Physics of Transitional Shear Flows

Physics of Transitional Shear Flows
Author: Andrey V. Boiko
Publisher: Springer Science & Business Media
Total Pages: 286
Release: 2011-09-15
Genre: Science
ISBN: 9400724985

Starting from fundamentals of classical stability theory, an overview is given of the transition phenomena in subsonic, wall-bounded shear flows. At first, the consideration focuses on elementary small-amplitude velocity perturbations of laminar shear layers, i.e. instability waves, in the simplest canonical configurations of a plane channel flow and a flat-plate boundary layer. Then the linear stability problem is expanded to include the effects of pressure gradients, flow curvature, boundary-layer separation, wall compliance, etc. related to applications. Beyond the amplification of instability waves is the non-modal growth of local stationary and non-stationary shear flow perturbations which are discussed as well. The volume continues with the key aspect of the transition process, that is, receptivity of convectively unstable shear layers to external perturbations, summarizing main paths of the excitation of laminar flow disturbances. The remainder of the book addresses the instability phenomena found at late stages of transition. These include secondary instabilities and nonlinear features of boundary-layer perturbations that lead to the final breakdown to turbulence. Thus, the reader is provided with a step-by-step approach that covers the milestones and recent advances in the laminar-turbulent transition. Special aspects of instability and transition are discussed through the book and are intended for research scientists, while the main target of the book is the student in the fundamentals of fluid mechanics. Computational guides, recommended exercises, and PowerPoint multimedia notes based on results of real scientific experiments supplement the monograph. These are especially helpful for the neophyte to obtain a solid foundation in hydrodynamic stability. To access the supplementary material go to extras.springer.com and type in the ISBN for this volume.

Stability and Transition in Shear Flows

Stability and Transition in Shear Flows
Author: Peter J. Schmid
Publisher: Springer Science & Business Media
Total Pages: 561
Release: 2012-12-06
Genre: Science
ISBN: 1461301858

A detailed look at some of the more modern issues of hydrodynamic stability, including transient growth, eigenvalue spectra, secondary instability. It presents analytical results and numerical simulations, linear and selected nonlinear stability methods. By including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course. It is equally of value as a reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Stability theory has seen a rapid development over the past decade, this book includes such new developments as direct numerical simulations of transition to turbulence and linear analysis based on the initial-value problem.

Turbulence and Interactions

Turbulence and Interactions
Author: Michel Deville
Publisher: Springer Science & Business Media
Total Pages: 166
Release: 2009-03-20
Genre: Technology & Engineering
ISBN: 3642002625

Contains seven keynote lectures of the TI 2006 conference that was held in Porquerolles, May 29-June 2, 2006. This book offers a view on theory, experiments and numerical simulations in the field of turbulence.

Origin of Turbulence

Origin of Turbulence
Author: Hua-Shu Dou
Publisher: Springer Nature
Total Pages: 503
Release: 2022-03-25
Genre: Technology & Engineering
ISBN: 9811900876

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.

Intermittency in Transitional Shear Flows

Intermittency in Transitional Shear Flows
Author: Yohann Duguet
Publisher: MDPI
Total Pages: 180
Release: 2021-08-31
Genre: Social Science
ISBN: 3036509429

This book contains original peer-reviewed articles written by some of the most prominent international physicists active in the field of hydrodynamics. The topic is entirely devoted to the study of the transitional regimes of incompressible viscous flow found at the onset of turbulent flows. Nine articles written for this 2020 Special Issue of the journal Entropy (MDPI) have been gathered at the crossroads of fluid mechanics, statistical physics, complexity theory, and applied mathematics. They include experimental, analytic, and computational material of an academic level that has not been published anywhere else.

Liutex and Its Applications in Turbulence Research

Liutex and Its Applications in Turbulence Research
Author: Chaoqun Liu
Publisher: Academic Press
Total Pages: 460
Release: 2020-10-29
Genre: Technology & Engineering
ISBN: 0128190248

Liutex and Its Applications in Turbulence Research reviews the history of vortex definition, provides an accurate mathematical definition of vortices, and explains their applications in flow transition, turbulent flow, flow control, and turbulent flow experiments. The book explains the term "Rortex" as a mathematically defined rigid rotation of fluids or vortex, which could help solve many longstanding problems in turbulence research. The accurate mathematical definition of the vortex is important in a range of industrial contexts, including aerospace, turbine machinery, combustion, and electronic cooling systems, so there are many areas of research that can benefit from the innovations described here. This book provides a thorough survey of the latest research in generalized and flow-thermal, unified, law-of-the-wall for wall-bounded turbulence. Important theory and methodologies used for developing these laws are described in detail, including: the classification of the conventional turbulent boundary layer concept based on proper velocity scaling; the methodology for identification of the scales of velocity, temperature, and length needed to establish the law; and the discovery, proof, and strict validations of the laws, with both Reynolds and Prandtl number independency properties using DNS data. The establishment of these statistical laws is important to modern fluid mechanics and heat transfer research, and greatly expands our understanding of wall-bounded turbulence. - Provides an accurate mathematical definition of vortices - Provides a thorough survey of the latest research in generalized and flow-thermal, unified, law-of-the-wall for wall-bounded turbulence - Explains the term "Rortex as a mathematically defined rigid rotation of fluids or vortex - Covers the statistical laws important to modern fluid mechanics and heat transfer research, and greatly expands our understanding of wall-bounded turbulence

