the transportation sector of the united states accounts for over 70% of the nation 's total petroleum consumption , and 57% of the petroleum is imported .
in addition , use of petroleum - based fuels contributes to accumulation of greenhouse gases ( ghg ) in the atmosphere . due to concerns of energy security and ghg emissions
, it becomes crucial to develop domestic sustainable alternatives to petroleum - based transportation fuels .  
biofuels produced from cellulosic biomass ( herbaceous , woody , and generally inedible portions of plant matter ) are a sustainable alternative to petroleum - based fuels .
the united states has the resource to produce over 1 billion dry tons of biomass with more than 80% of cellulosic biomass including about 320 million dry tons of woody biomass annually [ 5 , 6 ] .
this amount of biomass is sufficient to produce 90 billion gallons of liquid fuels that can replace about 30% of the nation 's current annual consumption of petroleum - based transportation fuels .
in contrast to grain - based biofuels , cellulosic biofuels do not compete for the limited agricultural land with food or feed production . 

figure 1 shows the major processes of converting woody biomass to ethanol ( the most common form of biofuels ) .
size reduction of woody biomass is necessary because large - size woody biomass can not be converted to biofuels efficiently with the current conversion technologies [ 810 ] .
machines available for wood chipping include disk , drum , and v - drum chippers [ 1214 ] .  
straight knives are mounted on a flywheel that revolves at a speed ranging from 400 to 1000 revolutions per minute ( rpm ) .
wood chips produced by wood chipping usually have sizes ranging from 5 to 50  mm .
the second step is biomass milling to further reduce the wood chips into small particles .
this step is usually conducted on knife mills   or hammer mills [ 1719 ] .
wood particles produced by biomass milling usually have sizes ranging from 0.1 to 10  mm .
energy consumption of this step ranged from 0.15 to 0.85  wh / g [ 15 , 20 , 21 ] .
sieves are installed on knife mills and hammer mills to control the size of wood particles . during biomass milling ,
wood particles that are smaller than the sieve size ( the size of the openings on a sieve ) will pass through the sieve ; those larger than the sieve size will be recirculated and milled further . in this study
, sieves and sieve size are reserved to describe the sieves installed on knife mills or hammer mills .
there are reported studies about the effects of sieve size on energy consumption in woody biomass milling using knife mills or hammer mills .
a consistent observation was that energy consumption increased dramatically as sieve size became smaller [ 2224 ]
. however , these reports did not present sugar yield ( proportional to ethanol yield ) results using the wood particles produced by biomass milling .
it was reported that woody biomass with smaller particle size had higher sugar yield [ 2528 ] .
however , particle size in these reported studies was defined differently from the sieve size in this paper . in these studies , wood particles produced by knife mills or hammer mills using a certain sieve size
the term particle size was actually the particle size range determined by the sizes of the openings on the screens . in this paper , the size of the openings on the screen is called screen size
. moreover , previously reported studies did not present energy consumption data for the biomass milling process used to produce the wood particles from which the sugar yield measurements were performed .
the lack of comprehensive studies about the effects of sieve size on energy consumption in size reduction ( biomass milling ) and sugar yield in hydrolysis makes it difficult to decide which sieve size should be selected in order to minimize the energy consumption in size reduction and maximize the sugar yield in hydrolysis .
the purpose of this study is to fill this gap in the literature by studying the effects of sieve size on energy consumption in size reduction and sugar yield in hydrolysis simultaneously .
since the purchased wood chips had a wide distribution in size , the wood chips were separated into three groups using two screens with screen size of 5 and 12.5  mm , respectively .
are those that passed through the 12.5  mm screen but not the 5  mm screen . examples of large , medium , and small wood chips are shown in figure 3 .
the moisture content of the wood chips ( as purchased ) was 1.2% , measured by following the asae standard s358.2 . to adjust the moisture content of wood chips to a desired level
, distilled water was added ( by spraying evenly ) to the wood chips . to achieve wood chips of 10% and 18% moisture content , 96 and 233  ml
after moisture content adjustment , the wood chips were placed in the sealed ziploc bags and stored in a refrigerator at 4c for at least 72 hours before knife milling .  
