Table 1.
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) |