Origin of Turbulence: Energy Gradient Theory

The book discusses the new discovery of the origin of turbulence from Navier–Stokes equations and how it is composed of singularities of flow field. It also describes the mechanisms of flow stability and turbulent transition using the energy gradient theory, which is universal for flow instability in Newtonian and non-Newtonian flow. The theory has been used to solve several practical problems and is in agreement with results from numerical simulations and experiments.

Format: Hardback
Length: 489 pages
Publication date: 29 March 2022
Publisher: Springer Verlag, Singapore

The groundbreaking research presented in this book sheds light on the enigmatic origin of turbulence from the Navier-Stokes equations. Through extensive analysis, it is revealed that fully developed turbulence comprises singularities in the flow field. The energy gradient theory, a powerful framework, is employed to elucidate the mechanisms of flow stability and turbulent transition. This theory posits that all flow instability and breakdown arise from the gradient of the total mechanical energy in the direction of flow. This universal approach holds significance for both Newtonian and non-Newtonian flows, encompassing a wide range of flow scenarios.

The theory has proven invaluable in solving diverse problems, including plane and pipe Poiseuille flows, plane Couette flow, Taylor-Couette flow, flows in straight coaxial annuli, flows in curved pipes and ducts, thermal convection flow, viscoelastic flow, and magnet fluid flow, among others. Remarkably, the theory aligns closely with results obtained through numerical simulations and experimental studies, reinforcing its credibility.

What sets this book apart is its innovative analytical method, diverging from traditional approaches. It encompasses the fundamental principles of flow stability and turbulent transition, providing a solid foundation for researchers and graduate students alike. With its comprehensive coverage and practical applications, this book serves as a valuable resource for those seeking to delve deeper into the complexities of fluid dynamics.

Weight: 934g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811900860
Edition number: 1st ed. 2022