... described using the histogram
entropy. For example, let the eigenpairs for G[f] be denoted by λ
k
, φ
k
for
k =1, ,N. Add up all of the eigenvectors φ
k
for which λ
k
=0:
φ =
λ
k
=0
φ
k
.
Normalize ... result is known as Mathieu’s
equation, and its solutions are either bounded or unbounded, as for Hill’s
viii Contents
2 Dynamical Systems 27
2.1 SystemsofTwoEquations 28
2.1.1 LinearSystems 28
2.1.2 ... introduced a famous iteration that describes the
dynamics of an age-structured population. In Fibonacci’s case, a population
was studied, geometric growth was deduced, and the results were used to
describe...
... Adaptive Backstepping Flight Control for Modern Fighter Aircraft
27
3.1 Inertial position control
We start the outer-loop feedback control design by transforming the tracking control
problem ... derivatives of
(
)
r
y
t
are assumed to be known.
The adaptive backstepping design procedure is similar to the normal backstepping
procedure, only this time a control law (static part) and a ... completely defined. However, care must be taken because the desired virtual control
des,0
μ
is undefined when both
0
x and
0
y
are equal to zero, making the system momentarily
uncontrollable....
... answered numerous
questions about QBE semantics and commercial systems based on QBE. Ron Fagin,
Krishna Kulkarni, Len Shapiro, Jim Melton, Dennis Shasha, and Dirk Van Gucht re-
viewed the book and ... material.
I’d like to thank the many students who helped in developing and checking the solu-
tions to the exercises and provided useful feedback on draft versions of the book. In
alphabetical ... executor)
produced by the CS764 class project. Ranjani Ramamurty considerably extended
Bill’s work on cleaning up and integrating the various modules. Luke Blanshard, Uri
Shaft, and Shaun Flisakowski worked...
... temperature
is
needed. This
can
be
approximated
by:
82
Design
of
GAS-HANDLING
Systems
and
Facilities
(lex'i
continued from
page
79}
FIRED
HEATER
Direct-fired
combustion equipment
... brackish
water
services.
How-
ever,
because
of the
design
of
plate-and-frame exchangers, wherein flu-
ids
are
separated
and
retained
across
gasketed surfaces, they
are
limited
to
... used
if
desired.
It is
important
to
select
the
gasket
materials
to be
compatible
with
the
fluids
and
temperatures being handled.
AERIAL
COOLERS
Aerial
coolers
are
often
used
...
... acid with
the
condensed water.
The
capacity
of a gas
stream
for
holding water vapor
is
reduced
as the
stream
is
compressed
or
cooled. Thus, water
can be
removed
from
the
gas
stream
... used
to
separate
the
acid gases
from
the
condensed water.
The
water
is
accumulated
and
pumped back
to
the
top of the
stripper
as
reflux.
With
the
vapor
and
liquid rates known,
the
... shut-in
and
dumped
to a
waste disposal. Thus,
the
impurities
are
removed
but the MEA
bonded
to the
salts
is
also lost.
For DEA
systems
a
reclaimer
is not
required because
the
...
... downward
through
the bed and
water displaces
the
previously adsorbed gases
until
214
Design
of
GAS-HANDLING
Systems
and
Facilities
Figure
8-14.
Structured (matrix)
packing,
(from
Koch
Industries.)
Contactor
... GAS-HANDLING
Systems
and
Facilities
mit
some
of the wet gas to
bypass
the
desiccant
bed.
Only
a
small
amount
of
wet,
bypassed
gas is
needed
to
cause
freezeups in
cryogenic
plants.
Ledges ... back
in
service
to
dehydrate gas.
The
cooling
gas
could either
be wet gas or gas
that
has
already been
dehydrated.
If wet gas is
used,
it
must
be
dehydrated after being used
...
... have aided, instructed, cri-
tiqued,
and
provided
us
with hours
of
argument about
the
various topics
covered
in
this volume.
In
particular
we
would like
to
thank
Folake
A.
Ayoola,
... Benjamin
T.
Banken, Jorge
Zafra,
Santiago Pacheco,
and
Dinesh
P.
Patel.
We
also
wish
to
acknowledge
Lukman
Mahfoedz,
Fiaz
Shahab,
Hol-
land
Simanjuntak,
Richard
Simanjuntak,
Richard ... verification.
No
warranties
of any
kind,
whether
expressed
or
implied,
are
made
in
connection therewith.
