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Mathematical and Kinetic Modelling for Convective Hot Air Drying of Sweet Potatoes (Ipomoea batatas L)

Received: 22 January 2019    Accepted: 8 March 2019    Published: 1 April 2019
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Abstract

The kinetic modelling of thin layer drying is performed with various agricultural products such as seeds, grains, fruits and some plant species with economic importance. Sweet Potato (Ipomoea batatas L) is a widely consumed, and its industrialization is on the increase. The thin layer drying kinetics of sweet potato were experimentally investigated in a convective hot air dryer. Comparison was made between the experimental and model predicted moisture ratio by nonlinear regression analysis. Furthermore, the effect of drying temperature and slice thickness on the selected model constants was evaluated. From the experimental data obtained, it was observed that moisture ratio of the potato sample was directly proportional to the mass of the sample while the time of drying was inversely proportional and these two parameters (mass and time) were used to develop a mathematical model for the thin layer drying of sweet potatoes using a convective hot air dryer. The mathematical model developed was validated. The experimental data fitted the developed mathematical model and gave the Sum of Squares (SSE) value of 0.0001296 and coefficient of determination (R2) as unity. The parameters obtained from the kinetic modelling of the selected models studied could be used in designing low cost dryers for optimum drying conditions.

Published in American Journal of Chemical Engineering (Volume 7, Issue 1)
DOI 10.11648/j.ajche.20190701.13
Page(s) 22-31
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Sweet Potato, Moisture Ratio, Model Constant, Drying Kinetics, Thin Layer

