Continuous Thermomechanical Models using Volume-Averaging Theory

Modern Drying Technology

Volumn 1, Issue , 2011, Pages 103-124

  Couture, Frédéric ^a   Bernada, Philippe ^a   Roques, Michel A ^a  

^a UNIVERSITÉ DE PAU ET DES PAYS DE L'ADOUR   (France)

Author keywords

Liquid pressure; Simulation; Thermomechanical models; Volume averaging theory

Indexed keywords

EID: 52249119545     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527631629.ch3     Document Type: Chapter

References (33)

1. Biot M. A., 1941. General theory of threedimensional consolidation. J. Appl. Phys. 12: 155-164.
2. Biot M. A., 1955. Theory of elasticity and consolidation for a porous anisotropic solid. J. Appl. Phys. 26(2): 182-185.
3. Bogdanis E., 2001. Modeling of heat and mass transport during drying of an elastic or viscoelastic medium and resolution by the finite-element methods. PhD Thesis, Université de Pau et des Pays de l'Adour, France.
4. Chausi B., Couture F., Roques M. A., 2001a. Modeling of mass transport during dewatering-impregnation-soaking. Proceedings of the 2nd Inter-American Drying Conference (IADC) Veracruz, Mexique, 08-10/07.
5. Chausi B., Couture F., Roques M. A., 2001b. Modeling of multicomponent mass transport in deformable media. Application to dewatering impregnation soaking. Dry. Technol. 19(9): 2081-2101.
6. Christensen R. M., 1971. Theory of Viscoelasticity-An Introduction. Academic Press, New York and London.
7. Coussy O., Dormieux L., Detournay E., 1998. From mixture theory to Biot's approach for porous media. Int. J. Solids Struct. 35: 4619-4635.
8. Ferry J. D., 1970. Viscoelastic Properties of Polymers. 2nd ed., John Wiley and Sons, New York.
9. Flügge W., 1967. Viscoelasticity. Blaisdell Publishing Company, Waltham (Mass.), Toronto, London.
10. Haghighi K., Segerlind L. J., 1988. Modeling Simultaneous Heat-and Mass-Transfer in an Isotropic Sphere-A Finite-Element Approach. Trans. ASAE 31(2): 629-637.
11. Hammerle J. R., 1972. Theoretical analysis of failure in a viscoelastic slab subjected to temperature and moisture gradients. Trans. ASAE 15(5): 960-965.
12. Hammerle J. R., Mohsenin N. N., White R. K., 1971. The rheological properties of corn horny endosperm. ASAE 6(2): 60-72.
13. Hasatani M., Itaya Y., 1996. Drying-induced strain and stress-a review. Dry. Technol. 14(5): 1011-1040.
14. Hasatani M., Itaya Y., Hayakawa K., 1992. Fundamental study on shrinkage of formed clay during drying-viscoelastic strain-stress and heat moisture transfer. Dry. Technol. 10(4): 1013-1036.
15. Irudayaraj J., Haghighi K., 1993. Stressanalysis of viscoelastic materials during drying. 1. theory and finite-element formulation. Dry. Technol. 11(5):901-927.
16. Itaya Y., 1997. A numerical study of transient deformation and stress behavior of a clay slab during drying. Dry. Technol. 15(1): 1-21.
17. Jomaa W., Puiggali J. R., 1991. Drying of shrinking materials: Modeling with shrinkage velocity. Dry. Technol. 9(5): 1271-1293.
18. Kechaou N., Roques M. A., 1989. A variable diffusivity model for drying of highly deformable materials, Drying 89, edited by A. S.Mujumdar, Hemisphere Publishing, Washington D.C., 332-338.
19. Ketelaars A., 1992. Drying Deformable Media-Kinetics shrinkage and stresses. Ph.D Technische Universiteit Eindhoven, Eindhoven, The Netherlands.
20. Marle C. M., 1967. Ecoulements monophasiques en milieu poreux. Rev. Inst. Fr. Petrole 22: 1471-1509.
21. Mercier F., 1996. Séchage de gel d'alumine: Mai{dotless}̂trise de la texture de supports de catalyseurs. Thèse de l'Université de Pau et des Pays de l'Adour, France.
22. Mercier F., Puiggali J. R., Roques M. A., Brunard N., Kolenda F., 1998. Convective and micro-wave drying of alumina beads. Modeling of shrinkage. 3rd World Congress on Particle Technology, 06-09/07, Brighton, UK.
23. Mrani I., Bénet J. C., Fras G., 1995. Transport of water in a biconstituent elastic medium. Appl. Mech. Rev. 48(10): 717-721.
24. Quintard M., Whitaker S., 1993. One-and two-equation models for transient diffusion processes in two-phase system. Adv. Heat Transfer 23: 369-464.
25. Rao S. S., 1989. The Finite-element Method in Engineering, Pergamon Press (2), Oxford.
26. Rao V. N. M., Hamann D. D., Hammerle J. R., 1975. Stress analysis of a viscoelastic sphere subject to temperature and moisture gradients. J. ASAE 20: 283-293.
27. Sfair A. L., Couture F., Laurent S., Roques M. A., 2004. Modeling of heat and mass transport in two-phase media by considering liquid pressure. Dry. Technol. 22(1&2): 81-90.
28. Sih G. C., Michopoulos J. G., Chou S. C., 1986. Hygrothermoelasticity. Martinus Nijhoff Publishers, Dordrecht, The Netherlands.
29. Slattery J. C., 1981. Momentum Energy and Mass Transfer in Continua. 2nd edn, Robert E. Kreiger Pub. Co. New York.
30. Tschoegl N. W., 1989. The Phenomenological Theory of Linear Viscoelastic Behavior, an Introduction. Springer-Verlag, Berlin.
31. Whitaker S., 1977. Simultaneous heat, mass and momentum transfer in porous media, a theory of drying. Adv. Heat Transfer 13: 119-203.
32. Whitaker S., 1986. Flow in porous media III: Deformable media. Transport Porous Media 1: 127-154.
33. Zienkiewicz O. C., 1989. Finite-element Method. McGraw Hill, New York.