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Origin of Turbulence

Energy Gradient Theory

  • Book
  • © 2022

Overview

Authors:
  1. Hua-Shu Dou

    1. Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, China

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  • Provides discovery of the origin of turbulence from Navier–Stokes equations
  • Turbulence is found to be composed of singularities of flow field
  • Explains the mechanism of flow stability by energy gradient theory

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xxiv
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  2. Fundamentals

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Hua-Shu Dou
      Pages 3-15

    3. Equations of Fluid Flow

      • Hua-Shu Dou
      Pages 17-30

    4. Fundamental of Stability of Parallel Flows

      • Hua-Shu Dou
      Pages 31-52

  4. Applications

    1. Front Matter

      Pages 315-315
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    2. Stability of Flow in Curved Duct

      • Hua-Shu Dou
      Pages 317-338

    3. Stability of Flow in Wake Behind Circular Cylinder

      • Hua-Shu Dou
      Pages 339-362

    4. Application and Stability of Batchelor Vortex Flow

      • Hua-Shu Dou
      Pages 363-386

    5. Buoyancy-Driven Instability and Growth

      • Hua-Shu Dou
      Pages 387-423

    6. Stability of Non-Newtonian Fluid Flows

      • Hua-Shu Dou
      Pages 425-479

  5. Back Matter

    Pages 481-489
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Keywords

About this book

This book presents the new discovery of the origin of turbulence from Navier–Stokes equations. The fully developed turbulence is found to be composed of singularities of flow field. The mechanisms of flow stability and turbulent transition are described using the energy gradient theory, which states all the flow instability and breakdown resulted from the gradient of the total mechanical energy normal to the flow direction. This approach is universal for flow instability in Newtonian flow and non-Newtonian flow. The theory has been used to solve several problems, such as plane and pipe Poiseuille flows, plane Couette flow, Taylor–Couette flow, flows in straight coaxial annulus, flows in curved pipes and ducts, thermal convection flow, viscoelastic flow, and magnet fluid flow, etc. The theory is in agreement with results from numerical simulations and experiments. The analytical method used in this book is novel and is different from the traditional approaches. This book includes the fundamental basics of flow stability and turbulent transition, the essentials of the energy gradient theory, and the applications of the theory to several practical problems. This book is suitable for researchers and graduate students.

Authors and Affiliations

  • Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, China

    Hua-Shu Dou

About the author

Dr. Hua-Shu Dou received his Ph.D. from Beijing University of Aeronautics and Astronautics in 1991. Then, he worked at Tsinghua University, The University of Sydney, and National University of Singapore from 1991 to 2011. Since 2011, he is a chair professor at Zhejiang Sci-Tech University. His researches focused on flow instability and turbulent transition, computational fluid dynamics, combustion and detonation, turbomachinery, non-Newtonian flow and multiphase flows, etc. He holds more than 160 published papers and one co-authored book published by Springer. He is an AIAA associate fellow and Member of APS and ASME.

Bibliographic Information

  • Book Title: Origin of Turbulence

  • Book Subtitle: Energy Gradient Theory

  • Authors: Hua-Shu Dou

  • DOI: https://doi.org/10.1007/978-981-19-0087-7

  • Publisher: Springer Singapore

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022

  • Hardcover ISBN: 978-981-19-0086-0Published: 29 March 2022

  • Softcover ISBN: 978-981-19-0089-1Published: 30 March 2023

  • eBook ISBN: 978-981-19-0087-7Published: 25 March 2022

  • Edition Number: 1

  • Number of Pages: XXIV, 489

  • Number of Illustrations: 100 b/w illustrations, 153 illustrations in colour

  • Topics: Engineering Fluid Dynamics, Plasma Physics

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