Chemical potential difference → Electrical work

Matrix context

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

D.05 × C.29 · Chemical potential difference × Thermochemicalfamily: ThermochemicalD.05 × C.08 · Chemical potential difference × Heat engine (thermomechanical)family: Heat engine (thermomechanical)D.05 × C.23 · Chemical potential difference × Electrokineticfamily: Electrokinetic

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).

• Onsager–Casimir reciprocity · constitutive-relation · listed, never decisive
  L_ij(B) = ε_i ε_j L_ji(−B): the cross-coefficients of coupled linear transport are equal up to the time-reversal parities ε of the variables and reversal of the magnetic field; L_ij = L_ji is the zero-field, even-parity case

Steps

1. 01
   Chemical potential difference —drives→ Combustionestablishedclaim record

   chemical → thermal · loss to radiative

   • fuel, oxidiser and an ignition source; flame temperature 1500–2500 K

   gas · above ~700 K

   refs [1]
2. 02
   Combustion —produces→ Hot gasestablishedclaim record

   thermal → thermal

   refs [1]
3. 03
   Hot gas —drives→ Gas-dynamic expansionestablishedclaim record

   thermal → kinetic · loss to thermal

   • the gas has an upstream pressure state above the downstream nozzle or duct pressure

   gas

   refs [2] [3]
4. 04
   Gas-dynamic expansion —produces→ Bulk fluid flowestablishedclaim record

   kinetic → kinetic

   • a directed high-speed gas stream leaves the nozzle — the disequilibrium whose content is bulk fluid motion

   refs [3] [2]
5. 05
   Bulk fluid flow —drives→ Streaming potentialreplicatedclaim record

   kinetic → electrical · loss to thermal

   • flow past a charged surface

   aqueous medium required · bulk flow required

   refs [4] [5]
6. 06
   Streaming potential —produces→ Ionic currentestablishedclaim record

   electrical → electrical

   refs [5] [6]
7. 07
   Ionic current —converts into→ Electrical workestablishedclaim record

   electrical → electrical · loss to thermal

   • electrodes exchange the ionic current for an electronic current through the external load

   refs [7]

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 · 7

1. [1]
   A. Bejan. Advanced Engineering Thermodynamics (4th ed.) (2016)

   Wiley · doi:10.1002/9781119245964 · crossref ✓ 2026-09-19 · record
2. [2]
   NASA Glenn Research Center. Nozzle Design (Beginner's Guide to Aeronautics) (2024)

   NASA Glenn Research Center, Beginner's Guide to Aeronautics; page dated 2021-08-06, modified 2024-09-12 · www1.grc.nasa.gov/beginners-guide-to-aeronautics/nozzle-design/ · record
3. [3]
   J. Marlin Smith. Preliminary results in the NASA Lewis H2-O2 combustion MHD experiment (1979)

   NASA Technical Memorandum 79135 (E-9983); prepared for the 18th Symposium on the Engineering Aspects of Magnetohydrodynamics, Butte, Montana, June 18–20, 1979 · ntrs.nasa.gov/citations/19790014726 · record
4. [4]
   J. Yin, et al.. Generating electricity by moving a droplet of ionic liquid along graphene (2014)

   Nature Nanotechnology 9, 378–383 · doi:10.1038/nnano.2014.56 · crossref ✓ 2026-09-19 · record
5. [5]
   J. Yang et al.. Electrokinetic microchannel battery by means of electrokinetic and microfluidic phenomena (2003)

   Journal of Micromechanics and Microengineering 13, 963 · doi:10.1088/0960-1317/13/6/320 · crossref ✓ 2026-09-19 · record
6. [6]
   R. J. Hunter. Zeta Potential in Colloid Science: Principles and Applications (1981)

   Academic Press · doi:10.1016/C2013-0-07389-6 · crossref ✓ 2026-09-19 · record
7. [7]
   A. J. Bard, L. R. Faulkner. Electrochemical Methods: Fundamentals and Applications (2nd ed.) (2001)

   Wiley · book, no DOI · record