THERMAL SCIENCE

International Scientific Journal

MATHEMATICAL MODEL OF UNSTEADY GAS TO SOLID PARTICLES HEAT TRANSFER IN FLUIDIZED BED

ABSTRACT
The mathematical model of unsteady one-dimensional gas to particles heat transfer for non-isothermal fluidized bed with periodic heating of solid particles has been described. The method of numerical solution of governing differential equations, the algorithm and the computer program, have been presented. By using mathematical model and computer program, the temperature profiles for interstitial gas, gas in bubbles, and solid particles along the height of fluidized bed in function of time, have been determined. The results obtained on the basis of prediction method are compared to the experimental results of the authors; the satisfactory agreement has been found for interstitial gas temperature and solid particle temperature. On the basis of this comparison, the mathematical model has been verified.
KEYWORDS
PAPER SUBMITTED: 2008-09-11
PAPER REVISED: 2009-02-07
PAPER ACCEPTED: 2009-02-10
DOI REFERENCE: https://doi.org/10.2298/TSCI0901055S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2009, VOLUME 13, ISSUE 1, PAGES [55 - 68]
REFERENCES
  1. Kettenring, K. N., Manderfield, E. L., Smith, J. M., Heat and Mass Transfer in Fluidized Systems, Chem. Eng. Progr., 46 (1950), 3, pp. 139-145
  2. Walton, J. S., Olson, R. L., Levenspiel, O., Gas-Solid Film Coefficients of Heat Transfer in Fluidized Coal Beds, Ind. and Eng. Chem., 44 (1952), 6, pp. 1474-1480
  3. Shachova, N. A., Investigation of Heat Transfer in Fluidized Systems (in Russian), Candidate dissertation, MIHM, Moskow, 1954
  4. Wamsley, W. W., Johanson, L. N., Fluidized Bed Heat Transfer, Chem. Eng. Progres, 50 (1954), 7, pp. 347-355
  5. Heertjes, P. M., McKibbins, S. W., The Partial Coefficients of Heat Transfer in a Drying Fluidized Bed., Chem. Eng. Sci., 5 (1956), 4, pp. 161-167
  6. Sharlovskaya, M. S., Investigation of Heat Transfer in Fluidized Bed by Using the Quasi-Stationary Method (in Russian), Reports of Siberian Branch of AS SSSR, No. 7 (1958), pp. 62-74
  7. Sharlovskaya, M. S., Convective Heat Transfer in Fluidized Bed (in Russian), Candidate dissertation, Tomsk Polytechnique Institute, Tomsk, 1959
  8. Richardson, J. F., Ayers, P., Heat Transfer between Particles and a Gas in a Fluidized Bed, Trans. Instn. Chem. Engrs., 37 (1959), 6, pp. 314-322
  9. Donnadieu, G. A., Study on Particle to Fluid Heat Transfer in Fluidized Media (in French), Jour. rech. du CNRS, (1960), 51, pp. 159-169
  10. Zenz, F. A., Othmer, D. F., Fluidization and Fluid-Particle Systems, Reinchold Publ. Co., New York, USA, 1960
  11. Kazakova, E. A., Denega, A. I., Musicenko, L. V., The Air to Granulated Particles Heat Transfer in Fluidized Bed (in Russian), Journal of Engineering Physics, VI (1963), 4, pp. 51-55
  12. Ciesielczyk, W., Drying Kinetics of Solid Particles in Two-Phase Fluidization System (in Polish), Ph. D., Krakow, Poland, 1980
  13. Barker, J. J., Heat Transfer in Fluidized Beds, Ind. and Eng. Chem., 57 (1965), 5, pp. 33-39
  14. Frantz, J. F., Fluid-to-Particle Heat Transfer in Fluidized Beds, Chem. Eng. Progr., 57 (1961), 7, pp. 35-42
  15. Stojiljkovich, M. M., Determination of the Gas to Solid Particles Heat Transfer Coefficient in the Fluidized Bed (in Serbian), Ph. D. thesis, Faculty of Mechanical Engineering, University of Niš, Niš, Serbia, 1994
  16. Kunii, D., Levenspiel, O., Fluidization Engineering, John Wiley & Sons Inc., New York, USA, 1969
  17. Kunii, D., Levenspiel, O., Bubbling Bed Model for Kinetic Processes in Fluidized Beds, Ind. Eng. Chem. Process Design and Development, 7 (1968), 4, pp. 481-492
  18. Patankar, S., Numerical Heat Transfer and Fluid Flow, Hemisphere Publ., Co., New York, USA, 1980
  19. Todes, O. M., Citovich, O. B., Apparatuses with Fluidized Bed (in Russian), Chemistry, Leningrad, USSR, 1981
  20. Bukur, D. B., Wittmann, C. V., Amundson, N. R., Analysis of a Model for a Non-Isothermal Continuous Fluidized Bed Catalytic Reactor, Chem. Eng. Sci., 29 (1974), 5, pp.1173-1192
  21. Darton, R. C., et al., Bubble Growth Due to Coalescence in Fluidised Beds, Trans. I. Chem. Eng., 55 (1977), 4, pp. 274-280

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