Advertisement

Plane vortex motion of a continuous medium: description of air rotation in cyclones and anticyclones

  • Alexander Yakovlevich BraginskyEmail author
Article
  • 35 Downloads

Abstract

The article deals with the plane vortex motion of a continuous medium, which is described by the equations of motion obtained from the minimum action. It is shown that in the stationary case, the angular velocity of rotation of the continuous medium increases with decreasing pressure and decreases with increasing pressure. This is in good agreement with the description of air movement in cyclones and anticyclones. The article shows that within the framework of Euler hydrodynamics it is impossible to describe anticyclones. A critique of Euler’s hydrodynamic equations is presented. It is proposed to replace the Euler hydrodynamic equations with the equations of motion obtained from the action minimum. It is shown that this problem is related to the solution of the problem of the Clay Mathematics Institute—description of turbulence in a continuous medium.

Keywords

Vortex motion Continuous medium Kadić–Edelen forces 

Mathematics Subject Classification

76A02 

Notes

References

  1. 1.
    Landau, L.D., Lifshitz, E.M.: Hydrodynamics, vol. 6. Nauka, Moscow (1988)Google Scholar
  2. 2.
    Braginsky, A.Y.: The computation of the Kadić–Edelen forces using the principle of least action. AJMPA 01(02), 1 (2019)Google Scholar
  3. 3.
    Kadić, A., Edelen, D.G.B.: A Gauge Theory of Dislocations and Disclinations. Lecture Notes in Physics, vol. 174, p. 168. Springer, Heidelberg (1983)CrossRefGoogle Scholar
  4. 4.
    Landau, L.D., Lifshitz, E.M.: Elasticity Theory, vol. 7. Nauka, Moscow (1987)zbMATHGoogle Scholar
  5. 5.
    Braginsky, A.Y.: Calculation of the centrally symmetric and vortex forces acting on momentum in distortion tensor field: explanation of high-temperature plasma and vortex motions. JAMP 7(4), 809 (2019)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institute of PhysicsUFURostov-on-DonRussia

Personalised recommendations