Distillation - Robert H. Perry.pdf

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Source: Perry’s Chemical Engineers’ Handbook
Section 13
Distillation
J. D. Seader, Ph.D., Professor of Chemical Engineering, University of Utah, Salt Lake
City, Utah; Fellow, American Institute of Chemical Engineers; Member, American Chemical
Society; Member, American Society for Engineering Education. (Section Editor*)
Jeffrey J. Siirola, Ph.D., Research Fellow, Eastman Chemical Company; Member,
National Academy of Engineering; Fellow, American Institute of Chemical Engineers, American
Chemical Society, American Association for Artificial Intelligence, American Society for Engi-
neering Education. (Enhanced Distillation)
Scott D. Barnicki, Ph.D., Senior Research Chemical Engineer, Eastman Chemical Com-
pany. (Enhanced Distillation)
CONTINUOUS-DISTILLATION OPERATIONS
General Principles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
13-4
McCabe-Thiele Method. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-27
Operating Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-27
Thermal Condition of the Feed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-28
Equilibrium-Stage Construction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-29
Total-Column Construction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-29
Feed-Stage Location. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-32
Minimum Stages . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-32
Minimum Reflux. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-32
Intermediate Reboilers and Condensers . . . . . . . . . . . . . . . . . . . . . . . 13-32
Optimum Reflux Ratio . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-32
Difficult Separations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-32
Stage Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-34
Miscellaneous Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-34
Complex Distillation Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
13-4
Related Separation Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
13-5
Synthesis of Multicomponent Separation Systems . . . . . . . . . . . . . . . . .
13-9
THERMODYNAMIC DATA
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-10
Phase Equilibrium Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-10
Graphical K- Value Correlations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-10
Analytical K- Value Correlations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-16
DEGREES OF FREEDOM AND DESIGN VARIABLES
Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-22
Analysis of Elements. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-22
Analysis of Units . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-23
Other Units and Complex Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-24
APPROXIMATE MULTICOMPONENT
DISTILLATION METHODS
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-35
Fenske-Underwood-Gilliland (FUG) Shortcut Method. . . . . . . . . . . . . 13-35
Example 1: Calculation of FUG Method. . . . . . . . . . . . . . . . . . . . . . . 13-36
Kremser Group Method. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-37
Example 2: Calculation of Kremser Method . . . . . . . . . . . . . . . . . . . . 13-39
SINGLE-STAGE EQUILIBRIUM-FLASH CALCULATIONS
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-25
Bubble Point and Dew Point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-25
Isothermal Flash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-25
Adiabatic Flash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-26
Other Flash Specifications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-26
Three-Phase Flash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-26
Complex Mixtures. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-26
RIGOROUS METHODS FOR MULTICOMPONENT
DISTILLATION-TYPE SEPARATIONS
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-39
Thiele-Geddes Stage-by-Stage Method for Simple Distillation . . . . . . . 13-40
Example 3: Calculation of TG Method . . . . . . . . . . . . . . . . . . . . . . . . 13-40
Equation-Tearing Procedures Using the Tridiagonal-Matrix
Algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-43
Tridiagonal-Matrix Algorithm. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-44
BP Method for Distillation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-45
Example 4: Calculation of the BP Method . . . . . . . . . . . . . . . . . . . . . 13-46
GRAPHICAL METHODS FOR BINARY DISTILLATION
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-26
Phase Equilibrium Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-27
* Certain portions of this section draw heavily on the work of Buford D. Smith, editor of this section in the fifth edition.
