T
Th
he
e
state
state
of
of
in
in pipelin
pipelines,
es,
a
an
nd
d tthe
he
physical
physical
arrangement
arrangement
of
of
equiprnent
equiprnent
around
around th
th e
e
distillation tower, establish
distillation tower, establish
th
th e
e
design
design
parameters
parameters
fo
for
r Ineet
Ineeting
ing
hydraulic
hydraulic
a
an
nd
d
piping
piping
conditions
conditions
o
of
f th
the
e
system.
system.
Robert Kern,
Robert Kern, HoffmannHoffmann La La RocheRoche Inc.*Inc.*
., .,
Th
Th ee required distance,required distance, H,H, betweebetween n fractionatfractionator or inletinlet an
an dd exchanger centerlineexchanger centerline can becan be calculatedcalculated fromfrom Eg.Eg. (1) (1) as:as: (3) (3) (1) (1) (2) (2) Th
Th ee vaporvapor columncolumn c ac an n b eb e neglectedneglected byby assumingassuming
P2
P2
=
=
00 inin Eq. Eq. (1(1)) anandd (3(3). ). All All pressurepressuress are inare in psi;psi; densities,densities, P,P, inin Ib/ft Ib/ft 33;; anandd dimensions,dimensions, H,H, inin ft.ft. As
AsEq. (3) shows, for aEq. (3) shows, for a minimumminimum of of elevation differelevation differ ence between
ence between thethe totoppof of the columnthe column anan dd ththee exchangerexchanger centerlin
centerline, e, thethe pipingpipinganan dd componentscomponents resistances mustresistances must also
also bebe minimal.minimal. must
must be equalbe equal toto oror greatergreater thanthan thethe sumsum of of (1)(1)
th
thee pipe-pipe-systesystem m resiresistanstance,ce, betweebetween n refrefereerencence drop,
drop, anan dd (3)
(3) required pressure difference acrossrequired pressure difference across ththeecontrol valve,control valve, in
in arar
of
of ththee terminatingterminating in in FF
III
I
vapor vapor liquid liquid liquid liquido
o
ThThee statestate of of anan dd thermalthermal conditions in conditions in tillation
tillation colucolu circuits. circuits. The The or or Fluid Fluid ca ca p. p. 107.)107.) In
In this article, wethis article, we examineexamine ththee hydraulics forhydraulics for the following:
the following:
1.
1. Condensers with gravity-flowCondensers with gravity-flow returnreturn lines.lines.
2.
2. CondenCondensers sers with with pumped-reflpumped-reflux ux lilinesnes..
3.
3. Two-stage condensation.Two-stage condensation. Within
Within thethese se grogroups, ups, hydraulichydraulic-design-design anan dd plpmgplpmg design conditions vary, depending
design conditions vary, depending onon ththee statestate of of fluidfluid in
in ththee lineslines anan dd the the physicphysicalal arrangementarrangement of of ththee instalinstal lation.
lation. Vacuum
Vacuum technology has itstechnology has its own own systems,equipmesystems,equipmentnt an
an dd terminology.terminology. PipingPiping designdesign of of vacuum-condensingvacuum-condensing systems
systems areare outside the Euler-Bernoulli-Darcy theoriesoutside the Euler-Bernoulli-Darcy theories an
an dd areare nono tt includedincluded inin this article.this article.
"For
"For biographybiography of of author,author, Eng., Eng., Aug.Aug. 1975. p. 1975. p. 113.113.
