The application of the informational theory to the analysis of the grinding process under action of transverse rotating magnetic field

Powder Technology

Volumn 201, Issue 2, 2010, Pages 161-170

  Rakoczy, Rafał ^a  

^a WEST POMERANIAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Grinding process; Informational entropy; Magnetically driven fluidization; Maximum entropy principle; Rotating magnetic field

Indexed keywords

EXPERIMENTAL INVESTIGATIONS; FERROMAGNETIC PARTICLES; GRINDING PROCESS; INFORMATIONAL ENTROPY; MATHEMATICAL DESCRIPTIONS; MAXIMAL ENTROPY; MAXIMUM ENTROPY PRINCIPLE; NEW APPROACHES; ROTATING MAGNETIC FIELDS; TRANSVERSE ROTATING MAGNETIC FIELDS;

FLUID DYNAMICS; FLUIDIZATION; GRINDING (MACHINING); MAGNETIC FIELDS; MAXIMUM PRINCIPLE; PARTICLES (PARTICULATE MATTER); ROTATION; STRUCTURES (BUILT OBJECTS);

ENTROPY;

ALGORITHM; ARTICLE; CONTROLLED STUDY; ENTROPY; FLUIDIZATION; GRINDING; INFORMATION PROCESSING; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; PARTICLE SIZE; PROBABILITY; PROCESS OPTIMIZATION; VISCOSITY;

EID: 77952587808     PISSN: 00325910     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.powtec.2010.03.021     Document Type: Article

References (69)

