escalamiento en biorreactores

8
3. AGITATION OF BIOREACTOR SYSTEMS

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3.

AG

ITA

TIO

NO

FB

IOR

EA

CTO

RS

YS

TEM

S

●F

ig.

3.1

sh

ow

s t

he

dim

en

sio

ns

of

wh

at

is c

alle

da

“s

tan

da

rd” s

tirr

ed

ta

nk

bio

rea

cto

r v

es

se

lw

ith

B

aff

les.

FIG

.3.1

.S

tan

dard

Sti

rred

Tan

kB

iore

acto

r G

eom

etr

y[A

dop

ted

from

S.

Aib

a,

A.E

.H

um

ph

rey

an

dN

.F.

Millis.

“B

ub

ble

Aerati

on

an

dM

ech

an

icalA

git

ati

on

”.

In B

ioch

em

icalEn

gin

eeri

ng

,2

nd

Ed

.,A

cad

em

ic

Ge

om

etr

icR

atio

s f

or

a S

tand

ard

Bio

rea

cto

r

Ve

sse

lIm

peller

Di/D

tH

L/D

tL

i/Di

Wi/D

iH

b/D

iW

b/D

tN

o.

Baff

les

Typ

e

Fla

t-B

lad

e0.3

31

.00

.25

0.2

1.0

0.1

4

Tu

rbin

e

Pad

dle

0.

33

1.0

-0

.25

1.0

0.1

4

imp

eller

Mari

ne

0.3

31.0

pit

ch

=D

i1.0

0.1

4

Pro

peller

Wh

ere:

Dt=

tan

kd

iam

ete

r,

HL=

liq

uid

heig

ht

Di=

imp

eller

dia

mete

r

Hb=

im

peller

dis

tan

ce

from

bott

om

of

vessel

FIG

. 3.2

A.

Dif

fere

nt

Imp

eller

Typ

es.

(a)

Mari

ne-t

yp

ep

rop

ellers

;(b

)Fla

t-b

lad

etu

rbin

e,

Wi=

Di/5.

© D

isk f

lat-

bla

de

turb

ine,

Wi=

Di/5,

Di=

2D

t/3,

Li=

Di/4;

(d)

Cu

rved

-

bla

de

turb

ine,

Wi=

Di/3;

(e)

Pit

ch

ed

-bla

de

turb

ine,

Wi=

Di/8;

FIG

.3.2

B.

Mix

ing

Patt

ern

sfo

r Fla

t-B

lad

eTu

rbin

e I

mp

eller.

Eff

ect

of

Baff

les.

Liq

uid

ag

itati

on

in

pre

sen

ce o

fa

gas-l

iqu

idin

terf

ace,

wit

h

an

dw

ith

ou

tw

ail

baff

les:

(a)

Mari

ne im

peller

an

d(b

)D

isk

flat-

bla

de

turb

ines;

(c)

infu

llvessels

wit

hou

ta

gas-l

iqu

idin

terf

ace (

con

tin

uou

sfl

ow

)an

dw

ith

ou

t b

aff

les.

3.1

Mix

ing

an

d P

ow

er

Req

uir

em

en

tsfo

r N

ew

ton

ian

Flu

ids

ina

Sti

rred

Tan

k

FIG

.3.3

NP

vs.

NR

e;

the

pow

er

ch

ara

cte

risti

cs

are

sh

ow

nb

yth

ep

ow

er

nu

mb

er,

NP,

an

dth

em

od

ifie

dR

eyn

old

sn

um

ber,

NR

e,

of

sin

gle

imp

ellers

on

ash

aft

.[A

dop

ted

from

S.

Aib

a,

A.E

.H

um

ph

rey

an

dN

.F.

Millis.

“B

ub

ble

Aerati

on

an

dM

ech

an

icalA

git

ati

on

”.

In B

ioch

em

ical

En

gin

eeri

ng

,2n

dEd

.,A

cad

em

icP

ress,

Inc.,

New

York

(1973)

174].

Fig

.3.3

sh

ow

sre

lati

on

sh

ipb

etw

een

NPan

d

NRe

at

thre

ed

iffe

ren

tfl

ow

reg

imes:

●Lam

inar

●Tra

nsie

nt

●Fu

lly

Tu

rbu

len

t

for

thre

e d

iffe

ren

t im

peller

typ

es:

●S

ix-b

lad

ed

flat

bla

de t

urb

ine

●P

ad

dle

imp

eller

●M

ari

ne

Pro

peller

Th

e p

ow

er

nu

mb

er

isg

iven

by

Eq

u.

3.1

NP=

Pg

c/n

3 Di5 ρ

……

……

……

……

…(3

.1)

Th

eim

peller

Reyn

old

s

nu

mb

er

is g

iven

by

Eq

u.

3.2

NRe

= n

Di2 ρ

/µ…

……

……

....

....

....

....

..(3

.2)

Wh

ere

:N

=d

imen

sio

nle

ss

Reyn

old

s