Table 4 Mathematical models’ constants values and goodness of fit indices results of OD and HSD for pomegranate peels under different drying temperatures (DAT) and different layers thicknesses (LT).

From: Comparative analysis of drying kinetics, thermodynamic properties, and mathematical modeling of pomegranate peel (Punica granatum L.) in a hybrid solar dryer and an oven dryer

MMs

DAT, °C

LT, cm

Parameters

Oven drying (OD)

Parameters

Hybrid solar drying (HSD)

Models’ constants values

Goodness of fit indices

Models’ constants values

Goodness of fit indices

Values

S.E.

p-value

Sign. – Insign.

RMSE

R2

R2adj.

Values

S.E.

p-value

Sign. – Insign.

RMSE

R2

R2adj.

Aghbashlo

50

1

k1

0.0400

0.0547

0.4884

InSign.

0.495552

-0.762515

-1.014303

k1

0.0400

0.0568

0.5040

InSign.

0.514463

-0.923595

-1.198394

k2

-0.1250

0.0506

0.0429

Sign.

k2

-0.1250

0.0526

0.0490

Sign.

2

k1

0.5119

0.0559

3.53*10− 6

Sign.

0.037373

0.986951

0.985646

k1

0.6024

0.0905

5.67*10− 5

Sign.

0.050645

0.975348

0.972883

k2

-0.0009

0.0324

0.9788

InSign.

k2

0.0324

0.0498

0.5306

InSign.

3

k1

0.0400

0.0346

0.2668

InSign.

0.428267

-1.285235

-1.448466

k1

0.0400

0.0356

0.2801

InSign.

0.440892

-1.472200

-1.648786

k2

-0.0667

0.0306

0.0470

Sign.

k2

-0.0667

0.0315

0.0527

InSign.

60

1

k1

0.0400

0.0864

0.6629

InSign.

0.530652

-0.571124

-0.885348

k1

0.0400

0.0898

0.6745

InSign.

0.551200

-0.684874

-1.021849

k2

-0.1667

0.0975

0.1479

InSign.

k2

-0.1667

0.1012

0.1606

InSign.

2

k1

0.4711

0.0647

8.52*10− 5

Sign.

0.044056

0.984822

0.982925

k1

0.5429

0.1047

0.0008

Sign.

0.061347

0.970158

0.966428

k2

-0.0419

0.0401

0.3263

InSign.

k2

-0.0171

0.0622

0.7898

InSign.

3

k1

0.4762

0.0559

3.57*10− 5

Sign.

0.042455

0.982600

0.981018

k1

0.5503

0.0882

6.34*10− 5

Sign.

0.057034

0.967820

0.964894

k2

0.0056

0.0321

0.8651

InSign.

k2

0.0322

0.0485

0.5199

InSign.

70

1

k1

0.0400

0.2460

0.8812

InSign.

0.617217

-0.478052

-0.970736

k1

0.0400

0.2630

0.8888

InSign.

0.659794

-0.608543

-1.144724

k2

-0.2500

0.5640

0.6876

InSign.

k2

-0.2500

0.6029

0.7062

InSign.

2

k1

0.0400

0.0652

0.5619

InSign.

0.509228

-0.572137

-0.834159

k1

0.0400

0.0678

0.5767

InSign.

0.529635

-0.695068

-0.977579

k2

-0.1429

0.0632

0.0646

InSign.

k2

-0.1429

0.0658

0.0728

InSign.

3

k1

0.3710

0.0944

0.0044

Sign.

0.076155

0.958933

0.953799

k1

0.4166

0.1301

0.0126

Sign.

0.090226

0.941558

0.934253

k2

-0.1111

0.0652

0.1266

InSign.

k2

-0.1111

0.0886

0.2451

InSign.

Henderson - Pabis

50

1

k

0.5651

0.0391

1.80*10− 6

Sign.

0.041041

0.987911

0.986184

k

0.6157

0.0572

1.31*10− 5

Sign.

0.053270

0.979376

0.976430

a

1.0316

0.0389

2.76*10− 8

Sign.

a

1.0289

0.0510

1.83*10− 7

Sign.

2

k

0.5236

0.0316

1.35*10− 8

Sign.

0.036615

0.987475

0.986222

k

0.5679

0.0496

4.57*10− 7

Sign.

0.051218

0.974788

0.972266

a

1.0222

0.0343

4.22*10− 11

Sign.

a

1.0185

0.0485

1.33*10− 9

Sign.

3

k

0.4487

0.0335

2.24*10− 9

Sign.

0.046885

0.972612

0.970656

k

0.4928

0.0493

9.43*10− 8

Sign.

0.060705

0.953132

0.949785

a

1.0000

0.0428

1.30*10− 12

Sign.

a

0.9999

0.0563

5.37*10− 11

Sign.

60

1

k

0.6213

0.0742

0.0004

Sign.

0.068732

0.973642

0.968371

k

0.6662

0.0964

0.0010

Sign.

0.081259

0.963382

0.956058

a

1.0425

0.0659

1.83*10− 5

Sign.

a

1.0407

0.0784

4.35*10− 5

Sign.

2

k

0.5425

0.0404

9.00*10− 7

Sign.

0.044870

0.984256

0.982288

k

0.5803

0.0600

1.09*10− 5

Sign.

