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, and extensive appendixes make it mathematically self-contained. 1970 edition.

Stochastic Tools in Turbulence (Applied Mathematics and Mechanics Series : Volume 12)

Science & Math

Lumley, John L.

Mathematics

Academic Pr

This is the first book specifically designed to offer the student a smooth transitionary course between elementary fluid dynamics (which gives only last-minute attention to turbulence) and the professional literature on turbulent flow, where an advanced viewpoint is assumed.
The subject of turbulence, the most forbidding in fluid dynamics, has usually proved treacherous to the beginner, caught in the whirls and eddies of its nonlinearities and statistical imponderables. This is the first book specifically designed to offer the student a smooth transitionary course between elementary fluid dynamics (which gives only last-minute attention to turbulence) and the professional literature on turbulent flow, where an advanced viewpoint is assumed. Moreover, the text has been developed for students, engineers, and scientists with different technical backgrounds and interests. Almost all flows, natural and man-made, are turbulent. Thus the subject is the concern of geophysical and environmental scientists (in dealing with atmospheric jet streams, ocean currents, and the flow of rivers, for example), of astrophysicists (in studying the photospheres of the sun and stars or mapping gaseous nebulae), and of engineers (in calculating pipe flows, jets, or wakes). Many such examples are discussed in the book. The approach taken avoids the difficulties of advanced mathematical development on the one side and the morass of experimental detail and empirical data on the other. As a result of following its midstream course, the text gives the student a physical understanding of the subject and deepens his intuitive insight into those problems that cannot now be rigorously solved. In particular, dimensional analysis is used extensively in dealing with those problems whose exact solution is mathematically elusive. Dimensional reasoning, scale arguments, and similarity rules are introduced at the beginning and are applied throughout. A discussion of Reynolds stress and the kinetic theory of gases provides the contrast needed to put mixing-length theory into proper perspective: the authors present a thorough comparison between the mixing-length models and dimensional analysis of shear flows. This is followed by an extensive treatment of vorticity dynamics, including vortex stretching and vorticity budgets. Two chapters are devoted to boundary-free shear flows and well-bounded turbulent shear flows. The examples presented include wakes, jets, shear layers, thermal plumes, atmospheric boundary layers, pipe and channel flow, and boundary layers in pressure gradients. The spatial structure of turbulent flow has been the subject of analysis in the book up to this point, at which a compact but thorough introduction to statistical methods is given. This prepares the reader to understand the stochastic and spectral structure of turbulence. The remainder of the book consists of applications of the statistical approach to the study of turbulent transport (including diffusion and mixing) and turbulent spectra.

A First Course in Turbulence

Tennekes, Henk

Earth Sciences

Mit Pr

A First Course in Turbulence (Mit Press)

MIT Press]

Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge Monographs on Mechanics)

For turbulent flows at relatively low speeds there exists an excellent mathematical model in the incompressible Navier-Stokes equations. Why then is the "problem of turbulence" so difficult? One reason is that these nonlinear partial differential equations appear to be insoluble, except through numerical simulations, which offer useful approximations, but little direct understanding. Three recent developments offer new hope. First, the discovery by experimentalists of coherent structures in certain turbulent flows. Secondly, the suggestion that strange attractors and other ideas from finite dimensional dynamical systems theory might play a role in the analysis of the governing equations. And, finally, the introduction of the Karhunen Loève or proper orthogonal decomposition. This book introduces these developments and describes how they may be combined to create low-dimensional models of turbulence, resolving only the coherent structures. This book will interest engineers, especially in the aerospace, chemical, civil, environmental and geophysical areas, as well as physicists and applied mathematicians concerned with turbulence.

Holmes, PHILIP

Berkooz, Gal

Cambridge University Press

Reference

Foreign Language Study & Reference

The internal combustion engine that powers the modern automobile has changed very little from its initial design of some eighty years ago. Unlike many high tech advances, engine design still depends on an understanding of basic fluid mechanics and thermodynamics. This text offers a fresh approach to the study of engines, with an emphasis on design and on fluid dynamics. Professor Lumley, a renowned fluid dynamicist, provides a lucid explanation of how air and fuel are mixed, how they get into the engine, what happens to them there, and how they get out again. Particular attention is given to the complex issue of pollution. Every chapter includes numerous illustrations and examples and concludes with homework problems. Examples are taken from the early days of engine design, as well as the latest designs, such as stratified charge gasoline direct injection engines. It is intended that the text be used in conjunction with the Stanford Engine Simulation Program (ESP). This user-friendly, interactive software tool answers a significant need not addressed by other texts on engines. Aimed at undergraduate and first-year graduate students, the book will also appeal to hobbyists and car buffs who will appreciate the wealth of illustrations of classic, racing, and modern engines.

Engines: An Introduction

Engineering & Transportation

Engineering

Most childhood fascinations are a passing fancy, but something about cars tends to capture the imagination forever. Witness the countless backyard weed-wrapped classics, rusted just shy of a shadow, slated one day for a return to glory; cloudy vacation memories of choking exhaust, deafening engines and blinding chrome; countless white-knuckled highway moments as the driver faces backwards to better glimpse some passing oddity spotted four lanes over. Somehow, cars have a way of getting into a kid's blood. Any chronic condition requires a lifetime of maintenance. John Lumley caught the fever early--likely from a midnight blue Hudson--and it's been with him ever since. This engaging memoir follows a life spent nursing an obsession with cars, fitting for a son of Detroit's heyday. With occasional play in the garage of the Ford estate and an excursion to see Buckminster Fuller's three-wheeled Dymaxion among his earliest memories, John Lumley's enduring love of cars is no surprise. From those childhood adventures followed a lifetime spent elbow-deep in engines--Nash, Hupmobile, Mercury, Citroen, Triumph, Volkswagen, Lagonda, Armstrong-Siddeley, Bentley and more, many of them pictured. Though his career was devoted to loftier pursuits, the grease beneath his nails perhaps best sums up Lumley's lifelong love. Fifty-eight photographs and an index accompany the text.

Still Life with Cars: An Automotive Memoir

Automotive

McFarland

Book by Lumley, John L., Van Dyke, Milton

Annual Review of Fluid Mechanics: 1987

Van Dyke, Milton

Physics

Annual Reviews

Annual Review of Fluid Mechanics: 1988

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