Chemical Engineering Fluid Mechanics - Ron Darby.pdf

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Preface
The objectives of this book are twofold: (1) for the student, to show how the
fundamental principles underlying the behavior of fluids (with emphasis on
one-dimensional macroscopic balances) can be applied in an organized and
systematic manner to the solution of practical engineering problems, and (2)
for the practicing engineer, to provide a ready reference of current informa-
tion and basic methods for the analysis of a variety of problems encountered
in practical engineering situations.
The scope of coverage includes internal flows of Newtonian and non-
Newtonian incompressible fluids, adiabatic and isothermal compressible
flows (up to sonic or choking conditions), two-phase (gas–liquid, solid–
liquid, and gas–solid) flows, external flows (e.g., drag), and flow in porous
media. Applications include dimensional analysis and scale-up, piping sys-
tems with fittings for Newtonian and non-Newtonian fluids (for unknown
driving force, unknown flow rate, unknown diameter, or most economical
diameter), compressible pipe flows up to choked flow, flow measurement
and control, pumps, compressors, fluid-particle separation methods (e.g.,
iii
iv
Preface
centrifugal, sedimentation, filtration), packed columns, fluidized beds, sedi-
mentation, solids transport in slurry and pneumatic flow, and frozen and
flashing two-phase gas–liquid flows. The treatment is from the viewpoint of
the process engineer, who is concerned with equipment operation, perfor-
mance, sizing, and selection, as opposed to the details of mechanical design
or the details of flow patterns in such situations.
For the student, this is a basic text for a first-level course in process
engineering fluid mechanics, which emphasizes the systematic application of
fundamental principles (e.g., macroscopic mass, energy, and momentum
balances and economics) to the analysis of a variety of fluid problems of
a practical nature. Methods of analysis of many of these operations have
been taken from the recent technical literature, and have not previously been
available in textbooks. This book includes numerous problems that illus-
trate these applications at the end of each chapter.
For the practicing engineer, this book serves as a useful reference for
the working equations that govern many applications of practical interest,
as well as a source for basic principles needed to analyze other fluid systems
not covered explicitly in the book. The objective here is not to provide a
mindless set of recipes for rote application, however, but to demonstrate an
organized approach to problem analysis beginning with basic principles and
ending with results of very practical applicability.
Chemical Engineering Fluid Mechanics is based on notes that I have
complied and continually revised while teaching the junior-level fluid
mechanics course for chemical engineering students at Texas A&M
University over the last 30 years. It has been my experience that, when
being introduced to a new subject, students learn best by starting with
simple special cases that they can easily relate to physically, and then pro-
gressing to more generalized formulations and more complex problems.
That is the philosophy adopted in this book. It will certainly be criticized
by some, since it is contrary to the usual procedure followed by most text-
books, in which the basic principles are presented first in the most general
and mathematical form (e.g., the divergence theorem, Reynolds transport
theorem, Navier Stokes equations, etc.), and the special cases are then
derived from these. Esoterically, it is very appealing to progress from the
general to the specific, rather than vice versa. However, having taught from
both perspectives, it is my observation that most beginning students do not
gain an appreciation or understanding from the very general, mathemati-
cally complex, theoretical vector expressions until they have gained a certain
physical feel for how fluids behave, and the laws governing their behavior, in
special situations to which they can easily relate. They also understand and
appreciate the principles much better if they see how they can be applied to
the analysis of practical and useful situations, with results that actually work
Preface
v
in practice. That is why the multi-dimensional vector generalizations of
the basic conservations laws have been eschewed in favor of the simpler
component and one-dimensional form of these laws.
It is also important to maintain a balanced perspective between funda-
mental, or theoretical, and empirical information, for the practicing
engineer must use both to be effective. It has been said that all the tools
of mathematics and physics in the world are not sufficient to calculate how
much water will flow in a given time from a kitchen tap when it is opened.
However, by proper formulation and utilization of certain experimental
observations, this is a routine problem for the engineer. The engineer
must be able to solve certain problems by direct application of theoretical
principles only (e.g., laminar flow in uniform conduits), others by utilizing
hypothetical models that account for a limited understanding of the basic
flow phenomena by incorporation of empirical parameters (e.g., :turbulent
flow in conduits and fittings), and still other problems in which important
information is purely empirical (e.g., pump efficiencies, two-phase flow in
packed columns). In many of these problems (of all types), application of
dimensional analysis (or the principle of ‘‘conservation of dimensions’’) for
generalizing the results of specific analysis, guiding experimental design, and
scaling up both theoretical and experimental results can be a very powerful
tool.
This second edition of the book includes a new chapter on two-phase
flow, which deals with solid–liquid, solid–gas, and frozen and flashing
liquid–gas systems, as well as revised, updated, and extended material
throughout each chapter. For example, the method for selecting the proper
control valve trim to use with a given piping configuration is presented and
illustrated by example in Chapter 10. The section on cyclone separators has
been completely revised and updated, and new material has been incorpo-
rated in a revision of the material on particles in non-Newtonian fluids.
Changes have made throughout the book in an attempt to improve the
clarity and utility of the presentation wherever possible. For example, the
equations for compressible flow in pipes have been reformulated in terms of
variables that are easier to evaluate and represent in dimensionless form.
It is the aim of this book to provide a useful introduction to the
simplified form of basic governing equations and an illustration of a con-
sistent method of applying these to the analysis of a variety of practical flow
problems. Hopefully, the reader will use this as a starting point to delve
more deeply into the limitless expanse of the world of fluid mechanics.
Ron Darby
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