Modeling and optimization of a stepwise strategy with microwave treatment in a vacuum drying system (Analysis of quality indices)

Document Type : Applicable

Authors

1 PhD Student, Department of Biosystems Engineering, Faculty of Agriculture, Bu-Ali Sina University, Hamedan, Iran

2 Professor, Department of Biosystems Engineering, Faculty of Agriculture, Bu-Ali Sina University, Hamedan, Iran

3 Assistant Professor, Department of Biosystems Engineering, Faculty of Agriculture, Bu-Ali Sina University, Hamedan, Iran

4 Professor, Department of Horticultural Sciences, Faculty of Agriculture, Bu-Ali Sina University, Hamedan, Iran

Abstract
Introduction: Beetroot (Beta vulgaris) is a great source of diverse essential nutrients such as dietary fibers, betalains, vitamins and carbohydrates. Drying of fruits and vegetables is considered as an engineering strategy in food industry, pointed at applying a set of operations to enhance shelf life, ensure perennial market supply, reduce packing and transportation costs, and enhance the quality of the final product. Simultaneously this is a massive energy consumption among food industries. Numerous efforts have been made to reduce the cost of drying agricultural products through various methods, including the manufacturing of new equipment and the efficiency maximization of existing systems. In the present work, it was appraised whether by means of new drying technique of step-down mode of stepwise temperature change conditions in a vacuum dryer apparatus, could be a probable proper alternative for manufacturing new devices which tremendously, requires expenditure of time and disbursement.
Materials and Methods: In this research the impact of a laboratory infrared-vacuum dryer and a new drying technique of stepwise temperature with the same device were investigated. The new strategy was assisted by a microwave treatment using a home scale Toshiba microwave. The present study was purposed to comprehend the effects of above-mentioned drying methods on the drying behavior of 4 mm red beetroot slices in addition to physical properties including color indices of (ΔL*, Δa*, Δb*) and shrinkage; Chemical properties of vitamin C and antioxidant component; Thermal properties of effective moisture diffusivity and drying kinetics and specific energy consumption as well as environmental aspects of greenhouse gasses (GHG) emissions. Beetroot slices were exposed to three levels of temperature (45, 60 and 75 °C) and absolute pressure (20, 50 and 80 kPa) as normal drying. Also, three levels of microwave power and times (at 150, 300, and 450 W) and (0, 10, and 20s) for stepwise conditions were applied.
Results and Discussion: Results showed that R2 value of normal and stepwise drying methods were between (92.73 – 99.92%) & (94.34 – 99.92%) respectively. The high values of R2 indicates that there is a strong relationship between experimental foundlings and predicted proposed model quantities. Furthermore, the CV percentage for them was less than 6.93 and 6.16 for normal and stepwise drying methods correspondingly; that illustrates a good repeatability of related models. All studied variables demonstrate non-significant lack of fit values that exhibit a good prediction ability for dependent variables. Therefore, models offer a good reliability in all dependent variables. Temperature factor had significant effect on all studied parameters in normal vacuum drying at 0.1% level. Absolute vacuum pressure affected significantly at different levels on all variables excluding SECtotal, CO2 and NOx for both methods; Unless otherwise the effect of temperature on dependent variables was more considerable comparing to absolute vacuum pressure. Power level and duration of microwave application in stepwise strategy had significant effect at 0.1% level on all dependent variables excluding AA. Interaction effect of temperature and vacuum pressure was more significant in normal vacuum drying. Stepwise method showed more considerable effect of microwave power application time interacting with vacuum pressure and microwave power level. The desirability values were found 0.606 and 0.610 for normal vacuum and stepwise method respectively. The optimization by using the Response Surface Methodology (RSM), was detected at 65 ℃ and 20 kPa for normal vacuum drying. Besides that, pressure vacuum of 45 kPa, 360 W of microwave power and 10 s of microwave power application was found as optimum point for stepwise drying method. Compared to normal vacuum drying at optimal conditions, the stepwise method reduced NOx and CO2 emissions by 27.91% and 27.80%, respectively, and decreased specific energy consumption by 28.18%. Additionally, improvements in color parameters were observed, with Δa* and ΔL* increasing by 18.80% and 9.87%, respectively. However, Δb* showed a 14% color degradation, and shrinkage increased by 38.62%. Furthermore, reductions in vitamin C loss index and antioxidant activity were recorded at 11.31% and 11.23%, respectively.
