Mathematical modeling and design of layer crystallization in a concentric annulus with and without recirculation

AIChE Journal

Volumn 59, Issue 4, 2013, Pages 1308-1321

  Zhou, Lifang ^a   Su, Min ^a   Benyahia, Brahim ^a   Singh, Aniruddh ^a   Barton, Paul I ^a   Trout, Bernhardt L ^a   Myerson, Allan S ^a   Braatz, Richard D ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

Crystal growth; Design; Distributed parameter systems; Process modeling; Solution layer crystallization

Indexed keywords

COOLING TEMPERATURE; COUPLED PARTIAL DIFFERENTIAL EQUATIONS; CRYSTALLIZATION PROCESS; DISTRIBUTED PARAMETER SYSTEMS; EXPERIMENTAL DATUM; PROCESS MODELING; RE-CIRCULATION LOOPS; SOLUTION LAYERS;

CRYSTAL GROWTH; CRYSTALLIZATION KINETICS; DESIGN;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 84875370306     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.14049     Document Type: Article

References (40)

1. Beck R, Häkkinen A, Malthe-Sørenssen D, Andreassen J-P. The effect of crystallization conditions, crystal morphology and size on pressure filtration of L-glutamic acid and an aromatic amine. Sep Purif Technol. 2009;66(3):549-558.
2. Glade H, Ulrich J. Melt Crystallization: Fundamentals, Equipment and Applications. Aachen, Germany: Shaker; 2003.
3. Ulrich J, Bülau HC. 7-Melt crystallization. In: Myerson AS, editor. Handbook of Industrial Crystallization, 2nd ed. Woburn: Butterworth-Heinemann, 2002:161-179.
4. Parisi M, Chianese A. The crystal layer growth from a well-mixed melt. Chem Eng Sci. 2001;56(14):4245-4256.
5. Rich A, Mandri Y, Mangin D, Rivoire A, Abderafi S, Bebon C, Semlali N, Klein J-P, Bounahmidi T, Bouhaouss A, Veesler S. Sea water desalination by dynamic layer melt crystallization: parametric study of the freezing and sweating steps. J Cryst Growth. 2012;342(1):110-116.
6. Flesland O. Freeze concentration by layer crystallization. Drying Technol. 1995;13(8-9):1713-1739.
7. Peters-Erjawetz S, Ulrich J, Tiedtke M, Hartel R. Milk fat fractionation by solid-layer melt crystallization. J Am Oil Chem Soc. 1999;76(5):579-584.
8. Guardani R, Neiro SMS, Bülau H, Ulrich J. Experimental comparison and simulation of static and dynamic solid layer melt crystallization. Chem Eng Sci. 2001;56(7):2371-2379.
9. Fukui K, Maeda K. Direct numerical simulation of solid-layer crystallization from binary melt. J Cryst Growth. 2002;235(1-4):633-639.
10. Dai W, Feng Z, Nassar R, Palmer J. A combined analytic and numerical method for predicting the solid-layer growth from melt crystallization. Numer Heat Transfer, Part A: Appl. 2003;44(6):577-590.
11. Ossipov P. Optimization of heat-mass transfer at continuous solid layer crystallization on a belt. Appl Math Modell. 1999;23(5):419-436.
12. Wallert C, Marquardt W, Leu JT, Strube J. Design and optimization of layer crystallization processes. In: Luis P, Antonio E, editors. Computer Aided Chemical Engineering, Vol. 20. Oxford, UK: Elsevier, 2005:871-876.
13. Aumock NM. A Process for Separation by Semi-Continuous Counter-Current Crystallization. Cambridge, MA: Department of Chemical Engineering, Massachusetts Institute of Technology, 2011.
14. Rai BN, Sinha AK, Ghosh UK, Gupta SN, Upadhyay SN. Forced convective mass transfer in annuli. Chem Eng Commun. 1988;68(1):15-30.
15. Turitto VT. Mass transfer in annuli under conditions of laminar flow. Chem Eng Sci. 1975;30(5-6):503-509.
16. Houzelot J-L, Villermaux J. Mass transfer in annular cylindrical reactors in laminar flow. Chem Eng Sci. 1977;32(12):1465-1470.
