In this review, which includes some new material, the terms ‘availability’ and ‘irreversibility’ are used to denote certain concepts, their alternative use to denote certain physical quantities being avoided. The review commences with careful definition of the physical quantities, concepts and terms involved in the study, before proceeding to the formulation and proof of seven Theorems, three of which are treated in Part 1. The remainder of this part of the paper is devoted to the detailed evaluation of reversible work quantities, dealing specifically with such terms as available energy, free energy, exergy, anergy and essergy.
Part 2 (which will appear in the next issue) will be concerned principally with the evaluation of lost work output (or extra work input) due to irreversibility, while a critical, historical review will be presented in an Appendix.
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References
1.
McGlashanM. L.I. U. P. A. C. manual of symbols and terminology for physiochemical quantities and units1969, 13 (Butterworths, London).
2.
CallenH. B.Thermodynamics1960, 119 (Wiley, New York).
3.
FratzscherW.GruhnG.‘Die Bedeutung und Bestimmung des Umgebungszustands für exergetische Untersuchungen’ (The significance and definition of the environment state in exergy investigations), Brennst.-Wärme-Kraft196517 (No. 7), 337–341.
4.
TribusM.Thermostatics and thermodynamics1961 (Van Nostrand, Princeton, N. J.).
5.
GibbsJ. W. ‘A method of geometrical representation of the thermodynamic properties of substances by means of surfaces’, Trans. Conn. Acad. Arts Sci.1873II, 382. The collected works of J. Willard Gibbs 1931 I, 33 (Longmans Green, London).
6.
MaxwellJ. C.Theory of heat1875 (4th Edn), 187–189 (Longmans Green, London).
7.
BrugesE. A.Available energy and the second law analysis1959 (Butterworths, London).
8.
RantZ.‘Exergie, ein neues Wort für “technische Arbeitsfähigkeit”’ (Exergy, a new word for ‘technical work capacity’), Forsch.–Ing.–Wes.195622, 36.
9.
BaehrH. D.‘Definition und Berechnung von Exergie und Anergie’ (Definition and calculation of exergy and anergy), Brennst.-Wärme Kraft196517 (No. 1), 1.
10.
DenbighK. G.The principles of chemical equilibrium1971 (3rd Edn) (Cambridge University Press).
11.
EvansR. B.A contribution to the theory of thermo-economics1962, Department of Engineering Report No. 62–36, University of California, Los Angeles.
12.
GruhnG.KeinerE.‘Untersuchung von Zustands-diagrammen mit der Exergie’ (An investigation of state diagrams with exergy), Brennst.-Wärme-Kraft196113 (No. 11), 501–502 (Special Number on Exergy).
13.
MarchalR.La thermodynamique et le théorème de l'energie utilisable1956, Chapter VI (Dunod, Paris).
14.
KeenanJ. H. ‘A steam chart for second law analysis’, Mech. Engng193254, 195–204.
15.
EvansR. B. ‘The formulation of essergy’, Thayer News Fall 1968, Thayer School of Engineering, Dartmouth College, Hanover, N. H.
16.
CimberlisB. Contribution to ‘Discussion on the teaching of thermodynamics’, Proc. Int. Conf. on Thermodynamics, Cardiff 1970 (edited by LandsbergP. T.), 549 (Butterworths, London).
17.
DarrieusG. ‘Définition du rendement thermodynamique des turbines à vapeur’, Revue gén. Elect.193027, 963–968, See also: ‘The rational definition of steam turbine efficiencies’, Engineering 1930 130, 283–285.
18.
RantZ.‘Der Einfluss der Luftvorwärmung auf die Nichtumkehrbarkeiten der Verbrennung’ (The influence of air preheating on the irreversibilities of combustion), Brennst. -Wärme-Kraft196113 (No. 11), 496. (Special Number on Exergy).
19.
RogenerH.‘Exergieverluste im Dampfkraftprozess’ (Exergy loss in the steam power process), Brennst.-Wärme-Kraft196113 (No. 11), 493–495.
20.
GaggioliR. A. ‘The concepts of thermodynamic friction, thermal available energy, chemical available energy and thermal energy’, Chem. Engng Sci.196217, 523–530.
