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Applied Mathematics and Mechanics

, Volume 12, Issue 1, pp 101–105 | Cite as

A note on a new theory of turbulence

  • Tsai Shu-tang
  • Lin Duo-min
Article

Abstract

In this paper, the creation and annihilation of turbulent eddies are described as elementary particles in the quantum field theory. An elementary particle may be considered as a solid entity as it exists in quantum theory, but a turbulent eddy is often changed in size and shape with time due to its energy dissipation in a turbulent field. Therefore, in order to apply the method of the quantum field theory to the turbulent field by analogy, the entity of the same eddy should be defined firstly. According to the linearized theory, the turbulent eddies with the similarity character in lime duration may he considered as the entity of the same eddy, and the creation and annihilation of turbulent eddies without the similar characters are related to the interaction term φiin equation (2.6). Then, the creation operator and annihilation operator similar to those in the quantum field theory are used to describe the state of turbulent eddy field. Finally, a “Schrödinger” equation of turbulent eddies is formulated based upon the nonlinear terms in the original N-S equation. Thus, a new turbulent eddy interaction theory similar to the quantum field theory is obtained.

Key words

turbulent eddies creation and annihilation of turbulent eddies turbulent eddy interaction 

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References

  1. [1]
    Leslie, D. C.Developments in the Theory of Turbulence, Oxford University Press, New York (1983).Google Scholar
  2. [2]
    Hinze, J. O.,Turbulence, McGraw-Hill Book Company (1975).Google Scholar
  3. [3]
    Zhu, H. Y.,Quantum Field Theory, Science Publishing House (1960). (in Chinese)Google Scholar
  4. [4]
    Tsai, S.T., et al., “The recent half-century developments of researches on turbulence”,Advances in Mechanics,10, 1 (1980), 16–36.Google Scholar

Copyright information

© Shanghai University of Technology 1991

Authors and Affiliations

  • Tsai Shu-tang
    • 1
    • 2
  • Lin Duo-min
    • 2
    • 3
  1. 1.Department of Modern MechanicsUniversity of Science and Technology of ChinaHefei
  2. 2.Shanghai Institute of Applied Math. and MechanicsShanghai
  3. 3.Shanghai University of TechnologyShanghai

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