Modeling of Particle Concentration Distribution in a Fluidized Bed by Means of the Theory of Markov Chains

References

• Berthiaux , H. , and V. Mizonov . 2004 . Applications of Markov chains in particulate process engineering: A review . Canadian Journal of Chemical Engineering 85 : 1143 – 1168 .
   Google Scholar
• Berthiaux , H. , V. Mizonov , and V. Zhukov . 2005 . Application of the theory of Markov chains to model different processes in particle technology . Powder Technology 157 : 128 – 137 .
   Web of Science ®Google Scholar
• Catak , M. , N. Bas , K. Cronin , K. , D. Tellez-Medina , E. P. Byrne , and J. J. Fitzpatrick . 2010 . Markov chain modeling of fluidized bed granulation . Chemical Engineering Journal 164 : 403 – 409 .
   Web of Science ®Google Scholar
• Dehling , H. G. , C. Dechsiri , T. Gottschalk , P. C. Wright , A. C. Hoffmann . 2007 . A stochastic model for mixing and segregation in slugging fluidized beds . Powder Technology 171 : 118 – 125 .
   Web of Science ®Google Scholar
• Dehling , H. G. , A. C. Hoffmann , and H. W. Stuut . 1999 . Stochastic models for transport in a fluidized bed . SIAM Journal on Applied Mathematics 60 : 337 – 358 .
   Web of Science ®Google Scholar
• Gao , H. , and Y. Fu . 2011 . Mean residence time of Markov processes for particle transport in fludized bed reactors . Journal of Mathematical Chemistry 49 : 444 – 456 .
   Web of Science ®Google Scholar
• Ghasemi , F. , and M. Sahimi . 2011 . Analysis of pressure fluctuations in fluidized beds. II. Reconstruction of the data by the Fokker-Planck and Langevin equations . Chemical Engineering Science 66 : 2637 – 2645 .
   Web of Science ®Google Scholar
• Huilin , L. , H. Yurong , and D. Gidaspow . 2003 . Hydrodynamic modeling of binary mixture in a gas bubbling fluidized bed using the kinetic theory of granular flow . Chemical Engineering Science 58 : 1197 – 1205 .
   Web of Science ®Google Scholar
• Khani , M. H. 2011 . Models for prediction of hydrodynamic characteristics of gas–solid tapered and mini-tapered fluidized beds . Powder Technology 205 : 224 – 230 .
   Web of Science ®Google Scholar
• Sakai , M. , H. Takahashi , C. C. Pain , J.-P. Latham , and J. Xiang . 2012 . Study on a large-scale discrete element model for fine particles in a fluidized bed . Advanced Powder Technology 23 : 673 – 681 .
   Web of Science ®Google Scholar
• Todes , O. M. , and O. B. Tzitovitch . 1981 . Apparatus with Fluidized Bed . Lenigrad : Chemistry Publishers . (in Russian)
   Google Scholar
• Zang , Y. , and L. Wang . 2006 . A stochastic model of bubble distribution in gas-solid fluidized beds . Journal of University of Science and Technology Beijing 13 : 222 – 225 .
   Google Scholar
• Article presented at CHoPS 2012—7th International Conference for Conveying and Handling of Particulate Solids, Friedrichshafen, Germany, September 10–13, 2012.
   Google Scholar
• Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/upst.
   Google Scholar