21.
GaggioliR. A. ‘The concept of available energy’, Chem. Engng Sci.196116, 87–96.
22.
StodolaA.Die Dampfturbinen (Steam turbines)1905, 3 Auflage, 435–440 (Springer Verlag, Berlin). See also translation by L. C. Loewenstein from the 6th German edition, Steam and gas turbines 1945 II, 1275 (Smith, New York).
23.
BaehrH. D.‘Zur Definition exergetischer Wirkungsgrade – Eine systematische Untersuchung’ (On the definition of exergetic efficiency – A systematic examination), Brennst.-Wärme-Kraft196820 (No. 5), 197–200.
24.
FratzscherW.‘Zum Begriff des exergetischen Wirkungsgrad’ (On the concept of exergetic efficiency), Brennst.-Wärme-Kraft196113 (No. 11), 486–493. (Special Number on Exergy).
25.
HorlockJ. H. ‘The rational efficiency of power plants with external combustion’, Proc. Instn mech. Engrs1963–64178 (Part 3 1(v)), 43–52.
26.
KeenanJ. H. ‘Availability and irreversibility in thermodynamics’, Br. J. appl. Phys.19512, 183.
27.
TaitP. G.Sketch of thermodynamics1868, 100 (Edinburgh University Press).
28.
MaxwellJ. C.Theory of heat1871 (1st Edn), 186 (Longmans Green, London).
29.
MaxwellJ. C. ‘Tait's “Thermodynamics”’, Nature187817, 278. Scientific papers of J. Clerk Maxwell 1890 2, 666 (Cambridge University Press).
30.
ThomsonW. ‘On the restoration of mechanical energy from an unequally heated space’, Phil. Mag.18535 (Series IV), 102–105. Mathematical and physical papers, Sir William Thomson 1882 1, 554 (Cambridge University Press).
31.
ThomsonW. ‘On thermodynamic motivity’, Phil. Mag. 18797 (Series V), 348. Mathematical and physical papers. Sir William Thomson, 1882 1, 456 (Cambridge University Press).
32.
ClausiusR.‘Ueber verschiedene für die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wärmetheorie’ (On several convenient forms of the fundamental equations of the mechanical theory of heat), Poggendorffs Annalen1865, 125, 390. (English translation in Mechanical theory of heat 1867 (edited by T. A. Hirst), 357 (Van Voorst, London).
33.
KeenanJ. H.Thermodynamics1941 (Wiley, New York).
34.
GouyM. ‘Sur les transformations et l'équilibre en thermodynamique’, Comptes Rendus, Paris1889108, 509.
StodolaA.‘Die Kreisprozesse der Gasmachine’ (Gas engine cycles), Z. Ver. dt. Ing.189842, 1088.
37.
JouguetM. E. ‘Le théorème de M. Gouy et quelques-unes de ses applications’, Revue Méc., Paris190720, 213–238.
38.
StodolaA.Steam turbines1905 (2nd Edn) (translated by LoewensteinL. C.), 402 (Van Nostrand, New York).
39.
HaywoodR. W.Analysis of engineering cycles1967, 252–260 (Pergamon Press, London).
40.
GasparovicN.‘Schrifttum über Exergie’ (Literature on exergy), Brennst.-Wärme-Kraft196113 (No. 11), 502. (Special Number on Exergy).
41.
BaehrH. D.Energie, Exergie, Anergie (Energy, exergy, anergy) – Energie und Exergie1965, 5–20 (VDI – Verlag GmbH, Düsseldorf).
42.
RantZ. ‘The thermodynamics of heat processes’, Strojniski vestnik19628, 1–2 (in Czech.).
43.
RantZ.‘Die Heiztechnik und der zweite Haupstatz der Thermodynamik’ (Heat engineering and the second law of thermodynamics), Gaswärme196312 (No. 8), 297–304.
44.
EvansR. B.A proof that essergy is the only consistent measure of potential work (for chemical systems)Ph. D. Thesis, Dartmouth College, Hanover, N. H., 1969. (University Microfilms 70–188, Ann Arbor, Mich.).