13-1
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Equilibrium-Stage Concept . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
13-4
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Distillation
13-2 DISTILLATION
SR Method for Absorption and Stripping . . . . . . . . . . . . . . . . . . . . . . 13-47
Example 5: Calculation of the SR Method . . . . . . . . . . . . . . . . . . . . . 13-47
Simultaneous-Correction Procedures . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-48
Naphtali-Sandholm SC Method. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-48
Example 6: Calculation of Naphtali-Sandholm SC Method . . . . . . . . 13-49
Inside-Out Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-49
Example 7: Calculation of Inside-Out Method . . . . . . . . . . . . . . . . . . 13-51
Homotopy-Continuation Methods. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-51
Stage Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-52
Rate-Based Models. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-52
Material Balances (2 C
Reactive Distillation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-81
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-81
Simulation, Modeling, and Design Feasibility . . . . . . . . . . . . . . . . . . 13-81
Mechanical Design and Implementation Issues . . . . . . . . . . . . . . . . . 13-83
Process Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-83
2 Equations) . . . . . . . . . . . . . . . . . . . . . . . . . 13-53
Energy Balances (3 Equations) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-53
Mass-Transfer Rates (2 C
PETROLEUM AND COMPLEX-MIXTURE DISTILLATION
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-85
Characterization of Petroleum and Petroleum Fractions . . . . . . . . . . . . 13-86
Applications of Petroleum Distillation. . . . . . . . . . . . . . . . . . . . . . . . . . . 13-89
Design Procedures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-89
Example 9: Simulation Calculation of an Atmospheric Tower . . . . . . 13-93
2 Equations) . . . . . . . . . . . . . . . . . . . . . . . 13-53
Summation of Mole Fractions (2 Equations) . . . . . . . . . . . . . . . . . . . 13-53
Hydraulic Equation for Stage Pressure Drop (1 Equation) . . . . . . . . 13-53
Interface Equilibrium ( C Equations) . . . . . . . . . . . . . . . . . . . . . . . . . 13-53
Example 8: Calculation of Rate-Based Distillation . . . . . . . . . . . . . . . 13-54
BATCH DISTILLATION
Simple Batch Distillation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-96
Batch Distillation with Rectification . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-96
Control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-96
Approximate Calculation Procedures for Binary Mixtures . . . . . . . . . . . 13-97
Operating Methods. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-98
Batch Rectification at Constant Reflux . . . . . . . . . . . . . . . . . . . . . . . . 13-98
Batch Rectification at Constant Overhead Composition . . . . . . . . . . 13-98
Other Operating Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-99
Effect of Column Holdup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-99
Shortcut Methods for Multicomponent Batch Rectification . . . . . . . . . 13-100
Calculational Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-100
Rigorous Computer-Based Calculation Procedures . . . . . . . . . . . . . . 13-100
Example 10: Calculation of Multicomponent Batch Distillation . . . . 13-102
Rapid Solution Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-103
ENHANCED DISTILLATION
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-54
Azeotropism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-54
Residue Curve Maps and Distillation Region Diagrams . . . . . . . . . . . . 13-56
Applications of RCM and DRD. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-58
Extension to Batch Distillation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-66
Azeotropic Distillation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-68
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-68
Exploitation of Homogeneous Azeotropes . . . . . . . . . . . . . . . . . . . . . 13-69
Exploitation of Pressure Sensitivity . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-72
Exploitation of Boundary Curvature . . . . . . . . . . . . . . . . . . . . . . . . . . 13-73
Exploitation of Azeotropy and Liquid-Phase Immiscibility . . . . . . . . 13-73
Design and Operation of Azeotropic Distillation Columns . . . . . . . . 13-75
Extractive Distillation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-75
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-75
Solvent Effects in Extractive Distillation. . . . . . . . . . . . . . . . . . . . . . . 13-76
Extractive Distillation Design and Optimization . . . . . . . . . . . . . . . . 13-77
Solvent Screening and Selection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-79
Extractive Distillation by Salt Effects . . . . . . . . . . . . . . . . . . . . . . . . . 13-81
DYNAMIC DISTILLATION
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-104
Ideal Binary Distillation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-104
Multicomponent Distillation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13-105
PACKED COLUMNS
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Distillation
DISTILLATION 13-3
Nomenclature and Units
U.S.
U.S.
