State function Φ(U,E,t): connection of advection, dispersion and turbulence in natural streams at dynamic equilibrium
Abstract
The Navier-Stokes equation has been a standard of calculus in hydrodynamics; however, its conceptual and computational problems make it necessary to look for better alternatives. One of the causes of this failure is that it is a "reductionist" model, which does not involve the emergence of new laws at other scales. In this article, a different model is presented in detail, based on a State Function, with clear advantages, since it involves mechanisms at all levels, respecting the principle of "breaking temporal symmetry", according to irreversible thermodynamics.
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References
Stewart I. “¿Juega Dios a los dados?”. Grijalbo-Mondadori. Barcelona, 1996.
Stewart I. “17 ecuaciones que cambiaron el mundo”. Critica, Barcelona. 2013.
Stewart I. Ibid, 1996.
Annila A. & Makela T. Natural patterns of energy dispersal. Physics of life rev. 7PP 477-498. 2010.
-Annila A.& Ketto J. The capricious character of nature. Life ,ISSN 2075. 2012.
Prigogine I. ¿Tan solo una ilusión?, Matema- Tusquets, Barcelona. 1997.
Kondepudi D.& Prigogine I. Modern thermodynamics. From heat engines to dissipative structures. Wiley. New York., 1999.
Prigogine I. El fin de las certidumbres. Aguilar. Bogotá. 2001.
Prigogine I. Las leyes del caos. Critica, Barcelona. 1999.
Nicolis G. & Prigogine I. La estructura de lo complejo. Alianza. Editorial. Madrid. 1997.
Prigogine I. Ibid. 2001.
Miller J. H. A crude look at the whole. Basic Books, New York, 2015.
Anderson P.W. Moore is different. Science. Vol. 117. 1972.
Anderson P.W. Basic notions of condensed matter physics. Amazon. Finley Editor, Princeton. 2018.
Langbein W.B. The hydraulic geometry of shallow estuary. Hyd. Sci. JOU. 8: 3, pp 84-94. 2009.
Langbein W. & Leopold L. Quasi-equilibrium states in channel morphology. USGS. Vol 262. P782-794. 1964.
Kondepudi D.& Prigogine I. Ibid. 1999.
Prigogine I. Ibid. 1997.
Constain A. The svedberg number 1.54, as the basis of a State function describing the evolution of turbulence and dispersion. Intech Open, chapter of book. London. 2024..
Constain A. Ibid. 2024.
Nicolis G. & Prigogine I. Ibid. 1997.
Pugachev. V.S. Introducción a la teoría de las probabilidades. Editorial Mir. Moscú, 1973.
Nicolis G. & Prigogine I. Ibid. 1997.
Pugachev. V.S. Ibid. 1973.
Nekrasov. B. Hidraulica. Editorial Mir, Moscú, 1968.
Planck M. Treatise on thermodynamics. Dover. 1955.
Kirillin V.A., Sichev V.V. & Sheindlin A. Termodinámica técnica., Editorial Mir, Moscú. 1986.
‘
Morowitz. H. Entropia para biólogos. Blume, Madrid. 1975.
Constain A. Definición y análisis de una función de evolución de solutos dispersivos en flujos naturales. Dyna. No. 175. Medellín, 2012.
Gleick J. Caos: La creación de una ciencia. Critica. Barcelona. 2012.
Constain A. Ibid. 2024.
Constain A. Ibid. 2024.
Frenkel J. Kinetic theory of liquids. Dover. 1955.
Constain A. Ibid. 2024.
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