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Thermodynamics modeling of heat and mass transfer dynamics in drying of prekese pod: quality retention

  • James C. Ehiem EMAIL logo , Promise C. Chijoke , Nneoma E. Obasi and Ndubisi A. Aviara
Published/Copyright: August 1, 2025
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Abstract

This study aims to evaluate the drying kinetics, model the heat and mass transfer processes, and optimize drying conditions for prekese pods to preserve their nutritional and phytochemical qualities. Laboratory experiments conducted at 45 °C, 60 °C, and 70 °C revealed that the drying behavior closely follows the Pages and Midilli-Kucuk models, with R2 values exceeding 0.99. Effective diffusivity (Deff) ranged from 5.00 to 6.25 × 10−8 m2/s, and activation energy (Ea) was calculated at 0.95 kJ/mol. Energy consumption varied across temperatures, recorded as 227,328.6 J at 45 °C, 272,413.2 J at 60 °C, and 260,307.1 J at 70 °C, with corresponding specific energy consumption (QSEC) values of 9,605.3 J/kg, 11,510.26 J/kg, and 10,998.74 J/kg. Thermodynamic analysis based on Gibbs free energy indicates that optimal drying conditions can enhance product quality while minimizing energy use. The findings provide a foundation for designing efficient drying protocols that maintain the nutritional and phytochemical integrity of prekese pods.


Corresponding author: James C. Ehiem, Department of Agricultural and Bio-Resources Engineering, Michael Okpara University of Agriculture, Umudike, P.M.B. 7267, Umuahia, Abia State, Nigeria, E-mail:

  1. Research ethics: Not applicable.

  2. Informed consent: Not applicable.

  3. Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  4. Use of Large Language Models, AI and Machine Learning Tools: Not applicable.

  5. Conflict of interest: The authors state no conflict of interest.

  6. Research funding: None declared.

  7. Data availability: Not applicable.

References

1. Ogbunugafor, HA, Ugochukwu, CG, Kyrian-Ogbonna, AE The role of spices in nutrition and health: a review of three popular spices used southern Nigeria. Food Qual Saf 2017;1:171–85. https://doi.org/10.1093/fqsafe/fyx020.Search in Google Scholar

2. Rahman, S, Iqbal, M, Husen, A. Medicinal plants and Abiotic stress: an overview. Med Plants: Response Abiotic Stress 2023;1–34. https://doi.org/10.1007/978-981-19-5611-9_1.Search in Google Scholar

3. Uyoh, EA, Ita, EE, Nwofia, GE. Evaluation of chemical composition of tetrapluera tetraptera (schum and thonn.) taub accessions from cross river state, Nigeria. Int J Med Aromatic Plants 2013;3:386–94.Search in Google Scholar

4. Shahane, K, Kshirsagar, M, Tambe, S, Jain, D, Rout, S, Ferreira, MKM, et al.. An updated review on the multifaceted therapeutic potential of Calendula officinalis L. Pharmaceuticals 2023;16:611. https://doi.org/10.3390/ph16040611.Search in Google Scholar PubMed PubMed Central

5. Kaveh, M, Zomorodi, S, Mariusz, S, Dziwulska-Hunek, A. Determination of drying characteristics and of mint (Mentha spicata L.) leaves dried in refractance window. Foods 2024;13:2867. https://doi.org/10.3390/foods13182867.Search in Google Scholar PubMed PubMed Central

6. Tripathy, S, Srivastav, PP. Encapsulation of Centella asiatica leaf extract in liposome: study on structural stability, degradation kinetics and fate of bioactive compounds during storage. Food Chem Advances 2023;2. Article 100202. https://doi.org/10.1016/j.focha.2023.100202.Search in Google Scholar

7. Sabo, E, Dia, YZ. Awareness and effectiveness of vegetable technology information packages by vegetable farmers in Adamawa state, Nigeria. Afr J Agric Res 2009;4:065–70.Search in Google Scholar

8. Darkwa, S. Spices and condiments in Ghana; their utilization in comminuted meat products. Asian J Agric Rural Dev 2013;3:899–908.Search in Google Scholar

