Name of model |
Mathematical expression. |
References |
Difussion Approach |
MR = a exp(-kt) + (1-a) exp(-kbt) |
(Akpinar, 2006Akpinar, E. K. (2006). Mathematical modelling of thin layer drying process under open sun of some aromatic plants. Journal of Food Engineering, 77(4), 864-870. DOI: 10.1016/j.jfoodeng.2005.08.014 https://doi.org/10.1016/j.jfoodeng.2005....
) |
Two Term |
MR = a exp(-k1t) + b exp(-k2t) |
(Sharaf-Eldeen, Blaisdell, & Hamdy, 1980Sharaf-Eldeen, Y. I., Blaisdell, J. L., & Hamdy, M. Y. (1980). A model for ear corn drying. Transactions of the ASAE , 23(5), 1261-1265. DOI: 10.13031/2013.34757 https://doi.org/10.13031/2013.34757...
) |
Henderson & Pabis |
MR = a exp(-kt) |
(Henderson, 1974Henderson, S. M. (1974). Progress in developing the thin layer drying equation. Transactions of the ASAE, 17(6), 1167-1168. DOI: 10.13031/2013.37052 https://doi.org/10.13031/2013.37052...
) |
Logaritmic |
MR = a exp(-kt) + c |
(Kingsly, Goyal, Manikantan, & Ilyas, 2007Kingsly, R. P., Goyal, R. K., Manikantan, M. R., & Ilyas, S. M. (2007). Effects of pretreatments and drying air temperature on drying behaviour of peach slice. International Journal of Food Science & Technology , 42(1), 65-69. DOI: 10.1111/j.1365-2621.2006.01210.x https://doi.org/10.1111/j.1365-2621.2006...
) |
Midilli et.al. (2002Midilli, A., Kucuk, H., & Yapar, Z. (2002). A new model for single-layer drying. Drying Technology, 20(7), 1503-1513. DOI: 10.1081/DRT-120005864 https://doi.org/10.1081/DRT-120005864...
) |
MR = a exp(-ktn) + bt |
(Midilli et al., 2002Midilli, A., Kucuk, H., & Yapar, Z. (2002). A new model for single-layer drying. Drying Technology, 20(7), 1503-1513. DOI: 10.1081/DRT-120005864 https://doi.org/10.1081/DRT-120005864...
) |
Newton |
MR = exp(-kt) |
(Lewis, 1921Lewis, W. K. (1921). The rate of drying of solid materials. Journal of Industrial & Engineering Chemistry, 13(5), 427-432. DOI: 10.1021/ie50137a021 https://doi.org/10.1021/ie50137a021...
) |
Page |
MR = exp(-ktn) |
(Page, 1949Page, G. E. (1949). Factors influencing the maximum rates of air drying shelled corn in thin layers. Retrieved on Aug. 8, 2019 from https://docs.lib.purdue.edu/dissertations/AAI1300089 https://docs.lib.purdue.edu/dissertation...
) |
Thompson |
MR = exp(-a-(a2+4bt)0,5/(2b)) |
(Thompson, Peart, & Foster, 1968Thompson, T. L., Peart, R. M., & Foster, G. H. (1968). Mathematical simulation of corn drying - A new model. Transactions of the ASAE , 11(4), 582-586. DOI: 10.13031/2013.39473 https://doi.org/10.13031/2013.39473...
) |
Valcam |
MR = a + bt + ct1,5 + dt2
|
(Madamba, Driscoll, & Buckle, 1996Madamba, P. S., Driscoll, R. H., & Buckle, K. A. (1996). The thin-layer drying characteristics of garlic slices. Journal of Food Engineering , 29(1), 75-97. DOI: 10.1016/0260-8774(95)00062-3 https://doi.org/10.1016/0260-8774(95)000...
) |
Verma |
MR = a exp(-k1t) ) + (1-a) exp(-k2t) |
(Lalit, Verma, Bucklin, Endan, & Wratten, 1985Lalit, R., Verma, L. R., Bucklin, R. A., Endan, J. B., & Wratten, F. T. (1985). Effects of drying air parameters on rice drying models. Transactions of the ASAE , 28(1), 296-301. DOI: 10.13031/2013.32245 https://doi.org/10.13031/2013.32245...
) |