Advertisement

Applied Mathematics and Mechanics

, Volume 4, Issue 4, pp 501–510 | Cite as

The extremity laws of hydro-thermodynamics

  • Huang Wan-li
Article

Abstract

This paper presents the law of maximum rate of energy dissipation in hydrodynamics and also in general continuum dynamics as an addition to the classical conservation laws expressed in the equation of continuity and the equations of motion. The corollary of the law is Bëlanger-Böss theorem of minimum reserved specific energy in applied hydraulics.

The mechanical energy dissipated is transformed into heat reserved in the substance. The rate of energy dissipation at a time at a given temperature gives rise to the increase in entropy production. Hence the maximum rate of energy dissipation suggests itself the idea of reformulation of the second law of thermodynamics that the rate of entropy production in mechanical motion is always the maximum possible.

The proposed extremity law in continuum dynamics has been derived from the variational principle and the reformulated second law of thermodynamics analyzed microscopically in the paper. The two laws together form the extremity laws of hydrothermodynamics.

Keywords

Entropy Mathematical Modeling Specific Energy Energy Dissipation Industrial Mathematic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Böss, P.,Berechnung der Wasselspiegellange beim Wechsel des Fliessjustandes, Springer, Berling, (1919), 20, 52Google Scholar
  2. [2]
    Belanger, J.B.,Essai sur la solution numerique de quelques problème relatifs au mouvement permanent des eaux courantes, (1928).Google Scholar
  3. [3]
    Jaeger, CharlesEngineering Fluid Mechanics, (1949).Google Scholar
  4. [4]
    Huang Wan-Li,The law of maximum rate of energy dissipation in continuum dynamics, Journal of Tsinghua University, Vol. 21, No. 1, (1981), (in Chinese)Google Scholar
  5. [5]
    Wisniewski, S. et al.,Thermodynamics of Non-equilibrium Processes, (1976), 22, 2.Google Scholar
  6. [6]
    Prigogine, I.,Microscopic Aspects of Entropy in Foundations of Continuum Thermodynamics, edited by Dominos et al., (1973), 106.Google Scholar
  7. [7]
    Woods, L.C.,Thermodynamics of Fluid Systems, (1975), 68.Google Scholar

Copyright information

© Hust Press 1983

Authors and Affiliations

  • Huang Wan-li

There are no affiliations available

Personalised recommendations