G. K. Batchelor - Böcker

G. I. Taylor was one of the most distinguished physical scientists of the last century, using his deep insight and originality and mathematical skill to increase greatly our understanding of phenomena such as the turbulent flow of fluids. His interest in the science of fluid flow was not confined to theory; he was one of the early pioneers of aeronautics, and designed a new type of anchor, now widely used in small boats throughout the world, that came about through his passion for sailing. Taylor spent most of his working life in the Cavendish Laboratory in Cambridge, where he investigated the mechanics of fluid and solid materials; his discoveries and ideas have had application throughout mechanical, civil and chemical engineering, meteorology, oceanography and material science. He was also a noted research leader, and his group in Cambridge became one of the most productive centres for the study of fluid mechanics. How was Taylor able to be innovative in so many different ways? This interesting and unusual mix of science and biography, first published in 1996, helps us to answer that question.

This is a reissue of Professor Batchelor's text on the theory of turbulent motion, which was first published by Cambridge Unviersity Press in 1953. It continues to be widely referred to in the professional literature of fluid mechanics, but has not been available for several years. This classic account includes an introduction to the study of homogeneous turbulence, including its mathematic representation and kinematics. Linear problems, such as the randomly-perturbed harmonic oscillator and turbulent flow through a wire gauze, are then treated. The author also presents the general dynamics of decay, universal equilibrium theory, and the decay of energy-containing eddies. There is a renewed interest in turbulent motion, which finds applications in atmospheric physics, fluid mechanics, astrophysics, and planetary science.

This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students, and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple, widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients.

Sir Geoffrey Ingram Taylor (1886-1975) was a physicist, mathematician and expert on fluid dynamics and wave theory. He is widely considered to be one of the greatest physical scientists of the twentieth century. Across these four volumes, published between the years 1958 and 1971, Batchelor has collected together almost 200 of Sir Geoffrey Ingram Taylor's papers. The papers of the first three volumes are grouped approximately by subject, with Volume IV collating a number of miscellaneous papers on the mechanics of fluids. Together, these volumes allow a thorough exploration of the breadth and diversity of Sir Geoffrey Taylor's interests within the field of fluid dynamics. At the end of Volume IV, Batchelor provides the reader with both a chronological list of the papers presented across all four volumes, and a list of Sir Geoffrey Taylor's other published articles, completing this truly invaluable research and reference work.

Sir Geoffrey Ingram Taylor (1886-1975) was a physicist, mathematician and expert on fluid dynamics and wave theory. He is widely considered to be one of the greatest physical scientists of the twentieth century. Across these four volumes, published between the years 1958 and 1971, Batchelor has collected together almost 200 of Sir Geoffrey Ingram Taylor's papers. The papers of the first three volumes are grouped approximately by subject, with Volume IV collating a number of miscellaneous papers on the mechanics of fluids. Together, these volumes allow a thorough exploration of the breadth and diversity of Sir Taylor's interests within the field of fluid dynamics. At the end of Volume IV, Batchelor provides the reader with both a chronological list of the papers presented across all four volumes, and a list of Sir Geoffrey Taylor's other published articles, completing this truly invaluable research and reference work.

Sir Geoffrey Ingram Taylor (1886-1975) was a physicist, mathematician and expert on fluid dynamics and wave theory. He is widely considered to be one of the greatest physical scientists of the twentieth century. Across these four volumes, published between the years 1958 and 1971, Batchelor has collected together almost 200 of Sir Geoffrey Ingram Taylor's papers. The papers of the first three volumes are grouped approximately by subject, with Volume IV collating a number of miscellaneous papers on the mechanics of fluids. Together, these volumes allow a thorough exploration of the breadth and diversity of Sir Taylor's interests within the field of fluid dynamics. At the end of Volume IV, Batchelor provides the reader with both a chronological list of the papers presented across all four volumes, and a list of Sir Geoffrey Taylor's other published articles, completing this truly invaluable research and reference work.

