Abstract
Multidimensional drying in capillary porous media is analytically solved for the associated temperature, moisture and pressure content distributions. Luikov's model with linear transport coefficients and two-dimensional plate geometry is adopted for description of the simultaneous heat, mass and pressure transfer phenomena. The generalized integral transform technique (G.I.T.T.) is applied to the problem and the automatically global error-controlled solution of the coupled partial differential equations is used to achieve the solutions. The convergence behavior of the proposed eigenfunction expansions is illustrated.
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References
Luikov, A.V., 1975, “System of Differential Equations of Heat and Mass Transfer in Capillary Porous Bodies (Review)”, Int. J. Heat & Mass Transfer, vol. 18, pp. 1- 44
Cotta, R.M., 1993,”Integral Transforms in Computational Heat and Fluid Flow”; CRC Press, Boca Raton, Florida
Cotta, R.M and Mikhailov, M. D., , 1997,”Heat Conduction”, John Wiley & Sons.
Duarte, J.B.F., 1995, “Solução Numérica da Difusão de Calor e Massa em Meios Bidimensionais Capilares Porosos”, Master Thesis, U.F.C, Ceará, Brasil.
Duarte, J. B. F., 1998, “Abordagem Analítico-Numérica em Meios Multidimensionais Capilares Porosos”. Phd Thesis,. Physics Department -UFC. Fortaleza, Ce, Brasil
Ribeiro, J.W., Cotta, R.M. & Mikhailov, M.D., 1993, “Integral Transform Solution of Luikov's Equations for Heat and Mass Transfer in Capillary Porous Media”, Int. J. Heat & Mass Transfer, vol. 36, pp. 4467-4475.
Ribeiro, J.W. & Cotta, R.M., 1995, “On the Solution of Non-Linear Drying Problems in Capillary Porous Media Through Integral Transformation of Luikov Equations”, Int. J. Num. Meth. Eng., vol. 38, pp. 1001-1020.
Ferguson, W. J., Lewis, R. W. and Tomosy, L., 1993, “A Finite element analysis of freeze-drying of a coffee sample”, Computer Methods in Applied Mechanics and Engineering, V. 108, p 341-352.
Lewis, R. W., Morgan, K., Thomas, H. R., and Seetharamu, K. N., 1996, “The Finite Element Method in Heat Transfer Analysis”, John Wiley & Sons.
Thomas, H.R., Morgan, K. & Lewis, R.W., 1980, “A Fully Non-linear Analysis of Heat and Mass Transfer Problems in Porous Bodies”, Int. J. Num. Meth. Eng., vol. 15, pp.1381-1393.
Mikhailov, M. D. and Özisik, M. N., 1984, “Unified Analysis and Solutions of Heat and Mass Diffusion”, John Wiley & Sons, New York.
Duarte, J.B.F. and Ribeiro, J.W., 1997, “Integral Transform Solution of Two-Dimensional Coupled Parabolic Differential Equations, Conferência Italia-Latinoamericana sobre Matemática Aplicada e Industrial - ITLA97”, Roma, Itália.
Cunha, F. G. M., Ribeiro, J. W., Duarte, J. B. F., Santos, C. A. C. e Marcondes, F., 2002, “Efeito da Pressão no Problema de Luikov”, National Congress of Mechanical Engineering – CONEM, João Pessoa, Paraíba, Brasil.
Wolfram, S., 1996, “The Mathematica Book – Version 3”. Ed. Cambridge Univ. Press.
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Duarte, J.B.F., Ribeiro, J.W., Pinheiro, P.R., de Holanda, C.A.M. (2010). The Effect of Pressure in Two-Dimensional Luikov Drying Problem. In: Iskander, M., Kapila, V., Karim, M. (eds) Technological Developments in Education and Automation. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3656-8_43
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DOI: https://doi.org/10.1007/978-90-481-3656-8_43
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