Research Article
Drying Characteristics and Model of Chinese Hawthorn Using Microwave Coupled with Hot Air
Table 3
Statistical results of 12 models at different drying conditions.
| Model | Experimental factors | Evaluation criteria | Experimental factors | Evaluation criteria | Experimental factors | Evaluation criteria | (°C) | (m/s) | (w/g) | | | RMSE | (°C) | (m/s) | (w/g) | | | RMSE | (°C) | (m/s) | (w/g) | | | RMSE |
| Newton | 50 | 2 | 9 | 0.93996 | 0.00463 | 0.06802 | 60 | 1 | 9 | 0.95211 | 0.00419 | 0.06471 | 60 | 2 | 3 | 0.96803 | 0.00284 | 0.05327 | 55 | 2 | 9 | 0.95286 | 0.004 | 0.06322 | 60 | 1.5 | 9 | 0.95682 | 0.00399 | 0.06317 | 60 | 2 | 6 | 0.93824 | 0.00567 | 0.07527 | 60 | 2 | 9 | 0.95059 | 0.00475 | 0.06891 | 60 | 2 | 9 | 0.95625 | 0.0042 | 0.06478 | 60 | 2 | 9 | 0.95589 | 0.00414 | 0.06433 | 65 | 2 | 9 | 0.96072 | 0.00337 | 0.05807 | 60 | 2.5 | 9 | 0.94461 | 0.00449 | 0.06701 | 60 | 2 | 12 | 0.93763 | 0.00563 | 0.07502 | 70 | 2 | 9 | 0.93896 | 0.00438 | 0.06615 | 60 | 3 | 9 | 0.95038 | 0.00455 | 0.06745 | 60 | 2 | 15 | 0.9328 | 0.00645 | 0.08034 |
| Page | 50 | 2 | 9 | 0.97907 | 0.0017 | 0.0412 | 60 | 1 | 9 | 0.98064 | 0.00181 | 0.0425 | 60 | 2 | 3 | 0.99839 | 0.000150 | 0.01226 | 55 | 2 | 9 | 0.99489 | 0.000461 | 0.02146 | 60 | 1.5 | 9 | 0.99206 | 0.000783 | 0.02798 | 60 | 2 | 6 | 0.99895 | 0.000103 | 0.01013 | 60 | 2 | 9 | 0.99472 | 0.000542 | 0.02327 | 60 | 2 | 9 | 0.99622 | 0.000386 | 0.01965 | 60 | 2 | 9 | 0.99367 | 0.000633 | 0.02517 | 65 | 2 | 9 | 0.99165 | 0.000756 | 0.0275 | 60 | 2.5 | 9 | 0.98102 | 0.00164 | 0.04052 | 60 | 2 | 12 | 0.99898 | 0.0000990 | 0.00995 | 70 | 2 | 9 | 0.96146 | 0.00293 | 0.05409 | 60 | 3 | 9 | 0.99003 | 0.000962 | 0.03102 | 60 | 2 | 15 | 0.99471 | 0.000551 | 0.02347 |
| Henderson and Pabis | 50 | 2 | 9 | 0.94659 | 0.06415 | 0.06415 | 60 | 1 | 9 | 0.96106 | 0.00363 | 0.06027 | 60 | 2 | 3 | 0.98414 | 0.00148 | 0.03845 | 55 | 2 | 9 | 0.9702 | 0.00268 | 0.05181 | 60 | 1.5 | 9 | 0.96854 | 0.0031 | 0.05569 | 60 | 2 | 6 | 0.96072 | 0.00384 | 0.062 | 60 | 2 | 9 | 0.96562 | 0.00352 | 0.05937 | 60 | 2 | 9 | 0.9703 | 0.00304 | 0.05512 | 60 | 2 | 9 | 0.96795 | 0.00321 | 0.05663 | 65 | 2 | 9 | 0.97023 | 0.0027 | 0.05194 | 60 | 2.5 | 9 | 0.95489 | 0.0039 | 0.06246 | 60 | 2 | 12 | 0.95652 | 0.0042 | 0.06483 | 70 | 2 | 9 | 0.94336 | 0.0043 | 0.06557 | 60 | 3 | 9 | 0.96314 | 0.00356 | 0.05964 | 60 | 2 | 15 | 0.94608 | 0.00561 | 0.07491 |