9. Chen, K, Yuan, Y, Zhao, B, Kaveh, M, Beigi, M, Zheng, Y, et al.. Optimum drying conditions for ginger (Zingiber officinale roscoe) based on time, energy consumption and physicochemical quality. Food Chem X. 2023;20. Article 100987. https://doi.org/10.1016/j.fochx.2023.100987. Search in Google Scholar PubMed PubMed Central

10. Kocyigit, E, Kocaadam-Bozkurt, B, Bozkurt, O, A ˘gagündüz, D, Capasso, R. Plant toxic proteins: their biological activities, mechanism of action and removal strategies. Toxins 2023;15:356. https://doi.org/10.3390/toxins15060356.Search in Google Scholar PubMed PubMed Central

11. Jadhav, K, Kole, E, Singh, R, Rout, SK, Verma, RK, Chatterjee, A, et al.. A critical review on developments in drying technologies for enhanced stability and bioavailability of pharmaceuticals. Dry Technol 2024:1–27. https://doi.org/10.1080/07373937.2024.2357181.Search in Google Scholar

12. Bhattacharjee, S, Mohanty, P, Sahu, JK, Sahu, JN. A critical review on drying of food materials: recent progress and key challenges. Int Commun Heat Mass Tran 2024;158. 107863. Article: 107863. https://doi.org/10.1016/j.icheatmasstransfer.2024.107863.Search in Google Scholar

13. Zang, Z, Huang, X, He, C, Zhang, Q, Jiang, C, Wan, F. Improving drying characteristics and physicochemical quality of Angelica sinensis by novel tray rotation microwave vacuum drying. Foods 2023;12:1202. https://doi.org/10.3390/foods12061202.Search in Google Scholar PubMed PubMed Central

14. Alp, D, Bulantekin, Ö. The microbiological quality of various foods dried by applying different drying methods: a review. Eur Food Res Tech 2021;247:1333–43. https://doi.org/10.1007/s00217-021-03731-z.Search in Google Scholar PubMed PubMed Central

15. Akter, F, Muhury, R, Sultana, A, Deb, UK. A comprehensive review of mathematical modeling for drying processes of fruits and vegetables. Int J Food Sci 2022:6195257. https://doi.org/10.1155/2022/6195257.Search in Google Scholar PubMed PubMed Central

16. Khan, MIH; Batuwatta-Gamage, CP; Karim, MA; Gu, Y. Fundamental understanding of heat and mass transfer processes for physics-informed machine learning-based drying modelling. Energies, 15, 9347. doi.org: https://doi.org/10.3390/en15249347.Search in Google Scholar

17. Solomon, AB, Fanta, SW, Delele, MA, Vanierschot, M. Modeling and simulation of heat and mass transfer in an Ethiopian fresh injera drying process. Heliyon 2021;7:e06201. https://doi.org/10.1016/j.heliyon.2021.e06201.Search in Google Scholar PubMed PubMed Central

18. Korang, J, Owusu-Asante, JO, Ibrahim, S, Ofori, E, Owusu, J. Phytochemicals and biological activities of Tetrapleura tetraptera seed extracts. Ghana J Sci 2023;64:34–40.https://doi.org/10.4314/gjs.v64i1.4Search in Google Scholar

19. Asogwa, IS, Ibrahim, AN, Eze1, JC. The influence of cooking methods on the antioxidant status of tetrapleura tetrapetra. Afr J Food Agric Nutr Dev 2021;21: 18574–92. https://doi.org/10.18697/ajfand.103.19665.Search in Google Scholar

20. Dzah, CS. Optimized pressurized hot water extraction, HPLC/LC-MS characterization, and bioactivity of Tetrapleura tetraptera L. dry fruit polyphenols. J Food Sci 2022;88:175–92. https://doi.org/10.1111/1750-3841.16422.Search in Google Scholar PubMed

21. Kabir, J, Oluwatosin, B, Oyefunke, AA, Abdulkabir, OA, Sherifdeen, A, Bolatito, AO, et al.. In vitro gas fermentation kinetics of compounded diets containing varying levels of Tetrapleura tetraptera fruit meal. Eureka Life Sci 2024;1:32–43. https://doi.org/10.21303/2504-5695.2024.003361.Search in Google Scholar

