Determination of effective diffusivity and convective mass transfer coefficient for cylindrical solids via analytical solution and inverse method: Application to the drying of rough rice

Journal of Food Engineering

Volumn 98, Issue 3, 2010, Pages 302-308

  da Silva, Wilton Pereira ^a   Precker, Jürgen W ^a   e Silva, Cleide M D P S ^a   Gomes, Josivanda Palmeira ^a  

^a FEDERAL UNIVERSITY OF CAMPINA GRANDE   (Brazil)

Author keywords

Characteristic equation; Convective boundary condition; Diffusion model; Infinite cylinder; Optimization

Indexed keywords

ANALYTICAL SOLUTIONS; CHARACTERISTIC EQUATION; CONVECTIVE MASS TRANSFER COEFFICIENTS; CYLINDRICAL SHAPES; DIFFUSION EQUATIONS; DIFFUSION MODEL; DIFFUSION PROCESS; DRYING KINETIC; EFFECTIVE DIFFUSIVITIES; EXPERIMENTAL DATA; INFINITE CYLINDER; INFINITE CYLINDERS; INVERSE METHODS; ROUGH RICE; SIMULTANEOUS DETERMINATIONS; STATISTICAL INDICATORS; THIN LAYER DRYING;

BOUNDARY CONDITIONS; CYLINDERS (SHAPES); DEWATERING; DRYING; INVERSE PROBLEMS; PLANTS (BOTANY);

DIFFUSION;

EID: 76549128660     PISSN: 02608774     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfoodeng.2009.12.029     Document Type: Article

References (29)

1. Bello M., Tolaba M.P., and Suarez C. Factors affecting water uptake of rice grain during soaking. Lebensmittel-Wissenschaft und-Technologie 37 8 (2004) 811-816
2. Bevington P.R., and Robinson D.K. Data Reduction and Error Analysis for the Physical Sciences. second ed. (1992), WCB/McGraw-Hill, Boston
3. Bird R.B., Stewart W.E., and Lightfoot E.N. Transport Phenomena. second ed. (2001), John Wiley and Sons, Inc., New York
4. Carmo J.E.F., and LIMA A.G.B. Drying of lentil including shrinkage: a numerical simulation. Drying Technology, New York 23 9-11 (2005) 1977-1992
5. Crank J. The Mathematics of Diffusion (1992), Clarendon Press, Oxford, UK
6. Cunningham S.E., Mcminn W.A.M., Magee T.R.A., and Richardson P.S. Modelling water absorption of pasta during soaking. Journal of Food Engineering 82 4 (2007) 600-607
7. Da Silva C.K.F., Da Silva Z.E., and Mariani V.C. Determination of the diffusion coefficient of dry mushrooms using the inverse method. Journal of Food Engineering 95 1 (2009) 1-10
8. Doymaz I. Drying behaviour of green beans. Journal of Food Engineering 69 1 (2005) 161-165
9. Doymaz I., and Pala M. The thin-layer drying characteristics of corn. Journal of Food Engineering 60 2 (2003) 125-130
10. Erdogdu F. Mathematical approaches for use of analytical solutions in experimental determination of heat and mass transfer parameters. Journal of Food Engineering 68 2 (2005) 233-238
11. Gastón A.L., Abalone R.M., and Giner S.A. Wheat drying kinetics. Diffusivities for sphere and ellipsoid by finite elements. Journal of Food Engineering 52 1 (2002) 313-322
12. Hacihafizoglu O., Cihan A., Kahveci K., and Lima A.G.B. A liquid diffusion model for thin-layer drying of rough rice. European Food Research and Technology 226 4 (2008) 787-793
13. Iguaz A., San Martín M.B., Maté J.I., Fernández T., and Vírseda P. Modelling effective moisture diffusivity of rough rice (Lido cultivar) at low drying temperatures. Journal of Food Engineering 59 2-3 (2003) 253-258
14. Jia, C., Yang, W., Siebenmorgen, T.J., Cnossen, A.G., 2001. Development of computer simulation software for single grain kernel drying, tempering and stress analysis. In: ASAE Annual International Meeting, Sacramento, California, USA. Proceedings... Sacramento: ASAE, paper number 01-3010.
15. Li Z., Kobayashi N., and Hasatani M. Modeling of diffusion in ellipsoidal solids: a comparative study. Drying Technology 22 4 (2004) 649-675
16. Lima D.R., Farias S.N., and Lima A.G.B. Mass transport in spheroids using the Galerkin method. Brazilian Journal of Chemical Engineering 21 1 (2004) 667-680
17. Luikov A.V. Analytical Heat Diffusion Theory (1968), Academic Press, Inc., Ltd., London
18. Mariani V.C., Lima A.G., and Coelho B. Apparent thermal diffusivity estimation of the banana during drying using inverse method. Journal of Food Engineering 85 4 (2008) 569-579
19. Mohapatra D., and Rao P. A thin layer drying model of parboiled wheat. Journal of Food Engineering 66 4 (2005) 513-518
20. Park K.J., Vohnikova Z., and Brod F.P.R. Evaluation of drying parameters and desorption isotherms of garden mint leaves (Mentha Crispa L.). Journal of Food Engineering 51 3 (2002) 193-199
21. Queiroz M.R., and Nebra S.A. Theoretical and experimental analysis of the drying kinetics of bananas. Journal of Food Engineering 4 2 (2001) 127-132
22. Ruiz-López I.I., and García-Alvarado M.A. Analytical solution for food-drying kinetics considering shrinkage and variable diffusivity. Journal of Food Engineering 79 1 (2007) 208-216
23. Silva W.P., Silva C.M.D.P.S., Silva D.D.P.S., and Silva C.D.P.S. Numerical simulation of the water diffusion in cylindrical solids. International Journal of Food Engineering 4 2 (2008) article 6
24. Silva W.P., Mata M.E.R.M.C., Silva C.D.P.S., Guedes M.A., and Lima A.G.B. Determinação da difusividade e da energia de ativação para feijão macassar (Vigna unguiculata (l.) walp.), variedade sempre-verde, com base no comportamento da secagem. Engenharia Agrícola 28 2 (2008) 325-333
25. Silva W.P., Precker J.W., Silva C.M.D.P.S., and Silva D.D.P.S. Determination of the effective diffusivity via minimization of the objective function by scanning: application to drying of cowpea. Journal of Food Engineering 95 2 (2009) 298-304
26. Taylor J.R. An Introduction to Error Analysis. second ed. (1997), University Science Books, Sausalito, California
27. Tello-Panduro, B., García-Vásquez, Y., Medina-Vivanco, M., Mendieta-Taboada, O., 2004. Air drying of clams (Anodontites trapesialis) and tilapia (Oreochromis niloticus) fillet. In: Drying 2004 - Proceedings of the 14th International Drying Symposium (IDS 2004), vol. C, São Paulo, Brazil, 22-25 August 2004, pp. 1977-1983.
28. Thakur A.K., and Gupta A.K. Water absorption characteristics of paddy, brown rice and husk during soaking. Journal of Food Engineering 75 2 (2006) 252-257
29. Wu B., Yang W., and Jia C. A three-dimensional numerical simulation of transient heat and mass transfer inside a single rice kernel during the drying process. Biosystems Engineering 87 2 (2004) 191-200