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Conversion of municipal solid waste to carboxylic acidsusing a mixed culture of mesophilic microorganisms
Cateryna Aiello-Mazzarri a, Frank K. Agbogbo b, Mark T. Holtzapple b,*
a Universidad del Zulia, Facultad de Ingeniera, Coordinacion de Ciclo Basico, Departamento de Qumica, Maracaibo, Venezuelab Texas A&M University, Department of Chemical Engineering, College Station, TX 77840-3122, USA
Received 22 October 2004; received in revised form 10 February 2005; accepted 11 February 2005
Available online 12 April 2005
Abstract
Waste biomass was anaerobically converted to carboxylate salts by using a mixed culture of acid-forming microorganisms. Muni-
cipal solid waste (MSW) was the energy source (carbohydrates) and sewage sludge (SS) was the nutrient source (minerals, metals,
and vitamins). Four fermentors were arranged in series and solids and liquids were transferred countercurrently in opposite direc-
tions, which allows both high conversions and high product concentrations. Fresh biomass was added to Fermentor 1 (highest car-
boxylic acid concentration) and fresh media was added to Fermentor 4 (most digested biomass). All fermentations were performed
at 40 C. Calcium carbonate was added to the fermentors to neutralize the acids to their corresponding carboxylate salts. Iodoform
was used to inhibit methane production and urea was added as a nitrogen source. Product concentrations were up to 25 g/L, with
productivities up to 1.4 g total acid/(L liquid d). Mass balances with closure between 93% and 105% were obtained for all systems.
Continuum particle distribution modeling (CPDM) was applied to correlate batch fermentation data to countercurrent fermentation
data and predict product concentration over a wide range of solids loading rates and residence times. CPDM for lime-treated MSW/
SS fermentation system predicted the experimental total acid concentration and conversion within 4% and 16% respectively.
2005 Published by Elsevier Ltd.
Keywords: MixAlco process; Municipal solid waste; Sewage sludge; Fermentation; Carboxylic acids; Mixed acids
1. Introduction
Many energy experts are concerned about the deple-
tion of petroleum, the main source of liquid fuels and
many chemicals. Oil prices are volatile and supplies
are unstable. Oil combustion releases carbon dioxide,
the most important greenhouse gas implicated in globalwarming (Sterzinger, 1995; Klass, 1998). In contrast,
biomass is a source of liquid fuels that does not result
in a net increase of carbon dioxide in the atmosphere
(Holtzapple et al., 1997; Hileman, 1999) because bio-
mass growth removes from the atmosphere the same
amount of carbon dioxide that biomass combustion
generates (Bungay, 1981; Sterzinger, 1995).
Another environmental problem is the generation
and accumulation of the following wastes: Municipal
solid waste (MSW)in the United States (US), ap-
proximately 220 million tons of MSW were generated
in 1998, four million tons more than in 1997 (EPA,1998). Municipal solid waste contains about 65% biode-
gradable components, such as paper, food scraps, and
yard waste (EPA, 1998). For the purpose of this
research, we will refer to MSW as the biodegradable
organic fraction, which excludes glass, metal, plastic,
ceramic, rock, or soil also found in MSW. Sewage
sludge (SS)SS is the residual solids from conventional
aerobic or anaerobic sewage treatment. The Environ-
mental Protection Agency (EPA, 1999) estimated that
0960-8524/$ - see front matter 2005 Published by Elsevier Ltd.
doi:10.1016/j.biortech.2005.02.020
* Corresponding author. Tel.: +1 979 845 9708; fax: +1 979 845 6446.
E-mail addresses: [email protected] (C. Aiello-Mazzarri), m-holtzapple@
tamu.edu (M.T. Holtzapple).
Bioresource Technology 97 (2006) 4756
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apple et al., 1992). The components of MSW were col-
lected (Bryan, College Station, TX), sun-dried, ground
and passed through a 10-mm screen in a hammer mill
(Forest Science Research Laboratory, Texas A&M Uni-
versity). Once combined, the MSW was ground and
passed through a 6-mm screen to ensure a uniform mix-
ture. Fats and oils were not added to the MSW to pre-vent spoiling during storage.
