92
Dist ri b u tio n s of R eside n c e T i mes for C h em ical R ea ctors Ulina Ayu Pangesti // 1306447722

PR 1-Bioreaktor-Ulina Ayu Pangesti

Embed Size (px)

Citation preview

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 1/109

Distribu

Residencfor Chem

Reactors

Ulina Ayu Pan

1306447722

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 2/109

General Characteristics

13.1

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 3/109

Distributions ofResidence i!es

for "#e!icalReactors

Part 1Using t#e RD ti!efunction $%t& and!ean residence

ti!e t!

rid

Part 2RD data andfunction forcon)ersion

'redictions and

e*it concentration

General Characteristics

Residence Time Distribution:

 o #el' c#aracteri+e non ideal reactdo not follo, t#e !odel de)elo'ed fPRs and PRs.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 4/109

General Characteristics

All euations and !odels in t#is boo are for c#e!

t#at are ideal 'erfectly !i*ed batc# and !i*ed co

o,e)er t#ese !odels are not al,ays a''licable

reactors %i.e. non(ideal&

 #e 'erfor!ance and e5ciency of reactors in reala''lications !ay s#o, de)iation fro! t#e ideal.

ence non(ideal reactors ,ill be t#e 'rinci'le ana

for furt#er calculations.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 5/109

General Characteristics

PAR 1

 #e t,o !aor ste's t#at ,ill i!'act t#e RD for non idare

1. o diagnose 'roble!s of reactors in o'eration

2. o 'redict con)ersion or e8uent concentration in e*reactors ,#en a ne, reaction is used in t#e reactor.

 #e ai! is to analy+e and c#aracteri+e non(ideal reacto

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 6/109

General characteristics of Sy

-9-$: 1

( ;as(liuid continuous(stirred tan gaseous reactant bubble into t#e rreactant is fed t#roug# an inlet tubside.

(  #e continuous liuid '#ase can be'erfectly !i*ed and t#e reaction rato t#e total bubble surface area.

( -o!e gas bubbles can esca'e t#e di=erent si+es.

(  #e ti!e t#e bubble s'ends in t#e TIME RESIDENCE.

(  #e analysis s#ould be based on t#of eac# bubbles >? a)erage resi

(  otal reaction rate is obtain fro! sububbles in t#e reactor.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 7/109

-9-$: 2

( Paced bed reactors ,it# a catalyst s#o,s t#a@uid does not @o, t#roug# t#e reactor unifor!

( -o!e sections in t#e reactor s#o,s little resis,#ic# leads to !aor 'ortion of t#e @uid !ay

its 'at#,ay

( :olecules follo,ing t#is 'at#,ay do not s'en

t#e reactor as t#ose follo,ing t#roug# t#e regresistance to @o,.

(  #ere is also a distribution of ti!es t#at !ole

reactor in contact ,it# t#e catalyst.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 8/109

-9-$: 3

( or "-Rs t#e inlet and outlet 'i'es are close to

(  ans are !odeled ,it# a by'ass strea! ,#ere

occurred

( -tagnant regions %dead +ones& are often encount#ere is little or no e*c#ange of !aterial ,it# t#e

regions ,#ic# leads to no reaction occurring.

( $*'eri!ents ,ere done to deter!ine

t#e a!ount of t#e !aterial e=ecti)ely

by'assed and t#e )olu!e of t#e dead

+one.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 9/109

Concepts for Non-Ideal Re

"once'ts to describe non(ideal reactors are

1. #e distribution of residence ti!es in t#e

2. #e uality of !i*ing

3. #e !odel used to describe t#e syste!

n real and non(ideal reactors non(ideal @o,e*ist resulting in ine=ecti)e contacting andcon)ersions

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 10/109

13.1.1

Residence-Time Distribution

Function

 #e use of R- is to analy+e t#e c#e!ical reactor<s 'erf

RD of a reactor is a c#aracteristic of t#e !i*ing t#at oc

c#e!ical reactor.

ro! RD calculations ,e can analy+e ,#en so!e !ole

uicly and ,#en so!e Bo)erstay t#eir ,elco!eC in t#e

Di=erent !i*ing 'atterns %PR no a*ial "-R t#orou

can re@ect t#e RD.