References
[1] Kabiru, A. A., Joshua, A. A. and Raji, A. O. (2013) Effect of Slice Thickness and Temperature on the Drying Kinetics of Mango (Mangifera Indica), IJRRAS, 15 (1):41 – 50.
[2] Inyang, U. E., Oboh, I. O. and Etuk, B. R. (2018) Kinetic Models for Drying Techniques — Food Materials, Advances in Chemical Engineering and Science, 8(2): 27 – 48.
[3] Zhu, A. and Jiang, F. (2014). Modeling Of Mass Transfer Performance of Hot-Air Drying of Sweet Potato (Ipomoea Batatas L.) Slices, Chemical Industry and Chemical Engineering Quarterly, 20(2):171−181.
[4] Ndukwu M. C. and Nwabuisi, K. (2011) Thin Layer drying kinetics of varieties of cocoyam corm slice with heated air, Proceedings of the 11th International Conference and 32nd Annual General Meeting of the Nigerian Institution of Agricultural Engineers (NIAE Ilorin 2011), October 17 – 20, 2011, Ilorin, Nigeria, Vol. 32: 347 – 353.
[5] Carvalho, W. T., Oliveira, T. F., Silva, F. A., Caliari, M. and Soares jnr, M. S.,(2014) Drying kinetics of potato pulp waste, Food Science and Technology, Campinas, 34(1): 116-122.
[6] Aghbashlo, M. Kianmehr, M. H. and Arabhosseini, A.(2009) Modeling of thin-layer drying of potato slices in length of continuous band dryer, Energy Conversion and Management, 50:1348–1355.
[7] Hossain, M. A. and Bala, B. K. (2007). Drying of hot Chili Using Solar Tunnel Drier, Solar Energy, 18: 85-92.
[8] Fortes, M. and Okos, M. R. (1981). A non-equilibrium thermodynamics approach to transport phenomena in capillary porous media, Trans of ASAE, St Joseph, 24(3):756 -760.
[9] Ayim, I., Amankwah, E. A. and Dzisi, K. A. (2012) Effect of pretreatment and temperature on the air drying of French and False horn plantain slices. Journal of Animal and Plant Sciences, 13(2):1771-1780.
[10] Omolola, A. O., Jideani, A. I. O. and Kapila, P. F. (2015) Drying Kinetics of Banana (Musa Spp.). Interciencia, 40, 374-380.
[11] Sridhar, D. and Madhu, G. M.(2015) Drying kinetics and mathematical modeling of casuarinas Equisetifolia wood chips at various temperatures, Periodica Polytechnica chemical Engineering, 59(4):288 – 295.
[12] Onwude, D. I., Hanshim, N., Janius, R. B., Nawi, N. M. and Abdan, K. (2016) Modeling the Thin Layer Drying of Fruits and Vegetables: A Review. Comprehensive Reviews in Food Science and Food Safety, 15, 299-618.
[13] ASAE (2005), 'Manure Production and Characteristics', ASAE Standard, D384.2, American Society of Agricultural Engineers, St. Joseph, Michigan, USA.
[14] Akpinar, E. K. (2006). Determination of suitable thin layer drying curve model for some vegetables and fruits. Journal of Food Engineering 73: 75–84.
[15] Ronoh, E. K., Kanali, C. L., Mailutha, J. T. and Shitanda, D. 2009. Modeling thin layer drying of amaranth seeds under open sun and natural convection solar tent dryer. Agricultural Engineering International: The CIGR Ejournal XI: Manuscript 1420.
[16] Doymaz,. I. (2004). Convective air drying characteristics of thin layer carrots. Journal of Food Engineering. 61:359–364.
[17] Kingsly, A. R. P. and Singh, D. B. (2007). Drying kinetics of pomegranate arils. Journal of Food Engineering 79: 741- 744.
[18] Saeed, I. E., Sopian, K. and Zainol Abidin, Z. (2006) Drying Kinetics of Roselle (Hibiscus sabdariffa L.): Dried in Constant Temperature and Humidity Chamber. In: Muchtar, Ed., Proceedings of SPS, Permata, Bangi, S. D. E., Malaysia, 143-148.
[19] Amer, B. A., M. A. Morcos, M. A. and Sabbah, M. A. (2003) New Method for the Mathematical Determination of Drying rates of Fig Fruits Depending on Empirical Data under conditions Suiting Solar Drying, conference Deutshcher Tropentag “Technological and institutional innovations for sustainable rural development” at Gottingen Germany, 0ctober 2003, Pp 1-13.
[20] Amer, B. A., M. A. Morcos, M. A. and Sabbah, M. A. (1999) New Method for the Mathematical Determination of Drying rates of Fig Fruits Depending on Empirical Data under conditions Suiting Solar Drying, Pp 1-13 In: Amer, B. M. A. (1999). Determination of Drying Rate of Fruits as a Function of the affecting factors under Conditions Suiting Solar Drying. M. Sc. Thesis, Ag. Eng. Dept., Fac. of Agic., Cairo Univ., Egypt.
