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On wave properties of an incompressible turbulent fluid

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  • Troshkin, O.V.

Abstract

The problem of the propagation of small disturbances of the averaged field of velocities, Reynolds stresses and the pressure in an incompressible turbulent medium, with negligible molecular and turbulent diffusions, is considered. The availability of a limit velocity of such a propagation and the existence of a characteristic cone similar to the Mach cone are discussed. A characteristic equation analogous to the equation of “C±-characteristics” in gas dynamics is derived. The calculation of the geometry of the initial part of a plane turbulent jet running out of the channel into a rest liquid is carried out. Angles of slopes of straight lines of internal and external boundaries of the mixing layer of a jet near the exit section of a channel are related to distributions of steady velocity and Reynolds stresses in the channel. The formal analogy existing between waves of small disturbances of an inviscous and incompressible turbulent medium and electromagnetic waves is established.

Suggested Citation

  • Troshkin, O.V., 1990. "On wave properties of an incompressible turbulent fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(2), pages 881-899.
    • Handle: RePEc:eee:phsmap:v:168:y:1990:i:2:p:881-899
    DOI: 10.1016/0378-4371(90)90036-R
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    1. Reynolds, Clark W., 1970. "Changing Trade Patterns and Trade Policy in Mexico: Some Lessons for Developing Countries," Food Research Institute Studies, Stanford University, Food Research Institute, vol. 9(1), pages 1-40.
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