bioreactor design - nuristianah.lecture.ub.ac.id · teknologi bioproses . a continuous stirred-tank...
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Bioreactor Design Nur Istianah, ST.,MT.,M.Eng
TEKNOLOGI BIOPROSES
A continuous
stirred-tank reactor
(CSTR) is an ideal
reactor which is
based on the
assumption that
the reactants are
well mixed. Continuous
operation with
stirring
F, Cs0
F, Cs
V
Nur Istianah-THP-FTP-UB-2017
-3. Continuous stirred-tank
dt
dXVVrXXF x )( 0
F, Cs0
F, Cs
V
onAccumulati GOutput -Input eneration
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the ratio of biomass
rate of generation to
biomass
concentration, rx/X,
that is the specific
growth rate; μ X
rx
D
0dt
dX s
Steady state:
DV
F
1
00 XNo cell in
inlet:
D
XDX
rXXV
Fx
.
)( 0
-3. Continuous stirred-tank – cont.
Monod rate: ss
s
CK
C
max
ss
s
CK
CD
max
D
DKC s
s
max
maxmax
111
s
s
C
K
D
Chemostat:
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At steady state, substrate utilisation is balanced with a rate
equation:
VCK
CCCF
ss
s
ss
max
0 )(
XCK
CCCD
ss
s
ss
max
0 )(
CsCs
XXY
0
0
D
DKCYXX s
s
max
00
Case study
• Contoh soal 4:
• Kinetika Monod (Ks = 3 g/L) telah
dipertimbangkan dalam operasi CSTR untuk
memproduksi yeast dengan konsentrasi awal 50
g/L. Jika laju pertumbuhan yeast maksimal
sebesar 0.5 jam-1, berapakah laju dilusi
fermentasi untuk konversi reaksi sebesar 90% ?
asumsikan tidak ada yeast di awal fermentasi.
Solution
Cs = (1-XA)Cs0 = (1-0.9)( 50 g/L) = 5 g/L
1
1
max
3125.0
g/L5g/L3
g/L55.0
jamD
xjamD
CsK
CsD
s
Case study
• Contoh soal 5:
• Hitunglah laju dilusi dari contoh soal 4 jika
terdapat konsentrasi yeast di awal dan akhir
fermentasi sebesar 0.1 g/L dan 35 g/L!
Solution
• Pada kondisi ini berlaku persamaan berikut:
X
rx
xrXXD )( 0SK
S
s max
)(
)(
0
0
XX
XD
XX
rD x
1
0
max
3134.01.035
)35(3125.0
)(
jamD
XX
XSK
S
D s
Case study
• Contoh soal 6:
• Berapakah yield fermentor pada contoh soal 5?
–Solution:
%56.777756.0550
1.035
0
0
Y
SS
XXY
Solution
• Pada kondisi ini berlaku persamaan berikut:
X
rx
xrXXD )( 0SK
S
s max
)(
)(
0
0
XX
XD
XX
rD x
1
0
max
3134.01.035
)35(3125.0
)(
jamD
XX
XSK
S
D s
Case study 7 • A chemostat study was performed with east. The
medium flow rate was varied and the steady state
concentration of cells and glucose in ther fermenter were
measured and recorded. The inlet concentration of
glucose was set at 100 g/L. The volume of the fermenter
contents was 500 mL. the inlet stream was sterile.
• Find the rate equation of cell growth
Flow rate
F, mL/ hr
Cell concentration
Cx, g/ L
Substrate concentration
Cs, g/ L
31 5.97 0.5
50 5.94 1.0
71 5.88 2.0
91 5.76 4.0
200 0 100
Solution
• Pada kondisi ini berlaku persamaan berikut:
maxmax
111
s
s
C
K
DChemostat:
1/D = V/F 1/ Cs
16.13 2.00 10.00 1.00 7.04 0.50 5.49 0.25 2.50 0.01
y = 3.1764x + 1.2959 R² = 0.9407
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
16.00
18.00
0.01 0.25 0.50 1.00 2.00
78.0
13.1
max
max
46.2
2.3max
Ks
Ks
Persamaan laju reaksi
s
s
ss
s
C
XCr
CK
XCr
Xr
46.2
78.0
max
THANKS FOR YOUR ATTENTION
The best person is one give something useful always
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