three knives ( 95  mm long and 35  mm wide ) were mounted on the rotor inside the milling chamber .
a sieve ( 145  mm long and 98  mm wide ) was mounted at the bottom of the milling chamber . sieves with three sieve sizes ( 4 , 2 , and 1  mm , resp . ) , as shown in figure 6 , were used in this study .
sieve sizes of 1 and 4  mm were selected because they were the minimum and maximum sieve size , respectively , that could be practically investigated in this study . as described in section 2.1 ,
the wood chips prior to milling had a range of 5 to 12.5  mm .
if any available sieve size larger than 4  mm was used , some of the wood chips would fall through the sieve without being cut .
furthermore , based on previous experience , if any available sieve size smaller than 1  mm ( the next one was 0.5  mm ) was used , some of the sieve openings would be blocked by milled particles , causing significant increase in milling time and energy consumption . at the beginning of each test , the knife mill was run for 10 seconds before loading any wood chips to avoid the current spike ( this would happen if the knife mill started with wood chips already in the milling chamber ) .
this amount of wood chips was enough to keep the milling chamber approximately full ( in volume ) . during knife milling ,
more wood chips were loaded into the milling chamber using a scoop as shown in figure 7 .
the amount of wood chips loaded by the scoop at each time was 5  1  g. these additional wood chips were loaded at a rate that would keep the milling chamber approximately full ( in volume ) but without causing over loading . in each test , the total amount of wood chips loaded into the milling chamber was 200  g. the milling time was different under different conditions .
when a smaller sieve size was used , it took a longer time to mill the same amount of wood chips . after each test ,
wood particles in the receiving container were collected , weighed , and kept in the sealed ziploc bags .
the amount of wood particles collected by the receiving container in each test was less than 200  g , because some wood chips ( or particles ) did not pass through the sieve yet when the knife mill was turned off . before starting the next test ,
the milling chamber was opened and any remaining wood chips were cleaned using a brush . to allow the motor to cool down
, there was a waiting period ( at least five minutes ) between two successive tests .
in this study , energy consumption is the electricity consumed by the electric motor of the knife mill . as shown in figure 4 , electric current to the motor was measured using a fluke 189 multimeter and a fluke 200  ac current clamp ( fluke corp . , everett , wa , usa ) .
data acquisition began after the first 50  g of wood chips was loaded into the milling chamber and stopped when additional 150  g of wood chips was all loaded into the chamber .
the voltage ( vln ) was 208  v. the energy consumed during each test ( that lasted for t seconds ) ( et ) was calculated using the following : 
 ( 1)et=3iavevlnt3600(wh ) . 
 dividing et by the weight ( w ) of the wood particles collected from the receiving container after
the test gives energy consumption ( e ) per unit weight , as expressed in ( 2 ) : 
 ( 2)e = etw(whg ) .
sugar yield in hydrolysis is the amount of glucose produced from hydrolyzing cellulose using enzymes .
it was expressed as the concentration of glucose ( mg / ml ) in the measurement sample .  
figure 8 shows the four steps in sugar yield measurement . in this study , 10  g of biomass and 200  ml of 2% sulfuric acid were loaded in the 600  ml vessel of a parr pressure reactor ( model 4760a , parr instrument co. , moline , il , usa ) .
after pretreatment , biomass was washed with hot distilled water using a centrifugal ( model pr-7000  m , international equipment co. , needham , ma , usa ) .
the purpose of biomass washing was to remove the acid residues and inhibitors ( substances that would bind to enzymes and decrease their activity to depolymerize cellulose to glucose ) formed during pretreatment .
each biomass sample was washed three times , and each time lasted for 15 minutes .
rochester , ny , usa ) enzyme complex was used for hydrolysis of wood particles into sugars in solution with sodium acetate buffer ( 50  mm , ph 4.8 ) and 0.02% ( w / v ) sodium azide to prevent the microbial growth during hydrolysis .
