A Review on the Mathematical Modelling of the Grain Storage Ecosystemin Storage Structures and Bags

Authors

  • Akhere Olenloa Purdue University Author
  • Professor Klein Ileleji Purdue University Author

DOI:

https://doi.org/10.52151/jae2024615.1873

Keywords:

CFD, FDM, FEM, FVM, equilibrium moisture content, thermal diffusivity

Abstract

The grain storage ecosystem comprises of biotic and abiotic factors that interact during grain storage, and their interaction affects the quality of the stored grains over time. The understanding and management of the complex interaction of the biotic and abiotic factors in the stored grain ecosystem is crucial to decision-making and in the development of management strategies for grain farmers and elevators. Mathematical modelling has emerged as an essential approach in tackling complex systems such as the stored grain ecosystem. This review explores the application of mathematical modelling in the grain storage ecosystem and synthesizes the existing literature, highlighting the various mathematical models and approaches to solving issues relating to the grain storage ecosystem. The review will be helpful to researchers and stored grain experts in the grain industry on the various mathematical modelling approaches and equations that can be employed to solve problems associated with grain storage in order to better manage the quality of stored grain.

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Author Biography

  • Professor Klein Ileleji, Purdue University

    Professor & Extension Engineer in the Department of Agricultural and Biological Engineering at Purdue University, West Lafayette, Indiana, USA

References

Abe, T., & Basunia, M. A. (1996). Simulation of temperature and moisture changes during storage of rough rice in cylindrical bins owing to weather variability. *Journal of Agricultural Engineering Research, 65*(3), 223-233. https://doi.org/10.1006/jaer.1996.0095

Alagusundaram, K., Jayas, D. S., White, N. D. G., & Muir, W. E. (1990a). Finite difference model of three-dimensional heat transfer in grain bins. *Canadian Agricultural Engineering, 32*, 315-321.

Alagusundaram, K., Jayas, D. S., White, N. D. G., & Muir, W. E. (1990b). Three-Dimensional, finite element, heat transfer model of temperature distribution in grain storage bins. *Transactions of the ASAE, 33*, 577-584. https://doi.org/10.13031/2013.31369

Arseven, A. (2015). Mathematical modelling approach in mathematics education. *Universal Journal of Educational Research, 3*(12), 973-980. https://doi.org/10.13189/ujer.2015.031204

Barreto, A. A., Abalone, R., & Gastón, A. (2013). Mathematical modelling of momentum, heat and mass transfer in grains stored in silos. Part II: Model application. *Latin American Applied Research, 43*(4), 385-391.

Bharathi, V. S. K., Jian, F., & Jayas, D. S. (2022). Effects of weather on temperatures of the grain bin components and headspace of a 10-m diameter corrugated steel bin. *Canadian Biosystems Engineering, 64*, 3.1-3.11. https://doi.org/10.7451/CBE.2022.64.3.1

Carrera-Rodríguez, M., Martínez-González, G. M., Navarrete-Bolaños, J. L., Botello-Alvarez, J. E., Rico-Martínez, R., & Jiménez-Islas, H. (2011). Transient numerical study of the effect of ambient temperature on 2-D cereal grain storage in cylindrical silos. *Journal of Stored Products Research, 47*, 106-122. https://doi.org/10.1016/j.jspr.2011.01.006

Chang, C. S., Converse, H. H., & Steele, J. L. (1994). Modeling of moisture content of grain during storage with aeration. *Transactions of the ASAE, 37*(6), 1891-1898. https://doi.org/10.13031/2013.28280

Donga, T. K., & Baributsa, D. (2023). Effect of temperature and insect infestation levels on oxygen depletion in hermetic storage. *Insects, 14*(7), 621. https://doi.org/10.3390/insects14070621

Dunkel, F. V. (1988). The relationship of insects to the deterioration of stored grain by fungi. *International Journal of Food Microbiology, 7*(3), 227 - 244. https://doi.org/10.1016/0168-1605(88)90042-6

Faria, I. L. D., Silva, L. C. D., Zeymer, J. S., Araujo, M. E. V. D., & Oliveira, G. H. H. D. (2022). Model applicability to predict growth rate of insects throughout storage of corn grain (Zea mays L.). *Revista Engenharia Na Agricultura - REVENG, 30*, 36-48. https://doi.org/10.13083/reveng.v30i1.12656

Flinn, P. W., Opit, G. P., & Throne, J. E. (2009). Predicting stored grain insect population densities using an electronic probe trap. *Journal of Economic Entomology, 102*(4), 1696-1704. https://doi.org/10.1603/029.102.0438

Fourar-Belaifa, R., Fleurat-Lessard, F., & Bouznad, Z. (2011). A systemic approach to qualitative changes in the stored-wheat ecosystem: Prediction of deterioration risks in unsafe storage conditions in relation to relative humidity level, infestation by *Sitophilus oryzae* (L.), and wheat variety. *Journal of Stored Products Research, 47*(1), 48-61. https://doi.org/10.1016/j.jspr.2010.09.002