1. Pernenkil L., Cooney C.L. A review on the continuous blending of powders. Chemical Engineering Science 2006, 61:720-742.
2. Yekeler M., Ozkan A., Austin L.G. Kinetics of fine wet grinding in a laboratory ball mill. Powder Technology 2001, 114:224-228.
3. Austin L.G. A discussion of equations for the analysis of batch grinding data. Powder Technology 1999, 106:71-77.
4. Heim A., Olejnik T.P., Pawlak A. Using statistical moments to describe grinding in a ball mill for industrial process. Chemical Engineering and Processing: Process Intensification 2005, 44:263-266.
5. Berthiaux H., Mizonov V. Applications of Markov chains in particulate process engineering: A review. The Canadian Journal of Chemical Engineering 2004, 82:1143-1168.
6. Runkana V., Somasundaran P., Kaptur P.C. Mathematical modelling of polymer-induced flocculation by charge neutralization. Journal of Colloid and Interface Science 2004, 270:347-358.
7. Chen S.J., Fan L.T., Watson C.A. The mixing of solid particles in a motionless mixer - a stochastic approach. AIChE Journal 1972, 18:984-989.
8. Bridgwater J The dynamic of granular materials - towards grasping the fundamentals. Granular Matter 2003, 4:175-181.
9. Masiuk S., Rakoczy R., Kordas R. Entropy criterion of random states for granular material in a mixing process. Chemical Papers 2008, 62:247-254.
10. Masiuk S., Rakoczy R., Kordas M. Informational analysis of the grinding process of granular material using a multi-ribbon blender. Chemical Papers 2009, 63:158-163.
11. Masiuk S., Rakoczy R. The entropy criterion for the homogenisation process in a multi-ribbon blender. Chemical Engineering and Processing: Process Intensification 2006, 45:500-506.
12. Rakoczy R. Hydro-thermal Behaviour of Liquid Systems in a Magnetic Field 2006, Szczecin University of Technology, Doctor's Thesis.
13. De Grott S.R., Mazur P. Non-equilibrium Thermodynamics 1962, North-Holland Publishing Co, Amsterdam.
14. Rinaldi C., Gutman F., He X., Rosenthal A.D., Zhan M. Torque measurements on ferrofluid cylinders in rotating magnetic field. Journal of Magnetism and Magnetic Materials 2005, 289:307-310.
15. Dikansky Y.I., Bedjanian M.A., Chuenkova I.Y., Suzdalev V.N. The dynamic behaviour of a collapsing bubble in a magnetic field. Journal of Magnetism and Magnetic Materials 2002, 252:276-279.
16. Steinbach S., Ratke L. The effect of rotating magnetic field on the mictrostructure of directionally solidified Al-Si-Mg alloys. Materials Science and Engineering A 2005, 413-414:200-204.
17. Rhodes S., He X., Elborai S., Lee S.H., Zhan M. Magnetic fluid behaviour in uniform DC, AC, and rotating magnetic field. Journal of Electrostatics 2006, 64:513-519.
18. Kurt E., Busse F.H., Pesch W. Hydromagnetic convection in a rotating annulus with an azimuthal magnetic field. Theoretical and Computational Fluid Dynamics 2004, 18:251-263.
19. Walker J.S., Volz M.P., Mazuruk K. Rayleigh-Benard instability in a vertical cylinder with a rotating magnetic field. International Journal of Heat and Mass Transfer 2004, 47:1877-1887.
20. Hadid H.B., Vaux S., Kaddeche S. Three-dimensional flow transitions under a rotating magnetic field. Journal of Crystal Growth 2001, 230:57-62.
21. Gelfgat Y., Krūminš J., Li B.Q. Effects of system parameters on MHD flows in rotating magnetic field. Journal of Crystal Growth 2000, 210:788-796.
22. Grants I., Gerbeth G. The suppression of temperature fluctuations by a rotating magnetic field in a high aspect ratio Czochralski configuration. Journal of Crystal Growth 2007, 308:290-296.
23. Pamme N., Manz A. On-chip free-flow magnetophoresis: continuous flow separation of magnetic particles and agglomerates. Analytical Chemistry 2004, 76:7250-7256.
24. Rida A., Gijs M.A.M. Manipulation of self-assembled structures of magnetic beads for microfluidic mixing and assaying. Analytical Chemistry 2004, 76:6239-6246.
25. Melle S., Fuller G., Rubio M.A. Structure and dynamics of magnetorheological fluids in rotating magnetic field. Physical Review E 2000, 61:4111-4117.
26. Volz M.P., Mazuruk K. Thermoconvective instability in a rotating magnetic field. International Journal of Heat and Mass Transfer 1999, 42:1037-1045.
27. Melle S., Calderon O.G., Fuller G.G., Rubio M.A. Polarizable particle aggregation under rotating magnetic fields using scattering dichroism. Journal of Colloid and Interface Science 2002, 247:200-209.
28. Walker J.S., Volz M.P., Mazuruk K. Rayleigh-Bénard instability in a vertical cylinder with a rotating magnetic field. International Journal of Heat and Mass Transfer 2004, 47:1877-1887.
29. Nikrityuk P.A., Eckert K., Grundmann R. A numerical study of unidirectional solidification of a binary metal alloy under influence of a rotating magnetic field. International Journal of Heat and Mass Transfer 2006, 49:1501-1515.
30. Yang M., Ma N., Bliss D.F., Bryant G.G. Melt motion during liquid-encapsulated Czochralski crystal growth in steady and rotating magnetic field. International Journal of Heat and Mass Transfer 2007, 28:768-776.
31. Fraňa K., Stiller J., Grundmann R. Transitional and turbulent flows driven by a rotating magnetic field. Magnetohydrodynamics 2006, 42:187-197.
32. Spitzer K.H. Application of rotating magnetic fields in Czochralski crystal growth. Crystal Growth and Characterization of Materials 1999, 39-58.
