Modelling and control of natural convection in canned foods

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 63, Issue 3, 1999, Pages 247-265

  Alvarez Vazquez L J ^a   Martinez A ^a  

^a UNIVERSITY OF VIGO   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CANNING; CONSTRAINT THEORY; CONTROL THEORY; ENERGY EFFICIENCY; MATHEMATICAL MODELS; MICROORGANISMS; NATURAL CONVECTION; NAVIER STOKES EQUATIONS; OPTIMAL CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; STERILIZATION (CLEANING);

CANNED FOODS;

FOOD PRODUCTS;

EID: 0343953398     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/63.3.247     Document Type: Article

References (28)

1. ABERGEL, F. & TEMAM, R. 1990 On some control problems in fluid mechanics. Theoret. Comput. Fluid Dynamics 1, 303-325.
2. ABERGEL, F. & CASAS, E. 1993 Some optimal control problems of multistate equations appearing in fluid mechanics, RAIRO Modél. Math. Anal. Numér. 27, 223-247.
3. BANGA, J. R., PEREZ, R. I., GALLARDO, J. M., & CASARES, J. J. 1991 Optimization of the thermal processing of conduction-heated canned foods: study of several objective functions. J. Food Engineering 14, 25-51.
4. BERMUDEZ, A. & MARTINEZ, A. 1990 Optimal control of industrial sterilization of canned foods. In Control of Distributed Parameter Systems (ed. Amouroux, M. and El Jai, A.). Oxford: Pergamon Press.
5. BERMUDEZ, A. & MARTINEZ, A. 1994 A state constrained optimal control problem related to the sterilization of canned foods. Automatica, 30, 319-329.
6. BOCCARDO, L. & GALLOUËT, T. 1989 Non-linear elliptic and parabolic equations involving measure data. J. Funct. Anal. 87, 149-169.
7. BONNANS, J. F. & CASAS, E. 1988 Controle de systèmes elliptiques semilineaires comportant des contraintes distribuées sur l'etat. In Nonlinear Partial Differential Equations and Their Applications (ed. Brezis, H. and Lions, J. L.). London: Pitman.
8. CASAS, E. 1986 Control of an elliptic problem with pointwise state constraints. SIAM J. Control Optim. 24, 1309-1318.
9. CASAS, E. 1993 An optimal control problem governed by the evolution Navier-Stokes equations. In Optimal Control of Viscous Flows (ed. S. Sritharan). Philadelphia: SIAM.
10. CASAS, E. 1994 The Navier-Stokes equations coupled with the heat equation: analysis and control. Control Cybernet. 23, 605-620.
11. DATTA, A. K. 1985 Numerical modeling of natural convection and conduction heat transfer in canned foods with application to on-line process control. Ph.D. dissertation, University of Florida.
12. EKELAND, I. & TEMAM, R. 1976 Convex Analysis and Variational Problems. Amsterdam: North-Holland.
13. ENGELMAN, M. & SANI, R. L. 1983 Finite element simulation of an in-package pasteurization process. Num. Heat Transfer 6, 41-61.
14. FATTORINI, H. & SRITHARAN, S. 1992 Existence of optimal controls for viscous flow problems. Proc. R. Soc. 39, 81-102.
15. FATTORINI, H. & SRITHARAN, S. 1994 Necessary and sufficient conditions for optimal control in viscous flow problems. Proc. R. Soc. Edinb. A 124, 211-251.
16. HIDDINK, J. 1975 Natural Convection Heating of Liquids with Reference to Sterilization of Canned Food. Agric. Res. Report 839, Center for Agric. Publishing and Documentation, Wageningen, Netherlands.
17. KUMAR, A. 1990 Modeling heat transfer in thermal and aseptic processing of liquid food product. Ph.D. Dissertation, University of Minnesota.
18. KUMAR, A., BHATTACHARYA, M., & BLAYLOCK, J. 1990 Numerical simulation of natural convection heating of canned thick viscous liquid food products. J. Food Sci. 55, 1403-1411.
19. LADYZHENSKAYA, O. A. 1969 The Mathematical Theory of Viscous Incompressible Flow. New York: Gordon & Breach.
20. LADYZHENSKAYA, O. A., SOLONNIKOV, V. A., & URALTSEVA, N. N. 1968 Linear and Quasilinear Equations of Parabolic Type. Providence: American Mathematical Society.
21. LIONS, J. L. 1969 Quelques Methodes de Resolution des Problemes aux Limites non Lineaires. Paris: Dunod.
22. MARTINEZ, A. 1991 Dos problemas de control optimo con restricciones sobre el estado. Ph.D. Dissertation, University of Santiago de Compostela, Spain.
23. NADKARNI, M. & HATTON, T. A. 1985 Optimal nutrient retention during the thermal processing of conduction-heated canned foods: Application of the distributed minimum principle. J. Food Sci. 50, 1312-1321.
24. SAGUY, I. & KAREL, M. 1979 Optimal retort temperature profile in optimizing thiamine retention in conduction type heating of canned foods. J. Food Sci. 44, 1485-1490.
25. SRITHARAN, S. 1991 Dynamic programming of the Navier-Stokes equations. Systems Control Lett. 16, 299-307.
26. SRITHARAN, S. 1992 An optimal control problem in exterior hydrodynamics. Proc. R. Soc. Edinb. A 121, 5-32.
27. STEVENS, P. M. 1972 Lethality calculations including effects of product movement, for convection heating and broken-heating foods in still-cook retorts. Ph.D. Dissertation, University of Massachusetts,.
28. TEMAM, R. 1979 Navier-Stokes Equations. Amsterdam: North-Holland.