0.060684

0.970799

0.967148

a

1.0316

0.0422

8.44*10− 9

Sign.

a

1.0283

0.0576

9.98*10− 8

Sign.

3

k

0.4793

0.0319

1.10*10− 9

Sign.

0.041740

0.983182

0.981653

k

0.5140

0.0490

4.55*10− 7

Sign.

0.057950

0.966778

0.963758

a

1.0247

0.0386

2.48*10− 11

Sign.

a

1.0186

0.0541

1.02*10− 9

Sign.

70

1

k

0.6602

0.1540

0.0233

Sign.

0.129041

0.935395

0.913860

k

0.7332

0.1957

0.0332

Sign.

0.143645

0.923758

0.898344

a

1.0550

0.1249

0.0035

Sign.

a

1.0537

0.1401

0.0049

Sign.

2

k

0.5862

0.0802

0.0003

Sign.

0.081556

0.959675

0.952954

k

0.6304

0.1070

0.0011

Sign.

0.098245

0.941675

0.931955

a

1.0521

0.0776

9.99*10− 6

Sign.

a

1.0488

0.0943

3.14*10− 5

Sign.

3

k

0.5294

0.0684

5.52*10− 5

Sign.

0.080940

0.953609

0.947810

k

0.5700

0.0867

0.0002

Sign.

0.092303

0.938836

0.931191

a

1.0626

0.0759

6.60*10− 7

Sign.

a

1.0566

0.0875

2.04*10− 6

Sign.

Lewis (Newton)

50

1

k

0.5504

0.0330

1.69*10− 7

Sign.

0.040203

0.986742

0.986742

k

0.6009

0.0477

1.49*10− 6

Sign.

0.050978

0.978414

0.978414

2

k

0.5131

0.0263

6.86*10− 10

Sign.

0.035635

0.986950

0.986950

k

0.5582

0.0411

3.27*10− 8

Sign.

0.049185

0.974425

0.974425

3

k

0.4487

0.0273

5.21*10− 11

Sign.

0.045295

0.972612

0.972612

k

0.4929

0.0407

3.77*10− 9

Sign.

0.058647

0.953132

0.953132

60

1

k

0.6011

0.0617

6.71*10− 5

Sign.

0.065401

0.971362

0.971362

k

0.6457

0.0799

0.0002

Sign.

0.076209

0.961351

0.961351

2

k

0.5278

0.0337

7.75*10− 8

Sign.

0.043779

0.983139

0.983139

k

0.5661

0.0497

1.19*10− 6

Sign.

0.058073

0.969915

0.969915

3

k

0.4684

0.0261

5.02*10− 10

Sign.

0.040702

0.982553

0.982553

k

0.5049

0.0401

2.83*10− 8

Sign.

0.055774

0.966429

0.966429

70

1

k

0.6338

0.1218

0.0065

Sign.

0.115486

0.931007

0.931007

k

0.7063

0.1562

0.0106

Sign.

0.127550

0.919848

0.919848

2

k

0.5624

0.0666

6.47*10− 5

Sign.

0.078389

0.956536

0.956536

k

0.6065

0.0885

0.0002

Sign.

0.093028

0.938989

0.938989

3

k

0.5029

0.0570

1.00*10− 5

Sign.

0.079585

0.949544

0.949544

k

0.5439

0.0719

3.46*10− 5

Sign.

0.089330

0.935553

0.935553

Logarithmic (Asymptotic)

50

1

k

0.5426

0.0613

0.0001

Sign.

0.043367

0.988430

0.984573

k

0.6151

0.0903

0.0005

Sign.

0.057538

0.979376

0.972502

a

1.0431

0.0462

4.96*10− 7

Sign.

a

1.0292

0.0610

2.77*10− 6

Sign.

c

-0.0147

0.0299

0.6413

InSign.

c

-0.0004

0.0354

0.9924

InSign.

2

k

0.5500

0.0457

7.55*10− 7

Sign.

0.036892

0.988556

0.986013

k

0.6186

0.0704

1.04*10− 5

Sign.

0.050080

0.978306

0.973486

a

1.0113

0.0367

5.27*10− 10

Sign.

a

1.0001

0.0504

9.66*10− 9

Sign.

c

0.0157

0.0170

0.3804

InSign.

c

0.0264

0.0216

0.2521

InSign.

3

k

0.5285

0.0387

4.33*10− 9

Sign.

0.034913

0.985898

0.983728

k

0.5919

0.0626

3.42*10− 7

Sign.

0.049583

0.970966

0.966499

a

0.9765

0.0337

3.38*10− 13

Sign.

a

0.9734

0.0486

3.70*10− 11

Sign.

c

0.0442

0.0121

0.0030

Sign.

c

0.0485

0.0165

0.0114

Sign.

60

1

k

0.5307

0.1143

0.0097

Sign.

0.068284

0.979188

0.968782

k

0.5971

0.1562

0.0187

Sign.

0.086981

0.966435

0.949652

a

1.0992

0.0875

0.0002

Sign.

a

1.0786

0.1056

0.0005

Sign.

c

-0.0661

0.0752

0.4288

InSign.

c

-0.0441

0.0826

0.6213

InSign.

2

k

0.5410

0.0635

6.10*10− 5

Sign.