Symbol
Definition
SI units
customary
units
Symbol
Definition
SI units
customary
units
A
Absorption factor
X
Vector of stage variables
A
Area
m 2
ft 2
a
Activity
C
Number of chemical species
b
Component flow rate
(kg
mol)/s
(lb
mol)/h
D
Distillate flow rate
(kg
mol)/s
(lb
mol)/h
in bottoms
E
Deviation from set point
d
Component flow rate
(kg
mol)/s
(lb
mol)/h
in distillate
E
Residual of heat-transfer
kW
Btu/h
expression
e
Rate of heat transfer
kW
Btu/h
E
Residual of phase
(kg
mol)/s
(lb
mol)/h
f
Fraction of feed
leaving in bottoms
equilibrium expression
F
Feed flow rate
(kg
mol)/s
(lb
mol)/h
f
Fugacity
Pa
psia
F
Vector of stage functions
f
Function in homotopy expression
G
Interlink flow rate
(kg
mol)/s
(lb
mol)/h
g
Function in homotopy expression
G
Volume holdup of liquid
m 3
ft 3
g
Residual of energy balance
kW
Btu/h
H
Residual of energy balance
kW
Btu/h
h
Height
m
ft
H
Height of a transfer unit
m
ft
h
Homotopy function
H
Enthalpy
J/(kg
mol)
Btu/(lb
mol)
Component flow rate
(kg
mol)/s
(lb
mol)/h
in liquid
K
Vapor-liquid equilibrium
ratio ( K value)
p
Pressure
kPa
psia
K C
Controller gain
q
Measure of thermal
condition of feed
K D
Chemical equilibrium
constant for dimerization
q c
Condenser duty
kW
Btu/h
K d
Liquid-liquid
distribution ratio
q r
Reboiler duty
kW
Btu/h
r
Sidestream ratio
L
Liquid flow rate
(kg
mol)/s
(lb
mol)/h
s
Liquid-sidestream ratio
M
Residual of component
(kg
mol)/s
(lb
mol)/h
t
Homotopy parameter
material balance
t
Time
s
h
M
Liquid holdup
kg
mol
lb
mol
v
Component flow rate in vapor
(kg
mol)/s
(lb
mol)/h
N
Number of transfer units
w
Weight fraction
N
Number of equilibrium stages
x
Mole fraction in liquid
N c
Number of relationships
y
Mole fraction in vapor
N i
Number of design variables
z
Mole fraction in feed
Greek symbols
N m
Minimum number of
equilibrium stages
N p
Number of phases
α
Relative volatility
N r
Number of repetition variables
γ
Activity coefficient
N o
Number of variables
ε
Convergence criterion
N
Rate of mass transfer
(kg
mol)/s
(lb
mol)/h
ξ
Scale factor
P
Pressure
Pa
psia
η
Murphree-stage efficiency
P
Residual of pressure-drop
Pa
psia
θ
Time for distillation
s
h
expression
Θ
Parameter in Underwood
equations
P sat
Vapor pressure
Pa
psia
Q
Heat-transfer rate
kW
Btu/h
Θ
Holland theta factor
Q c
Condenser duty
kW
Btu/h
λ
Eigenvalue
Q r
Reboiler duty
kW
Btu/h
τ
Sum of squares of residuals
Q
Residual of phase-equilibrium
expression
τ
Feedback-reset time
s
h
Φ
Fugacity coefficient of
pure component
R
External-reflux ratio
R m
Minimum-reflux ratio
φ
Entrainment or occlusion ratio
S
Residual of mole-fraction sum
ˆ
Φ
Fugacity coefficient in
mixture
S
Sidestream flow rate
(kg
mol)/s
(lb
mol)/h
S
Stripping factor
Φ A
Fraction of a component in feed
vapor that is not absorbed
S
Vapor-sidestream ratio
Φ S
Fraction of a component in
entering liquid that is
not stripped
T
Temperature
K
°
R
U
Liquid-sidestream rate
(kg
mol)/s
(lb
mol)/h
V
Vapor flow rate
(kg
mol)/s
(lb
mol)/h
Ψ
Factor in Gilliland
correlation
W
Vapor-sidestream rate
(kg
mol)/s
(lb
mol)/h
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Distillation
G ENERAL R EFERENCES : Billet, Distillation Engineering, Chemical Publish-
ing, New York, 1979. Fair and Bolles, “Modern Design of Distillation Columns,”
Chem. Eng., 75 (9), 156 (Apr. 22, 1968). Fredenslund, Gmehling, and Ras-
mussen, Vapor-Liquid Equilibria Using UNIFAC, a Group Contribution
Method, Elsevier, Amsterdam, 1977. Friday and Smith, “An Analysis of the
Equilibrium Stage Separation Problem—Formulation and Convergence,” Am.
