Navier-Stokes Turbulence

Theory and Analysis

  • Wolfgang Kollmann

Table of contents

  1. Front Matter
    Pages i-xl
  2. Wolfgang Kollmann
    Pages 1-16
  3. Wolfgang Kollmann
    Pages 17-53
  4. Wolfgang Kollmann
    Pages 55-72
  5. Wolfgang Kollmann
    Pages 73-91
  6. Wolfgang Kollmann
    Pages 93-99
  7. Wolfgang Kollmann
    Pages 101-113
  8. Wolfgang Kollmann
    Pages 115-117
  9. Wolfgang Kollmann
    Pages 123-162
  10. Wolfgang Kollmann
    Pages 203-216
  11. Wolfgang Kollmann
    Pages 269-275
  12. Wolfgang Kollmann
    Pages 277-283
  13. Wolfgang Kollmann
    Pages 285-293
  14. Wolfgang Kollmann
    Pages 295-297
  15. Wolfgang Kollmann
    Pages 299-306
  16. Wolfgang Kollmann
    Pages 307-332
  17. Wolfgang Kollmann
    Pages 333-357
  18. Wolfgang Kollmann
    Pages 381-446
  19. Wolfgang Kollmann
    Pages 559-711
  20. Back Matter
    Pages 713-725

About this book


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.


Navier Stokes Fluid dynamics Characteristic functionals and the Hopf equations Structure of turbulent shear flows eddy scales intermittency Wall bounded turbulent flows turbulence

Authors and affiliations

  • Wolfgang Kollmann
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of California DavisDavisUSA

Bibliographic information

Industry Sectors