A new model for the drying of droplets containing suspended solids

Chemical Engineering Science

Volumn 64, Issue 4, 2009, Pages 628-637

  Handscomb, C S ^a   Kraft, M ^a   Bayly, A E ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b PROCTER AND GAMBLE COMPANY   (United States)

Author keywords

Diffusion; Drying; Mathematical modelling and simulation; Particle formation; Population balance

Indexed keywords

DEWATERING; DIFFUSION; DROP FORMATION; DROPS; METHOD OF MOMENTS; POPULATION STATISTICS; SILICA; SODIUM;

COLLOIDAL SILICAS; DIFFUSION COEFFICIENTS; DROPLET DRYING; DRYING; EXPERIMENTAL DATUM; MATHEMATICAL MODELLING AND SIMULATION; MOMENT METHODS; NEW MODELS; PARTICLE FORMATION; POPULATION BALANCE; SHELL FORMATIONS; SIZE DEPENDENTS; SODIUM SULPHATE; SUSPENDED SOLIDS;

MATHEMATICAL MODELS;

EID: 58949098602     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2008.04.051     Document Type: Article

References (40)

1. Abramzon B., and Sirignano W.A. Droplet vaporization model for spray combustion calculations. International Journal for Heat and Mass Transfer 32 (1989) 1605-1618
2. Bird R.B., Stewart W.E., and Lightfoot E.N. Transport Phenomena. first ed (1960), Wiley, New York
3. Blei, S., Sommerfeld, M., 2006. Consideration of particle interactions in spray dryer modelling: an extended Euler-Lagrange approach. In: Proceedings of the 15th International Drying Symposium (IDS 2006), August, pp. 307-314.
4. Chen X., and Xie G. Fingerprints of the drying behaviour of particulate or thin layer food materials established using a reaction engineering model. Transactions of the Institute of Chemical Engineers-London 75 C (1997) 213-222
5. Chen, X.D., Lin, S.X.Q., 2004. The reaction engineering approach to modelling drying of milk droplets. In: Proceedings of the 14th International Drying Symposium August C 1644-1651.
6. Cheong H., Jeffreys G., and Mumford C. A receding interface model for the drying of slurry droplets. A.I.Ch.E. Journal 32 8 (1986) 1334-1346
7. de Souza A.A.U., and Whitaker S. The modelling of a textile dyeing process utilizing the method of volume averaging. Brazilian Journal of Chemical Engineering 20 4 (2003) 445-453
8. Dirksen J.A., and Ring T.A. Fundamentals of crystallization: kinetic effects on particle size distributions and morphology. Chemical Engineering Science 46 10 (1991) 2389-2427
9. Efremov G.I. Drying kinetics derived from diffusion quation with flux-type boundary conditions. Drying Technology 20 1 (2002) 55-66
10. Elperin T., and Krasovitov B. Evaporation of liquid droplets containing small solid particles. International Journal of Heat and Mass Transfer 38 12 (1995) 2259-2267
11. Farid M. A new approach to modelling of single droplet drying. Chemical Engineeering Science 58 (2003) 2985-2993
12. Fletcher, D., Guo, B., Harvie, D., Langrish, T., Nijdam, J., Williams, J., 2003. What is important in the simulation of spray dryer performance and how do current CFD models perform? In: Third International Conference on CFD in the Minerals and Process Industries, CSIRO Australia, CSIRO Australia, pp. 357-364.
13. Frenklach M. Method of moments with interpolative closure. Chemical Engineering Science 57 12 (2002) 2229-2239
14. Hecht J.P., and King C.J. Spray drying: influence of developing drop morphology on drying rates and retention of volatile substances. 2. Modeling. Industrial Engineering Chemistry 39 (2000) 1766-1774
15. Huang, L., Kumar, K., Mujumdar, A.S., 2004. Computational fluid dynamic simulation of droplet drying in a spray dryer, In: Proceedings of the 14th International Drying Symposium, vol. A, August 2004, pp. 326-332.
16. Huntington D.H. The influence of the spray drying process on product properties. Drying Technology 22 6 (2004) 1261-1287