Hydrodynamic Instability and Transition to Turbulence

Hydrodynamic Instability and Transition to Turbulence
Author: Akiva M. Yaglom
Publisher: Springer Science & Business Media
Total Pages: 611
Release: 2012-12-18
Genre: Technology & Engineering
ISBN: 9400742371

This book is a complete revision of the part of Monin & Yaglom's famous two-volume work "Statistical Fluid Mechanics: Mechanics of Turbulence" that deals with the theory of laminar-flow instability and transition to turbulence. It includes the considerable advances in the subject that have been made in the last 15 years or so. It is intended as a textbook for advanced graduate courses and as a reference for research students and professional research workers. The first two Chapters are an introduction to the mathematics, and the experimental results, for the instability of laminar (or inviscid) flows to infinitesimal (in practice "small") disturbances. The third Chapter develops this linear theory in more detail and describes its application to particular problems. Chapters 4 and 5 deal with instability to finite-amplitude disturbances: much of the material has previously been available only in research papers.

Boundary Layer Analysis

Boundary Layer Analysis
Author: Joseph A. Schetz
Publisher: AIAA Education
Total Pages: 0
Release: 2011
Genre: Technology & Engineering
ISBN: 9781600868238

Relevant to aerospace, mechanical, and civil engineers Boundary Layer Analysis, Second Edition spans the entire range of viscous fluid flows of engineering interest - from low-speed to hypersonic flows - introducing and analyzing laminar, transitional, and turbulent flows; the physics of turbulent shear flows; and turbulence models. It offers concurrent treatment of momentum, heat, and mass transfer, covering modern computational methods as well as analytical methods that are used widely in preliminary design, especially for design optimization studies. Boundary Layer Analysis, Second Edition features worked examples and homework problems employing user-friendly JAVA applets for boundary layer calculations including numerical methods. New to the second edition is a chapter introducing Navier-Stokes computational fluid dynamics.

Transition and Turbulence Control

Transition and Turbulence Control
Author: Mohamed Gad-el-Hak
Publisher: World Scientific
Total Pages: 445
Release: 2006
Genre: Technology & Engineering
ISBN: 9812564705

This volume contains articles based on lectures given at the Workshop on Transition and Turbulence Control, hosted by the Institute for Mathematical Sciences, National University of Singapore, 8-10 December 2004. The lecturers included 13 of the world's foremost experts in the control of transitioning and turbulent flows. The chapters cover a wide range of subjects in the broad area of flow control, and will be useful to researchers working in this area in academia, government laboratories and industry. The coverage includes control theory, passive, active and reactive methods for controlling transitional and turbulent wall-bounded flows, noise suppression and mixing enhancement of supersonic turbulent jets, compliant coatings, modern flow diagnostic systems, and swept wing instabilities.

Laminar-Turbulent Transition

Laminar-Turbulent Transition
Author: Victor V. Kozlov
Publisher: Springer Science & Business Media
Total Pages: 770
Release: 2012-12-06
Genre: Science
ISBN: 3642824625

At the suggestion of the USSR National Committee of Theo retical and Applied Mechanios the International Union of Theo retical and Applied Meohanics made a deoision to organize the Second IUTAM Symposium on Laminar-Turbulent Transition in No vosibirsk. Professor Yanenko was entrusted to be the chairman of the scientific committee. It was proposed that about 100 scientists would participate in the Symposium and that 60 lectures and invited lectures would be delivered; as for the theme of the Symposium, it was devoted to experimental and theoretical stu dies of laminar-turbulent transition in fluids and gases, i.e. the physical problems of transition and mathematical modeling in shear flows. It was planned to lay a special emphasis on fundamental mechanisms of the transition process. The scienti fio committee approved of the scope of the Symposium having considered the changes in the directions of the stUdies which took place since the First Symposium. For example, there was singled out the problem of transformation of external distur bances into eigenoscillations of shear flows, i.e. the recep tivity problem which was only slightly touched upon at the First Symposium. A new section appeared devoted to the inter relation of the flow separation phenomenon and its stability. It was planned to focus the attention on the secondary instability at transition to turbulence at the non-linear stage of the flow breakdown as well as on the loss of stability and the disturbances development in 3-D flows.