0.047964

0.984259

0.979761

k

0.6004

0.0939

0.0004

Sign.

0.064384

0.971238

0.963021

a

1.0323

0.0493

1.43*10− 7

Sign.

a

1.0198

0.0664

1.20*10− 6

Sign.

c

-0.0009

0.0284

0.9748

InSign.

c

0.0113

0.0350

0.7553

InSign.

3

k

0.5008

0.0465

8.07*10− 7

Sign.

0.042707

0.983993

0.980792

k

0.5542

0.0711

1.47*10− 5

Sign.

0.058481

0.969242

0.963090

a

1.0159

0.0416

3.03*10− 10

Sign.

a

1.0043

0.0577

8.25*10− 9

Sign.

c

0.0137

0.0190

0.4896

InSign.

c

0.0224

0.0245

0.3814

InSign.

70

1

k

0.3456

0.2213

0.2588

InSign.

0.104529

0.971738

0.943477

k

0.4613

0.3147

0.2803

InSign.

0.141768

0.950492

0.900983

a

1.4516

0.4784

0.0936

InSign.

a

1.3011

0.3910

0.0797

InSign.

c

-0.4188

0.5052

0.4943

InSign.

c

-0.2620

0.4089

0.5874

InSign.

2

k

0.5361

0.1299

0.0091

Sign.

0.086894

0.961853

0.946594

k

0.6021

0.1742

0.0181

Sign.

0.107021

0.942325

0.919255

a

1.0814

0.0988

0.0001

Sign.

a

1.0635

0.1189

0.0003

Sign.

c

-0.0355

0.0739

0.6513

InSign.

c

-0.0176

0.0802

0.8347

InSign.

3

k

0.5201

0.1074

0.0019

Sign.

0.086419

0.953726

0.940505

k

0.5774

0.1348

0.0036

Sign.

0.098623

0.938902

0.921446

a

1.0677

0.0889

6.32*10− 6

Sign.

a

1.0530

0.1016

1.69*10− 5

Sign.

c

-0.0067

0.0530

0.9035

InSign.

c

0.0046

0.0553

0.9356

InSign.

Midilli

50

1

k

0.4260

0.0313

3.82*10− 5

Sign.

0.018927

0.998164

0.997062

k

0.4757

0.0753

0.0015

Sign.

0.042401

0.990667

0.985067

a

1.0036

0.0188

4.39*10− 8

Sign.

a

1.0073

0.0423

2.42*10− 6

Sign.

b

0.0038

0.0015

0.0548

InSign.

b

0.0052

0.0032

0.1650

InSign.

n

1.4071

0.0847

1.45*10− 5

Sign.

n

1.4934

0.2093

0.0008

Sign.

2

k

0.4485

0.0506

2.06*10− 5

Sign.

0.031062

0.992789

0.990084

k

0.5063

0.0857

0.0004

Sign.

0.048946

0.981580

0.974673

a

1.0085

0.0309

8.43*10− 10

Sign.

a

1.0116

0.0488

3.06*10− 8

Sign.

b

0.0035

0.0015

0.0533

InSign.

b

0.0043

0.0023

0.1006

InSign.

n

1.2442

0.1146

4.60*10− 6

Sign.

n

1.2564

0.1906

0.0002

Sign.

3

k

0.4864

0.0630

5.38*10− 6

Sign.

0.039824

0.983063

0.978829

k

0.5484

0.0939

7.95*10− 5

Sign.

0.055381

0.966566

0.958207

a

1.0141

0.0396

7.64*10− 12

Sign.

a

1.0159

0.0552

3.65*10− 10

Sign.

b

0.0033

0.0013

0.0282

Sign.

b

0.0034

0.0018

0.0799

InSign.

n

0.9921

0.1080

8.88*10− 7

Sign.

n

0.9596

0.1510

3.63*10− 5

Sign.

60

1

k

0.4047

0.0348

0.0014

Sign.

0.020554

0.998586

0.997172

k

0.4258

0.0844

0.0150

Sign.

0.047087

0.992623

0.985245

a

1.0029

0.0205

1.87*10− 5

Sign.

a

1.0043

0.0470

0.0002

Sign.

b

0.0046

0.0025

0.1655

InSign.

b

0.0071

0.0053

0.2711

InSign.

n

1.6846

0.1174

0.0007

Sign.

n

1.9569

0.3203

0.0088

Sign.

2

k

0.4267

0.0588

0.0003

Sign.

0.036169

0.992327

0.988491

k

0.4700

0.1013

0.0035

Sign.

0.058546

0.979615

0.969423

a

1.0093

0.0360

1.35*10− 7

Sign.

a

1.0124

0.0583

2.34*10− 6

Sign.

b

0.0040

0.0024

0.1515

InSign.

b

0.0052

0.0037

0.2142

InSign.

n

1.3602

0.1515

0.0001

Sign.

n

1.4142

0.2640

0.0017

Sign.

3

k

0.4290

0.0646

9.48*10− 5

Sign.

0.041988

0.986075

0.981433

k

0.4926

0.1013

0.0009

Sign.

