Heat exchanger
Temperature gradientHeat conductionHeat flowUseful heat
Heat conducts through a wall from the hot stream to the cold one.
Epistemic state of the route
- known constituent relations
- 3 / 3 established or replicated · weakest constituent established
- constituent maturity floor
- K4 · experimentally observed
- search for this exact route
- A recorded pathway or a reviewed search records a demonstration of this composition.
- recorded pathway
- Heat exchanger · commercial
- composition maturity
- K8 · commercial technology
- recorded-pathway overlap
- this route is the recorded pathway Heat exchanger
- route-level evidence
- 1 source for the complete composition · 1 cited by the constituent steps
- boundaries and interfaces
- BOUNDARY compatible · no region transition
Explorematrix context · physics checks · performance · steps · route evidence · constituent evidence · cite
Matrix context
D = disequilibrium row · C = coupling family column. A cell reads the state of the atlas for that pair.
No coupling family recorded for this route's phenomena.
Measured or reported performance
Summary figures only; no datum-level record yet. Each figure below is a reviewed summary, not a single measurement.
- notes
- effectiveness 0.6–0.95 for counterflow designs; no thermodynamic ceiling on heat delivered, only on its temperature
Typed bounds on this route
Every limit the atlas holds for this route, as constraint records: reached through bounded_by claims on the route's own entities. Hard bounds (an upper bound or a formula) decide the thermodynamic-bound check above; benchmarks, constitutive relations and resource limits are listed and never decisive. No prose limit exists anywhere (pass 42).
- Carnot limit · formula-bound · hard, filtered out by its applicabilityη ≤ 1 − T_c/T_h for any heat engine between reservoirs at T_h and T_c
Steps
- 01thermal → thermalq = −κ · ∇T · thermal conductivity κ [W/(m K)]refs [1]
- 02
- 03thermal → thermal
- heat delivered at a temperature above the point of use
refs [1]
Evidence for the complete composition · 1
- [1]A. Bejan. Advanced Engineering Thermodynamics (4th ed.) (2016)
Evidence for the constituent relations · 1
- [1]A. Bejan. Advanced Engineering Thermodynamics (4th ed.) (2016)
Cite this route
Physical Transformation Atlas (2026). route p-bb4081c0b9: Heat exchanger. Dataset revision rbfbfcbb70e57 (hash of the canonical data). https://physical-transformation-atlas.wldud5192.workers.dev/path/bb4081c0b9
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.