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. 2017 Jun 24;25(2):332–338. doi: 10.1016/j.sjbs.2017.06.011

Table 1.

Mathematical models used to describe the thin-layer drying curve.

No. Model name Analytical expression Reference
1 Lewis MR = exp(−kt) Bruce (1985)
2 Page MR = exp(−kty) Page (1949)
3 Modified page MR = exp(−(kt)y) White et al. (1981)
4 Henderson and Pabis MR = a exp(−kt) Henderson and Pabis (1961)
5 Wang and Singh MR = 1 + at + bt2 Wang and Singh (1978)
6 Logarithmic MR = a exp(−kt) + c Togrul and Pehlivan (2002)
7 Tow term MR = a exp(−k1t) + b exp(−k2t) Henderson (1974)
8 Tow term exponential MR = a exp(−kt) + (1 − a) exp(−kat) Sharaf-Eldeen et al. (1980)
9 Modified Henderson and Pabis MR = a exp(−kt) + b exp(−gt) + c exp(−ht) Karathanos (1999)
10 Midilli MR = a exp(−ktn) + bt Midilli et al. (2002)
11 Approximation of diffusion MR = a exp(−kt) + (1 − a) exp(−kbt) Kassem (1996)
12 Verma et al. MR = a exp(−kt) + (1 − a) exp(−gt) Verma et al. (1985)
13 Simplified Fick’s diffusion MR = a exp(−c(t/L2)) Diamante and Munro (1991)