Conclusion: Using stepwise drying strategy had a close but lower impact on quality and physical parameters; whereas, showed a great positive difference on greenhouse gasses emission and specific energy consumption. This method also needs less energy to create absolute vacuum pressure (45 kPa compared to 20 kPa for normal method) to gain the mentioned results. Therefore, stepwise strategy is recommended for drying of red beetroot, as it offers a more energy-efficient approach while maintaining product quality and reducing environmental impact. Furthermore; this technique is proposed for new research studies that can be experimented with different agricultural products. 
 

Keywords

Subjects

  1. Abdollahzadeh Delazi, M., Amiri Chayjan, R. and Kaveh, M. 2024. Optimizing the GHG emissions and energy consumption of power plants in the industry of vacuum drying using a controlled atmosphere method (case study: apple pulp). Clean Technologies and Environmental Policy, 26: 2899–2918. https://doi.org/10.1007/s10098-024-02778-2.
  2. Ahmadi Ghavidelan, M., and Amiri Chayjan, R. 2017. Modeling engineering characteristics of hazelnut kernel during infrared fluidized bed drying. Food Measure, 11: 460–478. DOI 10.1007/s11694-016-9414-0.
  3. Alwazeer, D., and Tan, B. 2019. Reducing atmosphere drying as a novel drying technique for preserving the sensorial and nutritional notes of foods. Journal of Food Science and Technology -Mysore-, 56(8): 3790–3800. https:// doi. org/ 10. 1007/ s13197- 019- 03850-2.
  4. Amiri Chayjan, R., Dibagar, N., and Alaei, B. 2017. Drying characteristics of zucchini slices under periodic infrared-microwave vacuum conditions. Heat Mass Transfer, 53:3473–3485. DOI 10.1007/s00231-017-2081-9.
  5. Chen, C., Venkitasamy, C., Zhang, W., Deng, L., Meng, X., and Pan, Z. 2020. Effect of step-down temperature drying on energy consumption and product quality of walnuts. Journal of Food Engineering, (under press) https://doi.org/10.1016/j.jfoodeng.2020.110105.
  6. Chupawa, P., Gaewsondee, T., and Duangkhamchan, W. 2021. Drying characteristics and quality attributes affected by a fluidized-bed drying assisted with swirling compressed-air for preparing instant red jasmine rice. Processes, 9(10): 1738. https://doi.org/10.3390/pr9101738.
  7. Chupawa, P., Inchuen, S., Jaisut, D., Ronsse, F., and Duangkhamchan, W. 2023. Effects of Stepwise Microwave Heating and Expanded Bed Height Control on the Performance of Combined Fluidized Bed/Microwave Drying for Preparing Instant Brown Rice. Food and Bioprocess Technology, 16: 199–215. https://doi.org/10.1007/s11947-022-02933-x
  8. Chupawa, P., Suksamran, W., Jaisut, D., Ronsse, F., and Duangkhamchan, W. (2022). Combined Heat and Mass Transfer Associated with Kinetics Models for Analyzing Convective Stepwise Drying of Carrot Cubes. Foods, 11(24), 4045. https://doi.org/10.3390/foods11244045.
  9. Cuervo-Andrade, S. P. and Hensel, O. 2016. Stepwise drying of medicinal plants as alternative to reduce time and energy processing. Materials Science and Engineering, 138, 012014 doi:10.1088/1757-899X/138/1/012014.
  10. Degen, F. and Schutte, M. 2022. Life cycle assessment of the energy consumption and GHG emissions of state-of-the-art automotive battery cell production. Journal of Cleaner Production,330,129798. https:// doi. org/ 10.1016/j. jclep ro. 2021. 129798.
  11. Dehghannya, J., Bozorghi, S. and Heshmati, M.K. 2018a. Low temperature hot air drying of potato cubes subjected to osmotic dehydration and intermittent microwave: drying kinetics, energy consumption and product quality indexes. Heat Mass Transfer, 54: 929–954. https://doi.org/10.1007/s00231-017-2202-5.
  12. Dehghannya, J., Farshad, P., and Khakbaz Heshmati, M. 2018b. Three-stage hybrid osmotic–intermittent microwave–convective drying of apple at low temperature and short time. Drying Technology, 36(16): 1982–2005. https://doi.org/10.1080/07373937.2018.1432642.
