A mixed Weibull model for size reduction of particulate and fibrous materials

Powder Technology

Volumn 194, Issue 3, 2009, Pages 233-238

  Krifa, Mourad ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Breakage; Fiber length distribution; Particle size distribution; Probability distribution function

Indexed keywords

BREAKAGE; BREAKAGE MODELS; BREAKAGE PROBABILITY; BREAKAGE PROCESS; CUMULATIVE DISTRIBUTION FUNCTION; DIMENSIONAL REDUCTION; DISTRIBUTION OF PARTICLES; FIBER LENGTH DISTRIBUTION; FIBROUS MATERIAL; FRAGMENT DISTRIBUTIONS; NEW APPROACHES; POPULATION BALANCES; REDUCTION PROCESS; SIZE REDUCTIONS; WEIBULL MIXTURE; WEIBULL MODELS;

PARTICLE SIZE; PARTICLE SIZE ANALYSIS; RANDOM VARIABLES; SIZE DISTRIBUTION; WEIBULL DISTRIBUTION;

DISTRIBUTION FUNCTIONS;

ARTICLE; CONTROLLED STUDY; FIBER; GRINDING; PARTICLE SIZE; PARTICULATE MATTER; PREDICTION; STATISTICAL MODEL;

EID: 67349149356     PISSN: 00325910     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.powtec.2009.04.011     Document Type: Article

References (18)

1. Fieller N.R.J., Flenley E.C., and Olbricht W. Statistics of particle size data. Appl. Stat. 41 1 (1992) 127-146
2. Ramkrishna D. Population Balances: Theory and Applications to Particulate Systems in Engineering (2000), Academic Press, San Diego, CA
3. Goren S.L. Distribution of lengths in the breakage of fibers of linear polymers. Can. J. Chem. Eng. 46 (June 1968) 185-188 (1968)
4. Meyer R., Almin K.E., and Steenberg B. Length reduction of fibres subject to breakage. Brit. J. Appl. Phys. 17 (1966) 409-416
5. Robert K.Q., and Blanchard L.J. Cotton cleanability. Part I: modeling fiber breakage. Textile Res. J. 67 6 (1997) 417-427
6. Tallant J.D., Pittman R.A., and Schultz E.F.J. The changes in fiber-number length distribution under various breakage models. Textile Res. J. 36 8 (1966) 729-737
7. Vanni M. Approximate population balance equations for aggregation-breakage processes. J. Colloid Interface Sci. 221 2 (2000) 143-160
8. Allen E., Khoujmane A., Krifa M., and Simsek H. A stochastic differential equation model for cotton fiber breakage. Neural Parallel Sci. Comput. 15 2 (2007) 181-192
9. Mantzaris N.V. Transient and asymptotic behaviour of the binary breakage problem. J. Phys. A: Math. Gen. 38 (2005) 5111-5132
10. Krifa M. Fiber length distribution in cotton processing: dominant features and interaction effects. Textile Res. J. 76 5 (2006) 426-435
11. Weibull W. A statistical distribution function of wide applicability. J. Appl. Mech. 18 (1951) 293-297
12. Zinck P., Mäder E., and Gerard J.F. Role of silane coupling agent and polymeric film former for tailoring glass fiber sizings from tensile strength measurements. J. Mater. Sci. 36 21 (2001) 5245-5252
13. Jiang R., and Murthy D.N.P. Modeling failure-data by mixture of 2 Weibull distributions: a graphical approach. IEEE Trans. Reliab. 44 3 (1995) 477-488
14. Cai J., and Liu R. Weibull mixture model for modeling nonisothermal kinetics of thermally stimulated solid-state reactions: application to simulated and real kinetic conversion data. J. Phys. Chem., B 111 36 (2007) 10,681-10,686
15. ISO 9276-3. Representation of Results of Particle Size Analysis - Part 3: Adjustment of an Experimental Curve to a Reference Model. ISO Standards (2008), International Organization for Standardization, Geneva
16. Kurita H., Takami A., and Koda S. Size reduction of gold particles in aqueous solution by pulsed laser irradiation. Appl. Phys. Lett. 72 7 (1998) 789-791
17. Odom R.C., and Smith F.G. CST particle size reduction tests. U.S. Department of Energy, Office of Scientific and Technical Information. Oak Ridge, TN. Report No. WSRC-TR-2000-00350 (2000)
18. Krifa M. Fiber length distribution in cotton processing: a finite mixture distribution model. Textile Res. J. 78 8 (2008) 688-698