Inst. Chem. Eng. J., 10, 698 (1964). Hengstebeck, Distillation—Principles and
Design Procedures, Reinhold, New York, 1961. Henley and Seader, Equilib-
rium-Stage Separation Operations in Chemical Engineering, Wiley, New York,
1981. Hoffman, Azeotropic and Extractive Distillation, Wiley, New York, 1964.
Holland, Fundamentals and Modeling of Separation Processes, Prentice-Hall,
Englewood Cliffs, N.J., 1975. Holland, Fundamentals of Multicomponent Distil-
lation, McGraw-Hill, New York, 1981. King, Separation Processes, 2d ed.,
McGraw-Hill, New York, 1980. Kister, Distillation Design, McGraw-Hill, New
York, 1992. Kister, Distillation Operation, McGraw-Hill, New York, 1990.
Robinson and Gilliland, Elements of Fractional Distillation, 4th ed., McGraw-
Hill, New York, 1950. Rousseau, ed., Handbook of Separation Process Technol-
ogy, Wiley-Interscience, New York, 1987. Seader, The B.C. (Before Computers)
and A.D. of Equilibrium-Stage Operations, Chem. Eng. Educ., Vol. 14 (2),
(Spring 1985). Seader, Chem. Eng. Progress, 85 (10), 41 (1989). Smith, Design of
Equilibrium Stage Processes, McGraw-Hill, New York, 1963. Treybal, Mass
Transfer Operations, 3d ed., McGraw-Hill, New York, 1980. Ullmann’s Encyclo-
pedia of Industrial Chemistry, Vol. B3, VCH, Weinheim, 1988. Van Winkle,
Distillation, McGraw-Hill, New York, 1967.
CONTINUOUS-DISTILLATION OPERATIONS
GENERAL PRINCIPLES
Separation operations achieve their objective by the creation of two
or more coexisting zones which differ in temperature, pressure, com-
position, and/or phase state. Each molecular species in the mixture to
be separated reacts in a unique way to differing environments offered
by these zones. Consequently, as the system moves toward equilib-
rium, each species establishes a different concentration in each zone,
and this results in a separation between the species.
The separation operation called distillation utilizes vapor and liquid
phases at essentially the same temperature and pressure for the coex-
isting zones. Various kinds of devices such as random or structured
packings and plates or trays are used to bring the two phases into inti-
mate contact. Trays are stacked one above the other and enclosed in a
cylindrical shell to form a column. Packings are also generally con-
tained in a cylindrical shell between hold-down and support plates. A
typical tray-type distillation column plus major external accessories is
shown schematically in Fig. 13-1.
The feed material, which is to be separated into fractions, is intro-
duced at one or more points along the column shell. Because of the
difference in gravity between vapor and liquid phases, liquid runs
down the column, cascading from tray to tray, while vapor flows up the
column, contacting liquid at each tray.
Liquid reaching the bottom of the column is partially vaporized in a
heated reboiler to provide boil-up, which is sent back up the column.
The remainder of the bottom liquid is withdrawn as bottoms, or bot-
tom product. Vapor reaching the top of the column is cooled and con-
densed to liquid in the overhead condenser. Part of this liquid is
returned to the column as reflux to provide liquid overflow. The
remainder of the overhead stream is withdrawn as distillate, or over-
head product. In some cases only part of the vapor is condensed so
that a vapor distillate can be withdrawn.
This overall flow pattern in a distillation column provides counter-
current contacting of vapor and liquid streams on all the trays through
the column. Vapor and liquid phases on a given tray approach thermal,
pressure, and composition equilibriums to an extent dependent upon
the efficiency of the contacting tray.
The lighter (lower-boiling) components tend to concentrate in the
vapor phase, while the heavier (higher-boiling) components tend
toward the liquid phase. The result is a vapor phase that becomes
richer in light components as it passes up the column and a liquid
phase that becomes richer in heavy components as it cascades down-
ward. The overall separation achieved between the distillate and the
bottoms depends primarily on the relative volatilities of the compo-
nents, the number of contacting trays, and the ratio of the liquid-
phase flow rate to the vapor-phase flow rate.
