terms: see the license field in any export.