Table 1 Selected mathematical modeling to demonstrate the basil drying process.

From: Assessment of a LPG hybrid solar dryer assisted with smart air circulation system for drying basil leaves

No.

Model name

Model equation*

Reference

1

Newton (Lewis)

\(\:\text{M}\text{R}=\text{e}\text{x}\text{p}\left(-\text{k}\text{t}\right)\)

65

2

Page

\(\:\text{M}\text{R}=\text{e}\text{x}\text{p}\left(-\text{k}{\text{t}}^{\text{n}}\right)\)

66,67

3

Simplified Ficks Diffusion

\(\:\text{M}\text{R}=\text{a}\text{exp}\left(-\text{c}\left(\frac{\text{t}}{{\text{L}}^{2}}\right)\right)\)

54

4

Approximation diffusion or (Diffusion Approach)

\(\:\text{M}\text{R}=\text{a}\text{exp}\left(-\text{k}\text{t}\right)+\left(1-\text{a}\right)\text{e}\text{x}\text{p}\left(-\text{k}\text{b}\text{t}\right)\)

68,69

5

Logistics

\(\:\text{M}\text{R}=\:\frac{\text{b}}{1+\text{a}\text{exp}\left(\text{k}\text{t}\right)\:}\)

70

6

Parabolic model

\(\:\text{M}\text{R}=\text{a}+\text{b}\text{t}+\text{c}{\text{t}}^{2}\)

71

7

Combined Two-term and Page

\(\:\text{M}\text{R}=\text{a}\:\text{e}\text{x}\text{p}\left(-\text{k}{\text{t}}^{\text{n}}\right)+\text{b}\:\text{e}\text{x}\text{p}\left(-\text{h}{\text{t}}^{\text{n}}\right)\)

72

8

Modified Henderson and Pabis

\(\:\text{M}\text{R}=\text{a}\text{exp}\left(-\text{k}\text{t}\right)+\text{b}\:\text{e}\text{x}\text{p}\left(-\text{g}\text{t}\right)+\text{c}\:\text{e}\text{x}\text{p}\left(-\text{h}\text{t}\right)\)

73

9

Modified Midilli II

\(\:\text{M}\text{R}=\text{a}\:\text{e}\text{x}\text{p}\left(-\text{k}{\text{t}}^{\text{n}}\right)+\text{b}\)

74

10

Modified Page III

\(\:\text{M}\text{R}=\text{k}\:\text{e}\text{x}\text{p}{\left(-\frac{\text{t}}{{\text{d}}^{2}}\right)}^{\text{n}}\)

74

11

Modified Two Term III

\(\:\text{M}\text{R}=\text{a}\:\text{e}\text{x}\text{p}\left(-\text{k}\text{t}\right)+\left(1-\text{a}\right)\:\text{e}\text{x}\text{p}\left(-\text{k}\text{a}\text{t}\right)\)

74

  1. *k is the drying constant, min− 1; t is drying time, min; L is the samples thickness (slab), m; a, b,c, d,g, h, n are the models constants, dimensionless.