A computational model for finite element analysis of the freeze-drying process

Computer Methods in Applied Mechanics and Engineering

Volumn 148, Issue 1-2, 1997, Pages 105-124

  Mascarenhas, W J ^a   Akay, H U ^a,b   Pikal, M J ^c  

^a Technalysis   (United States)

^b Indiana University Purdue University Indianapolis   (United States)

^c ELI LILLY AND COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; DRYING; FINITE ELEMENT METHOD; FREEZING; NUMERICAL METHODS; POROUS MATERIALS; PRESSURE; SPECIFIC HEAT; SUBLIMATION; TEMPERATURE; VAPORS; WATER;

FREEZE DRYING; LANGRANGIAN-EULERIAN METHOD;

MATHEMATICAL MODELS;

EID: 0031210660     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)00078-3     Document Type: Article

References (29)

1. M.J. Pikal, Freeze-drying of proteins Part 1: Process design, BioPharm 3(8) (1990) 18-27.
2. M.J. Pikal, Freeze-drying of proteins Part 2: Formulation selection, BioPharm 3(9) (1990) 26-30.
3. G. Lusk, M. Karel and S.A. Goldblith, Thermal conductivity of some freeze dried fish, Food Technol. 18 (1964) 1625.
4. J.P. Clark and C.J. King, Convective freeze drying in mixed or layered beds, Chem. Engrg. Progress Symp. Series 67(108) (1971) 102.
5. C.J. King, Freeze-Drying of Foods (CRC Press, Cleveland, OH, 1971) 1-54.
6. C.C. Cox and D.F. Dyer, Freeze-drying of spheres and cylinders, Trans. ASME C (February 1972) 57.
7. W.M. Massey and J.E. Sunderland, Heat and mass transfer in semi-porous channels with application to freeze-drying, Int. J. Heat Mass Trans. 15 (1972) 493.
8. D. Meo, Masters Thesis, University of Rochester, New York, 1972.
9. R.F. Greenfield, Cyclic-pressure freeze drying, Chem. Engrg. Sci. 29 (1974) 2115.
10. J.D. Mellor, Fundamentals of Freeze Drying (Academic Press, London, UK, 1978).
11. A.I. Liapis and R.J. Litchfield, Optimal control of a freeze-dryer - I: Theoretical development and quasi steady state analysis, Chem. Engrg. Sci. 34 (1979) 975-981.
12. T-Y.R. Sheng and R.E. Peck, Rates for freeze drying, AIChE Symp. Series 73(163) (1977) 124.
13. R.J. Litchfield and A.I. Liapis, An adsorption-sublimation model for a freeze dryer, Chem. Engrg. Sci. 34 (1979) 1085.
14. A.I. Liapis and J.M. Marchello, Advances in the modelling and control of freeze drying, in: A.S. Majumdar, ed., Advances in Drying, 3 (Hemisphere Publishing Corporation, Washington, DC, 1984) 217-244.
15. M.M. Tang, A.I. Liapis and J.M. Marchello, A multi-dimensional model describing the lyophilization of a pharmaceutical product in a vial, in: A.S. Mujumdar, ed., Proc. Fifth Int. Drying Symposium, 1 (Hemisphere Publishing Corporation, NY, 1986) 57-64.
16. W.J. Ferguson, R.W. Lewis and L. Tomosy, A finite element analysis of freeze-drying of a coffee sample, Comput. Methods Appl. Mech. Engrg. 108 (1993) 341-352.
17. A.I. Liapis and R.J. Litchfield, Numerical solution of moving boundary transport problems in finite media by orthogonal collocation, Comput. Chem. Engrg. 3 (1979) 615-621.
18. J. Villadsen and M.L. Michelsen, Solution of Differential Equation Models by Polynomial Approximation (Prentice-Hall, Englewood Cliffs, NJ, 1977).
19. C.D. Holland and A.I. Liapis, Computer Methods for Solving Dynamic Separation Problems (McGraw Hill Book Company, New York, NY, 1983).
20. M.J. Millman, The modeling and control of freeze dryers, Doctors Thesis, University of Missouri-Rolla, Rolla, MI, 1984.
21. M.J. Millman, A.I. Liapis and J.M. Marchello, An analysis of the lyophitization process using a sorption-sublimation model and various operational policies, AIChE J. 31 (1985) 1594-1604.
22. M.J. Pikal, S. Shah, M.L. Roy and R. Putman, The secondary drying stage of freeze-drying: Drying kinetics as a function of temperature and chamber pressure, Int. J. Pharmaceut. 60 (1990) 203-217.
23. J. Donea, Arbitrary Lagrangian-Eulerian finite element methods, in: T. Belytschko and T.J.R. Hughes, eds., Computational Methods for Transient Analysis (North Holland, Amsterdam, 1983) 473-516.
24. T. Belytschko and J.M. Kennedy, Computer models for subassembly simulation, Nucl. Engrg. Des. 49 (1978) 17-38.
25. W.K. Liu, H. Chang, J.S. Chen and T. Belytschko, Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua, Comput. Methods Appl. Mech. Engrg. 68 (1988) 259-310.
26. S. Ghosh and N. Kikuchi, An arbitrary Lagrangian-Eulerian finite element method for large deformation analysis of elastic-viscoplastic solids, Comput. Methods Appl. Mech. Engrg. 86 (1991) 127-188.
27. S. Ghosh, Arbitrary Lagrangian-Eulerian finite element analysis of large deformation in contacting bodies, Int. J. Numer. Methods Engrg. 33 (1992) 1891-1925.
28. E. Hairer, Unconditionally stable explicit methods for parabolic equations, Numer. Math. 35 (1980) 57-68.
29. G. Zografi and M.J. Kontny, The interactions of water with cellulose- and starch-derived pharmaceutical excipients, Pharmaceut. Res. 3(4) (1986) 187-194.