| Two term | 50 | 2 | 9 | 0.99662 | 0.000307 | 0.01752 | 60 | 1 | 9 | 0.99647 | 0.000380 | 0.01948 | 60 | 2 | 3 | 0.99653 | 0.000359 | 0.01895 | 55 | 2 | 9 | 0.97991 | 0.00207 | 0.04548 | 60 | 1.5 | 9 | 0.99865 | 0.000154 | 0.0124 | 60 | 2 | 6 | 0.99717 | 0.000320 | 0.01788 | 60 | 2 | 9 | 0.97662 | 0.00277 | 0.05259 | 60 | 2 | 9 | 0.99831 | 0.000200 | 0.01414 | 60 | 2 | 9 | 0.99938 | 0.0000721 | 0.00849 | 65 | 2 | 9 | 0.99803 | 0.000201 | 0.01417 | 60 | 2.5 | 9 | 0.96088 | 0.0039 | 0.06247 | 60 | 2 | 12 | 0.97758 | 0.00253 | 0.05029 | 70 | 2 | 9 | 0.9972 | 0.000241 | 0.01551 | 60 | 3 | 9 | 0.99938 | 0.0000666 | 0.00816 | 60 | 2 | 15 | 0.9665 | 0.00414 | 0.06433 |
| Two-term exponential | 50 | 2 | 9 | 0.93992 | 0.00487 | 0.06981 | 60 | 1 | 9 | 0.97811 | 0.00204 | 0.04518 | 60 | 2 | 3 | 0.99829 | 0.000160 | 0.01263 | 55 | 2 | 9 | 0.99275 | 0.000653 | 0.02556 | 60 | 1.5 | 9 | 0.98915 | 0.00107 | 0.0327 | 60 | 2 | 6 | 0.99549 | 0.000441 | 0.02101 | 60 | 2 | 9 | 0.99106 | 0.000917 | 0.03028 | 60 | 2 | 9 | 0.99344 | 0.000671 | 0.02591 | 60 | 2 | 9 | 0.99051 | 0.000950 | 0.03082 | 65 | 2 | 9 | 0.98941 | 0.000959 | 0.03097 | 60 | 2.5 | 9 | 0.97733 | 0.00196 | 0.04428 | 60 | 2 | 12 | 0.99531 | 0.000454 | 0.0213 | 70 | 2 | 9 | 0.96033 | 0.00301 | 0.05488 | 60 | 3 | 9 | 0.986 | 0.00135 | 0.03675 | 60 | 2 | 15 | 0.98566 | 0.00149 | 0.03863 |
| Verma et al. | 50 | 2 | 9 | 0.95331 | 0.004 | 0.06323 | 60 | 1 | 9 | 0.96704 | 0.00329 | 0.05739 | 60 | 2 | 3 | 0.99211 | 0.000774 | 0.02782 | 55 | 2 | 9 | 0.97991 | 0.00193 | 0.04394 | 60 | 1.5 | 9 | 0.97738 | 0.00239 | 0.04888 | 60 | 2 | 6 | 0.97418 | 0.00271 | 0.05202 | 60 | 2 | 9 | 0.97662 | 0.00257 | 0.05068 | 60 | 2 | 9 | 0.98047 | 0.00214 | 0.04627 | 60 | 2 | 9 | 0.97683 | 0.00248 | 0.04984 | 65 | 2 | 9 | 0.9755 | 0.00235 | 0.04848 | 60 | 2.5 | 9 | 0.96088 | 0.00362 | 0.0602 | 60 | 2 | 12 | 0.97758 | 0.00233 | 0.04832 | 70 | 2 | 9 | 0.9455 | 0.0044 | 0.0663 | 60 | 3 | 9 | 0.9707 | 0.00299 | 0.05464 | 60 | 2 | 15 | 0.96685 | 0.00376 | 0.06134 |