22. Okechukwu, QN, Ugwuona, FU, Ofoedu, CE, Juchniewicz, S, Okpala, COR. Chemical composition, antibacterial efficacy, and antioxidant capacity of essential oil and oleoresin from monodora myristica and Tetrapleura tetraptera in Southeast Nigeria. Sci Rep 2022;12:19861. https://doi.org/10.1038/s41598-022-23161-5.Search in Google Scholar PubMed PubMed Central

23. Hussain, A, Kausar, T, Rehman, A, Batool, A, Saleem, M, Musharraf, TM, et al.. Evaluation of the phytochemical and medicinal value of lemongrass (cymbopogon citratus), by conversion into powders and extracts to develop a nutritional bakery product. Futur. Integr. Méd Sur 2023;2:129–40.Search in Google Scholar

24. de Alcântara, CM, Moreira, IDS, Cavalcanti, MT, Lima, RP, Moura, HV, da Silva Neves, R, et al.. Mathematical modeling of drying kinetics and technological and chemical properties of pereskia sp. leaf powders. Processes 2024;12:2077. https://doi.org/10.3390/pr12102077.Search in Google Scholar

25. Wanderley, Rd. OS, de Figueirêdo, RMF, Queiroz, AJd. M, dos Santos, FS, Paiva, YF, Ferreira, JPd. L, et al.. The temperature influence on drying kinetics and physico-chemical properties of pomegranate peels and seeds. Foods 2023;12:286. https://doi.org/10.3390/foods12020286.Search in Google Scholar PubMed PubMed Central

26. Mabasso, AG, Cabral, JCO, Barbosa, KF, Resende, O, de Oliveira, DEC, deAlmeida, AB. Drying kinetics, thermodynamic properties and physicochemical characteristics of rue leaves. Sci Rep 2024;14:14526. https://doi.org/10.1038/s41598-024-64418-5.Search in Google Scholar PubMed PubMed Central

27. Geng, Z, Wang, H, Torki, M, Beigi, M, Zhu, L, Huang, X, et al.. Thermodynamically analysis and optimization of potato drying in a combined infrared/convective dryer. Case Stud Therm Eng 2023;42:102671. Article: 100987. https://doi.org/10.1016/j.csite.2022.102671.Search in Google Scholar

28. Chen, Q, Bi, J, Wu, X, Yi, J, Zhou, L, Zhou, Y. Drying kinetics and quality attributes of jujube (Zizyphus jujuba miller) slices dried by hot-air and short and medium-wave infrared radiation. LWT--Food Sci Technol 2015;64:759–66. https://doi.org/10.1016/j.lwt.2015.06.071.Search in Google Scholar

29. Watharkar, RB, Chakraborty, S, Hazarika, MK, Srivastava, B. Mathematical modeling of drying kinetics of bhimkol (Musa balbisiana) pulp using MATLAB. Agric Eng Int CIGR J 2018;20:183–9.Search in Google Scholar

30. Solomon, AB, Fanta, SW, Delele, MA, Vanierschot, M. Modeling and simulation of heat and mass transfer in an Ethiopian fresh injera drying process. Heliyon 2021;7:e06201. https://doi.org/10.1016/j.heliyon.2021.e06201.Search in Google Scholar PubMed PubMed Central

31. Amer, BMA, Azam, MM, Saad, A. Monitoring temperature profile and drying kinetics of thin-layer banana slices under controlled forced convection conditions. Processes 2023;11:1771. https://doi.org/10.3390/pr11061771.Search in Google Scholar

32. Alibas, I, Yilmaz, A. Microwave and convective drying kinetics and thermal properties of Orange slices and effect of drying on some phytochemical parameters. J Therm Anal Calorim 2022;147:8301–21. https://doi.org/10.1007/s10973-021-11108-3.Search in Google Scholar PubMed PubMed Central

33. Moura, RL, Figueirêdo, RMFd., Queiroz, AJd. M, Santos, FSd., Lima, AGBd., Rego Junior, PFd., et al.. Smelling peppers and pout submitted to convective drying: mathematical modeling, thermodynamic properties and proximal composition. Foods 2023;12:2106. https://doi.org/10.3390/foods12112106.Search in Google Scholar PubMed PubMed Central

