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This textbook describes the fundamental "physical" aspects of fluid flows for beginners of fluid mechanics in physics, mathematics and engineering, from the point of view of modern physics. It also emphasizes the dynamical aspects of fluid motions rather than the static aspects, illustrating vortex motions, waves, geophysical flows, chaos and turbulence. Beginning with the fundamental concepts of the nature of flows and the properties of fluids, the book presents fundamental conservation equations of mass, momentum and energy, and the equations of motion for both inviscid and viscous fluids. I
Fluid mechanics. --- Continuum mechanics. --- Mechanics of continua --- Hydromechanics --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Continuum mechanics
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In der Frühzeit der Erdgeschichte waren die Menschen mit der Natur eng verbunden Als Jäger und Sammler lebten sie von deren Früchten, waren dabei natürlich auch ihren Unbilden ausgesetzt. Es ist daher gut nachvollziehbar, dass den Naturkräften Gottheiten zugeordnet wurden. In der ägyptischen Mythologie stand die Sonne in ihrem Mittelpunkt. Der Sonnengott Rê überquerte bei Tag in seiner Sonnenbarke und bei Nacht in seiner Mondbarke den Himmel, für uns heute ein besonders poetisches Bild. Nur langsam wurden solche Vorstellungen ab- löst durch Fragen nach der Struktur der Welt. Die Babylonier gewannen erste Erkenntnisse über ihren Aufbau aus der Beobachtung der Bewegung der Gestirne. So konnten sie die Dauer eines Jahres und Monats bestimmen. Langjährige Beobachtungen versetzten sie in die Lage, Mondfinsternisse vorherzusagen. Im Fortgang der Geschichte gewann die Naturphilosophie, vor allem die Lehren von Aristoteles (350 v. Chr. ), großen Einfluss. Über viele Jahrhunderte hinweg dominierte sie die Naturlehre. Bei der Ausarbeitung seiner Lehren stützte sich Aris- teles zwar auch auf empirische Zusammenhänge, aber im Vordergrund stand ein abstraktes Gedankengebäude, das nach der Grundlage allen Seins fragte. Etwa ein Jahrhundert später findet sich mit Archimedes (250 v. Chr. ), ein Forscher, der mehr den in seiner Umwelt auftretenden praktischen Fragestellungen nachging. Das Archimedische Prinzip als Ursache des Auftriebs ist ein Beispiel. Die Entwicklung zur exakten Naturwissenschaft setzte etwa mit dem 16. Jahrhundert ein. Herausragende Forscher waren Kopernikus, Galilei, Brahe und Bruno. Zunächst standen die Gesetze unseres Planetensystems und die Rolle der Erde bzw.
Continuum physics. --- Optics. --- Electrodynamics. --- Physics. --- Classical and Continuum Physics. --- Classical Electrodynamics. --- Physics, general. --- Field theory (Physics)
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Presents a collection of the contributions of a Conference held in June 2005 at the laboratoire Paul Painleve (UMR CNRS 8524) in Lille, France. The aim of this conference was to review the topics and trends in fluid dynamics, with the objective to foster exchanges of various viewpoints on the addressed questions.
Fluid mechanics --- Mathematics --- Mathematical models --- Hydromechanics --- Continuum mechanics --- Differential equations, partial. --- Numerical analysis. --- Partial Differential Equations. --- Numerical Analysis. --- Classical and Continuum Physics. --- Partial differential equations --- Mathematical analysis --- Partial differential equations. --- Continuum physics. --- Classical field theory --- Continuum physics --- Physics
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The rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi-) layer version. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wa
Fluid dynamics. --- Fluid mechanics. --- Hydromechanics --- Continuum mechanics --- Dynamics --- Fluid mechanics
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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 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 invo
Fluid mechanics --- Fluid dynamics. --- Dynamics --- Hydromechanics --- Continuum mechanics
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Algebras, Linear --- Functions --- Vector spaces --- Continuum (Mathematics) --- Functional analysis
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Algèbre, Chapitres 4 à 7 Les Éléments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce deuxième volume du Livre d’Algèbre, deuxième Livre des Éléments de mathématique, traite notamment des extensions de corps et de la théorie de Galois. Il comprend les chaptires : 4. Polynômes et fractions rationnelles ; 5. Corps commutatifs 6. Groupes et corps ordonnés ; 7. Modules sur les anneaux principaux Il contient également des notes historiques. Ce volume est une nouvelle édition parue en 1981.