2.2.2. Sewage sludge
Aerobically treated sewage sludge was obtained from
Bryan Wastewater Treatment Plant Number 3 (Bryan,
TX). The sewage had undergone activated sludge treat-
ment in which the incoming sewage stream was sent to
an aeration basin for approximately 15 d. After leav-
ing the aeration basin, the sludge was digested aero-
bically for approximately 40 d. Upon removal from
the digestor, the sludge was coagulated, dried for 10 d,
and ground in a hammer mill fitted with a 3-mm screen.
2.3. Lime treatment
The components of lignocellulose are complex and
include solubles, cellulose, hemicellulose, lignin, and
ash. As biomass digests, the remaining fraction is less
reactive (Gizjen et al., 1988), which is logical considering
that biomass is heterogeneous; some components are
highly digestible whereas others are almost inert. To
enhance digestibility, lime treatment was performed at
100 C for 1 h with loadings of 0.1 g Ca(OH)2/g dry bio-
mass and 10 mL of distilled water/g dry biomass. After
treatment, CO2 was bubbled through the biomass slurryto neutralize the lime and the slurry was dried at 105 C.
Detailed procedures of the lime treatment are available
in Aiello-Mazzarri (2002).
2.4. Media and nutrients
The fermentation media consisted of deoxygenated
distilled water, 0.28 g sodium sulfide/L distilled water,
and 0.28 g cysteine hydrochloride/L distilled water.
Dry nutrients were added to the fermentations. The
dry nutrient mixture used in all the experiments corre-
sponds to the modified Caldwell and Bryant medium
(Caldwell and Bryant, 1966).
2.5. Inocula
Rumen fluid was used as the main inoculum. Rumen
contents were removed from a fistulated steer (Univer-
sity Nutrition and Field Laboratory, Texas A&M Uni-
versity), filtered through four layers of cheesecloth into
1-L propylene centrifuge bottles, transported to the lab-
oratory, and inoculated (5% v/v) into each fermentor
within 1 h after collection to ensure microorganism via-
bility. Other sources of microorganisms included swamp
material from Bee Creek Park (College Station, TX),
and compost material from domestic and commercial
piles. The compost samples were taken from the middle
of the pile to ensure a large quantity of anaerobic micro-
organisms. To minimize exposure to oxygen, the swamp
material and compost were collected into bottles filled
with deoxygenated distilled water.
2.6. Methanogens inhibitor
Iodoform (CHI3) was used as a methanogen inhibitor
in all fermentations. An iodoform solution (20 g CHI3/L
ethanol) was added individually to each reactor contin-
uously throughout the fermentations. Iodoform is light
and air sensitive, so the solution was kept in amber-
colored glass bottles and special care was taken to
replace the cap immediately after use.
2.7. Batch experiments
Batch experiments were performed to determine
experimental reproducibility, and to collect the neces-
sary data for continuum particle distribution modeling
(CPDM). These data were used to develop a model rate
equation for the countercurrent fermentation. The pro-
cedure involved operating five different fermentors with
different initial substrate concentrations (20, 40, 70,
100 g dry substrate/L liquid). An additional fermentor
with high substrate concentration (100 g dry substrate/
L liquid) and high carboxylic acid concentration
(approximately 20 g carboxylic acids/L liquid) was eval-
uated. Samples were taken by removing the fermentorfrom the incubator, collecting the gas, removing the
stopper, purging with nitrogen, measuring pH, centri-
fuging for 10 min, collecting a liquid sample under nitro-
gen purge, resealing the fermentor, and placing it back
in the roller apparatus. For the CPDM experiments,
the resulting carboxylic acid concentrations were con-
verted into acetic acid equivalents to be used in the
modeling equations developed by Loescher (1996).
The batch carboxylic acid concentrations can be con-
verted to acetic acid equivalents (a)
a mol=L acetic mol=L
1:75 propionic mol=L
2:5 butyric mol=L
3:25 valeric mol=L
4:0 caprioc mol=L
4:75 heptanoic mol=L 1
On mass basis, the acetic acid equivalent can be ex-
pressed as
Ae g=L 60:05 g=mol a mol=L 2
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2.8. Countercurrent fermentations
In countercurrent operation, liquid and solids flow in
opposite directions in four-fermentor trains. In the labo-
ratory scale, the fermentors operate in a semi-continuous
manner, whereas on an industrial scale, the fermentation
would be continuous. Countercurrent fermentations wereinitiated as batch cultures under anaerobic conditions by
adding the substrates, calcium carbonate, urea, nutrients,
and inocula to deoxygenated water media in each fer-
mentor. The experiments were conducted as batch fer-
mentations until the culture was established (710 d).
