This monograph gives a comprehensive description of the
relationship and connections between kinetic theory and fluid
dynamics, mainly for a time-independent problem in a general
domain. Ambiguities in this relationship are clarified, and the
incompleteness of classical fluid dynamics in describing the
behavior of a gas in the continuum limita "recently reported as the
ghost effecta "is also discussed. The approach used in this work
engages an audience of theoretical physicists, applied
mathematicians, and engineers.
By a systematic asymptotic analysis, fluid-dynamic-type
equations and their associated boundary conditions that take into
account the weak effect of gas rarefaction are derived from the
Boltzmann system. Comprehensive information on the Knudsen-layer
correction is also obtained. Equations and their boundary
conditions are carefully classified depending on the physical
context of problems. Applications are presented to various
physically interesting phenomena, including flows induced by
temperature fields, evaporation and condensation problems, examples
of the ghost effect, and bifurcation of flows.
Key features:
* many applications and physical models of practical
interest
* experimental works such as the Knudsen compressor are examined
to supplement theory
* engineers will not be overwhelmed by sophisticated
mathematical techniques
* mathematicians will benefit from clarity of definitions and
precise physical descriptions given in mathematical terms
* appendices collect key derivations and formulas, important to
the practitioner, but not easily found in the literature
Kinetic Theory and Fluid Dynamics serves as a bridge for those
working indifferent communities where kinetic theory or fluid
dynamics is important: graduate students, researchers and
practitioners in theoretical physics, applied mathematics, and
various branches of engineering. The work can be used in
graduate-level courses in fluid dynamics, gas dynamics, and kinetic
theory; some parts of the text can be used in advanced
undergraduate courses.
General
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