  13. El Hathat Z, Sreedharan VR, Venkatesh VG, Zouadi T, and Arunmozhi 2023. Modelling and analyzing the GHG emissions in the VUCA world: Evidence from tomato production in Morocco. Journal of Cleaner Production, 382,134862. https:// doi. org/ 10. 1016/j. jclep ro. 2022. 134862.
  14. Elkelawy, M., El Shenawy, E. A., Bastawissi, H. A. E., Shams, M. M., and Panchal, H. 2022. A comprehensive review on the effects of diesel/biofuel blends with nanofluid additives on compression ignition engine by response surface methodology. Energy Conversion and Management: X, 14, 100177. https:// doi. org/ 10. 1016/j. ecmx. 2021. 100177.
  15. Fathabadi, M., Tabatabaekoloor, and R., Motevali 2020. Modeling and comparison of color changes and shrinkage of thin layer drying of red beetroot in different dryers. Journal of Food Science and Technology, 93(16): 127-142. (in persian).
  16. Figiel, A., and Michalska, A. 2017. Overall Quality of Fruits and Vegetables Products Affected by the Drying Processes with the Assistance of Vacuum-Microwave. International Journal of Molecular Sciences, 71: 1-18. doi:10.3390/ijms18010071.
  17. Freshfel Europe’s (2024) Consumption data. Retrieved from https://fresh fel. org/ what- we- do/consumption-monitor/. Last seen: 16 Jan 2025.
  18. Gaudel, N., Gaiani, C., Harshe, Y. M., Kammerhofer, J., Pouzot, M., Desobry, S., and Burgain, J. 2022. Reconstitution of fruit powders: A processstructure function approach. Journal of Food Engineering, 315. https://doi.org/10.1016/j.jfoodeng.2021.110800.
  19. Ghasemi, A., and Chayjan, R. A. 2018. Optimization of Pelleting and Infrared-Convection Drying Processes of Foodand Agricultural Waste Using Response Surface Methodology (RSM). Waste and Biomass Valorization, 10(6): 1711-1729. DOI 10.1007/s12649-017-0178-5.
  20. Ghasemi, A., and Chayjan, R. A. 2019. Numerical simulation of vitamin C degradation during dehydration process of fresh Journal of Food Process Engineering, 42(6). https://doi.org/10.1111/jfpe.13189
  21. Ghasemi, A., Amiri Chayjan, R., and Azizi Tabriz zad, M. H. 2019. Study on Drying, Powdering and Compression Processes to produce Healthy Tablet from Fresh Tomatoes. Journal of Food Science and Technology (Iran), 90(16): 201-216. (in persian).
  22. Hadipour E, Taleghani A, Tayarani‐Najaran N, and Tayarani‐Najaran Z. 2020. Biological effects of red beetroot and betalains: A review. Phytotherapy Research. 34(8): 1847-67. doi: 10.1002/ptr.6653.
  23. Hafezi, N., Sheikhe Davoodi, M. J., and Sajjadieh, S. M. 2016. A Study of Drying Rate of Sliced Potatoes during Radiation-Vacuum Drying Process using Regression and Artificial Neural Network Models. Iranian Journal of Biosystems Engineering, 47(2): 279-289. doi: 10.22059/ijbse.2016.58777. (In persian).
  24. Hameeda, A., Maana, A.A., Khana, M. K. I., Khanc, Imran, M., Niazic, S., Iqbald, M. W., Riazd, T., Manzoore, M. F., and Abdallac, M. 2023. Evaporation kinetics and quality attributes of grape juice concentrate as affected by microwave and vacuum processing. International Journal of Food Properties, 26(1): 1596–1611. https://doi.org/10.1080/10942912.2023.2218062.
  25. Hii, C.L., Ong, S.P., Yap, J.Y., Putranto, A., and Mangindaan, D. 2021. Hybrid drying of food and bioproducts: a review. Drying Technology, 39(11): 1524-1576. https://doi.org/10.1080/07373937.2021.1914078.
  26. Hoegh-Guldberg, O., Jacob, D., Taylor, M., Guillen Bolanos, T., Bindi, M., Brown, S., and Zhou, G. 2019. The human imperative of stabilizing global climate change at 1.5 °C. Science, 365(6459): eaaw6974. https:// doi. org/ 10. 1126/ scien ce. aaw69 74.