17. Kadja M., and Bergeles G. Modelling of slurry droplet drying. Applied Thermal Engineering 23 (2003) 829-844
18. Langrish T., and Fletcher D. Prospects for the modelling and design of spray dryers in the 21st century. Drying Technology 21 2 (2003) 197-215
19. Langrish T., and Kockel T. The assessment of a characteristic drying curve for milk powder for use in computational fluid dynamics modelling. Chemical Engineering Journal 84 (2001) 69-74
20. Lee A., and Law C. Gasification and shell characteristics in slurry droplet burning. Combustion and Flame 85 1 (1991) 77-93
21. Lin S.X.Q., and Chen X.D. Prediction of air-drying of milk droplet under relatively high humidity using the reaction engineering approach. Drying Technology 23 7 (2005) 1395-1406
22. Masters K. Spray Drying Handbook. fifth ed (1992), Longman Scientific and Technical, UK
23. NAG Fortran Library Routine Document: D03PFF. NAG (Numerical Algorithms Group).
24. Nagata, S., 1975. Mixing: Principles and Applications, in: a Halsted Press book. In: Kodansha Scientific Books, Kodansha, Tokyo, 1st edition.
25. Nešić S., and Vodnik J. Kinetics of droplet evaporation. Chemical Engineering Science 46 2 (1991) 527-537
26. Oakley D.E. Spray dryer modeling in theory and practice. Drying Technology 22 6 (2004) 1371-1402
27. Pennington S.V., and Berzins M. New nag library software for first-order partial differential equations. ACM Transactions Mathematical Software 20 1 (1994) 63-69
28. Porras, G.O., Couture, F., Roques, M., 2006. An Eulerian convection-diffusion model for convection drying of a deformable media composed of a binary liquid. In: Proceedings of the 15th International Drying Symposium (IDS August 2006), pp. 299-306.
29. Ranz W., and Marshall W. Evaporation from drops. Chemical Engineering Progress 48 141 (1952) 173
30. Rosenblatt D., Marks S.B., and Pigford R.L. Kinetics of phase transitions in the system sodium sulfate-water. Industrial Engineering Chemistry 23 2 (1984) 143-147
31. Sano Y., and Keey R. The drying of a spherical partical containing colloidal material into a hollow sphere. Chemical Engineering Science 37 6 (1982) 2985-2993
32. Seydel P., Blomer J., and Bertling J. Modeling particle formation at spray drying using population balances. Drying Technology 24 2 (2006) 137-146
33. Silva M.A., Kerkhof P.J.A.M., and Coumans W.J. Estimation of effective diffusivity in drying of heterogeneous porous media. Industrial and Engineering Chemistry Research 39 5 (2000) 1443-1452
34. Sinnott R.K., Coulson J.M., and Richardson J.F. Coulson and Richardson's chemical engineering: chemical engineering design, vol. 6, Coulson and Richardson's Chemical Engineering. third ed (1999), Butterworth-Heinemann Ltd.
35. Slattery J.C. Advanced Transport Phenomena. Cambridge Series in Chemical Engineering. first ed (1999), Cambridge University Press, Cambridge
36. Verdurmen R., Menn P., Ritzert J., Blei S., Nhumaio G., Sorensen T.S., Gunsing G., Straatsma J., Verschueren M., Sibeijn M., Schulte G., Fritsching U., Bauckhage K., Tropea C., and Sommerfeld M. Simulation of agglomeration in spray drying installations: the edecad project. Drying Technology 22 6 (2004) 1403-1461
37. Walton D., and Mumford C. Spray dried products-characterization of particle morphology. T I Chem Eng-Lond 77 A (1999) 21-37
38. Werner, S.R.L., 2005. Air Suspension Coating of Dairy Powders: a Micro-Level Process Approach. Ph.D. Thesis, Massey University, Palmerston North, New Zealand.
39. Wetmore F.E.W., and LeRoy D.J. Principles of phase equilibria, International Chemical Series. first ed (1951), McGraw-Hill, New York
40. Whitaker S. The equations of motion in porous media. Chemical Engineering Science 21 (1966) 291-300