Navier-Stokes turbulence : theory and analysis /

Saved in:
Bibliographic Details
Author / Creator:Kollmann, Wolfgang, 1942- author.
Imprint:Cham, Switzerland : Springer, [2019]
©2019
Description:1 online resource (xl, 725 pages) : illustrations (some color)
Language:English
Subject:Turbulence.
Navier-Stokes equations.
Navier-Stokes equations.
Turbulence.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11998006
Hidden Bibliographic Details
ISBN:9783030318697
3030318699
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed December 2, 2019).
Summary:The book serves as a core text for graduate courses in advanced fluid mechanics and applied science. It consists 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. Subsequent chapters are devoted to mapping methods, homogeneous turbulence based upon the hypotheses of Kolmogorov and Onsager, intermittency, structural features of turbulent shear flows and their recognition. Outlines fundamental difficulties and presents several approaches for their analysis and solution; Emphasizes mathematical treatment of turbulent flows and methods for their computation; Reinforces concepts presented with problems to illustrate the theory and to introduce particular examples of turbulent flows such as periodic pipe flow; Includes several versions of the Hopf equation derived in spatial/Eulerian and material/Lagrangean description.
Standard no.:10.1007/978-3-030-31
Description
Summary:The book serves as a core text for graduate courses in advanced fluid mechanics and applied science. It consists 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. Subsequent chapters are devoted to mapping methods, homogeneous turbulence based upon the hypotheses of Kolmogorov and Onsager, intermittency, structural features of turbulent shear flows and their recognition. <p> </p> <p><br></p>
Physical Description:1 online resource (xl, 725 pages) : illustrations (some color)
Bibliography:Includes bibliographical references and index.
ISBN:9783030318697
3030318699