Through the centuries, the intricacies of fluid mechanics -- the study of the laws of motion and fluids in motion -- have occupied many of history's greatest minds. In this pioneering account, a distinguished aeronautical scientist presents a history of fluid mechanics focusing on the achievements of the pioneering scientists and thinkers whose inspirations and experiments lay behind the evolution of such disparate devices as irrigation lifts, ocean liners, windmills, fireworks and spacecraft.
The author first presents the basics of fluid mechanics, then explores the advances made through the work of such gifted thinkers as Plato, Aristotle, da Vinci, Galileo, Pascal, Newton, Bernoulli, Euler, Lagrange, Ernst Mach and other scientists of the 20th century. Especially important for its illuminating comparison of the development of fluid mechanics in the former Soviet Union with that in the West, the book concludes with studies of transsonic compressibility and aerodynamics, supersonic fluid mechanics, hypersonic gas dynamics and the universal matter-energy continuity.
Professor G. A. Tokaty has headed the prestigious Aeronautical Research Laboratory at the Zhukovsky Academy of Aeronautics in Moscow, and has taught at the University of California, Los Angeles. He is Emeritus Professor of Aeronautics and Space Technology, The City University, London.
Fluid dynamics, the behavior of liquids and gases, is a field of broad impact -- in physics, engineering, oceanography, and meteorology for example -- yet full understanding demands fluency in higher mathematics, the only language fluid dynamics speaks. Dr. Richard Meyer's work is indeed introductory, while written for advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences. A knowledge of calculus and vector analysis is presupposed.
The author develops basic concepts from a semi-axiomatic foundation, noting that for mathematics students such a treatment helps to dispel the all too common impression that the whole subject is built on a quicksand of assorted intuitions. Contents include:
Kinematics: Lagrangian and Eulerian descriptions, Circulation and Vorticity.
Momentum Principle and Ideal Fluid: Conservation examples, Euler equations, D'Alembert's and Kelvin's theorems.
Newtonian Fluid: Constitutive and Kinetic theories, exact solutions.
Fluids of Small Viscosity: Singular Perturbation, Boundary Layers.
Some Aspects of Rotating Fluids: Rossby number, Ekman layer, Taylor-Proudman Blocking.
Some Effects of Compressibility: Thermodynamics, Waves, Shock relations and structure, Navier-Stokes equations.
Dr. Meyer writes, This core of our knowledge concerns the relation between inviscid and viscous fluids, and the bulk of this book is devoted to a discussion of that relation.
This excellent text develops and utilizes mathematical concepts to illuminate physical theories. Directed primarily to engineers, physicists, and applied mathematicians at advanced undergraduate and graduate levels, it applies the mathematics of Cartesian and general tensors to physical field theories and demonstrates them chiefly in terms of the theory of fluid mechanics.
Essentially an introductory text, intended for readers with some acquaintance with the calculus of partial differentiation and multiple integration, it first reviews the necessary background material, then proceeds to explore the algebra and calculus of Cartesian vectors and tensors. Subsequent chapters take up the kinematics of fluid motion, stress in fluids, equations of motion and energy in Cartesian coordinates, tensors, and equations of fluid flow in Euclidean space.
The concluding chapters discuss the geometry of surfaces in space, the equations of surface flow and equations for reacting fluids. Two invaluable appendixes present a resume of 3-dimensional coordinate geometry and matrix theory and another of implicit functions and Jacobians. A generous number of exercises are an integral part of the presentation, providing numerous opportunities for manipulation and extension of the concepts presented.
Effective coastal engineering is expensive, but it is not as costly as neglect or ineffective intervention. Good practice needs to be based on sound principles, but theoretical work and modelling also need to be well grounded in practice, which is continuously evolving. Conceptual and detailed design has been advanced by new industry publications since the publication of the second edition.
This third edition provides a number of updates: the sections on wave overtopping have been updated to reflect changes brought in with the recently issued EurOtop II manual; a detailed worked example is given of the calculation of extreme wave conditions for design; additional examples have been included on the reliability of structures and probabilistic design; the method for tidal analysis and calculation of amplitudes and phases of harmonic constituents from water level time series has been introduced in a new appendix together with a worked example of harmonic analysis; and a real-life example is included of a design adapting to climate change.
This book is especially useful as an information source for undergraduates and engineering MSc students specializing in coastal engineering and management. Readers require a good grounding in basic fluid mechanics or engineering hydraulics, and some familiarity with elementary statistical concepts.
Have you ever wondered why a 10-tonne boat floats but a tiny pebble sinks? Archimedes knew why. How does a basketball or tennis ball bounce? Robert Boyle could have described how Can you explain why a hot-air balloon rises but a balloon you blow up drops to the ground? To answer these questions and many more, author Paul Fleisher explains the laws that define how and why liquids and gases behave the way they do. Through simple experiments, detailed illustrations and concepts that are easy to understand, readers are introduced to the basic principles of fluid mechanics in a fun, exciting way.
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