Countercurrent operation was initiated with the transfer
of liquid and solids occurring every 1, 2, or 3 d. Counter-
current fermentations were conducted at varying liquid
residence times (LRT) and volatile solid loading rate
(VSLR). The operating parameters for each fermentation
with lime-treated MSW/SS are shown in Table 1.
2.9. Reaction conditions
The fermentations were performed under anaerobic
conditions at 40 C. Every 3 d, after each liquid/solid
transfer, 2.0 g calcium carbonate was added to each fer-
mentor to neutralize carboxylic acids. To maintain
anaerobic conditions, nitrogen from a high-pressure
liquid-nitrogen cylinder (Praxair, Bryan, TX) was flushed
whenever the fermentors were open to the atmosphere.
The solid and liquid transfer procedures are detailed in
Aiello-Mazzarri (2002).
2.10. Analytical methods
The fermentor broth was analyzed by gas chromatog-
raphy to measure the concentration of carboxylic acids.
The broth was mixed with equal parts of an internal
standard (4-methyl-n-valeric acid) and 3-M H3PO4.
The analysis was performed using an Agilent 6890 series
gas chromatograph (Agilent Technologies, Palo Alto,
CA) equipped with a flame ionization detector (FID)
and a 7683 series injector. A 30-m fused-silica capillary
column (J&W Scientific, Model # 123-3232 CX, AgilentTechnologies, CA) was used. The column head pressure
was maintained between 90 and 103 kPa (1315 psig).
At every sample injection, the gas chromatograph tem-
perature program allowed the temperature to rise from
50 C to 200 C at a 20 C/min rate. The temperature
was subsequently held at 200 C for 10 min. Helium
was used as carrier gas, and the total run time per sam-
ple was 17 min. The fermentation broth consists of a
mixture of carboxylate salts and carboxylic acids. This
analytical procedure converts all salts to their corre-
sponding acids, allowing product concentrations to be
reported as g carboxylic acid/L.
Gases produced during fermentation were accumu-
lated within the reactor. Every sampling day, the volume
of gas produced since the last transfer session was mea-
sured. The volume was measured by displacing water in
an inverted glass graduated cylinder apparatus that was
filled with 30% CaCl2 solution. The CaCl2 minimized
microbial growth in the water tank, and reduced water
evaporation. The CaCl2 solution had an acidic pH
(5.6), which prevented CO2 adsorption. To check meth-
anogen inhibition, every 2 or 3 d the gas from the
fermentation was analyzed for CH4 by gas chromatog-
raphy. A 5-mL sample was taken through the reactor
septum and analyzed using an Agilent 6890 series gaschromatograph. The chromatograph was equipped with
a thermal conductivity detector (TCD). A 4.6-m stain-
less steel packed column with 2.1-mm ID (60/80 Carbo-
xen 1000, Supelco 1-2390 U, Agilent Technologies,
CA) was used. Samples were injected manually. The
inlet temperature was fixed at 230 C, and the detector
temperature was set at 250 C. The oven temperature
was maintained at 225 C for 5 min. Helium was used
as carrier gas. The total elution time for a sample was
5 min.
Volatile solids in the initial substrates and solid fer-
mentation residues were determined by first drying the
material at 105 C and then ashing the material at
550 C for at least 3 h. Volatile solid determination
in the liquid fermentation broth followed the same
heating procedure above; except prior to drying, the
liquid was mixed with lime to ensure that the carbox-
ylic acids would not volatize and alter the measure-
ment.