  27. Homayounfar, H. and Amiri- Chayjan, R. 2024. Improving Orange Pomace Dehydration Process through a New Controlled Atmosphere Dryer under Vacuum Conditions: A Bioactive Compound Investigation and Optimization. Iranian Journal of Chemistry and Chemical Engineering (IJCCE), 43(3): 1252-  DOI:10.30492/ijcce.2023.1999762.5955.
  28. Ismail, O., Seyhun Kipcak, A. S., and Doymaz, I. 2019. Drying of Okra by Different Drying Methods: Comparison of Drying time, Product Color Quality, Energy Consumption and Rehydration. Athens Journal of Sciences, 6(3): 155-168. https://doi.org/10.30958/ajs.6-3-1.
  29. Jha, P., Meghwal, M., and Prabhakar, PK. 2021. Microwave drying of banana blossoms (Musa acuminata): mathematical modeling and drying energetics. Journal of Food Process Preserv, 45(9): e15717. https:// doi. org/ 10. 1111/ jfpp. 15717.
  30. Jiang, H., Zhang, M., S Mujumdar, A., and Limd. R. X. 2014. Comparison of drying characteristic and uniformity of banana cubes dried by pulse-spoutedmicrowave vacuum drying, freeze drying and microwave freeze drying. Journal of Science Food Agriculture. 94: 1827–1834. DOI: 10.1002/jsfa.6501.
  31. Kantrong, H., Tansakul, A., and Mittal, GS. 2014. Drying characteristics and quality of shiitake mushroom undergoing microwave-vacuum drying and microwave-vacuum combined with infrared drying. Journal of Food Science and Technology, 51(12): 3594-608. doi: 10.1007/s13197-012-0888-4.
  32. Kaveh, M. Using artificial neural networks (ANNs) method in investigation and estimation of some drying characteristics of eggplant and turnip in a combined microwave – convective dryer. Journal of Food Science and Technology, 70(14): 27-46. (In persian).
  33. Kaveh, M., and Abbaspour-Gilandeh, Y. 2022. Drying Characteristics, Specific Energy Consumption, Qualitative Properties, Total Phenol Compounds, and Antioxidant Activity During Hybrid Hot Air-Microwave-Rotary Drum Drying of Green Pea. Iranian Journal of Chemistry and Chemical Engineering, 41(2): 652-669. Doi: 30492/ijcce.2020.127111.4114.
  34. Kaveh, M., Abbaspour, Y., and Nowacka, M. 2021. Optimisation of microwave-rotary drying process and quality parameters of terebinth. Biosystems Engineering, 20(8): 113-130. DOI: 10.1016/j.biosystemseng.2021.05.013.
  35. Khanlari, A., Gu¨ ler, H.€ O., Tuncer, A. D., S‚ irin, C., Bilge, Y. C., Yılmaz, Y., et al. 2020. Experimental and numerical study of the effect of integrating plus-shaped perforated baffles to solar air collector in drying application. Renewable Energy, 145: 1677-1692. https://doi.org/10.1016/j.renene.2019.07.076.
  36. Klein, BP., and Perry, AK. 1982. Ascorbic acid and vitamin A activity in selected vegetables from different geographical areas of the United States. Journal of Food Science, 47: 941-945. https://doi.org/10.1111/j.1365-2621.1982.tb12750.x.
  37. Kumar, A., Kandasamy, P., Chakraborty, I., and Hangshing, L. 2022. Analysis of energy consumption, heat and mass transfer, drying kinetics and effective moisture diffusivity during foam-mat drying of mango in a convective hot-air dryer. Biosystems Engineering, 219: 85–102. https://doi.org/10.1016/j.biosystemseng.2022.04.026.
  38. Kumar, C., Karim, M. A., and Joardder, M. U. 2014. Intermittent drying of food products: A critical review. Journal of Food Engineering, 12: 48-57. http://dx.doi.org/10.1016/j.jfoodeng.2013.08.014.
  39. Leilayi, M., arabhosseini, A., Akhijahani, H.S., Kaveh, M., nezamlou, N., and Aghaei, M. 2024. Energy and exergy efficiencies of batch paddy rice drying with liquefied petroleum gas dehumidification: A comprehensive analysis using adaptive neuro-fuzzy inference system and artificial neural networks approaches. Energy Conversion and Management. (under press). doi: https://doi.org/10.1016/j.ecmx.2024.100826.
