Physical Transformation AtlasPTA
Pathway · p-ea455d8930 · extends a recorded pathway

Gravitational potential difference → Mechanical work

Gravitational potential differenceGravitational descent of fluidHydraulic pressureAerodynamic and hydrodynamic liftMechanical motionMechanical work

Epistemic state of the route

known constituent relations
5 / 5 established or replicated · weakest constituent established
constituent maturity floor
K4 · experimentally observed
search for this exact route
Not assessed — complete composition not searched.
recorded-pathway overlap
shares relations, in order, with Hydroelectric plant · 4/5 relations shared
route-level evidence
0 sources for the complete composition · 2 cited by the constituent steps
boundaries and interfaces
BOUNDARY compatible · no region transition

Explorematrix context · physics checks · 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.

D.19 × C.24 · Gravitational potential difference × Turbomachineryfamily: Turbomachinery

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).

  • Betz limit · upper-bound · hard, filtered out by its applicability
    C_p ≤ 16/27 ≈ 59.3% of the kinetic power through the rotor disc

Steps

  1. 01
    gravitational → mechanical
    liquid
    refs [1]
  2. 02
    mechanical → mechanical
    refs [1]
  3. 03
    mechanical → mechanical · loss to thermal
    • pressurised water expanded through a reaction or impulse turbine
    liquid · bulk flow required
    refs [1]
  4. 04
    mechanical → mechanical
    refs [1]
  5. 05
    Mechanical motion —converts into→ Mechanical workestablishedclaim record
    mechanical → mechanical · loss to thermal
    refs [2]

Evidence for the complete composition · 0

No source on record for this exact composition. The sources below support the individual steps, not the route as a whole.

Evidence for the constituent relations · 2

  1. [1]
    S. L. Dixon, C. A. Hall. Fluid Mechanics and Thermodynamics of Turbomachinery (7th ed.) (2014)
    Butterworth-Heinemann · doi:10.1016/C2011-0-05059-7 · crossref ✓ 2026-09-19 · record
  2. [2]
    A. Bejan. Advanced Engineering Thermodynamics (4th ed.) (2016)
    Wiley · doi:10.1002/9781119245964 · crossref ✓ 2026-09-19 · record

Cite this route

Physical Transformation Atlas (2026). route p-ea455d8930: Gravitational potential difference → Gravitational descent of fluid → Hydraulic pressure → Aerodynamic and hydrodynamic lift → Mechanical motion → Mechanical work. Dataset revision rbfbfcbb70e57 (hash of the canonical data). https://physical-transformation-atlas.wldud5192.workers.dev/path/ea455d8930

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.