A Modern Course in Transport Phenomena
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A Modern Course in Transport Phenomena

David C. Venerus, Hans Christian Öttinger

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eBook - PDF

A Modern Course in Transport Phenomena

David C. Venerus, Hans Christian Öttinger

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About This Book

This advanced text presents a unique approach to studying transport phenomena. Bringing together concepts from both chemical engineering and physics, it makes extensive use of nonequilibrium thermodynamics, discusses kinetic theory, and sets out the tools needed to describe the physics of interfaces and boundaries. More traditional topics such as diffusive and convective transport of momentum, energy and mass are also covered. This is an ideal text for advanced courses in transport phenomena, and for researchers looking to expand their knowledge of the subject. The book also includes: • Novel applications such as complex fluids, transport at interfaces and biological systems, • Approximately 250 exercises with solutions (included separately) designed to enhance understanding and reinforce key concepts, • End-of-chapter summaries.

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22
The
Diffusion
Equation
The
diffusion
equation
for
a
probability
density
is
a
partial
differential
equation
involving
first
and
second
derivatives,
intuitively
associated
with
drift
and
diffusion,
respectively.
As
probability
is
conserved,
it
is
natural
to
introduce
a
probability
flux
such
that
the
rate
of
change
of
the
probability
density
is
given
by
the
divergence
of
the
flux;
this
observation
is
the
essence
of
local
conservation
laws.
Linear
diffusion
equations
on
unbounded
domains
possess
Gaussian
solutions,
which
are
fully
characterized
in
terms
of
first
and
second
moments.
Diffusion
equations
are
linear
in
the
probability
density
and
can
hence
be
analyzed
with
the
eigenfunction
methods
known
from
quantum
mechanics.

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