n so!e cases ,#en !i*ing 'atterns are unno,n t#e R

by a gi)en reactor yields distincti)e clues to t#e ty'e of

occurring ,it#in a rector and can also #el' c#aracteri+e

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 11/109

RTD Function

era'a la!a ato!(ato! o!'@uida suda# berada dala! re

:e!beri infor!asi tentang 'enca!'uran %mixing& dal

reator

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 12/109

Measurement of RTD

13.2

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 13/109

Pengukuran RTD

:enguuronsentrasi tracer

'ada e8uentsebagai fungsi

,atu

 racer diinesi 'adat0

:enggunaan tracer 

PR?-$- "R("R RA"$

Earut se!'urgan

dala! ca!'uran

 ida teradsorb'ada 'er!uaan

reator

-ifat Fsis sa!adengan reatan

nert

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 14/109

Metode Injeksi: Pulse Input

Experiment-eu!la# tracer, >o diinesi satu ali e dala! aliran f

eFsen dan ce'at. Gonsentrasi oultet diuur 'er ,atu.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 15/109

 Analisis Single-Input & Si

Output

u!la# tracer yang !eninggalan rea,atu t H tIJt= inre!en ,atu onsentrasi eluaran tracer 

Di!ana

Di!anaN0  otal !aterial teri

rasi !aterial dengan RD di antara t dan t I J

$%t& un

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 16/109

 Kia >0 tida dieta#ui langsung

Persa!aan diintegralan !enadi

:aa deFnisi $%t& !enadi

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 17/109

entu integral RD function

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 18/109

Contoh Soal 13-1

A sa!'le of t#e tracer #ytane at 320 G ,as inected reactor and t#e e8uent concentration ,as !easure

of ti!e resulting in t#e data s#o,n in abel $13(1.1

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 19/109

Contoh Soal 13-1

a. :engga!bar ur)a "%t& dan $%t& sebagai fungsi ,

b. :enentuan frasi !aterial !eninggalan reatoberada sela!a 3(6 !enit dan 7.7L(M.2L !enit da

c. :enentuan frasi !aterial !eninggalan reatoberada sela!a 3 !enit atau urang dala! reat

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 20/109

Jawabana. Data 'ada abel $13(1.1 digunaan untu !e!'

se'erti di ba,a#

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 21/109

Untu !e!'erole# $%t& dari ur)a "%t& dilauan 'eur)a "%t& dengan !etode -i!'son 1/3 dan >I1 geselanutnya&.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 22/109

Menghitung Integral-i!'son 1/3 -i!'son 3/M

Untu >I1 > gena'

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 23/109

:aa $%t& da'at di#itung dengan !e!bagi "%t& dengan L0.0 g !in/!

-e#ingga di'erole# #asil sebagai beriut

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 24/109

b. Data yang di'erole# di'lot 'ada graF di ba,a#. agian ur)a ya

!enunuan frasi !aterial !eninggalan reator yang tela# be!enit dala! reator. Euas ur)a ini di#itung dengan !etode -i!'

%li#at 2 slide sebelu!&.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 25/109

L1N !aterial !eninggalan reator setela# 3(6 dala! reator

3.0N !aterial !eninggalan reator setela# 7.7!enit di dala! reator

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 26/109

c. rasi !aterial yang !eninggalan reator setela# berada di dala!

3 !enit atau urang adala# luas bagian ur)a dari * 0(3.

Dari 'er#itungan 20N !aterial !eninggalan reasetela# 7.7L(M.2L !enit di dala! reactor.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 27/109

Kendala Pulse Input

-ulit dala! !e!'erole# pulse yang cuu' 'ada in

nesi #arus dilauan dala! 'eriode sangat 'end

Dis'ersi antara titi inesi dan !asuan 'ada rea

sangat ecil #ingga da'at diabaian

Gurang aurat a'abila ur)a "%t& )s ,atu !e!ili'anang

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 28/109

13.2.2 Step Tracer Experiment #e second !ost used !et#od of inection input . n t#is !et#od ,e ,ill for!ulate a !general relations#i' bet,een ti!e()arying

and t#e corres'onding concentration in t#eOe s#all state t#e out'ut concentration frois related to t#e in'ut concentration by cointegral

nlet concentration

Pulse in'ut %Dirac delt

!'erfect 'ulse inection

-te' in'ut

Oe can deter!ine t#e cu!ulati e distribu

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 29/109

Oe can deter!ine t#e cu!ulati)e distribudirectly fro! ste' in'ut. A ste' in'ut in t#concentration for a syste! ,it# constant a constant rate of tracer addition to a feeinitiated at ti!e t0.