| Logarithmic | 50 | 2 | 9 | 0.99579 | 0.000361 | 0.01899 | 60 | 1 | 9 | 0.99224 | 0.000775 | 0.02784 | 60 | 2 | 3 | 0.97221 | 0.00273 | 0.05222 | 55 | 2 | 9 | 0.99309 | 0.000664 | 0.02577 | 60 | 1.5 | 9 | 0.99425 | 0.000607 | 0.02464 | 60 | 2 | 6 | 0.99275 | 0.000760 | 0.02756 | 60 | 2 | 9 | 0.99496 | 0.000554 | 0.02354 | 60 | 2 | 9 | 0.99054 | 0.00104 | 0.03219 | 60 | 2 | 9 | 0.99495 | 0.000542 | 0.02328 | 65 | 2 | 9 | 0.99309 | 0.000663 | 0.02576 | 60 | 2.5 | 9 | 0.99711 | 0.000268 | 0.01637 | 60 | 2 | 12 | 0.98199 | 0.00188 | 0.0433 | 70 | 2 | 9 | 0.98706 | 0.00104 | 0.03231 | 60 | 3 | 9 | 0.99695 | 0.000310 | 0.01762 | 60 | 2 | 15 | 0.99658 | 0.000388 | 0.0197 |
| Wang and Singh | 50 | 2 | 9 | 0.995 | 0.000405 | 0.02013 | 60 | 1 | 9 | 0.99358 | 0.000599 | 0.02447 | 60 | 2 | 3 | 0.99388 | 0.000571 | 0.02389 | 55 | 2 | 9 | 0.99593 | 0.000367 | 0.01916 | 60 | 1.5 | 9 | 0.99847 | 0.000151 | 0.01228 | 60 | 2 | 6 | 0.99336 | 0.000649 | 0.02548 | 60 | 2 | 9 | 0.99846 | 0.000158 | 0.01259 | 60 | 2 | 9 | 0.99774 | 0.000231 | 0.01519 | 60 | 2 | 9 | 0.99927 | 0.000730 | 0.00855 | 65 | 2 | 9 | 0.99805 | 0.000176 | 0.01328 | 60 | 2.5 | 9 | 0.99673 | 0.000282 | 0.01681 | 60 | 2 | 12 | 0.98791 | 0.00117 | 0.03419 | 70 | 2 | 9 | 0.03501 | 0.00123 | 0.03501 | 60 | 3 | 9 | 0.99904 | 0.0000931 | 0.00965 | 60 | 2 | 15 | 0.99672 | 0.000341 | 0.01848 |
| Approximation of diffusion | 50 | 2 | 9 | 0.99501 | 0.000427 | 0.02067 | 60 | 1 | 9 | 0.99378 | 0.000621 | 0.02492 | 60 | 2 | 3 | 0.993 | 0.000687 | 0.02621 | 55 | 2 | 9 | 0.99587 | 0.000396 | 0.01991 | 60 | 1.5 | 9 | 0.99848 | 0.000161 | 0.01268 | 60 | 2 | 6 | 0.99332 | 0.000700 | 0.02645 | 60 | 2 | 9 | 0.9984 | 0.000176 | 0.01326 | 60 | 2 | 9 | 0.99755 | 0.000269 | 0.01639 | 60 | 2 | 9 | 0.99924 | 0.0000812 | 0.00901 | 65 | 2 | 9 |
0.998 | 0.000189 | 0.01375 | 60 | 2.5 | 9 | 0.99674 | 0.000302 | 0.01737 | 60 | 2 | 12 | 0.98754 | 0.0013 | 0.03602 | 70 | 2 | 9 | 0.98392 | 0.0013 | 0.03602 | 60 | 3 | 9 | 0.99908 | 0.0000936 | 0.00967 | 60 | 2 | 15 | 0.99671 | 0.000373 | 0.01931 |