Algebra. --- Mathematics --- Mathematical analysis --- Field theory (Physics). --- Field Theory and Polynomials. --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics
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These notes are designed as a text book for a course on the Modern Physics Theory for undergraduate students. The purpose is providing a rigorous and self-contained presentation of the simplest theoretical framework using elementary mathematical tools. A number of examples of relevant applications and an appropriate list of exercises and answered questions are also given. The first part is devoted to Special Relativity concerning in particular space-time relativity and relativistic kinematics. The second part deals with Schroedinger's formulation of quantum mechanics. The presentation concerns mainly one dimensional problems, in particular tunnel effect, discrete energy levels and band spectra. The third part concerns the application of Gibbs statistical methods to quantum systems and in particular to Bose and Fermi gasses.
Physics. --- Quantum physics. --- Continuum physics. --- Astrobiology. --- Atoms. --- Atomic, Molecular, Optical and Plasma Physics. --- Quantum Physics. --- Classical Continuum Physics. --- Quantum theory. --- Classical and Continuum Physics. --- Astrobiology --- Biology --- Habitable planets --- Life --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Origin --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Classical field theory --- Continuum physics --- Continuum mechanics --- Chemistry, Physical and theoretical --- Matter --- Stereochemistry --- Constitution --- Field theory (Physics) --- Exobiology.
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Dieses Lehrbuch zur Technischen Strömungsmechanik enthält 57 durchgerechnete Beispiele und 93 Praxishinweise. Es vermittelt anschaulich die theoretischen Grundlagen der Strömungslehre und Gasdynamik und schafft die für die Arbeit des Ingenieurs wichtigen Verbindungen zur Lösung von Problemen im Maschinen- und Anlagenbau sowie bei der Konstruktion von strömungsführenden Komponenten. Es werden zahlreiche ingenieurtechnisch relevante Strömungsprobleme behandelt und praxisnahe Lösungswege aufgezeigt. Die 3. Auflage enthält einen Ausblick auf die Möglichkeiten der numerischen Strömungssimulation. Die praxisbezogenen Beiträge wurden aktualisiert und erweitert und durch Hinweise zur Druck- und Volumenstrommessung ergänzt.
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This book provides a comprehensive state-of-the-knowledge description of the shock wave reflection phenomena from a phenomenological point of view. The first part is a thorough introduction to oblique shock wave reflections, presenting the two major well-known reflection wave configurations, namely, regular (RR) and Mach (MR) reflections, the corresponding two- and three-shock theories, their analytical and graphical solution and the proposed transition boundaries between these two reflection-wave configurations. The second, third and fourth parts describe the reflection phenomena in steady, pseudo-steady and unsteady flows, respectively. Here, the possible specific types of reflection wave configurations are described, criteria for their formation and termination are presented and their governing equations are solved analytically and graphically and compared with experimental results. The resolution of the well-known von Neumann paradox and a detailed description of two new reflection-wave configurations - the Guderely reflection (GR) and Vasilev reflection (VR) - are also given. The fifth part is a detailed listing of the most relevant scientific papers and research reports that have been published so far in the field of shock wave reflection phenomena. Intended as both introduction and reference, this book will benefit scientists and engineers in shock wave related academic and industrial research and development, as well as graduate students wishing to specialize in the field.
Shock waves. --- Fluid dynamics. --- Dynamics --- Fluid mechanics --- Shock (Mechanics) --- Waves --- Hydraulic engineering. --- Engineering. --- Classical and Continuum Physics. --- Engineering Fluid Dynamics. --- Engineering, general. --- Automotive Engineering. --- Construction --- Industrial arts --- Technology --- Engineering, Hydraulic --- Engineering --- Hydraulics --- Shore protection --- Continuum physics. --- Fluid mechanics. --- Automotive engineering. --- Hydromechanics --- Continuum mechanics --- Classical field theory --- Continuum physics --- Physics
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