34. Aviara, NA, Igbeka, JC. Modeling for drying of thin layer of native cassava starch in tray dryer. J Biosystems Eng 2016;41:342–56. https://doi.org/10.5307/JBE.2016.41.4.342.Search in Google Scholar

35. Nguyen, TTD, Nguyen, VT. Influence of drying temperature on drying kinetics and appearance of avocado slices in heat pump drying process. Int J Eng Technol 2023;15:89–93. https://doi.org/10.7763/IJET.2023.V15.1226.Search in Google Scholar

36. Şeremet, L, Botez, E, Nistor, OV, Gogus, F, Andronoiu, DG, Mocanu, GD. Influence of drying conditions on the effective diffusivity and activation energy during convective air and vacuum drying of pumpkin. Ann Univ Dunarea de Jos Galati Fascicle VI Food Technol 2015;39:20–9.Search in Google Scholar

37. Komolafe, CA, Oluwaleye, IO, Adejumo, AOD, Waheed, MA, Kuye, SI. Determination of moisture diffusivity and activation energy in the convective drying of fish. Int J Heat Technol 2018;36:1262–7. https://doi.org/10.18280/ijht.360414.Search in Google Scholar

38. Ehiem, JC, Oduma, O, Igbozulike, AO, Raghavan, VGS and Aviara, NA. “Modeling the kinetics, energy consumption and shrinkage of avocado pear pulp during drying in a microwave assisted dryer” Chem Prod Process Model, 19: 2024, 879–99. https://doi.org/10.1515/cppm-2024-0062Search in Google Scholar

39. Akgün, M, Konta¸S, E. The effect of the periodic drying method on the drying time of hazelnuts and energy utilization. Foods 2014;13:901. https://doi.org/10.3390/foods13060901.Search in Google Scholar PubMed PubMed Central

40. Demirpolat, AB. Investigation of mass transfer with different models in a solar energy food-drying system. Energies 2019;12:3447. https://doi.org/10.3390/en12183447.Search in Google Scholar

41. Kutateladze, SS, Borishanskii, VM. A concise encyclopedia of heat transfer. New York: Plenium Press; 1966.Search in Google Scholar

42. Winterton, RHS. TECHNICAL NOTES (where did the dittus and boelter equation come from?). Int J Heat Mass Tran 1998;41:809–10. https://doi.org/10.1016/s0017-9310-97-00177-4.Search in Google Scholar

43. Sánchez-Escalona, AA, Medina, YC, Retirado-Mediaceja, Y, Góngora-Leyva, E. Application of the ‘Nusselt-Equation Simulated Evolution Method’ in forced convective heat transfer modeling. Int J Des Nat Ecodyn 2021;16:21–32. https://doi.org/10.18280/ijdne.160104.Search in Google Scholar

44. AOAC. International official methods of analysis of the AOAC (W. Horwitiz edition, 18th ed. Washington D. C., U. S. A. AOAC International; 2006.Search in Google Scholar

45. Harborne, JB. Phytochemical methods: a guide to modern techniques of plant analysis. London, UK: Chapman & Hall; 1973.10.1007/978-94-009-5921-7_1Search in Google Scholar

46. Ejikeme, CM, Ezeonu, CS, Eboatu, AN. Determination of physical and phytochemical constituents of some tropical timbers indigenous to Niger Delta area of Nigeria. Eur Sci J 2014;10:247–70.Search in Google Scholar

47. Lau, OW, Luk, SF, Huang, HL. Spectrophotometric determination of tannins in tea and beer samples with iron(III) and 1,10-phenanthroline as reagents. Analyst 1989;114:631–3. https://doi.org/10.1039/an9891400631,Search in Google Scholar PubMed

48. Basher, ZA, Ahmida, ZE, Munayr, MS, Mahraz, SM. Uv-specteophotometry to determine the content of tanning substance in extract of Acacia nilotica seeds. J Chem Chem Sci 2020;10:319–22.Search in Google Scholar

49. Munro, A, Bassir, O. Oxalate in Nigerian vegetables. West Afr J Biol Appl Chem 1969;12:14–18.Search in Google Scholar

