Fluid Mechanics and Its Applications

Turbulence Nature and the Inverse Problem

Authors: Pyatnitsky, L. N.

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  • Discusses the origin of primary perturbation in turbulent flows
  • Considers two mechanisms of turbulence
  • Offers a technique for computing spacio-temporal field of turbulent flow parameter oscillations
  • Offers a technique for numerical study of randomization process of oscillating parameters
  • Provides step-by-step explanation of slow combustion transition into detonation
  • Contains the turbulence inverse problem definition and solution technique
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Hardcover $169.99
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Softcover $169.99
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About this book

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.

Reviews

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)

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-90-481-2251-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-90-481-2250-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.99
price for USA in USD
  • ISBN 978-90-481-8480-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Turbulence Nature and the Inverse Problem
Authors
Series Title
Fluid Mechanics and Its Applications
Series Volume
89
Copyright
2009
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-90-481-2251-6
DOI
10.1007/978-90-481-2251-6
Hardcover ISBN
978-90-481-2250-9
Softcover ISBN
978-90-481-8480-4
Series ISSN
0926-5112
Edition Number
1
Number of Pages
XVI, 197
Topics