A New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows

Volume I: Theoretical Background and Development of an Anisotropic Hybrid k-omega Shear-Stress Transport/Stochastic Turbulence Model

  • László Könözsy

Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 120)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. László Könözsy
    Pages 1-42
  3. László Könözsy
    Pages 43-55
  4. Back Matter
    Pages 137-141

About this book


This book gives a mathematical insight--including intermediate derivation steps--into engineering physics and turbulence modeling related to an anisotropic modification to the Boussinesq hypothesis (deformation theory) coupled with the similarity theory of velocity fluctuations. 

Through mathematical derivations and their explanations, the reader will be able to understand new theoretical concepts quickly, including how to put a new hypothesis on the anisotropic Reynolds stress tensor into engineering practice. The anisotropic modification to the eddy viscosity hypothesis is in the center of research interest, however, the unification of the deformation theory and the anisotropic similarity theory of turbulent velocity fluctuations is still missing from the literature. This book brings a mathematically challenging subject closer to graduate students and researchers who are developing the next generation of anisotropic turbulence models.

Indispensable for graduate students, researchers and scientists in fluid mechanics and mechanical engineering.


Anisotropic Reynolds stress tensor Beyond the Boussinesq hypothesis Reynolds momentum equation Turbulent kinetic energy equation Galilean invariance of the Reynolds stress tensor Hybrid k-omega SST turbulence models Similarity theory of turbulent velocity fluctuations Mechanical similitudes of oscillatory motions Boundary layer and shear flows Advanced stochastic turbulence models

Authors and affiliations

  • László Könözsy
    • 1
  1. 1.Centre for Computational Engineering SciencesCranfield UniversityCranfield, BedfordshireUK

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-030-13542-3
  • Online ISBN 978-3-030-13543-0
  • Series Print ISSN 0926-5112
  • Series Online ISSN 2215-0056
  • Buy this book on publisher's site
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