John L. Lumley

Thomas B. Gatski

M. Yousuff Hussaini

This book provides students and researchers in fluid engineering with an up-to-date overview of turbulent flow research in the areas of simulation and modeling. A key element of the book is the systematic, rational development of turbulence closure models and related aspects of modern turbulent flow theory and prediction. Starting with a review of the spectral dynamics of homogenous and inhomogeneous turbulent flows, succeeding chapters deal with numerical simulation techniques, renormalization group methods and turbulent closure modeling. Each chapter is authored by recognized leaders in their respective fields, and each provides a thorough and cohesive treatment of the subject.

Simulation and Modeling of Turbulent Flows

The papers in this volume were written by his students and colleagues to honor Sidney Leibovich, Samuel B. Eckert Professor in the Sibley School of Mechanical and Aerospace Engineering at Cornell University, in commemoration of his 60th birthday, 2 April 1999. They were presented at a symposium held at Cornell, 23 and 24 August 1999. Sid obtained his Bachelor of Science degree with honors from The California Institute of Technology in 1961, graduating first in his class. He came to Cornell to work with Geoffrey Ludford on Magnetohydrodynamics, and obtained his Ph.D. in 1965 in the Department of Theoretical and Applied Mechanics. He spent a year at University College, London as a NATO Postdoctoral Fellow, and returned to Cornell as an Assistant Professor. He has been here ever since, and is currently Director of the Sibley School. Since returning to Cornell, Sid has concentrated on rotating fluids and n- linear waves, in various combinations and applications, producing some 3.2 - pers a year with an applied-mathematical bent. In particular this interest led to both Langmuir circulation and vortex breakdown, two areas in which Sid has had enormous influence, and both, of course, examples of rotating fluids interacting with waves. It was impossible to work in this area without being distracted by the study of the nonlinear dispersive and dissipative waves themselves, and Sid has made substantial contributions in this area.

A Collection of Research Papers Written in Commemoration of the 60th Birthday of Sidney Leibovich

Fluid Mechanics and the Environment: Dynamical Approaches

Fabien Anselmet

Louis Fulachier

The General Assembly of the International Union of Theoretical and Applied Mechanics in its meeting on August 28, 1994, selected for 1996 only four Mechanics Symposia, of which ours is the only one related to Fluid Mechanics: Variable Density Low Speed Turbulent Flows. This IUTAM Symposium, organized by the Institut de Recherche sur les Phenomenes Hors Equilibre (Marseille), is the logical continuation of the meetings previously organized or co-organized - on the French or European level, such as Euromech 237, Marseille, 1988 - by the same research group ofMarseille. This meeting focused specifically on the structure of turbulent flows in which density varies strongly : the effect of this variation on the velocity and scalar fields is in no sense negligible. We were mainly concerned with low-speed flows subjected to strong local changes of density as a consequence of heat or mass transfer or of chemical reactions. Compressible turbulent flows - such a!" supersonic ones - were also considered in order to underline their similarities to and their differences from low-speed variable density flows.

Proceedings of the IUTAM Symposium held in Marseille, France, 8–10 July 1996

IUTAM Symposium on Variable Density Low-Speed Turbulent Flows

Hendrik Tennekes

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.

John L. Lumley

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