enzymatic hydrolysis was carried out in 125  ml flasks with 50  ml of slurry in the water bath shaker ( model c76 , new brunswick scientific , edison , nj , usa ) with agitation speed of 110  rpm at 50c for 72 hours .
the dry mass content of the hydrolysis slurries was 5% ( w / v ) and the enzyme loading was 1  ml / g of dry biomass .
sugar analysis was done using an hplc ( shimadzu corp . , kyoto , japan ) equipped with an rpm - monosaccharide column ( 300  7.8  mm
; phenomenex , torrance , ca , usa ) and a refractive index detector ( rid-10a , shimadzu , kyoto , japan ) . the mobile phase was 0.6  ml / min of double - distilled water , and oven temperature was 80c .
particle size distribution was determined using a screen shaker ( model ro - tap 8 rx-29 , w.s .
tyler industrial group , mentor , oh , usa ) as illustrated in figure 9 .
a stack of screens from the bottom to the top were arranged from the smallest to the largest in screen size .
the screen sizes used were 0.1 , 0.2 , 0.4 , 0.6 , 1.2 , 2.4 , 5.6 , and 6.3  mm . a pan ( no openings )
the screen shaker provided circular motion to the stack of screens at the rate of 278  rpm .
simultaneously , the tapping hammer hit the top of the stack at the frequency of 150 times per minute .
the percentage of the wood particles in each of the nine particle size ranges ( < 0.1 , 0.1 - 0.2 , 0.20.4 , 0.40.6 , 0.61.2 , 1.22.4 , 2.45.6 , 5.66.3 , and > 6.3  mm ) was translated to particle size distribution .
for instance , when knife milling of wood chips with moisture content of 1.2% , energy consumption was as high as 1.38  wh / g for 1  mm sieve size and only 0.16  wh / g for 4  mm sieve size .
the same trend was observed for the other two levels of moisture content . in the literature , there are no reports about the effects of sieve size on energy consumption in knife milling of poplar wood chips .
phanphanich and mani   used a knife mill ( of the same model as the one used in this study ) to reduce the size of pine wood chips ( including chips , branches , barks , leaves , and small particles ) .
the hammer mill was manufactured by sears roebuck and co. ( hoffman estates , il , usa ) .
the size of the willow wood chips ( three dimensions ) was 1350 , 13 - 76 , and 525  mm .
energy consumption in hammer milling using the 1 , 2 , and 4  mm sieves was 1.55 , 0.66 , and 0.39  wh / g , respectively .
moisture content of poplar wood chips also affected energy consumption in knife milling . as shown in figure 11 ,
energy consumption in knife milling increased when moisture content increased from 1.2% to 10% and decreased slightly when moisture content increased from 10% to 18% .
the literature does not have any reports about the effects of moisture content on energy consumption in knife milling of wood chips using the knife mill of the same model as the one used in this study . however , there are reports on these effects in knife milling of herbaceous biomass ( such as miscanthus , switchgrass , and wheat straw ) .
miao et al .   investigated energy consumption in knife milling of miscanthus and switchgrass using the same model of knife mill .
it was found that when moisture content increased from 710% to 15% , energy consumption in knife milling increased significantly .
the same trend was also found in size reduction of wheat straw , barley straw , corn stover , and switchgrass using a hammer mill . according to mani et al .
, an increase in moisture content of cellulosic biomass would increase the shear strength of the biomass ; therefore , more energy was consumed in milling of cellulosic biomass .  
materials used for sugar yield evaluation were the particles produced by knife milling of wood chips with the moisture content of 1.2% .
for each sieve size , there were two independent samples processed for sugar yield evaluation .  
the results showed that wood particles processed using the 4  mm sieve had the highest sugar yield while sugar yields of wood particles processed using the 1 and 2  mm sieves were approximately the same .
wheat straw particles milled using the 2  mm sieve had higher sugar yield than those milled using the 1  mm sieve .
in their work , wheat straw , corn stover , and big bluestem were milled using a hammer mill ( model 18 - 7 - 300 , schuttle - buffalo hammermill , buffalo , ny , usa ) using 3.2 and 6.5  mm sieves .