  40. Liu, S., Zhu, W., Bai, X., You, T., and Yan, J. 2019. Effect of ultrasonic energy density on moisture transfer during ultrasound enhanced vacuum drying of honey. Journal of Food Measurement and Characterization, 13(1): 559-570.‏ https://doi.org/10.1007/s11694-018-9969-z.
  41. Liu, Y., Sabadash, S., Duan, Z., and Deng, C. 2022. The influence of different drying methods on the quality attributes of beetroots. Eastern-European Journal of Enterprise Technologies, 3 (11 (117)): 60–68. doi: https://doi.org/10.15587/1729-4061.2022.
  42. Long, X., Cai, L., and Li, W. 2019. RSM-based assessment of pavement concrete mechanical properties under joint action of corrosion, fatigue, and fiber content. Construction and Building Materials, 197: 406-420.‏ https://doi.org/10.1016/j.conbuildmat.2018.11.157.
  43. Mella, C., Vega-Gálvez, A., Uribe, E., Pasten, A., Mejias, N., Quispe- Fuentes, I. 2022. Impact of vacuum dryingon drying characteristics and functional properties of beetroot (Beta vulgaris), Applied Food Research, 2: 100 -120. https://doi.org/10.1016/j.afres.2022.100120.
  44. Mitrevski, J., Panteli´c, N.Ð., Dodevska, M.S., Koji´c, J.S., Vuli´c, J.J., Zlatanovi´c, S., Gorjanovi´c, S., Laliˇci´c-Petronijevi´c, J., Marjanovi´c, S., and Anti´c, V.V. 2023. Effect of Beetroot Powder Incorporation on Functional Properties and Shelf Life of Biscuits. Foods, 12, 322. https://doi.org/ 10.3390/foods12020322.
  45. Monteiro, R. L., Garcia, A. H., Tribuzi, G., Mattar Carciofi, B. A., and Laurindo, J. B. 2021. Microwave vacuum drying of Pereskia aculeata Miller leaves: Powder production and characterization. Journal of Food Process Engineering, 44(2): 1–12. https://doi.org/10.1111/jfpe.13612.
  46. Moses, J. A., Norton, T., Alagusundaram, K., and Tiwari, B. K. 2014. Novel Drying Techniques for the Food Industry. Food Engineering Reviews, 6(3): 43-55. https://doi.org/10.1007/s12393-014-9078-7.
  47. Musielak, G. and Kieca, A. 2014. Influence of Varying Microwave Power during Microwave–Vacuum Drying on the Drying Time and Quality of Beetroot and Carrot Slices. Drying Technology: An International Journal, 32:11, 1326-1333, DOI: 10.1080/07373937.2014.924135.
  48. ‏Nanvakenari, S., Movagharnejad, K., Latifi, A. 2022. Modelling and experimental analysis of rice drying in new fluidized bed assisted hybrid infrared-microwave dryer. Food Research International, 159, 111617. https://doi.org/10.1016/j.foodres.2022.111617.
  49. Parniakov, O., Mikhrovska, M., Wiktor, A., Alles, M., Ristic, D., Bogusz, R., Nowacka, M., Devahastin, S., Mujumdar, A., Heinz, V, and Smeta, S. 2021. Insect processing for food and feed: A review of drying methods. Drying Technology, 40(8): 1500-1513. https://doi.org/10.1080/07373937.2021.1962905.
  50. Pei, Y. P., Sun, B-H., Vidyarthi, S. K., Zhu, Z-Q., Yan, S-K., Zhang. Y., Wang, J., and Wei Xiao, H. 2023. Pulsed pressure enhances osmotic dehydration and subsequent hot air-drying kinetics and quality attributes of red beetroot. Drying Technology, 41(2): 262-276. https://doi.org/10.1080/07373937.2022.2031209.
  51. Pu, Y.Y., and Sun, D.W. 2017. Combined hot-air and microwave-vacuum drying for improving drying uniformity of mango slices based on hyperspectral imaging visualisation of moisture content distribution. Biosystems Engineering, 156: 108–119. https://doi.org/10.1016/j.biosystemseng.2017.01.006.
  52. Rashidi, M., Amiri Chayjan R., and Ghasemi A. 2020. Optimization of tomato compressed tablet production based on physical, mechanical and thermal properties in a hot air condition with microwave pretreatment. Iranian Food Science and Technology. 16(1): 29-42. DOI: 10.22067/ifstrj. v16i2.78894.
