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This textbook presents the basic concepts and methods of fluid
mechanics, including Lagrangian and Eulerian descriptions, tensors
of stresses and strains, continuity, momentum, energy,
thermodynamics laws, and similarity theory. The models and their
solutions are presented within a context of the mechanics of
multiphase media. The treatment fully utilizes the computer algebra
and software system Mathematica (R) to both develop concepts and
help the reader to master modern methods of solving problems in
fluid mechanics. Topics and features: Glossary of over thirty
Mathematica (R) computer programs Extensive, self-contained
appendix of Mathematica (R) functions and their use Chapter
coverage of mechanics of multiphase heterogeneous media Detailed
coverage of theory of shock waves in gas dynamics Thorough
discussion of aerohydrodynamics of ideal and viscous fluids an d
gases Complete worked examples with detailed solutions
Problem-solving approach Foundations of Fluid Mechanics with
Applications is a complete and accessible text or reference for
graduates and professionals in mechanics, applied mathematics,
physical sciences, materials science, and engineering. It is an
essential resource for the study and use of modern solution methods
for problems in fluid mechanics and the underlying mathematical
models. The present, softcover reprint is designed to make this
classic textbook available to a wider audience.
Fluid mechanics (FM) is a branch of science dealing with the
investi gation of flows of continua under the action of external
forces. The fundamentals of FM were laid in the works of the famous
scientists, such as L. Euler, M. V. Lomonosov, D. Bernoulli, J. L.
Lagrange, A. Cauchy, L. Navier, S. D. Poisson, and other classics
of science. Fluid mechanics underwent a rapid development during
the past two centuries, and it now includes, along with the above
branches, aerodynamics, hydrodynamics, rarefied gas dynamics,
mechanics of multi phase and reactive media, etc. The FM
application domains were expanded, and new investigation methods
were developed. Certain concepts introduced by the classics of
science, however, are still of primary importance and will
apparently be of importance in the future. The Lagrangian and
Eulerian descriptions of a continuum, tensors of strains and
stresses, conservation laws for mass, momentum, moment of momentum,
and energy are the examples of such concepts and results. This list
should be augmented by the first and second laws of thermodynamics,
which determine the character and direction of processes at a given
point of a continuum. The availability of the conservation laws is
conditioned by the homogeneity and isotrop icity properties of the
Euclidean space, and the form of these laws is related to the
Newton's laws. The laws of thermodynamics have their foundation in
the statistical physics."
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