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383:(Lord Kelvin) in 1852. Lord Kelvin deduced that a subset of the above-mentioned irreversible dissipative processes will occur unless a process is governed by a "perfect thermodynamic engine". The processes that Lord Kelvin identified were friction, diffusion, conduction of heat and the absorption of light.
220:
equation, which is free of dissipation, is solved by a numerical approximation method, the energy of the initial wave may be reduced in a way analogous to a diffusional process. Such a method is said to contain 'dissipation'. In some cases, "artificial dissipation" is intentionally added to improve
179:
formalism. A dissipative process requires a collection of admissible individual
Hamiltonian descriptions, exactly which one describes the actual particular occurrence of the process of interest being unknown. This includes friction and hammering, and all similar forces that result in decoherency of
171:
regarded friction as the prime example of an irreversible thermodynamic process. In a process in which the temperature is locally continuously defined, the local density of rate of entropy production times local temperature gives the local density of dissipated power.
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Dissipation is the process of converting mechanical energy of downward-flowing water into thermal and acoustical energy. Various devices are designed in stream beds to reduce the kinetic energy of flowing waters to reduce their
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216:") refers to certain side-effects that may occur as a result of a numerical solution to a differential equation. When the pure
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The term is also applied to the loss of energy due to generation of unwanted heat in electric and electronic circuits.
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97:(reduces the capacity of the combination of the two bodies to do work), but never decreases in an isolated system.
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Thomas, J.W. Numerical
Partial Differential Equation: Finite Difference Methods. Springer-Verlag. New York. (1995)
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is dissipative because it is a transfer of energy other than by thermodynamic work or by transfer of matter, and
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A formal, mathematical definition of dissipation, as commonly used in the mathematical study of
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is said to dissipate. The precise nature of the effects depends on the nature of the wave: an
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A particular occurrence of a dissipative process cannot be described by a single individual
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at a certain rate. The entropy production rate times local temperature gives the dissipated
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from an initial form to a final form, where the capacity of the final form to do
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196:"The conversion of mechanical energy into heat is called energy dissipation." –
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Dissipative thermodynamic processes are essentially irreversible because they
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The concept of dissipation was introduced in the field of thermodynamics by
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On the universal tendency in nature to the dissipation of mechanical energy
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Irreversible transformation of energy into forms less capable of doing work
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471:(1926). "Ăśber die BegrĂĽndung des zweiten Hauptsatzes der Thermodynamik",
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Thermodynamic Theory of
Structure, Stability, and Fluctuations
30:"Dissipative" redirects here. For the mathematical term, see
89:, in conduction and radiation from one body to another, the
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357:, for instance, may dissipate close to the surface due to
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Electrical current flow through an electrical resistance (
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127:. Important examples of irreversible processes are:
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is less than that of the initial form. For example,
558:
Philosophical
Magazine, Ser. 4, p. 304 (1852).
289:Important examples of irreversible processes are:
184:or directed energy flow into an indirected or more
473:Sitzungsber. Preuss. Akad. Wiss., Phys. Math. Kl.
1527:
361:with the land mass, and at higher levels due to
139:through a flow resistance, diffusion (mixing),
535:Nonequilibrium Thermodynamics: Ensemble Method
433:
341:. In many cases, the "lost" energy raises the
85:previously concentrated energy. Following the
580:
265:. Very often, these devices look like small
537:, Kluwer Academic Publications, Dordrecht,
251:
587:
573:
284:
119:Processes with defined local temperature
313:
212:, numerical dissipation (also known as "
203:
116:with an associated increase in entropy.
440:(2 ed.). Oxford University Press.
434:Escudier, Marcel; Atkins, Tony (2019).
273:, where water flows vertically or over
14:
1528:
1207:Integrated gasification combined cycle
437:A Dictionary of Mechanical Engineering
293:Heat flow through a thermal resistance
1251:Radioisotope thermoelectric generator
926:Quantum chromodynamics binding energy
568:
1484:
516:, Wiley-Interscience, London, 1971,
446:10.1093/acref/9780198832102.001.0001
296:Fluid flow through a flow resistance
235:measure-preserving dynamical systems
180:energy—that is, conversion of
1508:
1393:World energy supply and consumption
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108:is the irreversible conversion of
25:
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398:General equation of heat transfer
225:characteristics of the solution.
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1546:Non-equilibrium thermodynamics
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345:of the system. For example, a
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410:Principle of maximum entropy
87:second law of thermodynamics
53:. In a dissipative process,
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386:
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10:
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375:Timeline of thermodynamics
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368:
237:, is given in the article
79:transfer of energy as heat
29:
1467:
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1197:Fossil fuel power station
1165:
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859:Electric potential energy
824:
804:Thermodynamic temperature
784:Thermodynamic free energy
779:Thermodynamic equilibrium
625:
602:
191:
1268:Concentrated solar power
252:In hydraulic engineering
188:distribution of energy.