for these three types of cellulosic materials , biomass particles milled using the 6.5  mm sieve yielded more sugar than those milled using the 3.2  mm sieve ( figure 14 ) . both these reported studies involved a pelleting process ( agglomerating biomass particles produced by milling into pellets ) before sugar yield . figures 15 and 16 show the effects of woody biomass particle size on sugar yield reported in the literature . in dasari and berson 's study , red oak saw dust was screened into four particle size ranges .
as shown in figure 15 , particles in the size range of 0.030.08  mm yielded 80% more sugar than those in the size range of 0.590.85  mm . in zhu
et al . 's study , spruce wood chips were hammer milled in three successive steps using sieve sizes of 12.7 , 4.8 , and 0.8  mm , respectively .
as shown in figure 16 , particles in the size range of smaller than 0.32  mm yielded 1.6 times more sugar than those in the size range of larger than 1.27  mm . 

figure 17 shows the wood particles produced by knife milling using the three different sieve sizes ( 4 , 2 , and 1  mm resp . ) .
the particles produced using the same sieve did not have a uniform size . their size distribution is shown in figure 18 .
in himmel et al . 's study , poplar wood chips were processed by a knife mill ( mitts & merrill frmag group , harvard , il , usa ) using 1/16 , 1/8 , and 3/32  inch ( 1.59 , 3.18 , and 2.38  mm ) sieves .
the results from this study and the studies conducted by zhang et al .   and theerarattananoon et al .  
however , results reported by dasari and berson   and zhu et al .   show that wood particles in the smaller size range had higher sugar yield . at this point in time
however , some differences in test conditions were noticed . in the studies reported by dasari and berson   and zhu et al . , wood particles were from relatively narrow size ranges . in this work ,
further investigations will be carried out to study the effects of particle size distribution on woody biomass sugar yield .
in this study , effects of sieve size on energy consumption in knife milling of poplar wood chips and sugar yield in hydrolysis were studied .
poplar wood particles processed by knife milling using the 4  mm sieve had higher sugar yield than those processed by knife milling using the 1 and 2  mm sieves .
knife milling of wood chips using the 4  mm sieve consumed less energy in size reduction than using the 1 and 2  mm sieves .
the wood particles knife milled using the 4  mm sieve had higher sugar yield in hydrolysis than those milled using the 1 and 2  mm sieves .
this finding is very important when deciding what sieve size is to be used in knife milling of wood chips to minimize energy consumption in size reduction and maximize sugar productivity in hydrolysis . in future study
, the authors will also use 0.25 , 0.5 , and 8  mm sieves to further investigate the effects of sieve size on energy consumption in size reduction and sugar yield in hydrolysis .
a hammer mill will be utilized to see if similar results can be obtained on different types of milling machines .
more types of cellulosic materials will be tested to see if conclusions obtained in this study can be extended to different types of cellulosic biomass .
 size reduction is the first step for manufacturing biofuels from woody biomass . 
 it is usually performed using milling machines and the particle size is controlled by the size of the sieve installed on a milling machine . 
 there are reported studies about the effects of sieve size on energy consumption in milling of woody biomass . 
 these studies show that energy consumption increased dramatically as sieve size became smaller . 
 however , in these studies , the sugar yield ( proportional to biofuel yield ) in hydrolysis of the milled woody biomass was not measured . 
 the lack of comprehensive studies about the effects of sieve size on energy consumption in biomass milling and sugar yield in hydrolysis process makes it difficult to decide which sieve size should be selected in order to minimize the energy consumption in size reduction and maximize the sugar yield in hydrolysis . 
 the purpose of this paper is to fill this gap in the literature . in this paper , knife milling of poplar wood 
 was conducted using sieves of three sizes ( 1 , 2 , and 4  mm ) . 
 results show that , as sieve size increased , energy consumption in knife milling decreased and sugar yield in hydrolysis increased in the tested range of particle sizes . 
1. Introduction
2. Experimental Conditions and Procedures
3. Evaluation Parameters and Measurement Procedures
4. Results and Discussion
5. Conclusions and Future Work