Fluid and Thermodynamics

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.

Comprehensive overview emphasizing the physical and mathematical foundations of fluid mechanics and thermodynamics Outlines how modern, rational thermodynamic concepts are built to found a unified topic Offers numerous exact solutions of flows in simple configurations which are constructed and graphically supported Provides applications to problems selected for their geological, geophysical, environmental, and climatological significance Includes supplementary material: sn.pub/extras

Texte du rabat
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.

Contenu
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 Congurations.- Thermodynamics Fundamentals.- Thermodynamics Field Formulation.- Gas Dynamics.- Dimensional Analysis, Similitude and Physical Experiments at Laboratory Scale.