If the feed is introduced at one point along the column shell, the
column is divided into an upper section, which is often called the rec-
tifying section, and a lower section, which is often referred to as the
stripping section. These terms become rather indefinite in multiple-
feed columns and in columns from which a liquid or vapor sidestream
is withdrawn somewhere along the column length in addition to the
two end-product streams.
EQUILIBRIUM-STAGE CONCEPT
Until recently, energy and mass-transfer processes in an actual distil-
lation column were considered too complicated to be readily modeled
in any direct way. This difficulty was circumvented by the equilibrium-
stage model, developed by Sorel in 1893, in which vapor and liquid
streams leaving an equilibrium stage are in complete equilibrium with
each other and thermodynamic relations can be used to determine the
temperature of and relate the concentrations in the equilibrium
streams at a given pressure. A hypothetical column composed of equi-
librium stages (instead of actual contact trays) is designed to accom-
plish the separation specified for the actual column. The number of
hypothetical equilibrium stages required is then converted to a num-
ber of actual trays by means of tray efficiencies, which describe the
extent to which the performance of an actual contact tray duplicates
the performance of an equilibrium stage. Alternatively and preferably,
tray inefficiencies can be accounted for by using rate-based models
that are described below.
Use of the equilibrium-stage concept separates the design of a dis-
tillation column into three major steps: (1) Thermodynamic data and
methods needed to predict equilibrium-phase compositions are assem-
bled. (2) The number of equilibrium stages required to accomplish a
specified separation, or the separation that will be accomplished in a
given number of equilibrium stages, is calculated. (3) The number of
equilibrium stages is converted to an equivalent number of actual con-
tact trays or height of packing, and the column diameter is determined.
Much of the third step is eliminated if a rate-based model is used. This
section deals primarily with the second step. Section 14 covers the
third step. Sections 3 and 4 cover the first step, but a summary of meth-
ods and some useful data are included in this section.
COMPLEX DISTILLATION OPERATIONS
All separation operations require energy input in the form of heat or
work. In the conventional distillation operation, as typified in Fig.
13-1, energy required to separate the species is added in the form of
heat to the reboiler at the bottom of the column, where the tempera-
ture is highest. Also, heat is removed from a condenser at the top of
the column, where the temperature is lowest. This frequently results
13-4
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Distillation
CONTINUOUS-DISTILLATION OPERATIONS 13-5
FIG. 13-1 Schematic diagram and nomenclature for a simple distillation col-
umn with one feed, a total overhead condenser, and a partial reboiler.
column or split-tower arrangement of Fig. 13-3 a, which corresponds
somewhat to the energy-saving concept employed in multieffect evap-
oration, might be used. The feed is split more or less equally among
columns that operate in parallel, but at different pressures, in a cas-
cade that decreases from left to right. With proper selection of col-
umn-operating pressure, this permits the overhead vapor from the
higher-pressure column to be condensed in the reboiler of the lower-
pressure column. External heat-transfer media are needed only for
the reboiler of the first effect and the condenser of the last effect.
Thus, for N effects, utility requirements are of the order 1/ N of those
for a conventional single-effect column. Wankat [ Ind. Eng. Chem.
Res., 32, 894 (1993)] develops a large number of more complex mul-
tieffect schemes, some of which show significant reductions in energy
requirements.
In another alternative, shown in Fig. 13-3 b, the rectifying section
may be operated at a pressure sufficiently higher than that of the strip-
ping section such that heat can be transferred between any desired
pairs of stages of the two sections. This technique, described by Mah
et al. (op. cit.) and referred to as SRV (secondary reflux and vaporiza-
tion) distillation, can result in a significant reduction in utility require-
ments for the overhead condenser and bottoms reboiler.
When multicomponent mixtures are to be separated into three or
more products, sequences of simple distillation columns of the type
shown in Fig. 13-1 are commonly used. For example, if a ternary mix-
ture is to be separated into three relatively pure products, either of the
two sequences in Fig. 13-4 can be used. In the direct sequence, shown
in Fig. 13-4 a, all products but the heaviest are removed one by one as
distillates. The reverse is true for the indirect sequence, shown in Fig.
