Skip to main content

Advertisement

Log in

Development of size reduction equations for calculating power input for grinding pine wood chips using hammer mill

  • Original Article
  • Published:
Biomass Conversion and Biorefinery Aims and scope Submit manuscript

Abstract

Size reduction is an unavoidable operation for preparing biomass for biofuels and bioproduct conversion. Yet, there is considerable uncertainty in power input requirement and the uniformity of ground biomass. Considerable gains are possible if the required power input for a size reduction ratio is estimated accurately. In this research, three well-known mechanistic equations attributed to Rittinger, Kick, and Bond available for predicting energy input for grinding pine wood chips by hammer mill were tested against experimental grinding data. Prior to testing, samples of pine wood chips were conditioned to 11.7 % wb, moisture content. The wood chips were successively ground in a hammer mill using screen sizes of 25.4, 10, 6.4, and 3.2 mm. The input power and the flow of material into the hammer mill were recorded continuously. The recorded power input vs. mean particle size showed that the Rittinger equation had the best fit to the experimental data. The ground particle sizes were four to seven times smaller than the size of the installed screen. Geometric mean size of particles were calculated using two methods: (1) Tyler sieves and using particle size analysis and (2) Sauter mean diameter calculated from the ratio of volume to surface that were estimated from measured length and width. The two mean diameters agreed well, pointing to the fact that either mechanical sieving or particle imaging can be used to characterize particle size. Specific energy input to the hammer mill increased from 1.4 kWh t−1 (5.2 J g−1) for large 25.1-mm screen to 25 kWh t−1 (90.4 J g−1) for small 3.2-mm screen.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Abbreviations

PWC:

Pine Wood Chips

wb:

Wet basis

o.d:

Oven dry

C :

Intercepts

d :

Particle size, mm

E :

Specific energy, kWh t−1 (J g−1)

k :

Constant

K :

Constant

L :

Characteristic particle size equal to d gw, mm

P :

Power consumption, W

S :

Surface area, mm2

V :

Volume, mm3

0 :

Empty

32 :

Sauter mean, 3 represent volume, 2 represent surface area

B :

Bond

F :

Feed particles

gw :

Geometric mean by mass

i :

Sieve number

K :

Kick

P :

Product particles

R :

Rittinger

References

  1. Mani S, Tabil LG, Sokhansanj S (2004) Grinding performance and physical properties of wheat and barley straws, corn stover and switchgrass. Biomass Bioenergy 27:339–352. doi:10.1016/j.biombioe.2004.03.007

    Article  Google Scholar 

  2. Bitra VSP, Womac AR, Chevanan N, Miu PI, Igathinathane C, Sokhansanj S, Smith DR (2009) Direct mechanical energy measures of hammer mill comminution of switchgrass, wheat straw, and corn stover and analysis of their particle size distributions. Powder Technol 193(1):32–45. doi:10.1016/j.powtec.2009.02.010

  3. Adapa P, Tabil L, Schoenau G (2011) Grinding performance and physical properties of non-treated and steam exploded barley, canola, oat and wheat straw. Biomass Bioenergy 35(1):549–561. doi:10.1016/j.biombioe.2010.10.004

    Article  Google Scholar 

  4. Miao Z, Grift TE, Hansen AC, Ting KC (2011) Energy requirement for comminution of biomass in relation to particle physical properties. Ind Crop Prod 33(2):504–513. doi:10.1016/j.indcrop.2010.12.016

    Article  Google Scholar 

  5. Naimi LJ, Sokhansanj S, Bi X, Lim CJ, Womac AR, Lau AK, Melin S (2013) Development of size reduction equations for calculating energy input for grinding lignocellulosic particles. Appl Eng Agric 29(1):93–100

  6. Naimi LJ, Oveisi E, Sokhansanj S, Sowlati T, Lau AK, Bi X, Lim CJ, Melin S, Igathinathane C, Skea D, Day K, MacDonald J, Sauder T, Womac A (2009) The performance (quality) of size reduction of woody biomass. In: ASAE Paper No. 097957.Vol 0300. St. Joseph, Mich: ASABE

  7. Groover MC (2011) A comparison of chipper productivity, chip characteristics, and nutrient removals from two woody biomass harvesting treatments. Blacksburg, VA

    Google Scholar 

  8. Esteban LS, Carrasco JE (2006) Evaluation of different strategies for pulverization of forest biomasses. Powder Technol 166(3):139–151. doi:10.1016/j.powtec.2006.05.018

    Article  Google Scholar 

  9. Phanphanich M, Mani S (2011) Impact of torrefaction on the grindability and fuel characteristics of forest biomass. Bioresour Technol 102(2):1246–1253. doi:10.1016/j.biortech.2010.08.028

    Article  Google Scholar 

  10. Gil M, González A, Gil A (2008) Evaluation of milling energy requirements of biomass residues in a semi-industrial pilot plant for co-firing. 17th Eur Biomass Conf Exhib. http://teide.cps.unizar.es:8080/pub/publicir.nsf/codigospub/0497/$FILE/cp0497a.pdf

