Turbulence in rotating, stratified and electrically conducting fluids (Q2851599)

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scientific article; zbMATH DE number 6215421
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Turbulence in rotating, stratified and electrically conducting fluids
scientific article; zbMATH DE number 6215421

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    11 October 2013
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    turbulence
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    rotating
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    stratified flow
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    homogenous space
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    waves
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    instabilities
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    evolutions
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    Kolmogorov's theory
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    Richardson's cascade
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    Karman-Howarth equation
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    Turbulence in rotating, stratified and electrically conducting fluids (English)
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    The modern problems of fluids flows in rotating, stratified and electrically conducting flows are analyzing in the 19 chapters book (581 pages). The author is studying the main aspects of interaction between waves and turbulence in a background rotating strong stratified flows and in flows with ambient magnetic fields. The first part of book (seven chapters) are devoted to analyzes of general aspects of fluid dynamic of ideal, real and electrically conducting mediums. Traditional instabilities (Rayleigh, Taylor, Bénard) and transition to turbulence are rewiring. Approaches developed in this book are based on so-called first principals hydrodynamic and non-reversible thermodynamic. The second part of book (8--11 chapters) is analyzing turbulence in the absence of body forces. Here the simplest results of turbulence is considered: kinematics and statistics of small fluctuations, correlation and structure function in isotropic turbulence, Richardson's cascade, Kolmogorov's theory, and Karman-Howarth equation. The deep discussion of several aspects of turbulence flows when the Coriolis, buoyance or Lorentz forces are playing main role are presented in the largest part III (12--19 chapters) of book. The book contains lot of experimental information, and other useful materials. To the end I give the very sophisticated author's remark ``Despite 150 years of intense scientific study, nature has largely resisted our attempts to conquer turbulence, keeping most of her secrets to herself''.NEWLINENEWLINE Discussed in this book results are very important for astrophysical, geophysical, and engineering problems. Phenomena that are analyzed may be useful not only for students and scientists but for all who are interesting on classical hydrodynamics, magneto hydrodynamics, turbulence, and non-equilibrium thermodynamics.
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