2.11. Mass balance
For all the countercurrent fermentation experiments,
a complete mass balance was obtained on the entire
Table 1
Operating parameters for lime-treated MSW/SS countercurrent
fermentations
Fermentation trains A B C D E
LRT (d) 20.7 19.0 22.7 20.7 17.0
VSLR (g VS/(L liquid in
all fermentors d))
3.0 4.0 8.1 3.1 6.4
VS feed at each
transfer (g VS)
11.6 19.3 24.1 11.6 15.4
Solid feed at each
transfer (g dry)
14.4 24.0 30.0 14.4 19.2
Liquid feed to F4 at
each transfer (L)
0.15 0.20 0.10 0.15 0.10
Frequency of transfer Every 3 d
Iodoform addition rate
(mg iodoform added/L
liquid fed to F4)
5.33 8 8 5.33 8
Nutrients addition rate
(g dry nutrients added/L
liquid fed to F4)
1.33 1.00 2.00 1.33 2.00
Urea addition rate
(g urea added/L
liquid feed to F4)
1.0 0.75 1.5 1.0 1.5
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train during a steady-state period. Closure is defined as
follows:
closure mass out
mass in water of hydrolysis3
To calculate the water of hydrolysis, it was assumed that
the biomass could be represented as cellulose, which has
a monomer weight of 162 g/mol. When cellulose is
hydrolyzed, it gains one molecule of water per mono-
mer; therefore, the water of hydrolysis is calculated as
water of hydrolysis VS digested 18162 5
2.12. Operational parameters
The liquid residence time determines how long the
liquid remains in the system, which affects the final prod-
uct concentration. Long liquid residence times allow
high product concentrations whereas shorter liquid
residence times allow lower product concentrations
(Holtzapple et al., 1999). Liquid residence time is calcu-
lated as
liquid residence time LRT TLVQ
6
where, Q = flowrate of liquid out of the fermentor set
(L/d), TLV = total liquid volume.
TLV X
i
Ki w Fi 7
where, Ki average wet mass of solid cake in Fermentori g; w = average liquid fraction of solid cake inFermentor i (L liquid/g wet cake); Fi averagevolume of free liquid in Fermentor i L.
The volatile solids loading rate is calculated as
volatile solids loading rate VSLR VS fed=dTLV
8
At a low VSLR, the solid residence time increases,
allowing for more complete digestion.
Biomass is composed of volatile solids (VS) and ash,
and except for the lignin most VS are reactive. The
digestion process converts part of the VS into gas and
liquid products, with some solids remaining undigested.
In the liquid products, VS consist of carboxylic acids,
extracellular proteins and energy-storage polysaccha-
rides (Ross, 1998). The following terms are used
throughout this paper.
conversion x VS digested
VS fed9
yield y total carboxylic acids produced
VS fed10
total acid selectivity s
total carboxylic acids produced
VS digested11
total acid productivity p
total carboxylic acids produced
L liquid in all reactors time12
2.13. Statistical analyses
The statistical analyses were performed using Excel
software. Analysis of variance for fermentations A and
D were performed using the student t-test at 5% level
of significance. The mean and standard deviations of
the total acid concentrations for fermentations A and
D were determined from the steady-state operational
data from days 126 to 257. Correlations between volatile
solid loading rate (VSLR) and acid productivity (p),
selectivity (s), yield (y), and conversion (x) were ob-
tained by fitting experimental results to linear equations
using Excel software.
3. Results and discussion
3.1. Batch reproducibility
For the following experiments, simulated MSW and
SS were combined in an 80:20 ratio. To determine the
reproducibility of MSW/SS batch experiments, two sets
of three fermentors were operated simultaneously under
identical conditions. Untreated MSW/SS was used as
the substrate for one set, whereas lime-treated MSW/
SS was used for the other. The fermentors contained
the substrate at a concentration of 100 g dry substrate/
L liquid. So that the microorganisms would already be
adapted to the substrate, the inoculum used in these
experiments was inocula from countercurrent experi-
ments with the same substrate.
