Skip to main content
  • Book
  • © 2022

Origin of Turbulence

Energy Gradient Theory

Authors:

  • 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

  • 14k Accesses

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • ISBN: 978-981-19-0087-7
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book USD 169.99
Price excludes VAT (USA)

This is a preview of subscription content, access via your institution.

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xxiv
  2. Fundamentals

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Hua-Shu Dou
      Pages 3-15
    3. Equations of Fluid Flow

      • Hua-Shu Dou
      Pages 17-30
  3. Essentials of Energy Gradient Theory

    1. Front Matter

      Pages 53-53
    2. Stability of Curved and Swirl Flows

      • Hua-Shu Dou
      Pages 251-270
  4. Applications

    1. Front Matter

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

      • Hua-Shu Dou
      Pages 317-338
    3. Buoyancy-Driven Instability and Growth

      • Hua-Shu Dou
      Pages 387-423
    4. Stability of Non-Newtonian Fluid Flows

      • Hua-Shu Dou
      Pages 425-479
  5. Back Matter

    Pages 481-489

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.

Keywords

  • Turbulence
  • Navier-Stokes Equations
  • Flow Modelling
  • Flow Stability
  • Parallel Flows
  • Turbulent Transition
  • Critical Reynolds Number
  • Thermal Convection
  • Viscoelastic Flow
  • Vortex Flow

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: 978-981-19-0086-0

  • eBook ISBN: 978-981-19-0087-7

  • Edition Number: 1

  • Number of Pages: XXIV, 489

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

  • Topics: Engineering Fluid Dynamics, Turbulence in plasmas

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • ISBN: 978-981-19-0087-7
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book USD 169.99
Price excludes VAT (USA)