Kolumban Hutter, Yongqi Wang

Fluid and Thermodynamics

Volume 2: Advanced Fluid Mechanics and Thermodynamic Fundamentals

• Broschiertes Buch

Produktbeschreibung

In this book fluid mechanics and thermodynamics (F&T) are approached as interwoven, not disjoint fields. The book starts by analyzing the creeping motion around spheres at rest: Stokes flows, the Oseen correction and the Lagerstrom-Kaplun expansion theories are presented, as is the homotopy analysis. 3D creeping flows and rapid granular avalanches are treated in the context of the shallow flow approximation, and it is demonstrated that uniqueness and stability deliver a natural transition to turbulence modeling at the zero, first order closure level. The difference-quotient turbulence model (DQTM) closure scheme reveals the importance of the turbulent closure schemes' non-locality effects. Thermodynamics is presented in the form of the first and second laws, and irreversibility is expressed in terms of an entropy balance. Explicit expressions for constitutive postulates are in conformity with the dissipation inequality. Gas dynamics offer a first application of combined F&T.The book is rounded out by a chapter on dimensional analysis, similitude, and physical experiments.

Produktdetails

• Advances in Geophysical and Environmental Mechanics and Mathematics
• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-81562-6
• Softcover reprint of the original 1st ed. 2016
• Seitenzahl: 656
• Erscheinungstermin: 30. Mai 2018
• Englisch
• Abmessung: 235mm x 155mm x 36mm
• Gewicht: 1005g
• ISBN-13: 9783319815626
• ISBN-10: 3319815628
• Artikelnr.: 53472745

Inhaltsangabe

Creeping Motion around Spheres at Rest in a Newtonian Fluid.- Three-Dimensional Creeping Flow - Systematic Derivation of the Shallow Flow Approximations.- Shallow Rapid Granular Avalanches.- Uniqueness and Stability.- Turbulent Modeling.- Turbulent Mixing Length Models and Their Applications to Elementary Flow Configurations.- Thermodynamics - Fundamentals.- Thermodynamics - Field Formulation.- Gas Dynamics.- Dimensional Analysis, Similitude and Physical Experiments at Laboratory Scale.

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Introduction.- Hydrostatics.- Hydrodynamics of Ideal Liquids.- Conservation of Angular Momentum – Vorticity.- An Almanac of Simple Flow Problems of Ideal Fluids.- Function-Theoretical Methods Applied to Plane Potential Flows.- Viscous Fluids.- Simple Two- and Three-Dimensional Flow Problems of the Navier-Stokes Equations.- Simple Solutions of Boundary Layer Equations.- Pipe Flows.

Rezensionen

"The authors show the richness of fluid mechanics by articulating topics with mathematical exactitude and approachable style. ... is highly recommended for the bookshelf of every fluid mechanician, physicist, and applied mathematician. The book could also be appropriate as a possible technical elective for upper-class students in engineering, physics, and applied mathematics, or first-year graduate students. Summing Up: Highly recommended. Upper-division undergraduates and above; faculty and professionals." (R. N. Laoulache, Choice, Vol. 54 (10), June, 2017)
"This book is exemplary presented and fills an important gap in the literature, as it has been written specifically for students to acquire the basic knowledge of fluid mechanics and thermodynamics, with particular attention to the topic of boundary layer theory,which is very topcial at present. ... the book delivers an excellent account of what I believe is an appropriate collection of subjects in very topical areas."(Ioan Pop, zbMATH 1352.76002, 2017)