II
II
,,
129 129
CHEMICAL ENGINEERING SEPTEMBER CHEMICAL ENGINEERING SEPTEMBER15.15. 19751975
fluids
fluids
tip tip
points A
points A anan dd B; (a) exchanger pressureB; (a) exchanger pressure
Gravity-flow
Gravity-flow
Horizontal condensers-A
Horizontal condensers-Acondensercondenser rangements
rangementsisislocated abovelocated above ththeelevellevel point
point of of the condenser's outlet line, as shownthe condenser's outlet line, as shown an
andd FF1212.. For theFor the horizontal condenserhorizontal condenser inin FF lIb,lIb, enters
enters ththee exchangerexchanger atat the top,the top, anan dd subcooledsubcooled leaves
leaves atat thth ee bottom.bottom. TheThe looped-outlet pipe looped-outlet pipe ensurensureses aa permanent liquidpermanent liquid levellevel in thein the condenser.condenser. ThisThis
level
level isis controlled thrcontrolled throuough gh thethe refluxreflux branchbranch anan dd through
through the takeoff line to storage.the takeoff line to storage. Th
Thee static-head pressure difference,static-head pressure difference, betweenbetweenthth ee
vert
vertical ical overhead overhead linlinee anandd ththee condenser'scondenser's outlet lineoutlet line for the arrangements
for the arrangements inin FF
II
II
can becan be written as:written as: fluid in the pipelines,fluid in the pipelines, anan dd ththeehydraulichydraulic condensing syste
condensing systemsms of of disdis mns, are
mns, are the the rereveversrsee of of thosethose inin reboilerreboiler inlet line to condensers can carry superheated inlet line to condensers can carry superheated saturated
saturatedvapor, or dispersed vapor-liquid mixtures.vapor, or dispersed vapor-liquid mixtures. is
is coolcooled ed in in the exchangerthe exchanger,, anan dd partialpartial oror fullfull condensation
condensation taktakes es plaplace.ce. TheThe condenscondenser's outlet er's outlet lineline n
n havehave stratified andstratified and dispersed two-phase flow, satudispersed two-phase flow, satu rated
rated liquid,liquid, oror subcoolsubcoolcd cd liquidliquid.. InIn addition, thaddition, thee ing fluid
ing fluid cacann bebe a mixture of two substances.a mixture of two substances. Thus,Thus, thisthis type
typeof of condensacondensa tion offtion offerers s a wide ranga wide rang ee of of classificationclassification from a thermodynamic standpoint
from a thermodynamic standpoint [1].[1]. In
In contrcontrast, ast, saturatsaturated ed liquliquid id normalnormally ly flflowows s inin thethe downcomer
downcomer of of reboilcrs.reboilcrs. ThThee liquidliquid isis vaporized whilevaporized while passing
passing throughthrough the the exchanexchanger.ger. TheThe reboireboiler'ler's s outletoutlet line carries a dispersed vapor-liquid
line carries a dispersed vapor-liquid mixturemixture havinghaving aa vapor
vapor content of content of 3030 toto
of
of this series for more details,this series for more details, Chern.Chern. Eng.,Eng., Aug.Aug. 4, 4, 1971975,5, tipe;tipe;
tipcv: tipcv:
reflll.x
reflll.x
"gravity-flow "gravity-flow tiPs, tiPs, flow" flow" 90%90% of of total total flflowow. . (See(See PartPart 99 \vill
\vill
see
1
)
Vertical reflux condense
vapors on or of
Generally, in
piping is low-about a
psi/lOO ft. Inletan d outlet ment
resistancean dshould no tbe (Using three
unusual.)
In
the sheIl. This
A baffle (or baffles) in the plane through the
two inletan dtwo
an d reduce entrance an d In this case, th e inlet an d metrical.
Th e subcooled liquid for can be drained or
product stream F /la
cooler before storage.
Vapor 130 CHEMICAL ENGINEERING
I
!-i ,'2condensers wit gravity-flow
th sheilside tuheside exchanger
e ; : : , ' Q
f " = ~ * ~ J " < : ~ i " . ~ ) < F " , " , ~ ~ = ~ ~ : ! . ~ . - c ; : :
ToC O O ~ ~ i
Point
Drain
condensing systems, the unitloss in the tenth or a hundredth of 1 resistances to process equip usually take a considerable portionof th e pipeline ignoredin the calculations. decimal places in the calculations is not
horizontal condensers, condensation takes place in gives lower resistance than th e tubeside. exchangerisin the horizontal
exchanger's centerline. If necessary,
nozzles can halv.e the total flow, exit resistances considerably. outlet piping should be sym the arrangementin F /1b
pumped directly to storage. Th e
is usually directed through a Horizontal condensers with gravity-flow reflux
outlet
fo
a.Saturatedliquid {sheiisid condensation}
Vapor
Seal loops prevent a flow of vapor in gravity-flow condensing systems
where PI is usuallyvapor density,and P2is vapor-liquid
Fo r th e dimensions given in F /5, the static-head difference will be:
(9) (8)
leg (Zz dimension in F /3), th e piping design should be such as to prevent siphoning that can empty the seal.