The
user
is
specifically cautioned,
reminded,
and
advised that
any use or
interpretation
...
... Point
Therminoi
is a
registered
trademark
of
Monsanto
Company.
Dowtherm
ami
Syltherm
are
registered
trademarks
of
Dow
Chemical
Company.
UCON
is
a
registered
trademark
oj
Union
Carbide.
... viscosity,
lb/hr-ft
K
=
coefficient
from
Table
2-7
Table
2-7
Value
of K for
Fluid
Flow
Perpendicular
to a
Bank
of
Staggered
Tube
"N"
Rows
Deep
N
K
1
0.24
2
0.27
^
'"}
0.29
4
0.30
5
0.31
6
0.32
10
0.33
Approximate
... Btu/lb-°F
75°F
240°F
400°F
600°F
Therminol
55
Medium
Temp.
Range
Alkylated
Aromatics
635°F
550°F
-15°F
to
550°F
350°F
425
°F
690°F
7.25
6.74
6.22
5.69
f
0.459
0.537
0.612
0.682''
Therminoi
59
Wide
Temp.
Range
Alkylated
Aromatics
650°F
600°F
-50
D
F
to
...
... flow.
J is a
divided
flow.
K
is a
kettle type
reboiler,
which
is a
special type
and is
best explained
by
looking
at the
example
"AKT"
in
Figure
3-9.
Kettle
types
are
... are
needed
for
corrosion control, because
the
materials
would
be
needed only
on the
tubes.
If the
corrosive material
is in the
shell, both
the
tubes
and the
shell would need
to ... liquid
or
where
gas is
liberat-
ed
from
shell
fluid as it is
heated.
The
weir controls
the
liquid, making
sure
the
tubes
are
always immersed
in
liquid.
Gas
that
flashes
...
... EXPANSION
Choking,
or
expansion
of gas
from
a
high pressure
to a
lower pressure,
is
generally
required
for
control
of gas flow
rates.
Choking
is
achieved
by
the use of a
choke
or a
control ... stream referred
to
earlier were reduced
from
105
Ib/MMscf
to 50
Ib/MMscf,
the dew
point would
be
reduced
from
150°F
to
127°F.
That
is, its dew
point will
be
depressed
by
23°F.
Figure
... is
eventually reached.
94
Design
of
GAS-HANDLING
Systems
and
Facilities
If
the
composition
of the
stream
is
known,
the
hydrate temperature
can
be
predicted using vapor-solid...
... calculated
as:
Table
5-1
Maximum Coil
Working
Pressure
from
API
1
2K
Maximum
Working Maximum Working
Nominal
Pressure*
Pressure*
Pipe Nominal
Grade
B
Grade
C
Size
Wall Thickness
... wall thickness
may be
selected.
Very often,
the
coil
length downstream
of the
choke
(L
2
)
is of a
different
diameter
and
wall
thickness
than
the
length upstream
of the
choke
(Lj).
Coil
... hydrate
plug
or
other blockage
at the
choke,
Lj
could
be
subjected
to
total well-
head
shut-in
pressure unless
it is
protected
by a
relief valve.
The
wall thickness
of the
coil
can...
... or
stage.
Structured
Packing
A bed of
structured packing consists
of a bed
support upon which
ele-
ments
of
structured packing
are
placed. Beds
of
structured packing
typi-
cally have ... and
modified
bed
heights have made
the
application
of
packing
to
large-diameter, high-pressure distillation towers
more
common.
A
properly designed packed
bed
system (packing, liquid
distributors, ... ser-
vice
and the bed
regenerated
or
replaced.
Since
the bed
must
be
removed
from
service
to be
regenerated, some spare capacity must
be
provided.
There
are
three commonly used processes...
... sweetened
and
dehydrated
to
pipeline quality.
In
general, this process
is
used
for
bulk
removal
of
CO
2
and is not
used
to
treat
to
less than
3%
CO
2
,
as may be
required
for
... be
removed with cartridge filters. Hydrocarbon liquids
are
usually
removed
in the
flash tank. Degradation products
are
removed
in a
reclaimer
as
previously described.
Storage tanks
and
... MEA
must have inert blanket-gas
systems. Sweet natural
gas or
nitrogen
can be
used
as the
blanket gas. This
is
required because
MEA
will
oxidize when exposed
to the
oxygen
in
air.
As
...