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A six-volume collection of the scientific papers of Lord Kelvin (1824-1907), one of Britain's most eminent mathematical physicists.

Fluid mechanics is the study of how fluids behave and interact under various forces and in various applied situations, whether in liquid or gas state or both. The author of Advanced Fluid Mechanics compiles pertinent information that are introduced in the more advanced classes at the senior level and at the graduate level. "Advanced Fluid Mechanics courses typically cover a variety of topics involving fluids in various multiple states (phases), with both elastic and non-elastic qualities, and flowing in complex ways. This new text will integrate both the simple stages of fluid mechanics ("Fundamentals) with those involving more complex parameters, including Inviscid Flow in multi-dimensions, Viscous Flow and Turbulence, and a succinct introduction to Computational Fluid Dynamics. It will offer exceptional pedagogy, for both classroom use and self-instruction, including many worked-out examples, end-of-chapter problems, and actual computer programs that can be used to reinforce theory with real-world applications. Professional engineers as well as Physicists and Chemists working in the analysis of fluid behavior in complex systems will find the contents of this book useful. All manufacturing companies involved in any sort of systems that encompass fluids and fluid flow analysis (e.g., heat exchangers, air conditioning and refrigeration, chemical processes, etc.) or energy generation (steam boilers, turbines and internal combustion engines, jet propulsion systems, etc.), or fluid systems and fluid power (e.g., hydraulics, piping systems, and so on)will reap the benefits of this text. - Offers detailed derivation of fundamental equations for better comprehension of more advanced mathematical analysis - Provides groundwork for more advanced topics on boundary layer analysis, unsteady flow, turbulent modeling, and computational fluid dynamics - Includes worked-out examples and end-of-chapter problems as well as a companion web site with sample computational programs and Solutions Manual

This book covers fluid dynamics and fluvial processes, including basics applicable to open channel flow followed by turbulence characteristics related to sediment-laden flows. It presents well-balanced exposure of physical concepts, mathematical treatments, validation of the models/theories, and experimentations using modern electronic gadgets within the scope. In addition, it explores fluid motions, sediment-fluid interactions, erosion and scouring, sediment suspension and bed load transportation, image processing for particle dynamics, and various problems of applied fluid mechanics in natural sciences. Features: Gives comprehensive treatment on fluid dynamics and fluvial process from fundamentals to advanced level applications in one volume. Presents knowledge on sediment transport and its interaction with turbulence. Covers recent methodologies in the study of turbulent flow theories with verification of laboratory data collected by ADV, PIV, URS, LDA, and imaging techniques, and field data collected by MMB and S4 current meters. Explores the latest empirical formulae for the estimations of bed load, saltation, suspension, and bedform migration. Contains theory to experimentations with field practices with comprehensive explanations and illustrations. This book is aimed at senior undergraduates, engineering and applied science postgraduate and research students working in mechanical, civil, geo-sciences, and chemical engineering departments pertaining to fluid mechanics, hydraulics, sediment transportation, and turbulent flows.

New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabolic, hyperbolic, elliptic, and other systems of equations with solutions Some exact methods and transformations Symbolic and numerical methods for solving nonlinear PDEs with MapleTM, Mathematica®, and MATLAB® Many new illustrative examples and tables A large list of references consisting of over 1,300 sources To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology. They outline the methods in a schematic, simplified manner and arrange the material in increasing order of complexity.