The initial pH for all fermentations was approximately
6.5. During the fermentations, the pH varied from 5.4 to
6.5. The off-gas was analyzed for methane every other
day, but no methane was found. The combination of
closure undigested VS dissolved VS carboxylic acids produced biotic CO2 CH4
mass in water of hydrolysis4
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low pH and iodoform addition effectively inhibited meth-
anogenesis. Average total carboxylic acids concentra-
tions for the untreated and lime-treated MSW/SS are
shown in Fig. 3 along with one-standard-deviation errors
bars. The variation was less as the beginning and
increases as the fermentation progresses. The largest
standard deviation was 0.46 g/L untreated MSW/SS
and 0.62 g/L for treated MSW/SS. This experiment dem-
onstrated that batch experiments using lime-treated or
untreated simulated MSW/SS as substrate system were
very reproducible.
3.2. Countercurrent fermentations
The results from the lime-treated countercurrent fer-
mentations are shown in Table 2. Fermentations A and
D were initiated using the same substrate (80% lime-
treated MSW/20% SS) and the same inocula mixture.
Both fermentations were started on the same day and
were operated identically to determine the reproducibil-
ity of the countercurrent fermentations.
In Fig. 4, the total carboxylic acid concentration as a
function of time during fermentations A and D are pre-
sented. Both fermentations have the same behaviorthrough the operation time (258 d). A t-test was con-
ducted over the steady-state operation (days 126257),
and the results showed that there were no significant
differences between these data set at 5% level of sig-
nificance. The results show excellent reproducibility for
countercurrent fermentations.
Fermentation C had the highest total carboxylic acid
concentration obtained for lime-treated MSW/SS
(26.0 g carboxylic acids/L liquid) which surpassed the
economic goal of 22 g carboxylic acid/L liquid (Holtzap-
ple et al., 1999). This fermentation was operated at pH
5.7, LRT = 22.7 d, and VSLR = 8.1 g VS/(L liquid d)
for 403 d, and also had the highest acid productivity
(1.36 g total acids/(L liquid d)). The conversion was
0.302 g VS digested/g VS fed, the yield was 0.18 g car-
boxylic acid/g VS digested, and the selectivity was
0.577 g VS digested/g VS fed. Fermentation D (pH
5.9, LRT = 20.7 d, and VSLR = 3.1 g VS/(L liquid d))
had the highest conversion (0.449 g VS digested/g VS
fed). The total carboxylic acid productivity was 1.12 g
total acids/(L liquid d), the yield was 0.264 g carboxylic
acid/g VS digested, and the total carboxylic acid produc-
tivity was 0.577 g total acids/(L liquid d).
The correlations between volatile solid loading rate
(VSLR) and acid productivity (p), selectivity (s), yield(y), and conversion (x) are shown in Figs. 58. The re-
sults show that at higher volatile solids loading rates,
higher total acid productivities are obtained. Conver-
sion, selectivity, and yield decrease with increasing
0
2
4
6
8
10
12
14
16
18
0 2 4 6 8 10 12 14 16 18 20
Time (days)
Totalcarb
oxylicacid
concentra
tion
(g/L)
Treated MSW/SS
Untreated MSW/SS
Fig. 3. Average carboxylic acid for untreated MSW/SS and treated
MSW/SS batch fermentations at 100 g substrate/L liquid, error bars 1
standard deviation.
Table 2
Results for lime-treated MSW/SS countercurrent fermentations
Fermentation trains A B C D E
Average pH in all fermentors 5.96 0.15 5.79 0.02 5.68 0.06 5.93 0.20 5.85 0.11
Total carboxyl ic aci d c onc ent ration (g/L) 16. 90 0.77 16.29 1.52 25. 99 1. 46 17.07 0.99 18.62 0. 97
Acetic acid (wt%) 39.57 4.72 40.55 4.30 40.40 3.10 45.06 4.48 43.89 4.40
Propionic acid (wt%) 15.70 3.57 14.18 2.10 14.17 1.40 17.81 2.39 12.24 2.21
Butyric acid (wt%) 23.31 5.00 21.33 3.71 22.15 2.99 18.69 3.63 22.08 3.31
Valeric acid (wt%) 8.04 1.41 7.77 1.44 6.97 0.96 7.35 1.49 7.25 1.01
Caproic acid (wt%) 9.47 2.49 12.33 2.96 11.09 2.54 6.98 2.22 9.35 2.82
Heptanoic acid (wt%) 1.61 0.86 2.64 1.27 1.41 0.74 1.70 1.12 1.45 0.83
Conversion (g VS digested/g VS fed) 0.432 0.366 0.302 0.449 0.392
Yield (g total acids/g VS fed) 0.276 0.221 0.175 0.264 0.237
Selectivity (g total acids/g VS digested) 0.639 0.603 0.577 0.589 0.558
Total carboxylic acid productivity (g total acids/(L liquid d)) 0.832 0.886 1.360 0.829 1.125
Biotic CO2 productivity (g CO2/(L liquid d)) 0.390 0.251 0.372 0.290 ND
Methane productivity (g CH4/(L liquid d)) 0.002 0.001 0.007 0.002 ND
Mass balance closure (g VS digested/g VS in) 0.96 101.9 100.3 0.93 ND
Note: All errors are 1 standard deviation.