0.061400

0.969486

0.959314

a

1.0150

0.0417

1.59*10− 9

Sign.

a

1.0171

0.0611

4.56*10− 8

Sign.

b

0.0025

0.0019

0.2232

InSign.

b

0.0027

0.0027

0.3480

InSign.

n

1.1605

0.1376

1.45*10− 5

Sign.

n

1.1056

0.1979

0.0003

Sign.

70

1

k

0.3357

0.0449

0.0847

InSign.

0.027271

0.999038

0.996153

k

0.3668

0.0063

0.0109

Sign.

0.003552

0.999984

0.999938

a

0.9978

0.0272

0.0173

Sign.

a

1.0001

0.0036

0.0023

Sign.

b

-0.0026

0.0068

0.7695

InSign.

b

0.0027

0.0007

0.1702

InSign.

n

2.0137

0.2025

0.0638

InSign.

n

2.4458

0.0302

0.0079

Sign.

2

k

0.3459

0.0826

0.0138

Sign.

0.050807

0.989567

0.981742

k

0.3267

0.1091

0.0402

Sign.

0.063980

0.983510

0.971142

a

1.0095

0.0505

3.70*10− 5

Sign.

a

1.0024

0.0640

9.68*10− 5

Sign.

b

0.0069

0.0046

0.2055

InSign.

b

0.0089

0.0055

0.1824

InSign.

n

1.9265

0.3266

0.0041

Sign.

n

2.5862

0.5628

0.0101

Sign.

3

k

0.2801

0.0764

0.0105

Sign.

0.051330

0.986007

0.979010

k

0.2629

0.1005

0.0399

Sign.

0.062237

0.979145

0.968717

a

1.0150

0.0507

1.01*10− 6

Sign.

a

1.0067

0.0621

3.51*10− 6

Sign.

b

0.0064

0.0031

0.0868

InSign.

b

0.0074

0.0037

0.0932

InSign.

n

2.0167

0.3409

0.0010

Sign.

n

2.6188

0.5800

0.0040

Sign.

Modified Midilli I

50

1

k

0.4227

0.0238

2.03*10− 6

Sign.

0.017341

0.998150

0.997533

k

0.4690

0.0583

0.0002

Sign.

0.038824

0.990610

0.987480

b

0.0038

0.0014

0.0338

Sign.

b

0.0053

0.0029

0.1246

InSign.

n

1.4130

0.0729

1.22*10− 6

Sign.

n

1.5054

0.1832

0.0002

Sign.

2

k

0.4410

0.0398

1.51*10− 6

Sign.

0.029429

0.992718

0.991100

k

0.4962

0.0688

5.02*10− 5

Sign.

0.046313

0.981447

0.977324

b

0.0035

0.0014

0.0393

Sign.

b

0.0043

0.0022

0.0800

InSign.

n

1.2554

0.1028

6.63*10− 7

Sign.

n

1.2705

0.1736

4.48*10− 5

Sign.

3

k

0.4748

0.0503

3.54*10− 7

Sign.

0.038471

0.982877

0.980243

k

0.5355

0.0766

9.45*10− 6

Sign.

0.053400

0.966324

0.961143

b

0.0033

0.0013

0.0216

Sign.

b

0.0034

0.0017

0.0673

InSign.

n

1.0043

0.0993

1.58*10− 7

Sign.

n

0.9710

0.1404

1.06*10− 5

Sign.

60

1

k

0.4019

0.0251

8.93*10− 5

Sign.

0.017862

0.998576

0.997864

k

0.4215

0.0613

0.0023

Sign.

0.040837

0.992602

0.988902

b

0.0046

0.0022

0.1023

InSign.

b

0.0071

0.0046

0.1944

InSign.

n

1.6908

0.0955

5.98*10− 5

Sign.

n

1.9685

0.2626

0.0017

Sign.

2

k

0.4186

0.0454

3.63*10− 5

Sign.

0.033676

0.992240

0.990023

k

0.4591

0.0794

0.0007

Sign.

0.054415

0.979456

0.973586

b

0.0040

0.0022

0.1179

InSign.

b

0.0052

0.0035

0.1759

InSign.

n

1.3738

0.1334

1.76*10− 5

Sign.

n

1.4323

0.2357

0.0005

Sign.

3

k

0.4168

0.0506

9.05*10− 6

Sign.

0.040131

0.985866

0.983039

k

0.4789

0.0809

0.0001

Sign.

0.058514

0.969208

0.963049

b

0.0025

0.0018

0.1949

InSign.

b

0.0027

0.0026

0.3190

InSign.

n

1.1769

0.1244

2.65*10− 6

Sign.

n

1.1206

0.1812

0.0001

Sign.

70

1

k

0.3379

0.0260

0.0059

Sign.

0.019348

0.999032

0.998063

k

0.3667

0.0037

0.0001

Sign.

0.002512

0.999984

0.999969

b

-0.0026

0.0048

0.6424

InSign.

b

0.0027

0.0005

0.0355

Sign.

n

2.0069

0.1308

0.0042

Sign.

n

2.4460

0.0198

6.55*10− 5

Sign.

2

k

0.3371

0.0607

0.0026

Sign.

0.045648

0.989473

0.985262

k

0.3242

0.0793

0.0094

Sign.

0.057235

0.983504

0.976906

b

0.0070

0.0041

0.1507

InSign.

b

0.0089

0.0049

0.1313

InSign.

n

1.9541

0.2744

0.0008

Sign.

n

2.5965

0.4604

0.0024

Sign.

