This is a reissue of Professor Batchelor's text on the theory of turbulent motion, which was first published by Cambridge University 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...
This is a reissue of Professor Batchelor's text on the theory of turbulent motion, which was first published by Cambridge University Press in 1953. It...
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,...
This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each po...
With applications ranging from modelling the environment to automotive design and physiology to astrophysics, conventional textbooks cannot hope to give students much information on what topics in fluid dynamics are currently being researched, or how to choose between them. This book rectifies matters. It consists of eleven chapters that introduce and review different branches of the subject for graduate-level courses, or for specialists seeking introductions to other areas. Hb ISBN (2001): 0-521-78061-6
With applications ranging from modelling the environment to automotive design and physiology to astrophysics, conventional textbooks cannot hope to gi...
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...
This volume emphasizes fundamental concepts, both on the development of mathematical models of fracture phenomena and on the analysis of these models....
This monograph covers the material instability known as adiabatic shear banding which often occurs in a plastically deforming material as it undergoes rapid shearing. This book surveys these exciting developments at the frontier of mathematics and presents many new results. 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. Divided into three parts, the book first reviews the physical phenomena and the standard methods of...
This monograph covers the material instability known as adiabatic shear banding which often occurs in a plastically deforming material as it undergoes...
The processes of freezing and melting were present at the beginnings of the Earth and continue to dominate the natural and industrial worlds. The solidification of a liquid or the melting of a solid involves a complex interplay of many physical effects. This book systematically presents the field of continuum solidification theory based on instability phenomena. An understanding of the physics is developed by using examples of increasing complexity with the object of creating a deep physical insight applicable to more complex problems. Applied mathematicians, engineers, physicists, and...
The processes of freezing and melting were present at the beginnings of the Earth and continue to dominate the natural and industrial worlds. The soli...
Recently, major progress has been made in the development of equations to describe the motion of fluid-particle mixtures and their application to a limited range of problems. However, results are only as good as their underlying equations, so it is essential to have a clear understanding of the fundamental physics. In The Dynamics of Fluidized Particles, Jackson formulates these equations carefully and fully describes the important existing applications that test their ability to predict salient phenomena.
Recently, major progress has been made in the development of equations to describe the motion of fluid-particle mixtures and their application to a li...
The reciprocity theorem has been used for over 100 years to establish interesting and useful relationships and to formulate problems. Internationally distinguished for his contributions to mechanics, Jan Achenbach presents a novel method of solving wave fields. The material presented here is relevant to applications in engineering and applied physics such as ultrasonics for medical imaging and non-destructive evaluation, acoustic microscopy, seismology, exploratory geophysics, and structural acoustics.
The reciprocity theorem has been used for over 100 years to establish interesting and useful relationships and to formulate problems. Internationally ...
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...
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 ...
