Temperature gradient —drives→ Thermoacoustic effect
The atlas records this claim as established: a temperature gradient drives the thermoacoustic effect under the conditions below.
Exploreconditions · relation · evidence · matrix context · uses · cite
Conditions
- temperature gradient along the stack steeper than the critical gradient set by the acoustic pressure and displacement amplitudes
- a resonant gas column
Constitutive relation
|∇T_crit| = β T_m ω |p₁| / (ρ_m c_p |u₁|); prime-mover onset requires |∇T| > |∇T_crit|
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]G. W. Swift. Thermoacoustic engines (1988)
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
- Thermoacoustic piezoelectric harvesterdemonstrated · 5 steps
- Thermoacoustic triboelectric harvesterdemonstrated · 5 steps
- Thermoacoustic engine with linear alternatorprototype · 5 steps
- Temperature gradient → Thermoacoustic effect → Acoustic wave → Acoustoelectric effect → Charge carriers → Electrical work3/5 established · unresolved handoff
- Temperature gradient → Thermoacoustic effect → Acoustic wave → Acoustoelectric effect → Charge carriers → Electrical work3/5 established · candidate
- Temperature gradient → Thermoacoustic effect → Acoustic wave → Direct piezoelectric effect → Separated surface charge → Electrical work4/5 established · extends a recorded pathway
- Temperature gradient → Thermoacoustic effect → Acoustic wave → Triboelectric effect → Separated surface charge → Electrical work4/5 established · extends a recorded pathway
- Temperature gradient → Thermoacoustic effect → Acoustic wave → Linear alternator action → Charge carriers → Electrical work4/5 established · extends a recorded pathway
- Chemical potential difference → Combustion → Temperature gradient → Thermoacoustic effect → Acoustic wave → Acoustoelectric effect → Charge carriers → Electrical work5/7 established · unresolved handoff
- Chemical potential difference → Combustion → Temperature gradient → Thermoacoustic effect → Acoustic wave → Direct piezoelectric effect → Separated surface charge → Electrical work6/7 established · extends a recorded pathway
- Chemical potential difference → Combustion → Temperature gradient → Thermoacoustic effect → Acoustic wave → Triboelectric effect → Separated surface charge → Electrical work6/7 established · extends a recorded pathway
- Chemical potential difference → Combustion → Temperature gradient → Thermoacoustic effect → Acoustic wave → Linear alternator action → Charge carriers → Electrical work6/7 established · extends a recorded pathway
- Chemical potential difference → Combustion → Temperature gradient → Thermoacoustic effect → Acoustic wave → Acoustoelectric effect → Charge carriers → Electrical work5/7 established · candidate
- Chemical potential difference → Combustion → Temperature gradient → Thermoacoustic effect → Acoustic wave → Direct piezoelectric effect → Separated surface charge → Electrical work6/7 established · extends a recorded pathway
- Chemical potential difference → Combustion → Temperature gradient → Thermoacoustic effect → Acoustic wave → Triboelectric effect → Separated surface charge → Electrical work6/7 established · extends a recorded pathway
- Chemical potential difference → Combustion → Temperature gradient → Thermoacoustic effect → Acoustic wave → Linear alternator action → Charge carriers → Electrical work6/7 established · extends a recorded pathway
- Electric potential difference → Peltier effect → Temperature gradient → Thermoacoustic effect → Acoustic wave → Acoustoelectric effect → Charge carriers → Electrical work5/7 established · same energy form
- Electric potential difference → Peltier effect → Temperature gradient → Thermoacoustic effect → Acoustic wave → Direct piezoelectric effect → Separated surface charge → Electrical work6/7 established · same energy form
- Electric potential difference → Peltier effect → Temperature gradient → Thermoacoustic effect → Acoustic wave → Triboelectric effect → Separated surface charge → Electrical work6/7 established · same energy form
- Electric potential difference → Peltier effect → Temperature gradient → Thermoacoustic effect → Acoustic wave → Linear alternator action → Charge carriers → Electrical work6/7 established · same energy form
- Electric potential difference → Peltier effect → Temperature gradient → Thermoacoustic effect → Acoustic wave → Acoustoelectric effect → Charge carriers → Electrical work5/7 established · same energy form
- Electric potential difference → Peltier effect → Temperature gradient → Thermoacoustic effect → Acoustic wave → Direct piezoelectric effect → Separated surface charge → Electrical work6/7 established · same energy form
- Electric potential difference → Peltier effect → Temperature gradient → Thermoacoustic effect → Acoustic wave → Triboelectric effect → Separated surface charge → Electrical work6/7 established · same energy form
- Electric potential difference → Peltier effect → Temperature gradient → Thermoacoustic effect → Acoustic wave → Linear alternator action → Charge carriers → Electrical work6/7 established · same energy form
- Electric potential difference → Ettingshausen effect → Temperature gradient → Thermoacoustic effect → Acoustic wave → Acoustoelectric effect → Charge carriers → Electrical work5/7 established · same energy form
- Electric potential difference → Ettingshausen effect → Temperature gradient → Thermoacoustic effect → Acoustic wave → Direct piezoelectric effect → Separated surface charge → Electrical work6/7 established · same energy form
- Electric potential difference → Ettingshausen effect → Temperature gradient → Thermoacoustic effect → Acoustic wave → Triboelectric effect → Separated surface charge → Electrical work6/7 established · same energy form
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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
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