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Adiabatic Thermodynamics Of Fluids: From Hydrodynamics To General Relativity (Hardcover)
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Adiabatic Thermodynamics Of Fluids: From Hydrodynamics To General Relativity (Hardcover)
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Unlike the traditional approach to thermodynamics, this book begins
with a brief exposition of hydrodynamics. At this stage, the
development is limited to potential flows, because, until recently,
that is all that could be done, but also for didactic reasons.
However, the reader will find that the situation has changed
radically with the discovery of Conservative Hydrodynamics.At the
core of thermodynamics is the Gibbsean minimum energy principle. In
this book, it is generalized to include the hydrodynamical degrees
of freedom; that is, localized as a field theory of density,
pressure, temperature and entropy. The theory is referred to as
local thermodynamics, as opposed to traditional, global
thermodynamics where the main foundation is the variational
principle of Gibbs, with a modification recommended by
Prigogine.This book exists because there is (or was) no
satisfactory theory of the dynamical metric interacting with
extended distributions of matter. It will be shown that any theory
of interacting fields that includes the Einsteinian metric must be
based on an action principle.This allows us, for the first time, to
use 'energy' as a precise concept in vortex dynamics. Sample
applications include rotating planets, Couette flow, stresses in
fluids (inside the meniscus, negative pressures), immiscible
fluids, amongst others.
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