3

k

0.2668

0.0570

0.0023

Sign.

0.047881

0.985795

0.981736

k

0.2557

0.0740

0.0106

Sign.

0.057675

0.979105

0.973135

b

0.0065

0.0029

0.0625

InSign.

b

0.0075

0.0035

0.0679

InSign.

n

2.0673

0.2963

0.0002

Sign.

n

2.6582

0.4836

0.0009

Sign.

Modified Midilli I I

50

1

k

0.4289

0.0272

1.88*10− 5

Sign.

0.015759

0.998727

0.997963

k

0.4725

0.0698

0.0011

Sign.

0.036541

0.993068

0.988909

a

0.9721

0.0182

4.30*10− 8

Sign.

a

0.9601

0.0406

2.51*10− 6

Sign.

b

0.0304

0.0084

0.0156

Sign.

b

0.0447

0.0169

0.0457

Sign.

n

1.4662

0.0805

9.20*10− 6

Sign.

n

1.6812

0.2275

0.0007

Sign.

2

k

0.4442

0.0457

1.04*10− 5

Sign.

0.026302

0.994830

0.992891

k

0.4825

0.0795

0.0003

Sign.

0.041435

0.986799

0.981849

a

0.9664

0.0287

6.58*10− 10

Sign.

a

0.9534

0.0444

2.31*10− 8

Sign.

b

0.0396

0.0108

0.0063

Sign.

b

0.0536

0.0152

0.0079

Sign.

n

1.3669

0.1197

3.13*10− 6

Sign.

n

1.5873

0.2384

0.0002

Sign.

3

k

0.4739

0.0595

3.96*10− 6

Sign.

0.034385

0.987373

0.984216

k

0.5164

0.0939

0.0001

Sign.

0.049501

0.973289

0.966611

a

0.9565

0.0367

6.15*10− 12

Sign.

a

0.9508

0.0521

4.09*10− 10

Sign.

b

0.0540

0.0119

0.0007

Sign.

b

0.0618

0.0157

0.0020

Sign.

n

1.1689

0.1274

9.03*10− 7

Sign.

n

1.2893

0.2184

7.22*10− 5

Sign.

60

1

k

0.4071

0.0311

0.0010

Sign.

0.017616

0.998961

0.997922

k

0.4250

0.0755

0.0111

Sign.

0.039516

0.994804

0.989609

a

0.9745

0.0211

2.25*10− 5

Sign.

a

0.9573

0.0450

0.0002

Sign.

b

0.0277

0.0110

0.0872

InSign.

b

0.0447

0.0210

0.1228

InSign.

n

1.7386

0.1124

0.0006

Sign.

n

2.1450

0.3195

0.0067

Sign.

2

k

0.4245

0.0559

0.0003

Sign.

0.032325

0.993872

0.990808

k

0.4415

0.0977

0.0040

Sign.

0.051410

0.984282

0.976423

a

0.9686

0.0362

1.79*10− 7

Sign.

a

0.9501

0.0559

2.64*10− 6

Sign.

b

0.0387

0.0152

0.0442

Sign.

b

0.0568

0.0210

0.0355

Sign.

n

1.4742

0.1632

0.0001

Sign.

n

1.8276

0.3477

0.0019

Sign.

3

k

0.4251

0.0640

9.48*10− 5

Sign.

0.039437

0.987716

0.983621

k

0.4801

0.1038

0.0012

Sign.

0.058395

0.972400

0.963200

a

0.9789

0.0432

3.02*10− 9

Sign.

a

0.9721

0.0631

8.92*10− 8

Sign.

b

0.0344

0.0164

0.0651

InSign.

b

0.0433

0.0225

0.0869

InSign.

n

1.2595

0.1561

2.07*10− 5

Sign.

n

1.2981

0.2516

0.0006

Sign.

70

1

k

0.3351

0.0432

0.0817

InSign.

0.026634

0.999083

0.996330

k

0.3672

0.0035

0.0061

Sign.

0.001951

0.999995

0.999981

a

1.0098

0.0396

0.0250

Sign.

a

0.9900

0.0025

0.0016

Sign.

b

-0.0119

0.0275

0.7405

InSign.

b

0.0100

0.0015

0.0924

InSign.

n

1.9994

0.2070

0.0657

InSign.

n

2.4631

0.0175

0.0045

Sign.

2

k

0.3335

0.0740

0.0108

Sign.

0.042098

0.992837

0.987465

k

0.3299

0.0882

0.0201

Sign.

0.048150

0.990660

0.983655

a

0.9538

0.0472

3.54*10− 5

Sign.

a

0.9394

0.0528

5.88*10− 5

Sign.

b

0.0514

0.0204

0.0651

InSign.

b

0.0610

0.0216

0.0479

Sign.

n

2.1728

0.3396

0.0031

Sign.

n

2.8442

0.5060

0.0049

Sign.

3

k

0.2565

0.0642

0.0071

Sign.

0.039187

0.991845

0.987767

k

0.2517

0.0764

0.0165

Sign.

