Turbulence and Random Processes in Fluid Mechanics

Turbulence and Random Processes in Fluid Mechanics
Author: M. T. Landahl
Publisher: Cambridge University Press
Total Pages: 184
Release: 1992-09-25
Genre: Mathematics
ISBN: 9780521422130

Fluid flow turbulence is a phenomenon of great importance in many fields of engineering and science.

Stochastic Tools in Turbulence

Stochastic Tools in Turbulence
Author: John L. Lumley
Publisher: Courier Corporation
Total Pages: 210
Release: 2007-01-01
Genre: Science
ISBN: 0486462706

This accessible treatment offers the mathematical tools for describing and solving problems related to stochastic vector fields. Advanced undergraduates and graduate students will find its use of generalized functions a relatively simple method of resolving mathematical questions. It will prove a valuable reference for applied mathematicians and professionals in the fields of aerospace, chemical, civil, and nuclear engineering. The author, Professor Emeritus of Engineering at Cornell University, starts with a survey of probability distributions and densities and proceeds to examinations of moments, characteristic functions, and the Gaussian distribution; random functions; and random processes in more dimensions. Extensive appendixes—which include information on Fourier transforms, tensors, generalized functions, and invariant theory—contribute toward making this volume mathematically self-contained.

Turbulence in Rotating, Stratified and Electrically Conducting Fluids

Turbulence in Rotating, Stratified and Electrically Conducting Fluids
Author: P. A. Davidson
Publisher: Cambridge University Press
Total Pages: 701
Release: 2013-09-12
Genre: Science
ISBN: 1107434343

There are two recurring themes in astrophysical and geophysical fluid mechanics: waves and turbulence. This book investigates how turbulence responds to rotation, stratification or magnetic fields, identifying common themes, where they exist, as well as the essential differences which inevitably arise between different classes of flow. The discussion is developed from first principles, making the book suitable for graduate students as well as professional researchers. The author focuses first on the fundamentals and then progresses to such topics as the atmospheric boundary layer, turbulence in the upper atmosphere, turbulence in the core of the earth, zonal winds in the giant planets, turbulence within the interior of the sun, the solar wind, and turbulent flows in accretion discs. The book will appeal to engineers, geophysicists, astrophysicists and applied mathematicians who are interested in naturally occurring turbulent flows.

Fluid Mechanics

Fluid Mechanics
Author: Pijush K. Kundu
Publisher: Academic Press
Total Pages: 904
Release: 2010-01-20
Genre: Science
ISBN: 9780123814005

Fluid mechanics, the study of how fluids behave and interact under various forces and in various applied situations—whether in the liquid or gaseous state or both—is introduced and comprehensively covered in this widely adopted text. Fluid Mechanics, Fourth Edition is the leading advanced general text on fluid mechanics. Changes for the 4th edition from the 3rd edition: Updates to several chapters and sections, including Boundary Layers, Turbulence, Geophysical Fluid Dynamics, Thermodynamics and Compressibility Fully revised and updated chapter on computational fluid dynamics New chapter on Biofluid Mechanics by Professor Portonovo Ayyaswamy, the Asa Whitney Professor of Dynamical Engineering at the University of Pennsylvania

Fluid Mechanics

Fluid Mechanics
Author: Pijush K. Kundu
Publisher: Academic Press
Total Pages: 919
Release: 2012
Genre: Science
ISBN: 0123821002

Suitable for both a first or second course in fluid mechanics at the graduate or advanced undergraduate level, this book presents the study of how fluids behave and interact under various forces and in various applied situations - whether in the liquid or gaseous state or both.

An Informal Introduction to Turbulence

An Informal Introduction to Turbulence
Author: A. Tsinober
Publisher: Springer Science & Business Media
Total Pages: 344
Release: 2001-11-30
Genre: Science
ISBN: 140200110X

This book is an informal introduction to the turbulence of fluids. The emphasis is placed on turbulence as a physical phenomenon. It addresses the unresolved issues, misconceptions, controversies, and major problems of the turbulence of fluids rather than the conventional formalistic elements and models. Little use is made of complicated formalisms; instead the emphasis is placed on an essentially informal qualitative form. The scope of the book is focused on the purely basic aspects of the turbulent flows of incompressible fluids. This book will certainly be of interest and use to graduate students as well as scientists active in fields where the turbulence of fluids is of importance. The book is intentionally written to appeal to a broad readership with the aim of making the turbulence of fluids interesting and comprehensible to the interested engineer.

Mechanics of Fluids

Mechanics of Fluids
Author: Joseph M. Powers
Publisher: Cambridge University Press
Total Pages: 722
Release: 2023-06-29
Genre: Technology & Engineering
ISBN: 1009028081

Providing a modern approach to classical fluid mechanics, this textbook presents an accessible and rigorous introduction to the field, with a strong emphasis on both mathematical exposition and physical problems. It includes a consistent treatment of a broad range of fluid mechanics topics, including governing equations, vorticity, potential flow, compressible flow, viscous flow, instability, and turbulence. It has enhanced coverage of geometry, coordinate transformations, kinematics, thermodynamics, heat transfer, and nonlinear dynamics. To round out student understanding, a robust emphasis on theoretical fundamentals and underlying mathematical details is provided, enabling students to gain confidence and develop a solid framework for further study. Included also are 180 end-of-chapter problems, with full solutions and sample course syllabi available for instructors. With sufficient coverage for a one- or two-semester sequence, this textbook provides an ideal flexible teaching pathway for graduate students in aerospace, mechanical, chemical, and civil engineering, and applied mathematics.

Turbulent Flows

Turbulent Flows
Author: Stephen B. Pope
Publisher: Cambridge University Press
Total Pages: 810
Release: 2000-08-10
Genre: Science
ISBN: 9780521598866

This is a graduate text on turbulent flows, an important topic in fluid dynamics. It is up-to-date, comprehensive, designed for teaching, and is based on a course taught by the author at Cornell University for a number of years. The book consists of two parts followed by a number of appendices. Part I provides a general introduction to turbulent flows, how they behave, how they can be described quantitatively, and the fundamental physical processes involved. Part II is concerned with different approaches for modelling or simulating turbulent flows. The necessary mathematical techniques are presented in the appendices. This book is primarily intended as a graduate level text in turbulent flows for engineering students, but it may also be valuable to students in applied mathematics, physics, oceanography and atmospheric sciences, as well as researchers and practising engineers.

An Introduction to Turbulent Flow

An Introduction to Turbulent Flow
Author: Jean Mathieu
Publisher: Cambridge University Press
Total Pages: 388
Release: 2000-06-26
Genre: Science
ISBN: 9780521775380

Most natural and industrial flows are turbulent. The atmosphere and oceans, automobile and aircraft engines, all provide examples of this ubiquitous phenomenon. In recent years, turbulence has become a very lively area of scientific research and application, attracting many newcomers who need a basic introduction to the subject. An Introduction to Turbulent Flow, first published in 2000, offers a solid grounding in the subject of turbulence, developing both physical insight and the mathematical framework needed to express the theory. It begins with a review of the physical nature of turbulence, statistical tools, and space and time scales of turbulence. Basic theory is presented next, illustrated by examples of simple turbulent flows and developed through classical models of jets, wakes, and boundary layers. A deeper understanding of turbulence dynamics is provided by spectral analysis and its applications. The final chapter introduces the numerical simulation of turbulent flows. This well-balanced text will interest graduate students in engineering, applied mathematics, and the physical sciences.