ND = not determined.
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VSLR. These correlations are described by the following
equations:
p 0:0965VSLR 0:5317 13
s 0:0090VSLR 0:6274 14
x 0:0263VSLR 0:5037 15
y 0:0178VSLR 0:3086 16
The substrate system, lime-treated MSW/SS, is a hetero-
geneous lignocellulosic material in which some of the
components are more digestible by the microorganisms
(Ross, 1998). MSW is the source of carbon and energy,
and SS is the source of micronutrients. At high VSLR,
more substrate is available for the microorganisms,
which means that more nutrients and easily digested
substrate are present. The mixed culture of microorgan-
isms digested the primarily accessible fraction of the
substrate; however, less carboxylic acids were producedper unit of digested biomass. Part of the digested sub-
strate is non-acid soluble volatile solids (dissolved VS).
When substrate and nutrients are abundantly available,
the microorganisms may produce energy-storage com-
pounds that can be used in periods of starvation as sug-
gested by Domke (1999).
However, at low VSLR, acid productivity was lower,
but conversion, selectivity, and yield were higher. At
lower VSLR, less substrate was added, so fewer nutri-
ents and less easily digestible fractions of the substrate
were available for the microorganisms. As a conse-
quence, the microorganisms not only would consume
the more-available fractions, but also the less-available
fractions of the substrate. In natural environments, such
as rumen, substrate concentrations are low, and there-
fore not enough for the microorganisms to reach maxi-
mum growth rates (Russell and Baldwin, 1979). At these
conditions, per unit of digested biomass, the micro-
organisms may produce more carboxylic acid and less
energy-storage components.
The CPDM method developed by Loescher (1996)
has been used to predict the product acid concentration
and conversions for countercurrent fermentation sys-
tems (Ross, 1998; Domke, 1999; Thanakoses, 2002;
0
5
10
15
20
25
10 30 50 70 90 110 130 150 170 190 210 230 250 270
Time (days)
Totalc
arboxylicacid
concentration(g/L)
Fermentation A
Fermentation D
Steady-state operation
Switch to 4 mg iodoform/L
fed to F4
8 mg iodoform/Lfed to F4
Iodoform/Bromoform
8 mg/L fed to F4
Fig. 4. Total acid concentration for lime-treated MSW/SS fermenta-
tion A and D.
0
0.5
1
1.5
2
0 2 4 6 8 10
VSLR (g VS/(L liquid in all fermentorsd))
Totalacidproductivity
(gtotalacids/g/(Ll
iquidd))
Experimental data
Best Line Fit
Fig. 5. Correlation of total acid productivity with volatile solid
loading rate.
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 2 4 6 8 10
VSLR (g VS/(L liquid in all fermentorsd))
Selectivity
(gtotalacids/gVSdigested)
Experimental data
Best line fit
Fig. 6. Correlation of selectivity with volatile solid loading rate.
0
0.1
0.2
0.3
0.4
0 2 4 6 8 10
VSLR (g VS/(L liquid in all fermentorsd))
Yield
(gtotalacids/gVSfed)
Experimental data
Best line fit
Fig. 7. Correlation of yield with volatile solid loading rate.
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0 2 4 6 8 10
VSLR (g VS/(L liquid in all fermentorsd))
Conversion
(g
VSdigested/gVSfed)
Experimental data
Best line fit
Fig. 8. Correlation of conversion with volatile solid loading rate.
