Abstract
A new mathematical model was developed for simulating simultaneous heat and moisture transfer in an anisotropic body with chemical reactions and volumetric changes. This was accomplished by modifying Luikov’s model by expressing a local pressure change in terms of changes in local temperature, vaporization ratio and shrinkage. A generally applicable computer program was developed by using the developed mathematical model and by applying an alternate direction general implicit finite defference method. An overall body shape was assumed to be a body of rotation or an infinite column, both having arbitrary cross-sectional shapes. A limited parametric analysis was performed to examine the influence of selected, key physical properties on heat and moisture transfer in an oblate body.
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References
Ames, W.F. 1977. πNumerical Method for Partial Differential Equationsπ. Academic Press, N.Y.
Amir, H., Le Palec, G, and Daguenet, M. 1987. Sechage superficiel d’um materiau poruax humide par convection forcee d’air chaud: couplage entre les equations de trandfert dans le materiau et celles de la couche limite. Int. J. Heat Mass Transfer 30:1149.
Balaban, M. and Hayakawa, K. 1986. Unpublished data.
Balaban, M.O., Zuritz, C.A., Singh, R.P. and Hayakawa, K. 1987. Estimation of heat of moisture sorption and improved criteria for evaluating moisture sorption isotherm equations for foods. J. Food Proc. Eng. 10:53.
Califano, A.N. and Calvelo, A. 1983. Heat and mass transfer during the warm water blanching of potatoes. J. Food Sci. 48:220.
Chandra, Prabir K. and Singh, R. Paul. 1984. Thin-layer drying of parboiled rice at elevated temperatures. J. Food Sci. 49:905.
Chhinan, Manjeet, S. 1984. Evaluation of selected mathematical models for decribing thin-layer drying of in-shell pecans. Trans. ASAE 27:610.
Comini, G. and Lewis, R.W. 1976. A numerical solution of two-dimensional problems invloving heat and mass transfer. Int. J. Heat Mass Transfer 19:1387.
de Groot, S.R. and Mazur, P. 1962. πNon-Equilibrium Thermodynamic sir, North Hooland Publ. Co., Amsterdam, The Netherlands.
Fortes, M. and Okos, M.R, 1980. Changes in physical properties of corn during drying. Trans. ASAE 23:1004.
Fortes, M., Okos, M.R. and Barret, J.R., Jr. 1981. Heat and mass transfer analysis of intra-kernel wheat drying and rewetting. J. Agric. Engng. Res. 26:109.
Gibson, R.D., Cross, M., and Young, R.W. 1979. Pressure gradients generated during the drying of porous shapes. Int. J. heat Mass Transfer 22:827.
Hayakawa, Kan-ichi and Rossen, J.L. 1977a. Parametric analysis of simultaneous heat and moisture transfer in dehydrated food subjected to step or ramp functional changes in environmental transfer potentials. Lebens. -Wiss. u. -Tehcnol. 10:217.
Hayakawa, Kan-ichi and Rossen, J.L. 1977b. Simultaneous heat and moisture transfer in capillary porous materials in a moderately large time range. Lebens. -Wiss. u. -Tehcnol. 10:273.
Igresias, H.A. and Chirife, J. 1984. Correction of BET monolayer moisture content in foods with temperature. J. Food Tech. 19:503.
Karathanos, V.T. and Saravacos, G.D. 1988. unpublished data.
Laws, N. and Parry, J.L. 1983. Mathematical modeling of heat and mass transfer in agricultural grain drying. Proc. Soc. Lond. A385:169.
Li, Huizhen, and Morey, Vance 1984. Thin-layer drying of yellow dent corn. Trans. ASAE 27:581.
Liou, J.K. 1982. An approximate method for nonlinear diffusion applied to enzyme inactivation during drying. Doctoral dissertation. Agricultural University, Wageningen, The Netherlands.
Lozano, J.E., Rotstein, E. and Urbicain, M.J. 1983. Shrinkage, porosity and bulk density of foodstuffs at changing moisture contents. J. Food Sci. 48:1797.
Luikov, A.V. 1966. “Heat and mass transfer in Capillary porous Bodies”. Pergamon Press, New York.
Luikov, A.V. 1975. Systems of differential equations of heat and mass transfer in capillary-porous bodies (Review). Int. J. Heat Mass Transfer 18:1.
Michhailov, M.D. 1975. Exact solution of temperature and moisture distributions in a porous half-space with moving evaporation front. Int. J. Heat Mass Transfer 18:797.
Misra, M.K. and Brooker, D.B. 1980. Thin-layer drying and rewett-ing equations for shelled yellow corn. Trans ASAE 23:1254.
Plumb, O.A., Spolek, G.A. and Olmstead, B.A., 1985. Heat and mass transfer in food during drying. Int. J. Heat and Mass Transfer 28:1669.
Prat, M. 1986. Analysis of experiments of moisture migration caused by temperature differences in unsaturated porous medium by means of two-dimensional numerical simulation. Int. J. Heat and Mass Transfer, 29:1033.
Roman, Graciela, N., Rotstein, Enrique, and Ubricain, Martin J. 1979. Kinetics of water vapor desorption from apples. J. Food Sci. 44, 193.
Rossen, Jack L. and Hayakawa, Kan-ichi. 1977. Simultaneous heat and moisture transfer in dehydrated food. A review of therotical models. Symposium Series of the American Institute of Chemical Engineers S 163:71.
Rotstein, E. and Cornish, A.R.H. 1978. Influence of cellular membrane permeability on drying behaviour. J. Food Science 43:926.
Saito, H. and Seki, N. 1977. Mass transfer and pressure rise in moist porous material subjectie to sudden heating. J. Heat Transfer 99:105.
Singh, R.K. and Lund, D.B. 1984. Mathematical modeling of heat and moisture transfer-related properties of intermediate moisture apples. J. Food Proc. Preservation 8:191.
Sun, L.M., Neunier, F. et Mischler, B. 1986. Etude Analytique des distributions de temperature et de concentration a l’interieur d’un grain spherique d’absorband solide soumis a un echelon de pression de vapeur absrobable. Int. J. Heat Mass Transfer 29:1393.
White, G.M., Bridges, T.C., Loenur, O.J. and Ross, J.J. 1981. Thin-layer drying model for soybeans. Trans. ASAE 24:1643.
Wisniewski, S., Staniszewski, B. and Szynanik, R. 1976. “Thermodynamics of Nonequilibrium Process”, D. Reidel Publishing Co., Boston, Ma.
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© 1989 Kluwer Academic Publishers
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Hayakawa, KI., Furuta, T. (1989). Thermodynamically Interactive Heat and Mass Transfer Coupled With Shrinkage and Chemical Reactions. In: Singh, R.P., Medina, A.G. (eds) Food Properties and Computer-Aided Engineering of Food Processing Systems. NATO ASI Series, vol 168. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2370-6_14
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DOI: https://doi.org/10.1007/978-94-009-2370-6_14
Publisher Name: Springer, Dordrecht
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