  53. Rashidi, M., Amiri Chayjan, R., Ghasemi, A., and Ershadi, A. 2021. Tomato tablet drying enhancement by intervention of infrared - A response surface strategy for experimental design and optimization. Biosystems Engineering, 208: 199-212. DOI:1016/j.biosystemseng.2021.06.003.
  54. Santos, K.C., Guedes, J.S., Rojas, M.L., Carvalho, G.R., and Augusto, P.E.D. 2021. Enhancing carrot convective drying by combining ethanol and ultrasound as pre-treatments: Effect on product structure, quality, energy consumption, drying and rehydration kinetics. Ultrasonics Sonochemistry. (under press). doi: https:// doi.org/10.1016/j.ultsonch.2020.105304.
  55. Sedani, S. R., Pardeshi, I. L., and Dorkar, A. R. 2021. Study on the effect of stepwise decreasing microwave power drying (SDMPD) of moth bean sprouts on its quality. Legume Science, 3(4), e84. https://doi.org/10.1002/leg3.84.
  56. Singh, P., and Gaur, M.K. 2020. Review on development, recent advancement and applications of various types of solar dryers. Energy Sources, Part A: Recovery, Utilization and Environmental Effects, 46(1):1-21. DOI:1080/15567036.2020.1806951.
  57. Sossa, JWZ., Orozco, GL., Murillo, LMG., Osorio MP., Suarez NS. 2021. Infrared drying trends applied to fruit. Front Sustainable Food System., https://doi.org/10.3389/fsufs.2021.650690.
  58. Suhanya, P., Juzaili, B., Azizi, R., Ismail, S., Sasidharan, S., and Mahsufi, M. 2009. Evaluation of antioxidant and antibacterial activities of aqueous, methanolic and alkaloid extracts from Mitragyna speciosa (Rubiaceae family) leaves. Molecules, 14: 3964-3974. doi:10.3390/molecules14103964.
  59. Sujindaa, N., Saengsuwanb, T., and Chaichana, N. 2024. Study on drying characteristics, color, and vitamin c preservation of green banana slices using a vacuum heat pump system. Agricultural Engineering. 28(1): 167-184. DOI: 10.2478/agriceng-2024-0011.
  60. Székely, D., Vidák, K., Furulyás, D., Ribárszki, Á., and Stéger-Máté, M. 2019. Effect of drying methods on physicochemical parameters of different red beetroots (Beta vulgaris L.) species. Periodica Polytechnica Chemical Engineering, 63(3): 485–490. https://doi.org/10.3311/PPch.13104.
  61. Tan, S., Wang, Z., Xiang, Y., Deng, T., Zhao, X., Shi, S., Zheng, Q., Gao, X., and Li, W. 2020. The effects of drying methods on chemical profiles and antioxidant activities of two cultivars of Psidium guajava fruits. LWT - Food Science and Technology, 118, Article 108723. (In press). doi: https://doi.org/10.1016/ j.lwt.2019.108723.
  62. Vallespir, F., Rodríguez, O., Eim, V. S., Rosselló, C., and Simal, S. 2019. Effects of freezing treatments before convective drying on quality parameters: Vegetables with different microstructures. Journal of Food Engineering, 249: 15–24. https://doi.org/10.1016/j.jfoodeng.2019.01.006.
  63. Yilmaz, P., Demirhan, E., and Özbek, B. 2021. Microwave drying effect on drying characteristic and energy consumption of Ficus carica Linn Journal of Food Process Engineering, 44(10): 1–21. Doi: 10.1111/jfpe.13831.
  64. Zhang, F. J., Wang, X., Xin, L. D., Li, L. X., Dai, J. W. and Zhou, J. 2023. Moisture diffusion modelling and effect of microwave vacuum drying on drying kinetics and quality of yam. International Food Research Journal, 30(3): 626 – 639. DOI https://doi.org/10.47836/ifrj.30.3.07.
  65. Zhang, W., Chen, C., Pan, Z., and Zheng, Z. 2021. Vacuum and infraredassisted hot air impingement drying for improving the processing performance and quality of Poria cocos (Schw.) Wolf Cubes. Foods 10(5) :345. https:// doi. org/ 10. 3390/ foods 10050 992.
  66. Zhang, Z., Chen, Y., Peng, J., Huang, S., and Wu, H. 2024. Study on drying characteristics of combined microwave-hot air drying of paddy. Case Studies in Thermal Engineering, 64. 105539. https://doi.org/10.1016/j.csite.2024.105539.