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Chan, 2002; Aiello-Mazzarri, 2002). CPDM utilizes
batch data to predict the results of the countercurrent
fermentations.
The acetic acid equivalents (Ae) from each of the five
batch experiment was fit to the equation
Ae a bt
1 ct 17
where t is the time (d) of fermentation, and a, b, and c
are constants fit by least squares analysis. The rate r
was obtained from Eq. (18).
rdAe
dt
b
1 ct2
18
The specific rate, r (g Ae produced/(g VS d)) was deter-
mined from Eq. (18) by dividing it by the initial amount
of substrate concentration, S0 (g VS/L) in each of the
five fermentors
r rS0
19
The predicted rate, rpred, was obtained from Eq. (20);
where the rate of acid production depends on volatile
solids conversion (x) and product concentration (Ae)
rpred e1 x
f
1 g/Aeh
20
Least square analysis was used to determine the empir-
ical parameter constants e, f, g, and h for rpred (Eq.
(20)) from the specific rate r(Eq. (19)). Ae was converted
back to carboxylic acid concentration by / (the ratio of
total grams of actual acids to grams of Ae). The (1 x)term in the numerator of Eq. (20), is the conversion pen-
alty function by South and Lynd (1994).
The conversion, x was calculated using
xt Ae TLV
M0 r21
where, r = selectivity (g Ae produced/g VS digested);
M0 = the initial substrate mass (g VS).
The selectivity r, for Eq. (21) was calculated from the
selectivity s (g total acids produced/g VS digested) deter-
mined in the countercurrent experiment.
s /r 22The selectivity (s) used in the CPDM Mathematica pro-
gram was 0.60 g total acids/g VS digested, the average
value of selectivity for the lime-treated MSW/SS coun-
tercurrent fermentations with terrestrial inocula. Selec-
tivity slightly decreases with increasing VSLR (Fig. 6)
and was described by Eq. (14). Eq. (20) was used in
a Mathematica program (Aiello-Mazzarri, 2002) to
predict acetic acid equivalent concentration (Ae) and
conversion (x) for the countercurrent fermentation at
various VSLR and LRT. Ae was converted back to
carboxylic acid concentration by multiplying by /.
From the CPDM Mathematica program, the values
of the predicted total carboxylic acid concentration
and conversion for the countercurrent fermentation at
various LRT and VSLR were obtained. CPDM predic-
tions for conversions and product concentrations for the
lime-treated MSW/SS countercurrent fermentations
(substrate = 200 g VS/L liquid) are presented in themap in Fig. 9. The experimental carboxylic acid con-
centrations and conversions from the lime-treated
MSW/SS countercurrent fermentations are compared
with the predicted values from the CPDM map
shown in Fig. 9. As shown in Table 3, the average abso-
lute error between the experimental and predicted
total carboxylic acid concentration and conversion
for lime-treated fermentations was 4.4% and 15%,
respectively.
The error between the predicted conversion, xpred and
the experimental conversion, xexp as a function of selec-
tivity is shown in Fig. 10. Linear regression of the data
gave the following correlation:
Error xpred xexp
xexp 2:663s 1:418 23
Future improvements to the CPDM model should
incorporate a varying selectivity, r, to better describe
the countercurrent fermentation process.
Higher substrate concentrations would be allowed if
the process were done on a large scale (Holtzapple
et al., 1999). A higher VS concentration should result in
higher total carboxylic acid concentrations. CPDM
was used to predict the conversion and product concen-trations for a VS concentration of 300 g VS/L liquid; the
CPDM map is shown in Fig. 11. As observed in the
CPDM map, total acid concentrations as high as
40 g/L can be reached at LRT of 35 d and VSLR of
12 g/(L d). Also, conversions as high as 82% can be
achieved at LRT of 10 d and VSLR of 2 g/(L d). Both,
high conversions (>70%) and high product concentra-
tions (>30 g/L) can be achieved at LRT of 35 d and
VSLR between 2 and 3 g/(L d).
0
5
10
15
20
25
30
35
0 0.2 0.4 0.6 0.8 1
Conversion (g VS digested/g VS fed)
Totalcarboxylicacid
concentration(g/L)
234
56812
10
15
2530
35
LRT (days)
VSLR
(g/(Ld))
Fig. 9. CPDM map for lime-treated MSW/SS countercurrent
fermentation (200 g VS/L liquid).
