Overview
- Adds section on Plancherel’s theorem and a detailed problem on analytic solution of functional differential equations
- Extends chapter nine on characteristic functionals to greater explain the role of convection
- Reinforces concepts with problems on the theory and particular examples of turbulent flows such as periodic pipe flow
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About this book
This updated/augmented second edition retains it class-tested content and pedagogy as a core text for graduate courses in advanced fluid mechanics and applied science. The new edition adds revised sections, clarification, problems, and chapter extensions including a rewritten section on Schauder bases for turbulent pipe flow, coverage of Cantwell’s mixing length closure for turbulent pipe flow, and a section on the variational Hessian. Consisting of two parts, the first provides an introduction and general theory of fully developed turbulence, where treatment of turbulence is based on the linear functional equation derived by E. Hopf governing the characteristic functional that determines the statistical properties of a turbulent flow. In this section, Professor Kollmann explains how the theory is built on divergence free Schauder bases for the phase space of the turbulent flow and the space of argument vector fields for the characteristic functional. The second segment, presented over subsequent chapters, is devoted to mapping methods, homogeneous turbulence based upon the hypotheses of Kolmogorov and Onsager, intermittency, structural features of turbulent shear flows and their recognition.
Keywords
- Navier Stokes
- Fluid dynamics
- Characteristic functionals and the Hopf equations
- Structure of turbulent shear flows
- eddy
- scales
- intermittency
- Wall bounded turbulent flows
- turbulence
- fluid- and aerodynamics
Authors and Affiliations
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Bibliographic Information
Book Title: Navier-Stokes Turbulence
Book Subtitle: Theory and Analysis
Authors: Wolfgang Kollmann
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024
Hardcover ISBN: 978-3-031-59577-6Due: 27 July 2024
Softcover ISBN: 978-3-031-59580-6Due: 27 July 2024
eBook ISBN: 978-3-031-59578-3Due: 27 July 2024
Edition Number: 2
Number of Pages: X, 666
Number of Illustrations: 41 b/w illustrations, 122 illustrations in colour