ecause inlet concentration is a constantcan for! integral function

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 30/109

Di=erentiate t#is e*'ression to obtain t#e RD funct

 #e disadvantages of t#is tec#niue

( Di5cult to !aintain a constant tracer concentratio

( Di=erentiation can on occasion lead to large erro

( Earge a!ount of tracer used for t#is test e*'en

?t#er tracer tec#niues suc# as negati)e ste' %i.e efreuency(res'onse !et#ods and !et#ods t#at use

t#an ste's or 'ulses. #ese !et#ods are !ore di5c

aren<t e*'lained on t#is c#a'ter.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 31/109

Characteristics of theRTD

13.3

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 32/109

Characteristics of the R

E(t) sometimes called exit-age distribution function. $age of distribution of t#e e8uent strea! ,#ic# is !ost usefunctions connected ,it# reactor analysis because it clengt#s of ti!e )arious ato!s s'end at reaction conditions.

Integral relationships of E(t) e*'ressed continuously

 #is euation deFned as cumulative istri!uti"n #uncti"n aOe can calculate %t& at )arious ti!es t fro! t#e area under )s t.

or e*a!'le in igure $13(1 3 %t& at 3 !in ,as 0 20 !eans t#at 2

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 33/109

or e*a!'le in igure $13 1.3 %t& at 3 !in ,as 020 !eans t#at 2!olecules s'ent 3 !in or less in t#e reactor.

 #e s#a'e of %t& cur)e is s#o,n. Using $13(1.3 ,e can calculate %t!inutes. Oe can continue in t#is !anner to construct %t& in ig 13

 #e cur)e is anot#er function t#at #as been deFned as nor!ali+ed'articular in'ut. $. 13(12 #as been used as deFnition of %t& and #at#at as a result it can be obtained as t#e res'onse to a 'ositi)e(ste'

MeanResidenceTime

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 34/109

Mean Residence Time

In the absence of dispersion, and for constant volumetric flow (v=v

what RTD exists for a particulate reactor, ideal or non ideal, this n

space time, τ, is equal to the first moment of RTD function E(t). Th

mean residence time is:

  (13-14)

How to determine the total reactor volume using the cumulative d

function.

Prove tnt =Q for constant )olu!etric flo, ))o.

 Volume of maize molecule, dV, leaving the reactor in a time dt:

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 35/109

y co!'leting t#e euation t#erefore

 #e rig#t #and side is ust t#e !ean residence ti!e t#at t#e !ean residence ti!e is ust t#e s'ace ti!e Q

This result is the true onl" for closed system. Tvolume is determined from the e$:

 

%h & t f RTD

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 36/109

%her &oments of RTD

t is )ery co!!on to co!'are RDs by using t#eir !o!enttrying to co!'are t#eir entire distribution. or t#is 'ur'ose!o!ents nor!ally used. #e second !o!ent co!!only u

about t#e !ean and is called t#e )ariance. DeFned by

 #e t#ird !o!ent is also taen about t#e !ean and is rela

s(e)ness' #e se,ness deFned by

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 37/109

Diagnostics andTroubleshooting

13.L.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 38/109

General Comments

RD can be used to diagnose 'roble!s in e*isting

 #e RD func( tions $%r& and %t& can be used to !

reactor as co!binations of ideal reactors

TypicalRTDsResultingFromDifferentNon

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 39/109

Typical RTDs Resulting From Different Non-

Reactor

%a& RD for near 'lug(Ro, reactor %b& RD for near 'erfectly !i*Paced(bed reactor ,it# dead +ones and c#anneling %d& RD for 'acein %c&S %e& tan reactur ,it# s#ort(circuiting by'assS %f& RD for tanc#anneling %by 'assing or s#ort circuiting& and a dead +one in ,#icslo,ly di=uses in and out