[21] Khazaei, J. and Daneshmandi, S. (2007) Modeling of Thin-Layer Drying Kinetics of Sesame Seeds: Mathematical and Neural Networking Modeling. International Agrophysics, 21, 335-348.
[22] Maisnam, D., Rasane, P., Dey, A., kaur, S. and Sarma, C. (2017) Recent Advances in Conventional Drying of Foods. Journal of Food Technology and Preservation, 1:25-34.
[23] Wei, J. (2013). Multivariate Numerical Optimization. Lecture Note. https://studentportalen.uu.se/uusp-filearea-tool. Accessed: 1st June, 2018.
[24] Smyth, G. K. (2015). Optimization and Nonlinear Equations. Wiley StataRef: Statistics Reference Online. pp. 1-9. doi: 10.1002/9781118445112.stat05030.pub2
[25] Pashaie, M., Sadeghi, M. and Jafarian, A. (2016). Artificial Neural Networks with Nelder-Mead Optimization Method for solving Nonlinear Integral Equations. Journal of Computer Science and Application, 8(1): 1-20.
[26] Okon, A. N., Udoh, F. D. and Appah, D. (2015). Empirical Wellhead Pressure - Production Rate Correlations for Niger Delta Oil Wells. Paper presented at the Society of Petroleum Engineers Nigeria Annual International Conference and Exhibition, Lagos, Nigeria, 4-6 August, pp. 1-17.
[27] Westerman, P. W., White, G. M. and Ross, I. J. (1973) Relative Humidity Effect on the High Temperature Drying of Shelled Corn. Transactions of the ASAE, 16, 1136-1139.
[28] Page, G. E. (1949) Factors Influencing the Maximum Rate of Air Drying Shelled Corn in Thin-Layers. M. S. Thesis, Purdue University, West Lafayette.
[29] Yaldiz, O., Ertekin, C. and Uzun, H. B. (2001) Mathematical Modelling of Thin Layer Solar Drying of Sultana Grapes. Energy, 26, 457-465.
[30] Yagcioglu, A., Degirmencioglu, A. and Cagatay, F. (1999) Drying Characteristics of Laurel Leaves under Different Conditions. Proceedings of the 7th International Congress on Agricultural Mechanization and Energy, Adana, 26-27 May 1999, 565-569.
[31] Yaldiz, O. and Ertekin, C. (2001) Thin Layer Solar Drying of Some Vegetables. Drying Technology, 19, 583-597.
[32] Rahman, M. S., Perera, C. and Thebaud, C. (1998) Desorption Isotherm and Heat Pump Drying Kinetics of Peas. Journal of food research International, 30, 485-491.
[33] Singh, F., Katiyar, V. K. and Singh, B. P. (2014) Mathematical Modeling to Study Drying Characteristic of Apple and Potato. International Conference on Chemical, Environment and Biological Sciences, Kuala Lumpur, 17-18 September 2014, 172-175.
[34] Aghabashlo, M., Kianmehr, M. H. and Khani, S. (2008) Mathematical Modeling of Carrot Thin Layer Drying using New Model. Energy Conversion and Management, 49, 201-212.
[35] Midilli, A., Kucuk, H. and Yapar, Z. A. (2002) New Model for Single Layer Drying. Drying Technology, 20, 1503-1513.
[36] Kumar, N., Sarkar, B. C. and Sharma, H. K. (2012) Mathematical Modeling of the Thin Layer of Hot Air Drying Carrot Pomace. Journal of Food Science and Technology, 49, 33-41.
[37] Demir, V., Gunhan, T. and Yagcioglu, A. K. (2007) Mathematical Modeling of Convection Drying of Green Table Olives. Biosystems Engineering, 98, 47-53.
[38] Gan, P. L. and Poh, P. E. (2014). Investigation on the effect of shapes on the drying kinetics and sensory evaluation study of dried Jackfruit. International Journal of Science and Engineering 7: 193–198.
[39] Afolabi, T. J., Tunde-Akintunde, T. Y. and Adeyanju, J. A. (2015) Mathematical Modelling of Kinetics of Untreated and Pre-Treated Cocoyam Slices. Journal of food sciences Technology, 52, 2731-2740.
[40] Ertekin, C. and Firat, M. Z. (2015). A Comprehensive Review of Thin Layer Drying Models Used in Agricultural Products, Critical Reviews in Food Science and Nutrition, Pg 1 – 73.
[41] Haghi, A. K. (2001) A Mathematical Model of the Drying Process, Acta Polytechnica, 41(3):20 – 23.
[42] Scheffler, G. and Plagge, R. (2005) Drying behavior of building materials. Proceedings of the 7th symposium on building physics in the Nordic countries, Reykjavik, Iceland, 1:23 -30.
[43] Hii, C. L., Law, C. L. and Cloke, M. (2009). Modeling using a new thin layer drying model and product quality of cocoa. Journal of Food Engineering, 90(2): 191–198.
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  • APA Style

