L. N. Pyatnitsky

Turbulence Nature and the Inverse Problem (eBook, PDF)

• Format: PDF

Produktbeschreibung

Hydrodynamic equations well describe averaged parameters of turbulent steady flows, at least in pipes where boundary conditions can be estimated. The equations might outline the parameters fluctuations as well, if entry conditions at current boundaries were known. This raises, in addition, the more comprehensive problem of the primary perturbation nature, noted by H.A. Lorentz, which still remains unsolved. Generally, any flow steadiness should be supported by pressure waves emitted by some external source, e.g. a piston or a receiver. The wave plane front in channels quickly takes convex configuration owing to Rayleigh's law of diffraction divergence. The Schlieren technique and pressure wave registration were employed to investigate the wave interaction with boundary layer, while reflecting from the channel wall. The reflection induces boundary-layer local separation and following pressure rapid increase within the perturbation zone. It propagates as an acoustic wave packet of spherical shape, bearing oscillations of hydrodynamic parameters. Superposition of such packets forms a spatio-temporal field of oscillations fading as 1/r. This implies a mechanism of the turbulence. Vorticity existing in the boundary layer does not penetrate in itself into potential main stream. But the wave leaving the boundary layer carries away some part of fluid along with frozen-in vorticity. The vorticity eddies form another field of oscillations fading as 1/r². This implies a second mechanism of turbulence. Thereupon the oscillation spatio-temporal field and its randomization development are easy computed. Also, normal burning transition into detonation is explained, and the turbulence inverse problem is set and solved as applied to plasma channels created by laser Besselian beams.

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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 197
• Erscheinungstermin: 22. März 2009
• Englisch
• ISBN-13: 9789048122516
• Artikelnr.: 37411413

Inhaltsangabe

The turbulence problem.- Fluid motion.- Distribution of parameters in viscous flow.- Perturbations in viscous flow.- Perturbation in channels.- Spatio-temporal field of perturbations in channels.- Evolution of velocity oscillation field.- Experimental substantiation of turbulence wave model.- Transition from normal combustion to detonation.- An inverse problem of turbulence.

Rezensionen

From the reviews:
"This is an interesting book, whose focus is on the nature of turbulent fluctuations. ... This book will be particularly intriguing to specialists in the field and also to scientists who are interested in the many aspects of scientific debate." (Barbara Vanda Villone, Mathematical Reviews, Issue 2012 e)