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 40/109

Diagnostics and Troubleshootin

the RTD for ldeal Reactors: CST :ole !ass balance

Res'on to a 'ulse tracer

O#ere Q is t#es'ace ti!e

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 41/109

(a) Perfect Operation

f Q is large t#ere ,il be a slo, decay of t#e out'ut transand $"t for a 'ulse in'ut. f t is s!all t#ere ,ill be ra'id transient "%t&. and $%t& for a 'ulse in'ut.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 42/109

(b) By-passing

A )olu!etric @o, rate U by'asses t#e reactor ,

)olu!etric @o, rate us enters t#e syste! )olu!e

U- I U&

 #e subscri't - denotes t#at 'art of t#e @o, #a

by'assed and only U- enters t#e syste!. ecaus

of t#e @uid by'asses t#e @o, 'assing t#oug# t#e

,ill be less an t#e total )olu!etric rate U- T Uo 

conseuently Q-  Q

Q- ,il be greater t#an t#at if t#ere ,ere no by'as

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 43/109

Oe see fro! t#e %f& cur)e t#at ,e #a)e an initial u!' eual to t#e f'assed.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 44/109

(c) Dead Volume

ecause t#ere is a dead )olu!e ,#ic# t#e @uid does

t#ere is less syste! )olu!e V-D t#an in t#e case o'eration V-D  T V. "onseuently t#e @uid ,ill 'ass t#

reactor ,it# t#e dead )olu!e !ore uicly t#an t#at o'eration.

t#e transients "%t& and $%t& ,ill decay !ore ra'idly ( t#a'erfect o'eration because t#ere is a s!aller syste! )ol( u

D dT blh U

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 45/109

Diagnostics and Troubleshooting Us

RTD for ldeal Reactors: Tubular Rea

'. erfect %peration of R

-'ace ti!e for 'erfect PR are

* R +ith ,hanneling (b"passing)

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 46/109

*. R +ith ,hanneling (b"passing)

-'ace ti!e for t#e reactor syste! ,it# by 'assing

ecause U- T U0 t#e s'ace ti!e

case of by'assing is greater ,#co!'ared to 'erfect o'eration

, R +ith Dead -olume

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 47/109

,.R +ith Dead -olume

 #e dead )olu!e VD could be !anifested by internal ci

a t#e entrance to t#e reactor as s#o,n in igure 13(17.

"o!'ared to 'erfect o'eration t#e s'ace ti!e Q-D is s!aller a

t#e tracer s'ie ,ill occur before Q for 'erfect o'eration.

PFR/CSTRS RTD

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 48/109

PFR/CSTR Series RTD

-tirred tan reactors can be !odeled as a series o!i*ed "-R %)icinity near i!'eller& and PR %'at# 'efectly(!i*ed +one&

PFR/CSTRS i RTD

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 49/109

PFR/CSTR Series RTD

"onsider the ,TR follo+ed b" the R

"-R residence ti!e Q-

PR residence ti!e QP

Pulse tracer inected into "-R

"-R out'ut concentration as function of ti!e beco!

RD of reactor syste!

PFR/CSTRS i RTD

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 50/109

PFR/CSTR Series RTD

RD cur)es $%t& and %t& for "-R(PR series

"onsider the R follo+ed b" the ,TR t#e sa

a''ear at t#e entrance of t#e 'erfectly !i*ed sect

PFR/CSTRS i RTD

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 51/109

PFR/CSTR Series RTD

RD of t#e reactor syste! ,ill be e*actly t#e sa!e

"-R ,as follo,ed by PR.

 #e seuence of "-R and PR in t#e syste! crea

RD results.

E 133C i S

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 52/109

Ex 13-3: Comparing Secon

Order Reaction Systems

irst syste! "-R follo,ed by PR

-econd syste! PR follo,ed by "-R

Qs  QP  1 !in

1.0 !3/!ol.!in

" A0  1 !ol/!3

ind t#e con)ersion in eac# syste!.