1536:Thermodynamic processes
809:Volume (thermodynamics)
789:Thermodynamic potential
692:Mass–energy equivalence
489:, parole Ă©ditions, 2012
764:Quantum thermodynamics
754:Laws of thermodynamics
635:Conservation of energy
285:Irreversible processes
102:mechanical engineering
1541:Thermodynamic entropy
881:Interatomic potential
672:Energy transformation
314:Waves or oscillations
210:computational physics
204:Computational physics
149:electrical resistance
1329:Efficient energy use
1302:Airborne wind energy
1280:Solar thermal energy
1187:Electricity delivery
799:Thermodynamic system
744:Irreversible process
277:to lose some of its
51:thermodynamic system
47:irreversible process
45:is the result of an
32:Dissipative operator
1351:Energy conservation
1273:Photovoltaic system
1246:Nuclear power plant
931:Quantum fluctuation
794:Thermodynamic state
769:Thermal equilibrium
415:Two-dimensional gas
223:numerical stability
214:Numerical diffusion
1388:Sustainable energy
1366:Energy development
1356:Energy consumption
1192:Energy engineering
393:Entropy production
302:Chemical reactions
299:Diffusion (mixing)
141:chemical reactions
133:thermal resistance
75:thermodynamic work
1551:Dynamical systems
1523:
1522:
1290:Solar power tower
936:Quantum potential
774:Thermal reservoir
677:Energy transition
533:Eu, B.C. (1998).
455:978-0-19-883210-2
363:radiative cooling
333:, typically from
259:erosive potential
110:mechanical energy
16:(Redirected from
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1449:Carbon footprint
1383:Renewable energy
1224:Hydroelectricity
1214:Geothermal power
657:Energy condition
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508:Glansdorff, P.,
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355:atmospheric wave
198:François Roddier
147:flow through an
145:electric current
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986:Energy carriers
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165:produce entropy
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121:produce entropy
49:that affects a
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114:thermal energy
39:thermodynamics
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1048:Hydrogen fuel
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869:Gravitational
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739:Heat transfer
737:
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734:Heat capacity
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687:Negative mass
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673:
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667:Energy system
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544:
543:0-7923-4980-6
540:
536:
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523:
522:0-471-30280-5
519:
515:
511:
510:Prigogine, I.
505:
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405:Flood control
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324:
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308:
307:Joule heating
304:
301:
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291:
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282:
280:
276:
272:
268:
264:
263:river bottoms
261:on banks and
260:
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240:wandering set
236:
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153:Joule heating
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33:
19:
1512:
1500:
1488:
1476:
1258:Oil refinery
1202:Cogeneration
1135:Nuclear fuel
941:Quintessence
729:Free entropy
662:Energy level
626:Fundamental
555:
550:
534:
529:
513:
504:
495:
486:
485:Roddier F.,
480:
472:
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429:
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323:oscillations
317:
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238:
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207:
197:
195:
174:
162:
118:
105:
99:
93:varies with
65:, or system
61:, bulk flow
42:
36:
1514:WikiProject
1334:Agriculture
1263:Solar power
1229:Tidal power
1103:Natural gas
1093:Fossil fuel
1036:Latent heat
1004:Electricity
554:W. Thomson
349:that loses
343:temperature
229:Mathematics
177:Hamiltonian
106:dissipation
95:temperature
43:dissipation
1530:Categories
1297:Wind power
1219:Hydropower
1170:components
1125:Hydropower
1115:Geothermal
1065:Sound wave
976:Zero-point
906:Mechanical
891:Ionization
864:Electrical
759:Negentropy
640:Energetics
475:, 453—463.
469:Planck, M.
421:References
373:See also:
339:turbulence
267:waterfalls
159:Definition
137:fluid flow
131:through a
71:transforms
1408:Australia
1344:Transport
1339:Computing
1307:Wind farm
1234:Wave farm
1108:Petroleum
1088:Bioenergy
1060:Radiation
999:Capacitor
921:Potential
351:amplitude
218:advection
186:isotropic
129:heat flow
67:potential
18:Dissipate
1478:Category
1043:Hydrogen
1009:Enthalpy
911:Negative
901:Magnetic
886:Internal
844:Chemical
709:Enthalpy
628:concepts
545:, p. 49,
524:, p. 61.
512:(1971).
387:See also
359:friction
335:friction
271:cascades
247:Examples
182:coherent
59:internal
1490:Commons
1318:Use and
1177:Biomass
1147:Radiant
994:Battery
966:Thermal
961:Surface
946:Radiant
916:Phantom
896:Kinetic
874:Binding
854:Elastic
837:Nuclear
832:Binding
719:Entropy
617:Outline
607:History
369:History
325:, lose
91:entropy
83:spreads
63:kinetic
1502:Portal
1423:Mexico
1418:Europe
1413:Canada
1398:Africa
1321:supply
1130:Marine
1019:Fossil
971:Vacuum
724:Exergy
645:Energy
596:Energy
541:
520:
452:
327:energy
275:riprap
192:Energy
169:Planck
143:, and
55:energy
1442:Misc.
1152:Solar
956:Sound
825:Types
699:Power
650:Units
612:Index
329:over
319:Waves
125:power
112:into
1403:Asia
1157:Wind
1098:Coal
1070:Work
1031:Heat
1014:Fuel
951:Rest
849:Dark
814:Work
682:Mass
539:ISBN
518:ISBN
450:ISBN
347:wave
331:time
221:the
1024:Oil
442:doi
337:or
321:or
269:or
208:In
155:).
100:In
37:In
1532::
448:.
365:.
309:).
281:.
243:.
167:.
135:,
104:,
69:)
41:,
588:e
581:t
574:v
458:.
444::
151:(
57:(
34:.
20:)
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