    Inyang Uwem Ekwere, Etuk Benjamin Reuben, Oboh Innocent Oseribho. (2019). Mathematical and Kinetic Modelling for Convective Hot Air Drying of Sweet Potatoes (Ipomoea batatas L). American Journal of Chemical Engineering, 7(1), 22-31. https://doi.org/10.11648/j.ajche.20190701.13

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    ACS Style

    Inyang Uwem Ekwere; Etuk Benjamin Reuben; Oboh Innocent Oseribho. Mathematical and Kinetic Modelling for Convective Hot Air Drying of Sweet Potatoes (Ipomoea batatas L). Am. J. Chem. Eng. 2019, 7(1), 22-31. doi: 10.11648/j.ajche.20190701.13

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    AMA Style

    Inyang Uwem Ekwere, Etuk Benjamin Reuben, Oboh Innocent Oseribho. Mathematical and Kinetic Modelling for Convective Hot Air Drying of Sweet Potatoes (Ipomoea batatas L). Am J Chem Eng. 2019;7(1):22-31. doi: 10.11648/j.ajche.20190701.13

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  • @article{10.11648/j.ajche.20190701.13,
      author = {Inyang Uwem Ekwere and Etuk Benjamin Reuben and Oboh Innocent Oseribho},
      title = {Mathematical and Kinetic Modelling for Convective Hot Air Drying of Sweet Potatoes (Ipomoea batatas L)},
      journal = {American Journal of Chemical Engineering},
      volume = {7},
      number = {1},
      pages = {22-31},
      doi = {10.11648/j.ajche.20190701.13},
      url = {https://doi.org/10.11648/j.ajche.20190701.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajche.20190701.13},
      abstract = {The kinetic modelling of thin layer drying is performed with various agricultural products such as seeds, grains, fruits and some plant species with economic importance. Sweet Potato (Ipomoea batatas L) is a widely consumed, and its industrialization is on the increase. The thin layer drying kinetics of sweet potato were experimentally investigated in a convective hot air dryer. Comparison was made between the experimental and model predicted moisture ratio by nonlinear regression analysis. Furthermore, the effect of drying temperature and slice thickness on the selected model constants was evaluated. From the experimental data obtained, it was observed that moisture ratio of the potato sample was directly proportional to the mass of the sample while the time of drying was inversely proportional and these two parameters (mass and time) were used to develop a mathematical model for the thin layer drying of sweet potatoes using a convective hot air dryer. The mathematical model developed was validated. The experimental data fitted the developed mathematical model and gave the Sum of Squares (SSE) value of 0.0001296 and coefficient of determination (R2) as unity. The parameters obtained from the kinetic modelling of the selected models studied could be used in designing low cost dryers for optimum drying conditions.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - Mathematical and Kinetic Modelling for Convective Hot Air Drying of Sweet Potatoes (Ipomoea batatas L)
    AU  - Inyang Uwem Ekwere
    AU  - Etuk Benjamin Reuben
    AU  - Oboh Innocent Oseribho
    Y1  - 2019/04/01
    PY  - 2019
    N1  - https://doi.org/10.11648/j.ajche.20190701.13
    DO  - 10.11648/j.ajche.20190701.13
    T2  - American Journal of Chemical Engineering
    JF  - American Journal of Chemical Engineering
    JO  - American Journal of Chemical Engineering
    SP  - 22
    EP  - 31
    PB  - Science Publishing Group
    SN  - 2330-8613
    UR  - https://doi.org/10.11648/j.ajche.20190701.13
    AB  - The kinetic modelling of thin layer drying is performed with various agricultural products such as seeds, grains, fruits and some plant species with economic importance. Sweet Potato (Ipomoea batatas L) is a widely consumed, and its industrialization is on the increase. The thin layer drying kinetics of sweet potato were experimentally investigated in a convective hot air dryer. Comparison was made between the experimental and model predicted moisture ratio by nonlinear regression analysis. Furthermore, the effect of drying temperature and slice thickness on the selected model constants was evaluated. From the experimental data obtained, it was observed that moisture ratio of the potato sample was directly proportional to the mass of the sample while the time of drying was inversely proportional and these two parameters (mass and time) were used to develop a mathematical model for the thin layer drying of sweet potatoes using a convective hot air dryer. The mathematical model developed was validated. The experimental data fitted the developed mathematical model and gave the Sum of Squares (SSE) value of 0.0001296 and coefficient of determination (R2) as unity. The parameters obtained from the kinetic modelling of the selected models studied could be used in designing low cost dryers for optimum drying conditions.
    VL  - 7
    IS  - 1
    ER  - 

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Author Information
  • Department of Chemical and Petroleum Engineering, University of Uyo, Uyo, Nigeria

  • Department of Chemical and Petroleum Engineering, University of Uyo, Uyo, Nigeria

  • Department of Chemical and Petroleum Engineering, University of Uyo, Uyo, Nigeria

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