  11. Gravelsins RJ (1998) Studies of grinding of wood and bark-wood mixtures with the szego mill. Thesis (Ph.D.), University of Toronto

  12. Walker DR, Shaw MC (1954) A physical explanation of the empirical laws of comminution. AIME Trans 313-320

  13. Earle R, Earle M (1966) Unit operations in food processing

  14. Perry RH, Green DW, Maloney JO (1997) Perry’s chemical engineers’ handbook http://knovel.com/web/portal/browse/display?_EXT_KNOVEL_DISPLAY_bookid=48&VerticalID=0

  15. Carpinteri A, Pugno N (2005) Are scaling laws on strength of solids related to mechanics or to geometry? Nat Mater 4(6):421–423. doi:10.1038/nmat1408

    Article  Google Scholar 

  16. Bond FC (1952) The third theory of comminution. Trans AIME Min Eng 193:484–494. doi:10.1016/j.mineng.2006.01.007

    Google Scholar 

  17. Bond FC (1961) Crushing and grinding calculations part I. Br Chamical Eng 6(6):378–385

    Google Scholar 

  18. Stamboliadis ET (2002) A contribution to the relationship of energy and particle size in the comminution of brittle particulate materials. Miner Eng 15(10):707–713. doi:10.1016/S0892-6875(02)00185-1

    Article  Google Scholar 

  19. Carpinteri A, Pugno N (2003) A multifractal comminution approach for drilling scaling laws. Powder Technol 131(1):93–98. doi:10.1016/S0032-5910(02)00335-2

    Article  Google Scholar 

  20. Gongbo LI, Xiaohe XU (1993) Experimental investigation of the energy-size reduction relationship in comminution using fractal theory 6(2):163–172

  21. Hukki RT (1962) Proposal for a solomonic settlement between the theories of von Rittinger, Kick and Bond. AIME Trans 223:403–408

    Google Scholar 

  22. Carpinteri A, Pugno N (2002) One, two, and three-dimensional universal laws for fragmentation due to impact and explosion. J Appl Mech 69(6):854. doi:10.1115/1.1488937

    Article  MATH  Google Scholar 

  23. ANSI/ASAE S358.3 (2012) Moisture measurement—forages. ASAE Stand

  24. Pasikatan MC, Milliken GA, Steele JL, Spillman CK, Haque E (2001) Modeling the size properties of first-break ground wheat. Trans ASAE 44(6):1727–1735

    Google Scholar 

  25. Ramakrishnan KN (2000) Modified Rosin Rammler equation for describing particle size distribution of milled powders. J Mater Sci Lett 19(21):1903–1906. doi:10.1023/A:1006742928764

    Article  Google Scholar 

  26. ANSI/ASAE S319.3 (2003) Method of determining and expressing fineness of feed materials by sieving. ASAE Stand

  27. Rasband W (2012) ImageJ. U S Natl Institutes Heal Bethesda, Maryland, USA: http://Imagej.nih.gov/ij/

  28. Eskin DI, Dorokhov IN, Vasil’kov OI, Voropaev SN (2001) Modeling and optimization of jet milling. Theor Found Chem Eng 35(2):188–195. doi:10.1023/A:1010389825366

    Article  Google Scholar 

  29. Tannous K, Lam PS, Sokhansanj S, Grace JR (2013) Physical properties for flow characterization of ground biomass from Douglas-fir wood. Part Sci Technol 31:291–300. doi:10.1080/02726351.2012.732676

    Article  Google Scholar 

  30. Agblevor FA, Besler S (1996) Inorganic compounds in biomass feedstocks. 1. Effect on the quality of fast pyrolysis oils. Energy Fuel 10(2):293–298. doi:10.1021/ef950202u

    Article  Google Scholar 

  31. Jia D, Cathary O, Peng J, Bi X, Lim CJ, Sokhansanj S, Liu Y, Wang R, Tsutsumi A (2015) Fluidization and drying of biomass particles in a vibrating fluidized bed with pulsed gas flow. Fuel Process Technol 138:471–482. doi:10.1016/j.fuproc.2015.06.023

  32. Temmerman M, Jensen PD, Hébert J (2013) Von Rittinger theory adapted to wood chip and pellet milling, in a laboratory scale hammermill. Biomass Bioenergy 56:70–81. doi:10.1016/j.biombioe.2013.04.020

    Article  Google Scholar 

  33. Naimi LJ (2015) Biomass size reduction for making dense pellets. Thesis (Ph.D.) University of British Columbia

Download references

Acknowledgments

The authors express their gratitude to Fibreco Export Inc. North Vancouver, BC, for providing pine wood chips. The Natural Sciences and Engineering Research Council (NSERC) Discovery Grant provided the financial support.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ladan J. Naimi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Naimi, L.J., Collard, F., Bi, X. et al. Development of size reduction equations for calculating power input for grinding pine wood chips using hammer mill. Biomass Conv. Bioref. 6, 397–405 (2016). https://doi.org/10.1007/s13399-015-0195-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13399-015-0195-1

Keywords

Navigation