17. Ross TK, Wragg AA. Electrochemical mass transfer studies in annuli. Electrochim Acta. 1965;10(11):1093-1106.
18. Mobarak AA, Farag HA, H. Sedahmed G. Mass transfer in smooth and rough annular ducts under developing flow conditions. J Appl Electrochem. 1997;27(2):201-207.
19. Ould-Rouis M, Salem A, Legrand J, Nouar C. Etude numérique et expérimentale des transferts de matière et de quantité de mouvement dans un écoulement annulaire laminaire non établi. Int J Heat Mass Transfer. 1995;38(6):953-967.
20. Ghosh UK, Upadhyay SN. Mass transfer to newtonian and non-newtonian fluids in short annuli. AIChE J. 1985;31(10):1721-1724.
21. Guardani R, Belline A. Application of mathematical modelling in a two-component layer crystallisation process. Chem Eng Technol. 1997;20(7):495-501.
22. Esteban Duran J, Taghipour F, Mohseni M. CFD modeling of mass transfer in annular reactors. Int J Heat Mass Transfer. 2009;52(23-24):5390-5401.
23. Dirker J, Meyer JP. Heat transfer coefficients in concentric annuli. J Heat Transfer. 2002;124(6):1200-1203.
24. Dirker J, Meyer JP. Convective heat transfer coefficients in concentric annuli. Heat Transfer Eng. 2005;26(2):38-44.
25. Batra RL, Sudarsan VR. Laminar flow heat transfer in the entrance region of concentric annuli for power law fluids. Comput Method Appl Mech Eng. 1992;95(1):1-16.
26. Hatton AP, Quarmby A. Heat transfer in the thermal entry length with laminar flow in an annulus. Int J Heat Mass Transfer. 1962;5(10):973-980.
27. Malon A, Muller T. A short method to compute Nusselt numbers in rectangular and annular channels with any ratio of constant heat rate. J Eng Gas Turbines Power. 2012;134(3):032902.
28. Viskanta R. Heat transfer with laminar flow in a concentric annulus with prescribed wall temperatures. Appl Sci Res. 1964;12(6):463-476.
29. Mitrović J, Maletić B. Effect of thermal asymmetry on heat transfer in a laminar annular flow. Chem Eng Technol. 2005;28(10):1144-1150.
30. Kirkpatrick JP, McIntire LV, Characklis WG. Mass and heat transfer in a circular tube with biofouling. Water Res. 1980;14(2):117-127.
31. Al-Darbi MM, Agha KQ, Islam MR. Estimation of the substrate concentration profiles in petroleum pipelines containing biofilms. Pet Sci Technol. 2006;24(11):1249-1265.
32. Chianese A, Santilli N. Modelling of the solid layer growth from melt crystallization-the integral formulation approach. Chem Eng Sci. 1998;53(1):107-111.
33. Bird RB, Stewart WE, Lightfoot EN. Transport Phenomena, 2nd ed. New York: John Wiley & Sons; 2007.
34. Quon JL, Zhang H, Alvarez A, Evans J, Myerson AS, Trout BL. Continuous crystallization of Aliskiren hemifumarate. Cryst Growth Des. 2012;12(6):3066-3044.
35. Nývlt J. Nucleation and growth rate in mass crystallization. Prog Cryst Growth Characterization. 1984;9(3-4):335-370.
36. Wilke CR, Chang P. Correlation of diffusion coefficients in dilute solutions. AIChE J. 1955;1(2):264-270.
37. Lin Y, Shi Z, Wildfong PLD. Thermal conductivity measurements for small molecule organic solid materials using modulated differential scanning calorimetry (MDSC) and data corrections for sample porosity. J Pharm Biomed Anal. 2010;51(4):979-984.
38. Glicksman M, Schaefer R, Ayers J. Dendritic growth-A test of theory. Metall Mater Trans A. 1976;7(11):1747-1759.
39. Brown RA. Theory of transport processes in single crystal growth from the melt. AIChE J. 1988;34(6):881-911.
40. Bergman TL, Lavine AS, Incropera FP, DeWitt DP. Fundamentals of Heat and Mass Transfer. Hoboken, NJ: John Wiley & Sons, 2011.