50. AOAC. Official methods of analysis of international, 19th ed. Gaithersburg, MD, USA: Association of Official Analytical Chemists; 2012. Method 996.06.Search in Google Scholar

51. Kaveh, M, Zomorodi, S, Ghaysari, B, El-Mesery, HS, Sharifian, F, ElMesiry, AH, et al.. Impact of various drying technologies for evaluation of drying kinetics, energy consumption, physical and bioactive properties of rose flower. Sci Rep 2025;15:9245. https://doi.org/10.1038/s41598-025-94300-x.Search in Google Scholar PubMed PubMed Central

52. Dhara, J, Saha, SK, Saha, M, Chakraborty, R. Study on drying kinetics, antioxidant activity, total bioactive compounds, physicochemical properties and microstructural characteristics of dehydrated star fruits (Averrhoa carambola) by different drying methods. Sustainable Food Technol 2023;1:590–602. https://doi.org/10.1039/d3fb00024a.Search in Google Scholar

53. Shaukat, MN, Fallico, B, Nazir, A. Impact of air-drying temperatures on drying kinetics, physicochemical properties, and bioactive profile of ginger. Foods 2024;13:1096. https://doi.org/10.3390/foods13071096.Search in Google Scholar PubMed PubMed Central

54. Riveros-Gomez, M, Baldán, Y, Román, C, Fabani, P, Mazza, G, Ana, RR. Drying and rehydration kinetics of peeled and unpeeled green apple slices (granny smith CV). Research Square 2022:1–24. https://doi.org/10.21203/rs.3.rs-1303180/v1.Search in Google Scholar

55. Pinheiro, MNC, Madaleno, RO, Castro, LMMN. Drying kinetics of two fruits Portuguese cultivars (Bravo de Esmolfe apple and Madeira banana): an experimental study. Heliyon 2022;8:e09341. https://doi.org/10.1016/j.heliyon.2022.e09341.Search in Google Scholar PubMed PubMed Central

56. Sun, T, Wang, N, Wang, C, Ren, J. Effect of hot air temperature and slice thickness on the drying kinetics and quality of hami melon (cantaloupe) slices. Natureportfolio 2024;14:29855. https://doi.org/10.1038/s41598-024-81053-2.Search in Google Scholar PubMed PubMed Central

57. Pei, Y, Li, Z, Song, C, Li, J, Xu, W, Zhu, G. Analysis and modelling of temperature and moisture gradient for ginger slices in hot air drying. J Food Eng 2022;323:111009. https://doi.org/10.1016/j.jfoodeng.2022.111009.Search in Google Scholar

58. Mirzaee, E, Rafiee, S, Keyhani, A, Emam-Djomeh, Z. Determining of moisture diffusivity and activation energy in drying of apricots. Res Agr Eng 2009;55:114–20. https://doi.org/10.17221/8/2009-rae.Search in Google Scholar

59. Agusta, W, Maisaroh, Hermansyah, HD, Anggraeni, D, Astuti, H, Purwanto, W, et al.. Drying kinetics, modelling and total flavonoid content of Phyllanthus niruri L. under different drying temperature. IOP Conf Ser Earth Environ Sci 2022;1116:012033. https://doi.org/10.1088/1755-1315/1116/1/012033Search in Google Scholar

60. Alara, OR, Abdurahman, NH, Mudalip, SKA, Olalere, OA. Mathematical modeling of thin layer drying using open sun and shade of Vernonia amygdalina leaves. Agric Nat Resour 2018;52:53e58. https://doi.org/10.1016/j.anres.2018.05.013.Search in Google Scholar

61. Ambawat, S, Sharma, A, Saini, RK. Mathematical modeling of thin layer drying kinetics and moisture diffusivity study of pretreated Moringa oleifera leaves using fluidized bed dryer. Processes 2022;10:2464. https://doi.org/10.3390/pr10112464.Search in Google Scholar

62. Jegede, AO, Isa, J. Mathematical modelling of the drying characteristics of Indian spinach using machine learning approach. Food Sci Nutri Tech 2023;8:1–12. https://doi.org/10.23880/fsnt-16000308.Search in Google Scholar

