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.