13-4 b. The number of possible sequences of simple distillation
columns increases rapidly with the number of products. Thus,
although only the 2 sequences shown in Fig. 13-4 are possible for a
mixture separated into 3 products, 14 different sequences, one of
which is shown in Fig. 13-5, can be synthesized when 5 products are
to be obtained.
As shown in a study by Tedder and Rudd [ Am. Inst. Chem. Eng. J.,
24, 303 (1978)], conventional sequences like those of Fig. 13-4 may
not always be the optimal choice, particularly when species of inter-
mediate volatility are present in large amounts in the feed or need not
be recovered at high purity. Of particular interest are thermally cou-
pled systems. For example, in Fig. 13-6 a, an impure-vapor sidestream
is withdrawn from the first column and purified in a side-cut rectifier,
the bottoms of which is returned to the first column. The thermally
coupled system in Fig. 13-6 b, discussed by Stupin and Lockhart
[ Chem. Eng. Prog., 68 (10), 71 (1972)] and referred to as Petlyuk tow-
ers, is particularly useful for reducing energy requirements when the
initial feed contains close-boiling species. Shown for a ternary feed,
the first column in Fig. 13-6 b is a prefractionator, which sends essen-
tially all of the light component and heavy component to the distillate
and bottoms respectively, but permits the component of intermediate
volatility to be split between the distillate and bottoms. Products from
the prefractionator are sent to appropriate feed trays in the second
column, where all three products are produced, the middle product
being taken off as a sidestream. Only the second column is provided
with condenser and reboiler; reflux and boil-up for the prefractionator
are obtained from the second column. This concept is readily ex-
tended to separations that produce more than three products. Proce-
dures for the optimal design of thermally coupled systems are
presented by Triantafyllou and Smith [ Trans. I. Chem. E., 70, Part A,
118 (1992)]. A scheme for combining thermal coupling with heat
pumps is developed by Agrawal and Yee [ Ind. Eng. Chem. Res., 33,
2717 (1994)].
in a large energy-input requirement and low overall thermodynamic
efficiency, when the heat removed in the condenser is wasted. Com-
plex distillation operations that offer higher thermodynamic efficiency
and lower energy-input requirements have been under intense inves-
tigation. In some cases, all or a portion of the energy input is as work.
Complex distillation operations may utilize single columns, as
shown in Fig. 13-2 and discussed by Petterson and Wells [ Chem. Eng.,
84 (20), 78 (Sept. 26, 1977)], Null [ Chem. Eng. Prog., 72 (7), 58
(1976)], and Brannon and Marple [ Am. Inst. Chem. Eng. Symp. Ser.
76, 192 , 10 (1980)], or two or more columns that are thermally linked
as shown in Figs. 13-3 and 13-6 and discussed by Petterson and Wells
(op. cit.) and Mah, Nicholas, and Wodnik [ Am. Inst. Chem. Eng. J.,
23, 651 (1977)].
In Fig. 13-2 a, which is particularly useful when a large temperature
difference exists between the ends of the column, interreboilers add
heat at lower temperatures and/or intercondensers remove heat at
higher temperatures. As shown in Fig. 13-2 b, these intermediate heat
exchangers may be coupled with a heat pump that takes energy from
the intercondenser and uses shaft work to elevate this energy to a tem-
perature high enough to transfer it to the interreboiler.
Particularly when the temperature difference between the ends of
the column is not large, any of the three heat-pump systems in Fig.
13-2 c, d, and e that involve thermal coupling of the overhead con-
denser and bottoms reboiler might be considered to eliminate exter-
nal heat transfer almost entirely, substituting shaft work as the prime
energy input for achieving the separation. More complex arrange-
ments are considered by Björn, Grén, and Ström [ Chem. Eng.
Process., 29, 185 (1991)]. Alternatively, the well-known multiple-
RELATED SEPARATION OPERATIONS
The simple and complex distillation operations just described all have
two things in common: (1) both rectifying and stripping sections are
provided so that a separation can be achieved between two compo-
nents that are adjacent in volatility; and (2) the separation is effected
only by the addition and removal of energy and not by the addition of
any mass separating agent (MSA) such as in liquid-liquid extraction.
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