63. Stephenus, FN, Benjamin, MAZ, Anuar, A, Awang, MA. Effect of temperatures on drying kinetics, extraction yield, phenolics, flavonoids, and antioxidant activity of Phaleria macrocarpa (scheff.) boerl. (mahkota dewa) fruits. Foods 2023;12:2859. https://doi.org/10.3390/foods12152859.Search in Google Scholar PubMed PubMed Central

64. Raaf, A, Putra, TW, Mulana, F, Syamsuddin, Y, Supardan, MD. Investigation of kinetics of amla (emblica officinalis) fruit drying process. S Afr J Chem Eng 2022;10–16:41. https://doi.org/10.1016/j.sajce.2022.03.01.Search in Google Scholar

65. Chayjan, RA, Salari, K, Abedi, Q, Sabziparvar, AA. Modeling moisture diffusivity, activation energy and specific energy consumption of squash seeds in a semi fluidized and fluidized bed drying. J Food Sci Technol 2023;50:667–77. https://doi.org/10.1007/s13197-011-0399-8.Search in Google Scholar PubMed PubMed Central

66. Seyed, HS, Issa, L. Evaluation of energy aspects of apple drying in the hot-air and infrared dryers. Energy Res J 2013;4:30–8. https://doi.org/10.3844/erjsp.2013.30.38.Search in Google Scholar

67. Yamchi, AA, Fanaei, AR. Drying kinetics and thermodynamic properties of ultrasound pretreatment bitter melon dried by infrared. J Food Process Preserv 2024:17. https://doi.org/10.1155/2024/1987547.Search in Google Scholar

68. Liman, MG, Abdullahi, AS, Maigoro, AL, Umar, KJ. Effects of three drying techniques on mineral composition ofSome leafy garden vegetables. IOSR J Appl Chem (IOSR-JAC) 2014;7:38–42. Article ID 1987547.10.9790/5736-07123842Search in Google Scholar

69. Kazosi, ME, Martin, H, Athanasia, M. Effect of drying methods on the nutritional and anti-nutritional quality of African nightshade (solanum sp.). Int J Biosci 2022;21:223–34.Search in Google Scholar

70. Natumanya, P, Twinomuhwezi, H, Igwe, VS, Maryam, S, Awuchi, CG. Effects of drying techniques on nutrient retention and phytochemicals in selected vegetables. Eur J Agric Educ Food Sci 2021;3:5–14. https://doi.org/10.24018/ejfood.2021.3.2.247.Search in Google Scholar

71. Mahmoud, MH, Abou-Arab, AA, Abu-Salem, FM. Effect of some different drying methods on the chemical analysis of citrus By-Products. Res J Pharmaceut Biol Chem Sci 2022;6:105–16.Search in Google Scholar

72. Isam, AMA, Fahad, A, Emad, K, Nurhan, U, Mehmet, MÖ. The effect of roasting on bioactive properties, phenolic compounds and fatty acid profiles of pumpkin (cucurbita spp.) seeds. J Oleo Sci 2024;73:1457–65. https://doi.org/10.5650/jos.ess24153.Search in Google Scholar PubMed

73. Shima, BR, Hasan, M, Saeed, M, Ali, K. Effect of drying methods on phenolic compounds and antioxidant activity of Capparis spinosa L. fruits. BMC Plant Biol 2025;25:133. https://doi.org/10.1186/s12870-025-06110-y.Search in Google Scholar PubMed PubMed Central

74. Garcìa, LM, Ceccanti, C, Negro, C, De Bellis, L, Incrocci, L, Pardossi, A, et al.. Effect of drying methods on phenolic compounds and antioxidant activity of Urtica dioica L. leaves. Horticulturae 2021;7:10. https://doi.org/10.3390/horticulturae7010010.Search in Google Scholar

75. Ahmed, MQ, In, ZL, Iu, YS, Ikandar, AI, Iqbal, MF Javeed, A. Phytochemical screening, total phenolic and flavonoids contents and antioxidant activities of Citrullus colocynthis L. and Cannabis sativa L. Appl Ecol Environ Res 2019;17:6961–79. https://doi.org/10.15666/aeer/1703-69616979.Search in Google Scholar

Received: 2025-04-20
Accepted: 2025-07-20
Published Online: 2025-08-01

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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