Abstract
The aim of this study is to solve the problem of bulk cargo preparation by bringing its parameters, namely temperature and moisture to safe standard conditions for maritime transport by developing a mathematical model of drying, which will improve drying equipment control methods and optimize drying parameters to ensure energy-saving modes of operation of technological equipment. It is determined that the largest volume of bulk cargo is wheat grain among the bulk cargoes transported by vessel. Safe transportation of grain in bulk mainly depends on the conditional quality of grain at the time of loading on the ship, which is achieved by pre-drying the grain at the port facilities.
In this study, a continuous mathematical model of the grain drying process is obtained, based on heat and mass transfer equations, which makes it possible to predict changes in grain moisture taking into account the influence of thermophysical and thermodynamic properties of grain.
Based on a continuous mathematical model, a discretized mathematical model using the finite difference method and a model of the dynamics of the drying process in the state space using the linearization method by decomposing a nonlinear model into a Taylor series was developed and then was implemented in Mathcad. The experimental study was performed on research equipment, which showed the dependence of temperature and moisture of grain on time during drying. Analysis of the calculated errors of the mathematical model proves its adequacy, which allows its further use to optimize the drying process.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Babichev, S.A., Kornelyuk, A.I., Lytvynenko, V.I., Osypenko, V.V.: Computational analysis of microarray gene expression profiles of lung cancer. Biopolym. Cell 32(1), 70–79 (2016). https://doi.org/10.7124/bc.00090F
Bliault, C., Jonas, M.: Bulk Cargoes: A Guide to Good Practice, p. 349. North of England P &I Club (2019)
Browne, C., Smith, P.L.: Dry Cargo Chartering, p. 320. Institute of Chartered Shipbrokers (2017)
Butkovskiy, A.G., Pustyl’nikov, L.M.: Characteristics of Distributed-Parameter Systems: Handbook of Equations of Mathematical Physics and Distributed-Parameter Systems. MAIA, Springer, Netherlands (2012). books.google.com.ua/books?id=lnX8CAAAQBAJ, https://doi.org/10.1007/978-94-011-2062-3
de C. Lopes, D., Neto, A.J.S., Santiago, J.K.: Comparison of equilibrium and logarithmic models for grain drying. Biosyst. Eng. 118, 105–114 (2014). https://doi.org/10.1016/j.biosystemseng.2013.11.011
Chakraverty, S., Mahato, N., Karunakar, P., Rao, T.D.: Advanced Numerical and Semi-Analytical Methods for Differential Equations. Wiley (2019). books.google.com.ua/books?id=uuiRDwAAQBAJ
Daras, N.J., Rassias, T.M.: Modern Discrete Mathematics and Analysis: With Applications in Cryptography, Information Systems and Modeling, SOIA, p. 521. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-74325-7
Ebrahimifakhar, A., Yuill, D.: Inverse estimation of thermophysical properties and initial moisture content of cereal grains during deep-bed grain drying. Biosyst. Eng. 196, 97–111 (2020). https://doi.org/10.1016/j.biosystemseng.2020.05.021
IMO: The international maritime organization. https://www.imo.org/
IMSBC: Imsbc code. www.imo.org/en/OurWork/Safety/Pages/BulkCarriers.aspx
Kaveh, M., Abbaspour-Gilandeh, Y., Chen, G.: Drying kinetic, quality, energy and exergy performance of hot air-rotary drum drying of green peas using adaptive neuro-fuzzy inference system. Food Bioprod. Process. 124, 168–183 (2020). https://doi.org/10.1016/j.fbp.2020.08.011
Kogut, P.I., Kupenko, O.P.: Approximation Methods in Optimization of Nonlinear Systems. De Gruyter Series in Nonlinear Analysis and Applications, De Gruyter (2019). https://books.google.com.ua/books?id=loVaEAAAQBAJ
Kondratenko, Y.P., Chikrii, A.A., Gubarev, V.F., Kacprzyk, J.: Advanced Control Techniques in Complex Engineering Systems: Theory and Applications: Dedicated to Professor Vsevolod M. Kuntsevich. SSDC, Springer, Cham (2019). books.google.com.ua/books?id=OxaaDwAAQBAJ, DOI: https://doi.org/10.1007/978-3-030-21927-7
Litvinenko, V.I., Burgher, J.A., Vyshemirskij, V.S., Sokolova, N.A.: Application of genetic algorithm for optimization gasoline fractions blending compounding. In: Proceedings - 2002 IEEE International Conference on Artificial Intelligence Systems, ICAIS 2002, pp. 391–394 (2002). https://doi.org/10.1109/ICAIS.2002.1048134
Luikov, A.V.: Analytical Heat Diffusion Theory. Academic Press, New York (1968). https://doi.org/10.1016/B978-0-12-459756-3.X5001-9
Nanvakenari, S., Movagharnejad, K., Latifi, A.: Evaluating the fluidized-bed drying of rice using response surface methodology and artificial neural network. LWT 147, 111589 (2021). https://doi.org/10.1016/j.lwt.2021.111589
Rudakova, G., Polivoda, O.: Methods of the models building of UAV system in state space. In: 2015 IEEE International Conference Actual Problems of Unmanned Aerial Vehicles Developments (APUAVD), pp. 139–144 (2015). https://doi.org/10.1109/APUAVD.2015.7346584
SKULD: Transportation of wheat (2017). https://www.skuld.com/topics/cargo/solid-bulk/agricultural-cargoes/transportation-of-wheat/
Wang, C., Wang, S., Jin, X., Zhang, T., Ma, Z.: Analytical solution for the heat and mass transfer of spherical grains during drying. Biosyst. Eng. 212, 399–412 (2021). https://doi.org/10.1016/j.biosystemseng.2021.11.006
Wrigley, C., Batey, I., Miskelly, D.: Cereal Grains: Assessing and Managing Quality, p. 788. Woodhead Publishing (2017)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Polyvoda, O., Polyvoda, V. (2023). Mathematical Model of Preparing Process of Bulk Cargo for Transportation by Vessel. In: Babichev, S., Lytvynenko, V. (eds) Lecture Notes in Data Engineering, Computational Intelligence, and Decision Making. ISDMCI 2022. Lecture Notes on Data Engineering and Communications Technologies, vol 149. Springer, Cham. https://doi.org/10.1007/978-3-031-16203-9_3
Download citation
DOI: https://doi.org/10.1007/978-3-031-16203-9_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-16202-2
Online ISBN: 978-3-031-16203-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)