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Navier-Stokes Turbulence

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Cover of 'Navier-Stokes Turbulence'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction
  3. Altmetric Badge
    Chapter 2 Navier–Stokes Equations
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    Chapter 3 Basic Properties of Turbulent Flows
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    Chapter 4 Flow Domains and Bases
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    Chapter 5 Phase and Test Function Spaces
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    Chapter 6 Probability Measure and Characteristic Functional
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    Chapter 7 Functional Differential Equations
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    Chapter 8 Characteristic Functionals for Incompressible Turbulent Flows
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    Chapter 9 Fdes for the Characteristic Functionals
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    Chapter 10 Solution of Hopf-Type Equations in the Spatial Description
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    Chapter 11 Finite-Dimensional Characteristic Functions, Pdfs and Cdfs Based on the Dirac Distribution
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    Chapter 12 Properties and Construction of Mappings
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    Chapter 13 $$\mathcal{M}_1(1)$$ : Single Scalar in Homogeneous Turbulence
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    Chapter 14 $$\mathcal{M}_1(N)$$ : Mappings for Velocity–Scalar and Position–Scalar Pdfs
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    Chapter 15 Integral Transforms and Spectra
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    Chapter 16 Intermittency
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    Chapter 17 Equilibrium Theory of Kolmogorov and Onsager
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    Chapter 18 Homogeneous Turbulence
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    Chapter 19 Length and Time Scales
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    Chapter 20 The Structure of Turbulent Flows
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    Chapter 21 Wall-Bounded Turbulent Flows
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    Chapter 22 The Limit of Infinite Reynolds Number for Incompressible Fluids
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    Chapter 23 Appendix A: Mathematical Tools
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    Chapter 24 Appendix B: Example for a Measure on a Ball in Hilbert Space
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    Chapter 25 Appendix C: Scalar and Vector Bases for Periodic Pipe Flow
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    Chapter 26 Appendix D: Green’s Function for Periodic Pipe Flow
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    Chapter 27 Appendix E: Semi-empirical Treatment of Simple Wall-Bounded Flows
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    Chapter 28 Appendix F: Solutions to Problems
Attention for Chapter 13: $$\mathcal{M}_1(1)$$ : Single Scalar in Homogeneous Turbulence
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Chapter title
$$\mathcal{M}_1(1)$$ : Single Scalar in Homogeneous Turbulence
Chapter number 13
Book title
Navier-Stokes Turbulence
Published by
Springer, Cham, January 2019
DOI 10.1007/978-3-030-31869-7_13
Book ISBNs
978-3-03-031868-0, 978-3-03-031869-7
Authors

Wolfgang Kollmann