0.043930

0.989609

0.984414

a

0.9503

0.0424

5.20*10− 7

Sign.

a

0.9372

0.0471

1.04*10− 6

Sign.

b

0.0577

0.0157

0.0104

Sign.

b

0.0640

0.0167

0.0087

Sign.

n

2.3526

0.3529

0.0006

Sign.

n

2.9576

0.4866

0.0009

Sign.

Modified Page

50

1

k

0.5299

0.0164

7.06*10− 9

Sign.

0.023454

0.996052

0.995488

k

0.5836

0.0348

6.54*10− 7

Sign.

0.043445

0.986282

0.984323

n

1.3207

0.0838

1.01*10− 6

Sign.

n

1.3450

0.1699

9.73*10− 5

Sign.

2

k

0.5053

0.0250

1.97*10− 9

Sign.

0.034878

0.988635

0.987498

k

0.5540

0.0439

1.80*10− 7

Sign.

0.051109

0.974895

0.972384

n

1.1323

0.1002

5.11*10− 7

Sign.

n

1.0771

0.1473

2.56*10− 5

Sign.

3

k

0.4597

0.0334

1.60*10− 9

Sign.

0.043783

0.976116

0.974410

k

0.5094

0.0537

1.80*10− 7

Sign.

0.056855

0.958889

0.955952

n

0.8495

0.0818

5.81*10− 8

Sign.

n

0.7993

0.1048

2.39*10− 6

Sign.

60

1

k

0.5699

0.0159

3.19*10− 7

Sign.

0.022760

0.997110

0.996532

k

0.6228

0.0343

9.26*10− 6

Sign.

0.045449

0.988545

0.986254

n

1.6056

0.1071

2.39*10− 5

Sign.

n

1.7928

0.2555

0.0009

Sign.

2

k

0.5139

0.0256

3.96*10− 8

Sign.

0.037163

0.989200

0.987850

k

0.5556

0.0449

1.69*10− 6

Sign.

0.057200

0.974055

0.970812

n

1.2555

0.1225

7.05*10− 6

Sign.

n

1.2345

0.1950

0.0002

Sign.

3

k

0.4632

0.0266

2.39*10− 9

Sign.

0.041321

0.983517

0.982019

k

0.5039

0.0449

2.33*10− 7

Sign.

0.058231

0.966456

0.963406

n

1.0888

0.1067

6.01*10− 7

Sign.

n

1.0151

0.1456

2.35*10− 5

Sign.

70

1

k

0.5877

0.0111

1.47*10− 5

Sign.

0.016984

0.998881

0.998508

k

0.6587

0.0056

1.37*10− 6

Sign.

0.007742

0.999779

0.999705

n

2.0327

0.1061

0.0003

Sign.

n

2.4236

0.0591

3.18*10− 5

Sign.

2

k

0.5500

0.0325

2.73*10− 6

Sign.

0.051240

0.984082

0.981429

k

0.6287

0.0448

8.13*10− 6

Sign.

0.066857

0.972990

0.968488

n

1.7494

0.2608

0.0005

Sign.

n

2.4325

0.5073

0.0030

Sign.

3

k

0.5057

0.0315

2.25*10− 7

Sign.

0.057587

0.976517

0.973581

k

0.5803

0.0407

5.76*10− 7

Sign.

0.069326

0.965498

0.961185

n

1.8408

0.2992

0.0003

Sign.

n

2.4318

0.5322

0.0018

Sign.

Page

50

1

k

0.4323

0.0318

2.72*10− 6

Sign.

0.023454

0.996052

0.995488

k

0.4847

0.0646

0.0001

Sign.

0.043445

0.986282

0.984323

n

1.3207

0.0838

1.01*10− 6

Sign.

n

1.3450

0.1699

9.73*10− 5

Sign.

2

k

0.4617

0.0466

1.72*10− 6

Sign.

0.034878

0.988635

0.987498

k

0.5294

0.0751

3.50*10− 5

Sign.

0.051109

0.974895

0.972384

n

1.1323

0.1002

5.11*10− 7

Sign.

n

1.0771

0.1473

2.56*10− 5

Sign.

3

k

0.5167

0.0560

2.49*10− 7

Sign.

0.043783

0.976116

0.974410

k

0.5832

0.0796

3.75*10− 6

Sign.

0.056855

0.958889

0.955952

n

0.8495

0.0818

5.81*10− 8

Sign.

n

0.7993

0.1048

2.39*10− 6

Sign.

60

1

k

0.4054

0.0317

5.17*10− 5

Sign.

0.022760

0.997110

0.996532

k

0.4278

0.0674

0.0014

Sign.

0.045449

0.988545

0.986254

n

1.6056

0.1071

2.39*10− 5

Sign.

n

1.7928

0.2555

0.0009

Sign.

2

k

0.4336

0.0494

2.22*10− 5

Sign.

0.037163

0.989200

0.987850

k

0.4840

0.0823

0.0004

Sign.

0.057200

0.974055

0.970812

n

1.2555

0.1225

7.05*10− 6

Sign.

n

1.2345

0.1950

0.0002

Sign.

3

k

0.4326

0.0512

3.86*10− 6

Sign.

0.041321

0.983517

0.982019

k

0.4987

0.0790

5.73*10− 5

Sign.

0.058231

0.966456

0.963406

n

1.0888

0.1067

6.01*10− 7

Sign.

n

1.0151

0.1456

2.35*10− 5

Sign.