E 133C i S

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 53/109

Ex 13-3: Comparing Secon

Order Reaction Systems

irst s"stem:

econd s"stem:

E 133C igS

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 54/109

Ex 13-3: Comparing Secon

Order Reaction Systems

irst s"stem:

"-R !ole balance

PR !ole balance

"on)ersion %W1 ( 0.3M2X/1& 0.61M /1.0

Ex133:ComparingSecon

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 55/109

Ex 13-3: Comparing Secon

Order Reaction Systems

econd s"stem:

PR !ole balance

"-R !ole balance

"on)ersion %W1 ( 0.366X/1& 0.634 /3.2

PFR/CSTRSeriesRTD

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 56/109

PFR/CSTR Series RTD

"on)ersion results are dierent des'ite only a s!

di=erence.

RD is not a co!'lete descri'tion of structure for

reactor or syste! of reactors.

RD is uniue for a 'articular reactor

Reactor is not uniue for a 'articular RD

RD alone is not su5cient to deter!ine its 'erfor!

!ore infor!ation is needed.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 57/109

Part 2:Predicting Conversion

and Exit Concentration

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 58/109

Reactor Modeling Usingthe RTD

13.6

13.6. Reactor Modeling Using the RTD

Part 2 Predicting "on)ersion and $*it"oncentration

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 59/109

g g

Oays ,e use t#e RD data to 'redict con)ersion in non ideal reacto

:odel to 'redict con)ersion in realreactor

136ReactorModeling

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 60/109

13.6. Reactor Modeling

the RTD

 #e RD tells us #o, long t#e )arious @uid ele!en

in t#e reactor

 #e !i*ing of reacting s'ecies is one of t#e !aor

controlling t#e be#a)ior of c#e!ical reactors

or Frst(order reactions t#e con)ersion is inde'en

concentration

136ReactorModeling

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 61/109

13.6. Reactor Modeling

the RTD

&acromi#ing:

'roduces a distribution of residence ti!es )it*"ut, #o,e)er s'

!olecules of di=erent ages encounter one anot#er in t#e reacto

&icromi#ing:

describes #o, !olecules of di=erent ages encounter one anot#2 e*tre!es of !icro!i*ing

1. all !olecules of t#e sa!e age grou' re!ain toget#er as t#et#e reactor and are not !i*ed ,it# any ot#er age until t#ey%e*a!'le complete segregation&

2. !olecules of di=erent age grou's are co!'etely !i*ed at le)el ar soon as t#ey enter t#e reactor %e*a!'le complet

13.6. Reactor Modeling Using the RTD

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 62/109

:acro@uid

A @uid in ,#ic# t#e globules of agi)en age do not !i* ,it# ot#erglobules and could be)isuali+ed as noncoalescentglobules ,#ere all t#e!olecules in a gi)en globule#a)e t#e sa!e age

Microfluid

 A fluid in which molecule

constrained to remain in

globule and are free to m

everywhere

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 63/109

Zero- ParameterModels

13.7

Segregation Model

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 64/109

g g

 #e elements remain segregated fro! eac

t#e 4uid is termed completely segregated

elements of dierent ages do not mi# tog

all

•  #e e*tre!es of co!'lete !iand co!'lete segregation li!its of t#e !icro!i*ing of a!i*ture.

• n t#e segregation !odel

be#a)e as batc# reactors o'edi=erent ti!es

SegregationModel

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 65/109

Segregation Model

Anot#er ,ay of looing at

segregation !odel for a

continuous @o, syste! is

PR s#o,n in Fgure belo,

SegregationModel

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 66/109

Segregation Model

 #e @uid @o,s do,n t#e reactor in 'lu

$ac# e*it strea! corres'onds t"residence ti!e in t#e reactor

atc#es of !olecules are re!o)ed fro!at di=erent locations along t#e react

!anner as to du'icate t#e RD functio  #e !olecules re!o)ed near t#e ent

reactor corres'ond to t#ose !oleculesresidence ti!es in t#e reactor

SegregationModel

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 67/109

Segregation Model

•  #e reaction ti!e in any one of t#ese tireactors is eual to t#e ti!e t#at t#e 'aglobule s'ends in t#e reaction en)iron!

