Table 2 Peleg and ASABE kinetic parameters and fitting equations of straw after thermal pretreatment.

From: Research on the water absorption diffusion model and kinetics of pretreated straw

Samples

Peleg

ASABE

K1

SE

K2

SE

R2

Equation

Relative error /%

k

SE

R2

Equation

CS

6.90

2.66

14.05

0.70

0.9972

\(\begin{aligned}&t/\left({M}_{t}-{M}_{0}\right)=\left(0.0786\text{T}-5.3200\right)\\&+t\left(0.1571\text{T}-14.0740\right)\end{aligned}\)

 

0.1080

0.0164

0.9438

\(\begin{aligned}&\left({\eta\:}_{EMC}-{M}_{t}\right)/\left({\eta\:}_{EMC}-{M}_{0}\right)\\&=exp\left[t\left(0.0001T-0.0759\right)\right]\end{aligned}\)

CS-120

4.59

2.11

7.36

0.56

0.9925

21.41

0.0617

0.0104

0.9583

CS-140

5.97

3.59

6.65

0.94

0.9765

50.77

0.0582

0.0125

0.9725

CS-160

6.32

3.92

7.81

1.03

0.9784

67.89

0.0496

0.0098

0.9799

CS-180

7.86

5.12

14.19

1.35

0.9899

15.81

0.0510

0.0198

0.7334

CS-200

11.50

5.18

19.30

1.36

0.9960

1.52

0.0516

0.0032

0.9738

RS

18.37

2.34

17.34

0.52

0.9984

\(\begin{aligned}&t/\left({M}_{t}-{M}_{0}\right)=\left(0.4538\text{T}-52.8120\right)\\&+t\left(0.1087\text{T}-3.2080\right)\end{aligned}\)

 

0.0403

0.0182

0.5265

\(\begin{aligned}&\left({\eta\:}_{EMC}-{M}_{t}\right)/\left({\eta\:}_{EMC}-{M}_{0}\right)\\&=exp\left[t\left(-0.0010T+0.0957\right)\right]\end{aligned}\)

RS-120

6.62

0.58

9.67

0.13

0.9996

2.73

0.0770

0.0175

0.7177

RS-140

6.40

0.89

13.46

0.22

0.9987

7.41

0.0560

0.0098

0.8449

RS-160

14.93

2.33

11.24

0.57

0.9970

11.67

0.0611

0.0207

0.4953

RS-180

31.59

0.77

18.49

0.17

0.9999

7.54

0.0895

0.0102

0.8891

RS-200

39.40

1.14

18.02

0.26

0.9997

1.05

0.1156

0.0162

0.8406

WS

15.09

2.25

21.34

0.51

0.9989

\(\begin{aligned}&t/\left({M}_{t}-{M}_{0}\right)=\left(0.2651\text{T}-23.2260\right)\\&+t\left(0.0326\text{T}+8.3580\right)\end{aligned}\)

 

0.0543

0.0068

0.9086

\(\begin{aligned}&\left({\eta\:}_{EMC}-{M}_{t}\right)/\left({\eta\:}_{EMC}-{M}_{0}\right)\\&=exp\left[t\left(-0.0003T-0.0262\right)\right]\end{aligned}\)

WS-120

5.23

0.54

10.60

0.12

0.9997

13.20

0.0664

0.0106

0.8106

WS-140

16.89

0.91

14.17

0.21

0.9996

5.90

0.0785

0.0094

0.8732

WS-160

23.56

1.28

15.96

0.29

0.9995

10.45

0.0715

0.0107

0.8185

WS-180

20.10

1.89

12.32

0.42

0.9982

5.93

0.0842

0.0165

0.7297

WS-200

30.13

1.77

14.78

0.40

0.9990

2.03

0.0968

0.0132

0.8443

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