70

1

k

0.3394

0.0229

0.0007

Sign.

0.016984

0.998881

0.998508

k

0.3636

0.0111

6.28*10− 5

Sign.

0.007742

0.999779

0.999705

n

2.0327

0.1061

0.0003

Sign.

n

2.4236

0.0591

3.18*10− 5

Sign.

2

k

0.3513

0.0671

0.0019

Sign.

0.051240

0.984082

0.981429

k

0.3234

0.0919

0.0125

Sign.

0.066857

0.972990

0.968488

n

1.7494

0.2608

0.0005

Sign.

n

2.4325

0.5073

0.0030

Sign.

3

k

0.2851

0.0676

0.0029

Sign.

0.057587

0.976517

0.973581

k

0.2662

0.0884

0.0167

Sign.

0.069326

0.965498

0.961185

n

1.8408

0.2992

0.0003

Sign.

n

2.4318

0.5322

0.0018

Sign.

Wang-Sigh

50

1

b

-0.3509

0.0195

4.05*10− 7

Sign.

0.069024

0.965806

0.960921

b

-0.3629

0.0267

2.75*10− 6

Sign.

0.094503

0.935093

0.925820

a

0.0296

0.0030

2.19*10− 5

Sign.

a

0.0314

0.0041

0.0001

Sign.

2

b

-0.2788

0.0200

7.04*10− 8

Sign.

0.111925

0.882963

0.871260

b

-0.2836

0.0237

2.98*10− 7

Sign.

0.132561

0.831113

0.814224

a

0.0182

0.0022

1.06*10− 5

Sign.

a

0.0188

0.0027

3.54E*10− 5

Sign.

3

b

-0.2108

0.0165

4.31*10− 9

Sign.

0.145251

0.737131

0.718355

b

-0.2139

0.0184

1.42*10− 8

Sign.

0.161656

0.667642

0.643902

a

0.0104

0.0014

2.71*10− 6

Sign.

a

0.0106

0.0015

6.98*10− 6

Sign.

60

1

b

-0.4198

0.0222

7.66*10− 6

Sign.

0.052189

0.984803

0.981764

b

-0.4387

0.0334

4.58*10− 5

Sign.

0.078475

0.965848

0.959018

a

0.0434

0.0044

0.0002

Sign.

a

0.0469

0.0067

0.0009

Sign.

2

b

-0.3208

0.0212

3.64*10− 7

Sign.

0.088992

0.938070

0.930329

b

-0.3284

0.0264

1.62*10− 6

Sign.

0.110552

0.903087

0.890972

a

0.0246

0.0029

2.84*10− 5

Sign.

a

0.0256

0.0036

0.0001

Sign.

3

b

-0.2544

0.0179

1.97*10− 8

Sign.

0.113403

0.875854

0.864568

b

-0.2578

0.0210

9.33*10− 8

Sign.

0.133469

0.823770

0.807749

a

0.0152

0.0018

5.13*10− 6

Sign.

a

0.0155

0.0022

1.93*10− 5

Sign.

70

1

b

-0.4480

0.0579

0.0045

Sign.

0.076568

0.977254

0.969672

b

-0.5146

0.0764

0.0067

Sign.

0.101162

0.962186

0.949582

a

0.0475

0.0168

0.0669

InSign.

a

0.0650

0.0223

0.0615

InSign.

2

b

-0.3799

0.0292

1.27*10− 5

Sign.

0.085337

0.955849

0.948490

b

-0.3948

0.0381

4.70*10− 5

Sign.

0.111296

0.925150

0.912676

a

0.0352

0.0050

0.0004

Sign.

a

0.0377

0.0066

0.0012

Sign.

3

b

-0.3181

0.0248

1.28*10− 6

Sign.

0.103870

0.923602

0.914052

b

-0.3272

0.0297

4.08*10− 6

Sign.

0.124377

0.888945

0.875063

a

0.0243

0.0034

9.34*10− 5

Sign.

a

0.0255

0.0040

0.0002

Sign.

Weibullian

50

1

β

1.3207

0.0838

1.01*10− 6

Sign.

0.023454

0.996052

0.995488

β

1.3450

0.1699

9.73*10− 5

Sign.

0.043445

0.986282

0.984323

a

1.8871

0.0584

7.06*10− 9

Sign.

a

1.7134

0.1021

6.54*10− 7

Sign.

2

β

1.1323

0.1002

5.11*10− 7

Sign.

0.034878

0.988635

0.987498

β

1.0771

0.1473

2.56*10− 5

Sign.

0.051109

0.974895

0.972384

a

1.9788

0.0981

1.97*10− 9

Sign.

a

1.8049

0.1429

1.80*10− 7

Sign.

3

β

0.8495

0.0818

5.81*10− 8

Sign.

0.043783

0.976116

0.974410

β

0.7993

0.1048

2.39*10− 6

Sign.

0.056855

0.958889

0.955952

a

2.1754

0.1582

1.60*10− 9

Sign.

a

1.9632

0.2071

1.80*10− 7

Sign.

60

1

β

1.6056

0.1071

2.39*10− 5

Sign.

0.022760

0.997110

0.996532

β

1.7928

0.2555

0.0009

Sign.