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The CPDM maps for lime-treated MSW/SS coun-
tercurrent fermentations under mesophilic and thermo-
philic conditions (Chan, 2002) at 300 g substrate/L
are compared in Fig. 12. For the same LRT and VSLR
lower than 8 g VS/(L d), using mesophilic conditions
(40 C) higher acid concentrations and conversions can
be achieved than with thermophilic conditions (55 C).
At high VSLR using thermophilic conditions, acid con-
centrations as high as 60 g acids/L can be obtained, but
conversions may be lower than 40%.
4. Conclusions
The batch and countercurrent fermentations using
lime-treated simulated MSW/SS as substrate were very
reproducible. MSW/SS countercurrent fermentations
have been well characterized, and countercurrent fer-
mentations can be operated for extended periods of time
under steady-state conditions. Addition of 48 mg iodo-
form/(L liquid added to F4) inhibited methane genera-
tion. The highest total carboxylic acid concentration
obtained for lime-treated MSW/SS with terrestrial in-
ocula was 26.0 g carboxylic acids/L liquid, which sur-
passed the economic goal of 22 g carboxylic acid/L
liquid (Holtzapple et al., 1999). The fermentation was
operated at pH 5.7, LRT = 22.7 d and VSLR = 8.1 g
VS/(L liquid d) for 403 d. Industrial-scale fermentors
with higher substrate concentrations would achieve
higher product acid concentrations and conversions.
The CPDM model predicts product concentrations
and conversions within 4% and 16%, respectively. The
CPDM model was a useful tool in predicting product
concentration and conversion. The predicted values
Table 3
Comparison of experimental and predicted carboxylic acid concentration and substrate conversion for lime-treated MSW/SS countercurrent
fermentations AF
Fermentation trains A B C D E F Averagea (%)
LRT (d) 20.7 19.0 22.7 20.7 17 19.7
VSLR (g VS/L d) 3.0 4.0 8.1 3.1 6.4 5.7
Experimental carboxylic acid concentration (g/L) 16.90 16.29 25.99 17.07 18.62 20.66
Predicted (CPDM) carboxylic acid concentration (g/L) 16.12 17.54 23.53 17.10 18.39 19.97Errorb (%) 4.6 7.7 9.5 0.2 1.2 3.3 4.4Experimental conversion 0.43 0.37 0.30 0.45 0.39 0.33
Predicted (CPDM) conversion 0.54 0.49 0.29 0.56 0.36 0.38
Errorb 20.3 24.3 3.3 24.3 7.7 15.1 15.8
a Average absolute error P
jpredicted experimental=experimentalj=6.b Error = ((predicted experimental)/experimental) 100.
0
5
10
15
20
25
30
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Selectivity
(g total acid/g VS digested)
Error
(%)
Fig. 10. Correlation of error between experimental and predicted
conversion and selectivity for lime-treated MSW/SS fermentations
with terrestrial inocula.
0
5
10
15
20
25
30
35
40
45
0 0.2 0.4 0.6 0.8 1
Conversion (g VS digested/g VS fed)
Totalcarboxylicacid
concentration(g/L)
23
4568
12
10
15
2530
35
LRT (days)
VSLR
(g/(Ld)
Fig. 11. CPDM map for lime-treated MSW/SS countercurrent
fermentation for substrate concentration 300 g VS/L liquid.
0
10
20
30
40
50
60
0 0.2 0.4 0.6 0.8 1
Conversion (g VS digested/g VS fed)
Totalcarboxylic
acidconcentration(g/L)
23
4568
12
10
15
2530
35
346
Mesophilic
-------- Thermophilic
VSLR(g/(Ld))
LRT (days)
Fig. 12. CPDM maps for lime-treated MSW/SS four-stage coun-
tercurrent fermentation under mesophilic and thermophilic conditions
(80/20 MSW to SS ratio, and 300 g VS/L liquid for both conditions.
Thermophilic data from Chan, 2002).
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can be used to estimate the costs and process economics
of industrial-scale fermentors.
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