•  #e distribution of residence ti!es a!oglobules is gi)en by t#e RD of t#e 'art

SegregationModel

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 68/109

Segregation Model

SegregationModel

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 69/109

Segregation Model

For a batch reactor:

For constant volume and with

Segregation Model

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 70/109

Segegato ode

 #us if ,e #a)e t#e RD t#e reaction

rate e*'ressiont#en for a segregared

@o, situarion %i. e. !odel& ,e #a)e

suFcient infor!ation to calculate t#e

con)ersion

"onsider t#e follo,ing Frst(orderreaction

For cons

Segregation Model

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 71/109

g g

-ol)ing for Y %t&

• :ain con)ersion for a Frst(order rea

Example 13-5:

MeanConversionCalculationsina

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 72/109

Mean Conversion Calculations in a

Reactor

"alculate t#e !ean con)ersion in t#e reactor ,e #

c#aracteri+ed by RD !easure!ents n $*a!'les

for a Frst(order liuid('#ase rre)ersible reaction

co!'letely segregated @uid

 #e s'eciFc reaction rate is 0'+ !inG.

Solution 13-5

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 73/109

Solution 13-5

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 74/109

Slti 135

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 75/109

Solution 13-5

Slti 135

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 76/109

Solution 13-5

Maximum Mixedness Mod

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 77/109

 #e reactor e*it is of course t#e latest 'ossible '

!i*ing can occur and any e=ect of !i*ing is 'ost

after all reaction #as taen 'lace as s#o,n in igur

can also t#in of co!'letely segregated @o, as be

of !ini!u! !i*edness.

Oe no, ,ant to consider t#e ot#er e*tre!e t#at

!i*edness consistent ,it# a gi)en residence(ti!e

Oe return again to t#e 'lug(@o, reactor ,it# sid

entrances only t#is ti!e t#e @uid enters t#e rea

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 78/109

y

its lengt# %igure 13(24&. As soon as t#e @uid en

reactor it is co!'letely !i*ed radially %but not

longitudinally& ,it# t#e ot#er @uid already in t#e

 #e entering @uid is fed into t#e reactor t#roug#

entrances in suc# a !anner t#at t#e RD of t#e '

reactor ,it# side entrances is identical to t#e R

real reactor

n a reactor ,it# side entrances let Z be t#e ti!e i

t#e @uid to !o)e fro! a 'articular 'oint to t#e end

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 79/109

reactor. ln ot#er ,ords Z is t#e life e*'ectancy of t

t#e reactor at t#at 'oint %igure 13(2L&.

"onsider t#e @uid t#at enters t#e reactor t#

sides of )olu!e [V in igure 13(2L. #e @ui

enters #ere ,ill #a)e a life e*'ectancy bet,

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 80/109

enters #ere ,ill #a)e a life e*'ectancy bet,

ZI[ Z. #e fraction of fluid t#at ,ill #a)e t#

e*'ectancy bet,een t#e 'roduct of t#e tota

)olu!etric @o, rate )o and t#e fraction of

t#at #as life e*'ectancy bet,een Z and ZI

 [Z. #at is t#e )olu!etric rate of fluid ente

t#roug# t#e sides of )olu!e [Z is )o $%Z& [

 #e )olu!etric flo, rate at Z. VZ is t#e flo, rate t

at ZI[Z VZI[Z 'lus ,#at entered t#roug# t#e sid

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 81/109

at ZI[Z VZI[Z 'lus ,#at entered t#roug# t#e sid

 [Z i.e.

 #e )olu!etric Ro, rate Vo at t#e entrance to t#e

%Y 0& is +ero because t#e @uid only enters t#roug

along t#e lengt#.

ntegrating euation %13(L7& ,it# li!its VZ 0 at

)Z )Z at Z Z ,e obtain

 

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 82/109

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 83/109

 #e boundary condition is as # I 03 t#en "A "$uation %13(62& Wor Y 0 for $uation %1 3(64&X.

 o obtain a solution t#e euation is integrated ba

nu!erically starting at a )ery large )alue of Z an

,it# t#e final con)ersion at Z 0. or a gi)en R

reaction orders greater t#an one t#e !a*i!u! !