0.045449

0.988545

0.986254

a

1.7548

0.0490

3.19*10− 7

Sign.

a

1.6058

0.0883

9.26*10− 6

Sign.

2

β

1.2555

0.1225

7.05*10− 6

Sign.

0.037163

0.989200

0.987850

β

1.2345

0.1950

0.0002

Sign.

0.057200

0.974055

0.970812

a

1.9458

0.0969

3.96*10− 8

Sign.

a

1.8000

0.1453

1.69*10− 6

Sign.

3

β

1.0888

0.1067

6.01*10− 7

Sign.

0.041321

0.983517

0.982019

β

1.0151

0.1456

2.35*10− 5

Sign.

0.058231

0.966456

0.963406

a

2.1589

0.1242

2.39*10− 9

Sign.

a

1.9844

0.1770

2.33*10− 7

Sign.

70

1

β

2.0327

0.1061

0.0003

Sign.

0.016984

0.998881

0.998508

β

2.4236

0.0591

3.18*10− 5

Sign.

0.007742

0.999779

0.999705

a

1.7016

0.0321

1.47*10− 5

Sign.

a

1.5181

0.0129

1.37*10− 6

Sign.

2

β

1.7494

0.2608

0.0005

Sign.

0.051240

0.984082

0.981429

β

2.4325

0.5073

0.0030

Sign.

0.066857

0.972990

0.968488

a

1.8183

0.1075

2.73*10− 6

Sign.

a

1.5906

0.1133

8.13*10− 6

Sign.

3

β

1.8408

0.2992

0.0003

Sign.

0.057587

0.976517

0.973581

β

2.4318

0.5322

0.0018

Sign.

0.069326

0.965498

0.961185

a

1.9775

0.1230

2.25*10− 7

Sign.

a

1.7233

0.1210

5.76*10− 7

Sign.

Weibullian I

50

1

n

1.3207

0.0838

1.01*10− 6

Sign.

0.023454

0.996052

0.995488

n

1.3450

0.1699

9.73*10− 5

Sign.

0.043445

0.986282

0.984323

δ

3.5485

0.1610

9.99*10− 8

Sign.

δ

3.1854

0.2815

9.42*10− 6

Sign.

2

n

1.1323

0.1002

5.11*10− 7

Sign.

0.034878

0.988635

0.987498

n

1.0771

0.1473

2.56*10− 5

Sign.

0.051109

0.974895

0.972384

δ

4.1335

0.2840

4.67*10− 8

Sign.

δ

3.9151

0.4200

3.02*10− 6

Sign.

3

n

0.8495

0.0818

5.81*10− 8

Sign.

0.043783

0.976116

0.974410

n

0.7993

0.1048

2.39*10− 6

Sign.

0.056855

0.958889

0.955952

δ

5.8069

0.5006

1.44*10− 8

Sign.

δ

5.5736

0.6611

7.40*10− 7

Sign.

60

1

n

1.6056

0.1071

2.39*10− 5

Sign.

0.022760

0.997110

0.996532

n

1.7928

0.2555

0.0009

Sign.

0.045449

0.988545

0.986254

δ

2.9500

0.1257

2.61*10− 6

Sign.

δ

2.5569

0.2181

7.94*10− 5

Sign.

2

n

1.2555

0.1225

7.05*10− 6

Sign.

0.037163

0.989200

0.987850

n

1.2345

0.1950

0.0002

Sign.

0.057200

0.974055

0.970812

δ

3.7810

0.2715

6.84*10− 7

Sign.

δ

3.5373

0.4109

2.56*10− 5

Sign.

3

n

1.0888

0.1067

6.01*10− 7

Sign.

0.041321

0.983517

0.982019

n

1.0151

0.1456

2.35*10− 5

Sign.

0.058231

0.966456

0.963406

δ

4.6440

0.3637

6.13*10− 8

Sign.

δ

4.5130

0.5295

3.56*10− 6

Sign.

70

1

n

2.0327

0.1061

0.0003

Sign.

0.016984

0.998881

0.998508

n

2.4236

0.0591

3.18*10− 5

Sign.

0.007742

0.999779

0.999705

δ

2.5649

0.0738

5.24*10− 5

Sign.

δ

2.1416

0.0269

4.35*10− 6

Sign.

2

n

1.7494

0.2608

0.0005

Sign.

0.051240

0.984082

0.981429

n

2.4325

0.5073

0.0030

Sign.

0.066857

0.972990

0.968488

δ

2.9290

0.2648

3.25*10− 5

Sign.

δ

2.2412

0.2326

7.16*10− 5

Sign.

3

n

1.8408

0.2992

0.0003

Sign.

0.057587

0.976517

0.973581

n

2.4318

0.5322

0.0018

Sign.

0.069326

0.965498

0.961185

δ

3.1109

0.2953

5.75*10− 6

Sign.

δ

2.4283

0.2532

1.16*10− 5

Sign.

  1. MMs: mathematical models. DAT: drying air temperature, ºC; LT; layer thickness, cm: k1, k2 and k: drying constants, h− 1; a, b, c, n, ɤ, β and δ: mathematical models constants or parameters, dimensionless; S.E: Standard error; Sign. – InSign: Significant – InSignificant at p ≤ 0.05; RMSE: The root mean square error; R2: The coefficient of determination; R2adj.: The adjusted coefficient of determination.