If dimension ZI is smaller than Z2' an d th e pressure
just before th e seal loop an d at th e terminating point
after th e seal loop is identical (for example, with greatly reduced flow), liquid ca n be siphoned ou t of th e seal;
an d intermittently, th e condenser will no t operate well. This can be prevented if ZI is designed to be longer
than Zz (see F /3a).
Fo r th e arrangement in F /3b, th e final vertical leg has a larger diameter than th e gravity-flow reflux line. Again, this ca n prevent th e siphoning of liquid from th e seal loop.
Another arrangement (F /3c) ha s a closed vent line. This ca n be openedat reduced condensate flow to keep th e seal loop filled with liquid. With this type of vent ing, th e pressure difference across the vent valve should be zero. Therefore, it is essential to connect th e end points of the vent line to locations where pressures ar e expected to be about equal.
Pumped-reflux arrangements
Typical overhead lines for hydrocarbon distillation columns are shown in F /4. Fluid circulation in the piping is th e result of th e thermosiphon effect in grav ity-reflux condensation. Fo r th e systems shown in F /4,
there is (and most of the time must be ) a pressure difference between th e to p of th e tower an d reflux drum. Th e reflux drum ha s a pump, which returns th e liquid to th e to p of th e tower or sends it to storage.
In _these arrangements (besides the sum of the static heads), actual pressure differences,
Control valves in a low point of Sufficient static vaporization no t receive a Vertical with (F In gravity-flow -provided t o condenser's outlet ing a liquid an d F/2c. If th e 131 jj.197j . - - - . _ . _.._ - - - , \/ent reversed
6.P also enter into th e calculations:
(7)
svstems should be located at
the line an d product stream.
head the valve inlet will prevent
across A product cooler should
liquid-vapor mixture.
condensers-Arrangements for these condensers gravity-flow are shown in F /2. Conden sation ca n take in the shell (F /2a), or tubes /2b). A single-pass vertical condenser is more suitable for liquid subcooling than a horizontal one. Th e seal loop heightca n be adjusted within a greater range than
with horizontal condensers (F/2c). Th e required liquid level in th e exchanger shell is determined by the ex changer's designer.
Th e hydraulic balance for the shown
in F /2 is:
(1/144)(H I PI
+
(4)HI H 2P2
+
(6)where PI is th e density of condensate in the reflux line, P3is the vapor density in the overhead line, an d P2is
th e average density in the vertical exchanger:
Seal loop _preve_nts flow reversal
condensing systems, a seal loop is
prevent a flow of vapor in the
line.This loop ca n be used for hold in the condenser, as shown in F /la
gravity-flow reflux line terminates in a vertical is th e sum of piping, exchanger, control-valve (if any), resistances:
=
+
+
(5)Th e elevation difference, as expressed from Eq. (4), between th e condenser's outlet an d th e reflux inlet noz zle will be:
these r('tun; before the valve. outlets place arrangements i'2) (1/144)H 3P3
+
6.P (l/PI)(f!;Ii'3 1446.P) re"'ersed level ...here 6.P 6.P 6.Pe' ·and 6.Pcv' 6.P 6.P t:..Pe 6.pcvI
! IL
PI
P1H 1 = o.Expressing H 2 from Eq. (12) in feet, we get:
H 2 (13)
In layout design, usually th e reflux drum is elevated first in accordance with the required NPSH (net posi tive suction head) of th e reflux pump. Th e dimensions shown in Detail A of F /5 will establish the condenser
elevation from grade.
Elevated condensers and details of reflux drum
Slug flow
is
undesirable
Slug flow ca n develop in th e pocketed condenser outlet line shown in F /5, depending on vapor-liquid proportion an d fluid velocity. Slug flow should be
avoided because it ca n cause undesirable pressure surges.
An empirical relation can be used to estimate th e
slug-flow region. If th e velocity (calculate d with two phase density) in the pipeline is smaller than (5Pl/
P v)1/2, slug flow is possible. Th e type of flow ca n also sure of th e overhead vapor line'can be neglected.
Con-sider: Froth flow
. Liquid and vapor velocities type of flow
133
CHEMICAL SEPTEMBER IS,1975