!odel gi)es t#e lo,er bound on con)ersion.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 84/109

Comparing  X  seg  and  X mm

 

Comparing  X  seg  and  X mm

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 85/109

  X  seg  is con)ersion 'redicted by segregation !odel

  X mm is con)ersion 'redicted ,it# !a*i!u! !i*edn

Di=erence of  X  seg  and  X mm is signiFcant no !atter #o,

    0.\\ is desire suc# as in to*ic ,aste destruct

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 86/109

Using Software

Packages

13.M

Solving a Problem using O

Sft P k

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 87/109

Software Packages

itting t#e$%t& "ur)e

to

Polyno!ial

-egregation:odel

:

Solving a Problem using ODE Sol

FittingtheE(t)CurvetoPoly

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 88/109

Fitting the E(t) Curve to Poly

inding !ean con)ersion %& by integrating bet,een t 0 and t .

?btaining !ole balance on Y%t& fro! batc# reactor

Orite t#e rate la, in ter!s of con)ersion

 

Solving a Problem using ODE Sol

FittingtheE(t)CurvetoPoly

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 89/109

Fitting the E(t) Curve to Poly

-'ecify $%t& and %t&.

"o!bine di=erential euation of Y $%t& and %t& euations and in'

-ol)er.

 

Solving a Problem using ODE Sol

FittingtheE(t)CurvetoPoly

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 90/109

Fitting the E(t) Curve to Poly

Do $1%t& and $2%t& 'olyno!ial trial and see if it !atc#es t#e cur)e a

-ee if $2%t& negati)e use I state!ents in t#e Ftting 'rogra!.

"#ec t#e area under $%t& cur)e. t !ust be )irtually one and t#e c

distribution %t& at long ti!es is ne)er greater t#an 1.

Solving a Problem using O

Sl S ti M d

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 91/109

Solver:Segregation Mod

-ol)e t#e euation using ?D$ -ol)er to get t#e !ean of e*it con)et#e con)ersion at any ti!e.

 

Solving a Problem using ODE Solver:Maximum Mixedness

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 92/109

f t#e soft,are 'acages ,on]t integrate bac,ardc#ange t#e )ariable suc# t#at t#e integration 'roc

as decreases fro! so!e large )alue to +ero.

or! a ne, )ariable -

^ is t#e di=erence bet,een t#e longest ti!e !easurecur)e and .

 

Solving a Problem using ODE

Solver:Maximum Mixedness

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 93/109

t is no, integrates bet,een t#e li!it -   ? and -   200 tocon)ersion at -   200 ,#ic# corres'onds to 0.

-ee if t#e 'olyno!ial and !ae sure t#at it does not beco!

large ti!es.

:ae sure in t#e !a*i!u! !i*edness calculations is t#at

not go to +ero.

f so setting t#e !a*i!u! )alue of %t& at 0.\\\ rat#er t#an 1

ntegrate t#e 'olyno!ial for $%t& to get %t& and t#en setting t#of %& at 0.\\\.

f %t& is e)er greater t#an one ,#en Ftting a 'olyno!ial t#

blo, u' ,#en integrating t#e last euation nu!ericay.

 

13.8.1 Heat Effects

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 94/109

Pendeatan ini #anya aan berlau untu reasi falau aliran )olu!etri teta' onstan.

Untu o'erasi adiabati dan ["'0

Eau reasi s'esiFnya

Dengan asu!si ba#,a $ %r& tida di'engaru#i ole#

di reator

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 95/109

RTD and Multiple

Reactions

13.5

13.9.1Segregation Mode

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 96/109

Dala! !odel 'e!isa#an ita !e!'erti!basetia' BglobulesC di reator untu !e!ilii

yang berbeda dari reatan %"A& dan 'rodu

Untu reator batc# onstan )olu!enya di

sedang berlangsung 'ersa!aan esei!b

!olnya adala#

• Persa!aan('ersa!aan ini diselesaian secara sidengan 'ersa!aan di ba,a# ini u ntu !eng#a t i #i

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 97/109

13.9.2 Maximum Mixedness

Untu !eng#itung !a*i!u! !i*edness digunaan ru!us

onsentrasi a#ir

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 98/109

Perbandingan Reaktor

Batch dan Kontinyu

andsame

co

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 99/109

A"

a single- or multi-stage process in which a certainquantity of inputs (raw materials, auxiliary

materials, energy, etc.) are fed into the chemicalreaction unit (of the entire reaction) under

conditions suitable for obtaining the desiredreaction (temperature, pressure, required time,

etc.)