33. Casal J., Amaldos J. The structure of magnetized-fluidized beds. Powder Technology 1991, 64:43-48.
34. Saxena C., Ganzha V.L., Rahman S.H., Dolidovich A.F. Heat transfer and relevant characteristics of magnetofluidized beds, Advances in Heat Transfer, 25 1994, Academic Press, New York.
35. Penchev P., Hristov J.Y. Fluidization of beds of ferromagnetic particles in a transverse magnetic field. Powder Technology 1990, 62:1-11.
36. 3 particle mixtures in a transverse rotating magnetic field. Powder Technology 2000, 107:66-78.
37. Shannon C.E., A mathematical theory of communication, The Bell Systems Technical Journal 1948, 27, 379-423 and 623-656.
38. Cover T.M., Joy A.T. Elements of Information Theory. Wiley Interscience 2006.
39. Jaynes E.T. Information theory and statistical mechanics. Physics Review 1957, 106:620-630.
40. Martyushev L.M., Seleznev V.D. Maximum entropy principle in physics, chemistry and biology. Physic Reports 2006, 426:1-45.
41. Chavanis P.H., Sommeria J. Statistical mechanics of the shallow water system. Physical Review E 2002, 65:026302.
42. Temkin D.E. Growth of the needle-crystal formed in a supercooled melt, Dokl. Akad Nauk SSSR 1960, 132:1307-1315.
43. Otwinowski H. Informational Entropy for the Model of Milling Process 2003, Uczelniane Wydawnictwa Naukowo-Dydaktyczne AGH, Kraków (in polish).
44. Wang S., Schuurmans D., Peng F., Zhao Y. Learning mixture models with the latent maximum entropy principle. Proceedings of 20th International Conference of Machine Learning (ICML-2003) 2003, (Washington DC).
45. Carson J.H. Analysis of composite sampling data using the principle of maximum entropy. Enviromental and Ecological Statistics 2001, 8:201-211.
46. Kawasaki K. Principle of maximum entropy and reduced dynamic. Journal of Statistical Physics 2006, 123:711-740.
47. Dreyer W., Kunik M. Maximum entropy principle revisited. Continuum Mechanics and Thermodynamics 1998, 10:331-347.
48. Zhukov V., Mizonov V., Filitchev P., Bernotat S. The modelling of grinding process by means of the principle of maximum entropy. Powder Technology 1998, 95:248-253.
49. Pastor-Satorras R., Wagensberg J. The maximum entropy principle and the nature of fractals. Physica A 1998, 251:291-302.
50. Akpinar S., Kavak Akpinar E. Wind energy analysis based on maximum entropy principle (MEP)-type distribution functions. Energy Conversion and Management 2007, 48:1140-1149.
51. Sankaran S., Zabaras N. A maximum entropy approach for property prediction of random mixtures. Acta Materialia 2006, 54:2265-2276.
52. Gmachowski L. A method of maximum entropy modelling the aggregation kinetics. Colloids and Surfaces A: Physicochemical and Engineering Aspects 2001, 176:151-159.
53. Otwinowski H. Energy and population balances in comminution process modelling based on the informational entropy. Powder Technology 2006, 167:33-44.
54. Masiuk S., Rakoczy R. Kinetic equation of grinding process in mixing of granular material using probability density function, transient operators and informational entropy. Chemical Engineering and Processing: Process Intensification 2008, 47:200-208.
55. Hardin B.O. Crushing of soil particles. Journal of Geotechnical Engineering ASCE 1985, 111:1177-1192.
56. Einav I. Breakage mechanics - Part I: Theory. Journal of the Mechanics and Physic of Solids 2007, 55:1274-1297.
57. Yates J.G. Fundamentals of Fluidized-Bed Chemical Processes 1983, Buttherworths, London.
58. Hristov J.Y. Fluidization of ferromagnetic particles in a magnetic field. Part 2: Field effects on preliminary gas fluidized bed. Powder Technology 1998, 97:35-44.
59. Hristov J.Y., Fachikov L. An overview of separation by magnetically stabilized beds: state-of-the-art and potential applications. China Particuology 2007, 5:11-18.
60. Zeng P., Zhou T., Yang J. Behavior of mixtures of nano-particles in magnetically assisted fluidized bed. Chemical Engineering and Processing: Process Intensification 2008, 47:101-108.
61. Yang J., Sliva A., Banerjee A., Dave R.N., Pfeffer R. Dry particle coating for improving the flow ability of cohesive powders. Powder Technology 2005, 158:21-33.
62. 3 particle mixtures in a transverse rotating magnetic field. Powder Technology 2000, 107:66-78.
63. Hristov J.Y. Magnetic field assisted fluidization-a unified approach. Part 1: Fundamentals and relevant hydrodynamics. Review in Chemical Engineering 2002, 18:295-509.
64. Hristov J.Y. Magnetically assisted gas-solid fluidization in a tapered vessel. Part 1: Magnetization-LAST mode. Particuology 2009, 7:26-34.
65. Casal J., Amaldos J. The structure of magnetized-fluidized beds. Powder Technology 1991, 64:43-48.
66. Saxena C., Ganzha V.L., Rahman S.H., Dolidovich A.F. Heat transfer and relevant characteristics of magnetofluidized beds. Advances in Heat Transfer 1994, 25:151-249.
67. Rakoczy R., Masiuk S. Influence of transverse rotating magnetic field on enhancement of solid dissolution process. AIChE Journal 2009, 10.1002/aic.12097.
68. Chou Ch.-S., Chu M.-C.h. Preparing magnetic powder using a simple attrition method containing a rotating magnetic field. Advanced Powder Technology 2005, 16:435-449.
69. Kheifets A.S., Lin I.J. Energetic approach to kinetics of batch ball milling. International Journal of Mineral Processing 1998, 54:81-97.