| Midilli et al. | 50 | 2 | 9 | 0.99366 | 0.000574 | 0.02397 | 60 | 1 | 9 | 0.99405 | 0.000641 | 0.02531 | 60 | 2 | 3 | 0.69049 | 0.03206 | 0.17904 | 55 | 2 | 9 | 0.30344 | 0.07171 | 0.26779 | 60 | 1.5 | 9 | 0.99855 | 0.000165 | 0.01283 | 60 | 2 | 6 | 0.31333 | 0.07752 | 0.27843 | 60 | 2 | 9 | 0.99915 | 0.000101 | 0.01004 | 60 | 2 | 9 | 0.99905 | 0.000112 | 0.01056 | 60 | 2 | 9 | 0.33137 | 0.07721 | 0.27787 | 65 | 2 | 9 | 0.38454 | 0.06274 | 0.25048 | 60 | 2.5 | 9 | 0.99716 | 0.000284 | 0.01684 | 60 | 2 | 12 | 0.16359 | 0.09434 | 0.30715 | 70 | 2 | 9 | 0.98799 | 0.00103 | 0.03214 | 60 | 3 | 9 | 0.99919 | 0.0000869 | 0.00932 | 60 | 2 | 15 | 0.43633 | 0.07038 | 0.2653 |
| Modified page | 50 | 2 | 9 | 0.97907 | 0.0017 | 0.0412 | 60 | 1 | 9 | 0.98064 | 0.00181 | 0.0425 | 60 | 2 | 3 | 0.99839 | 0.0001.0 | 0.01226 | 55 | 2 | 9 | 0.99489 | 0.000461 | 0.02146 | 60 | 1.5 | 9 | 0.99206 | 0.000783 | 0.02797 | 60 | 2 | 6 | 0.99895 | 0.000103 | 0.01013 | 60 | 2 | 9 | 0.99472 | 0.000542 | 0.02327 | 60 | 2 | 9 | 0.99622 | 0.000386 | 0.01965 | 60 | 2 | 9 | 0.99367 | 0.000633 | 0.02517 | 65 | 2 | 9 | 0.99165 | 0.000756 | 0.0275 | 60 | 2.5 | 9 | 0.98102 | 0.00164 | 0.04051 | 60 | 2 | 12 | 0.999 | 0.0000990 | 0.00995 | 70 | 2 | 9 | 0.96146 | 0.00293 | 0.05409 | 60 | 3 | 9 | 0.99003 | 0.000962 | 0.03102 | 60 | 2 | 15 | 0.99471 | 0.000551 | 0.02346 |
| Weibull distribution | 50 | 2 | 9 | 0.99578 | 0.000383 | 0.01956 | 60 | 1 | 9 | 0.99477 | 0.000563 | 0.02373 | 60 | 2 | 3 | 0.99866 | 0.000139 | 0.01177 | 55 | 2 | 9 | 0.99762 | 0.000245 | 0.01565 | 60 | 1.5 | 9 | 0.9986 | 0.000159 | 0.01262 | 60 | 2 | 6 | 0.99961 | 0.0000444 | 0.00666 | 60 | 2 | 9 | 0.99915 | 0.000101 | 0.01005 | 60 | 2 | 9 | 0.99896 | 0.000123 | 0.01107 | 60 | 2 | 9 | 0.99941 | 0.0000678 | 0.00823 | 65 | 2 | 9 | 0.99802 | 0.000201 | 0.01419 | 60 | 2.5 | 9 | 0.99722 | 0.000277 | 0.01665 | 60 | 2 | 12 | 0.99912 | 0.0000994 | 0.00997 | 70 | 2 | 9 | 0.98706 | 0.00111 | 0.03336 | 60 | 3 | 9 | 0.99918 | 0.0000884 | 0.0094 | 60 | 2 | 15 | 0.99822 | 0.000222 | 0.0149 |
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Note: “” represents temperature, “” represents velocity, and “” represents power density.
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