CONTINUOUSco

extraout

(produ

pr

energ

in a dsta

contro

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 100/109

A"

In the batch process, in the reactor and at any

given period of time, various actions take place in

the wake of which a concentration of reactants and

products varies so long as the reaction progresses.

 At the conclusion of the process the mixture is

removed from the reactor and it then undergoes the

appropriate separation and processing stages

(either physical or chemical) at the required level ofcleanliness.

CONTINUOUScontro

prd

main

concen

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 101/109

A"

In the batch process, the shift from one stage to the

next is carried out in series and so the overall time

of the process is, in fact, the sum of the times

required for the various stages, and it is relatively

extensive.

In contrast, the required volume of the tanks for a

specific batch process is greater than that requiredfor a parallel continuous process.

CONTINUOUS

In theprocess, al

are

sim

(although

different

system)

overall tim

for th

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 102/109

A"

In general terms, a batch installation requiresmore manpower while a continuous installation

requires greater computerized and automatedcontrol. Experience shows us that over time, an

initial investment in control is more feasible thatthe high day-to-day costs of manpower.

CONTINUOUS

*atch rocess ,o y'es of!aterials

"an be used ,it# all ty'esof !aterials %,it# non(@o,

$asier@o,in

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 103/109

!aterials !aterials it is easier touse t#e batc# 'rocess&.

%today!ater'roduccontinin)estdecisi)

nstallationsi+e

Relati)ely largeinstallations. Very bigin)est!ent in land andinstallations.

Relati)install-igniFland a

Reactor "#anges occur in t#econcentrations of!aterials o)er ti!e.

At all lconditconsta%durab

eeding ra,!aterials

Ra, !aterials are fedbefore t#e start of t#ereaction.

"onstara, !t#e en

*atch rocess ,on

" t l f t#

-i!'le control. t is easier tocontrol reaction conditions%' 'ressure te!'erature&

"o!'leAuto!abe used

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 104/109

"ontrol of t#eset of actions

in t#e syste!

%' 'ressure te!'erature&.:anual control can also bedone.

be usedreactor !ore d

!ust bet#e rate!ateria

Product%s&

$*traction of !aterials onlyafter all t#e actions areFnis#ed ,it# t#e conclusionof t#e reaction.

"ontinu'roductduring t

 roubles#ooting

A fault or dealing ,it# a

batc# reuiring Bre'airC doesnot cause 'roble!s in t#eot#er stages. A''ro'riatetests are conducted aftereac# stage.

 #e ins

interconfault in sto''agot#ers. been dabe re'asa!e ,conditio

*atch rocess ,o

uantities'roduced

Preferable ,#en'roduction of s!alluantities of a s'eciFc

Preferascale '

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 105/109

'roduced uantities of a s'eciFc!aterial are 'lanned.

Variety of'roducts int#e 'lant

Preferable ,#en t#e 'lant

'roduces a ,ide )ariety of!aterials and ,#en t#e'roduct is liely to bec#anged no, and again,#ile using t#e sa!ereactor.

Prefera

and 'e'roduc

Productde)elo'!e

nt stage

Preferable ,#en t#e

'rocess is relati)ely ne,and still unfa!iliar. n t#iscase t#e initial in)est!entis in a s!aller batc#reactor and t#us t#eecono!ic ris is s!aller.

Prefera

conclusstages and ecfeasibil

In both methods:

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 106/109

Recycling of ra, !aterials according to econo!ic be carried out.

Reuired 'roduct uality can be attained in accordcusto!er reuire!ents and econo!ic feasibility.

?'ti!al e5ciency can be attained according to re

conditions and econo!ic feasibility.

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 107/109

Perbedaan t dan

t a

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 108/109

t

t merupakan lama waktu yang ditentukan sebagaibasis dalam berbagai konteks perhitungan atau

persamaan.

   a

meru

lama

tingga

m

r

8/17/2019 PR 1-Bioreaktor-Ulina Ayu Pangesti

http://slidepdf.com/reader/full/pr-1-bioreaktor-ulina-ayu-pangesti 109/109

THANK