Physical Transformation AtlasPTA
Pathway · p-8fba925ce8 · candidate

Thermo-osmotic energy conversion (TOEC)

Temperature gradientThermo-osmosisFluid flowAerodynamic and hydrodynamic liftMechanical motionMechanical work

Heat drives a thermo-osmotic vapour flux through a hydrophobic membrane into a pressurised reservoir; the pressurised flow is recorded, its conversion through a turbine is the proposed step.

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
Exact composition search: reviewed 2026-09-20 — partial; No physical experiment couples a turbine directly to a thermo-osmotic pressurised flow in the OpenAlex protocol runs or the four citation chases. The pressurised flow itself has been produced and its pressure × flux reported since 2014 (MemPower, Straub 2016, stack TOEC 2021, PRMD); the one hydro-turbine run (Xiao et al. 2024, a 2 W-rated bulb lit) stores the permeate in an elevated tank first and is recorded as longer-chain; the same driver and stage have been closed through electrokinetic and electrodialytic sinks instead (Huang 2021, Luo 2023, Ma 2025). Inconclusive until Luo 2024 is read and the Semantic Scholar and Google Scholar runs exist.
recorded pathway
Thermo-osmotic energy conversion (TOEC) · proposed in the literature, not demonstrated — a proposal in the literature, not a demonstration; the route stays a candidate and its search state is unchanged by the proposal
composition maturity
K5 · energy harvested — Thermo-osmotic energy converter (TOEC)
recorded-pathway overlap
shares relations, in order, with Thermal-osmosis electrokinetic generator · 2/5 relations shared
route-level evidence
1 source for the complete composition · 6 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.

D.01 × C.37 · Temperature gradient × Thermo-osmoticfamily: Thermo-osmoticD.01 × C.24 · Temperature gradient × Turbomachineryfamily: Turbomachinery

Measured or reported performance

  1. hydraulic power density3.53 ± 0.29 W/m² of membranelaboratory2016
    60 °C hot side, 20 °C cold side, hydraulic pressures up to 13 bar; the pressurised flow was measured, the turbine stage is proposed
    refs [3]
best recorded power density (derived)
3.53 ± 0.29 W/m² of membrane per membrane area — hydraulic power density, laboratory, 2016; pressure × permeate flux per membrane area; the turbine stage proposed, not run
notes
Every TOEC power density on record (Kuipers 2014 MemPower, Straub 2016, Li 2021 stack, Zhao 2021 PRMD) is the pressure × flux of the pressurised permeate, not turbine output. The one physical run through a hydro-turbine (Xiao et al. 2024, a 2 W-rated bulb lit) stored the permeate in an elevated tank first, a longer chain through gravitational head conversion; the direct coupling of a turbine to the pressurised permeate has not been reported (route search of 21/09/2026).

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, applies to this route
    η ≤ 1 − T_c/T_h for any heat engine between reservoirs at T_h and T_c
  • 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
    thermal → kinetic · loss to thermal
    • a membrane separating two reservoirs of the same liquid at different temperatures; the flow direction depends on the membrane–liquid interaction
    selective membrane required · temperature gradient required · liquid
    refs [1] [2]
  2. 02
    Thermo-osmosis —produces→ Fluid flowestablishedclaim record
    kinetic → kinetic
    Confined in a nanochannel (Zhao 2020) or collected as a pressurised bulk flow: Straub et al. 2016 measured 3.53 W/m² of hydraulic power from the thermo-osmotic flux, so the produced flow can load a turbine.
    refs [1] [3]
  3. 03
    kinetic → mechanical · loss to thermal
    • a rotor or vane in the produced stream at a working angle of attack; the driven flow must carry a directed momentum flux for a blade to load
    bulk flow required
    refs [4] [5]
  4. 04
    mechanical → mechanical
    refs [5]
  5. 05
    Mechanical motion —converts into→ Mechanical workestablishedclaim record
    mechanical → mechanical · loss to thermal
    refs [6]

Evidence for the complete composition · 1

  1. [3]
    A. P. Straub et al.. Harvesting low-grade heat energy using thermo-osmotic vapour transport through nanoporous membranes (2016)
    Nature Energy 1, 16090 · doi:10.1038/nenergy.2016.90 · crossref ✓ 2026-09-20 · record

Evidence for the constituent relations · 6

  1. [1]
    V. M. Barragán, S. Kjelstrup. Thermo-osmosis in Membrane Systems: A Review (2017)
    Journal of Non-Equilibrium Thermodynamics, 42 · doi:10.1515/jnet-2016-0088 · crossref ✓ 2026-09-20 · record
  2. [2]
    S. R. de Groot, P. Mazur. Non-Equilibrium Thermodynamics (1962)
    North-Holland · book, no DOI · record
  3. [3]
    A. P. Straub et al.. Harvesting low-grade heat energy using thermo-osmotic vapour transport through nanoporous membranes (2016)
    Nature Energy 1, 16090 · doi:10.1038/nenergy.2016.90 · crossref ✓ 2026-09-20 · record
  4. [4]
    A. Betz. Das Maximum der theoretisch möglichen Ausnützung des Windes durch Windmotoren (1920)
    Zeitschrift für das gesamte Turbinenwesen 26, 307–309 · paper, no DOI · record
  5. [5]
    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
  6. [6]
    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-8fba925ce8: Thermo-osmotic energy conversion (TOEC). Dataset revision rbfbfcbb70e57 (hash of the canonical data). https://physical-transformation-atlas.wldud5192.workers.dev/path/8fba925ce8

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.