Sir Geoffrey Ingram Taylor (1886-1975) was a physicist, mathematician and expert on fluid dynamics and wave theory. He is widely considered to be one of the greatest physical scientists of the twentieth century. Across these four volumes, published between the years 1958 and 1971, Batchelor has collected together almost 200 of Sir Geoffrey Ingram Taylor's papers. The papers of the first three volumes are grouped approximately by subject, with Volume IV collating a number of miscellaneous papers on the mechanics of fluids. Together, these volumes allow a thorough exploration of the breadth and diversity of Sir Taylor's interests within the field of fluid dynamics. At the end of Volume IV, Batchelor provides the reader with both a chronological list of the papers presented across all four volumes, and a list of Sir Geoffrey Taylor's other published articles, completing this truly invaluable research and reference work.

This book describes the research done on the problems of Bénard convection, as well as its modern offspring the Rayleigh-Bénard problem, and Taylor vortices. Bénard convection differs from Rayleigh-Bénard convection by the presence of surface tension, whilst Bénard convection is characterized by parallel rolls. Toroidal vortices characterize Taylor vortex flow. Convection and Taylor vortex flow deal with the consequences of the presence of infinitesimal disturbances in a fluid layer. Both problems are classical examples in the theory of hydrodynamic stability and share many features. Linear theory describing the onset of instability for both problems is practically completed; nonlinear problems have been at the forefront of research during the last 30 years. The impressive progress that has been made in the theoretical and experimental investigation of the nonlinear problems is described and the remaining basic problems are outlined.

G. I. Taylor was one of the most distinguished physical scientists of the last century, using his deep insight and originality and mathematical skill to increase greatly our understanding of phenomena such as the turbulent flow of fluids. His interest in the science of fluid flow was not confined to theory; he was one of the early pioneers of aeronautics, and designed a new type of anchor, now widely used in small boats throughout the world, that came about through his passion for sailing. Taylor spent most of his working life in the Cavendish Laboratory in Cambridge, where he investigated the mechanics of fluid and solid materials; his discoveries and ideas have had application throughout mechanical, civil and chemical engineering, meteorology, oceanography and material science. He was also a noted research leader, and his group in Cambridge became one of the most productive centres for the study of fluid mechanics. How was Taylor able to be innovative in so many different ways? This interesting and unusual mix of science and biography, first published in 1996, helps us to answer that question.

Now available in paperback, this wide-ranging text on modern fluid mechanics research includes sections on modelling the environment, physiology and magnetohydrodynamics. At the same time, the book discusses basic physical phenomena such as turbulence that still present fundamental challenges. Conventional textbooks cannot hope to give graduate students more than an inkling of what topics are currently being researched, or how to make a choice between them. This book aims to rectify matters, at least in part. It consists of eleven chapters that each introduces a different branch of the subject. Though not exhaustive, the coverage is broad: thin-film flows, Saffman-Taylor fingering, flows in arteries and veins, convective and absolute instabilities, turbulence, natural convection, magnetohydrodynamics, solidification, geological fluid mechanics, oceanography and atmospheric dynamics are all introduced and reviewed by established authorities. Thus the book will not only be suitable for graduate-level courses but also for specialists seeking introductions to other areas.

This volume emphasizes fundamental concepts, both on the development of mathematical models of fracture phenomena and on the analysis of these models. Cases involving stress waves impinging on cracks, tractions suddenly applied to the faces of cracks, and rapid crack growth and arrest are considered in detail. Most of the work is concerned with the behavior of nominally elastic materials, but available results on elastic-plastic and elastic-viscoplastic materials are included. Connections to experimental results and to applications in structural mechanics, seismology, and materials science are noted whenever possible.

This book is a research monograph on the material instability known as adiabatic shear banding which often occurs in a plastically deforming material as it undergoes rapid shearing. Plastic deformation generates heat, which eventually softens most materials with continued straining, a process which is usually unstable. In this case the instability results in thin regions of highly deformed material, which are often the sites of further damage and complete failure. The main body of the book examines a series of one-dimensional problems of increasing complexity. In this way a comprehensive and quantitative picture of the complete phenomena is built up. Particular care is taken to use well established asymptotic techniques to find simple, but universal, analytic expressions or scaling laws that encapsulate various aspects of the dynamic formation and the final morphology of shear bands. A fully developed mechanics of shear is just beginning to emerge as a major companion to fracture mechanics, this book may speed the process along.