Gonzales, H. B., Armstrong, P. R., & Maghirang, R. G. (2009). Simultaneous monitoring of stored grain with relative humidity, temperature, and carbon dioxide sensors. *Applied Engineering in Agriculture, 25*(4), 595-604. https://doi.org/10.13031/2013.27466

Iguaz, A., Arroqui, C., Esnoz, A., & Vírseda, P. (2004a). Modelling and simulation of heat transfer in stored rough rice with aeration. *Biosystems Engineering, 89*(1), 69-77. https://doi.org/10.1016/j.biosystemseng.2004.05.001

Iguaz, A., Arroqui, C., Esnoz, A., & Vírseda, P. (2004b). Modelling and validation of heat transfer in stored rough rice without aeration. *Biosystems Engineering, 88*(4), 429-439. https://doi.org/10.1016/j.biosystemseng.2004.03.013

Jayas, D. S., White, N. D. G., & Muir, W. E. (1995). Stored-grain ecosystems. Marcel Dekker, Inc., New York.pp. 757.

Jia, C., Sun, D., & Cao, C. (2000). Mathematical simulation of temperature fields in a stored grain bin due to internal heat generation. *Journal of Food Engineering, 43*(4), 227-233. https://doi.org/10.1016/S0260-8774(99)00156-9

Jian, F., & Jayas, D. S. (2012). The ecosystem approach to grain storage. *Agricultural Research, 1*(2), 148–156. https://doi.org/10.1007/s40003-012-0017-7

Jian, F., Jayas, D. S., & White, N. D. G. (2004). An ecosystem model to simulate insect distribution in stored grain bins. Paper no. 047025, 2004 ASAE Annual Meeting, St. Joseph, MI. https://doi.org/10.13031/2013.17015

Jian, F., Jayas, D. S., Fields, P. G., & White, N. D. G. (2018). Demography of rusty grain beetle in stored bulk wheat: Part II. Mathematical modelling to characterize and predict population dynamics. *Environmental Entomology, 47*(2), 256-263. https://doi.org/10.1093/ee/nvy002

Jian, F., Jayas, D. S., White, K. A., & Alagusundaram, K. (2005). A three-dimensional, asymmetric, and transient model to predict grain temperatures in grain storage bins. *Transactions of the ASAE, 48*(1), 263-271. https://doi.org/10.13031/2013.17927

Kaliyan, N., Morey, R. V., & Wilcke, W. F. (2005). Mathematical model for simulating headspace and grain temperatures in grain bins. *Transactions of the ASAE, 48*(5), 1851-1863. https://doi.org/10.13031/2013.19983

Khankari, K. K., Patankar, S. V., & Morey, R. V. (1995). A mathematical model for natural convection moisture migration in stored grain. *Transactions of the ASAE, 38*(6), 1777-1787. https://doi.org/10.13031/2013.28005

Lawrence, J., & Maier, D. E. (2011). Development and validation of a model to predict air temperatures and humidities in the headspace of partially filled stored grain silos. *Transactions of the ASABE, 54*(5), 1809-1817. https://doi.org/10.13031/2013.39820

Lawrence, J., Maier, D. E., Hardin, J., & Jones, C. L. (2012). Development and validation of a headspace model for a stored grain silo filled to its eave. *Journal of Stored Products Research, 49*, 176 – 183. https://doi.org/10.1016/j.jspr.2012.02.002

Lawrence, J., Maier, D. E., & Stroshine, R. L. (2013). Three-dimensional transient heat, mass, momentum, and species transfer in the stored grain ecosystem: Part I

. Model development. *Biosystems Engineering, 116*(3), 287-296. https://doi.org/10.1016/j.biosystemseng.2013.08.004

Malla, R., & Singh, R. S. (2004). Numerical modeling of airflow in a cylindrical grain storage bin under natural ventilation. *Biosystems Engineering, 87*(2), 189-197. https://doi.org/10.1016/j.biosystemseng.2003.11.015

Nduwimana, G., & Wang, D. (2020). Modeling temperature distribution in a flat storage bin under natural ventilation using computational fluid dynamics. *Journal of Stored Products Research, 85*, 101543. https://doi.org/10.1016/j.jspr.2020.101543

Reddy, B. S. K., & Morey, R. V. (2007). Simulation of headspace air temperature and humidity in grain storage bins. *Biosystems Engineering, 98*(1), 1-10. https://doi.org/10.1016/j.biosystemseng.2007.04.001

Sanz, C., Martínez-García, M., & Gómez-Guillén, M. (2009). Development of a three-dimensional model for the prediction of grain temperature in a storage silo. *Biosystems Engineering, 104*(2), 235-245. https://doi.org/10.1016/j.biosystemseng.2009.05.010

Sanches, S. S., & Muir, W. E. (1996). Modelling moisture migration in stored grain. *Biosystems Engineering, 45*(3), 157-163. https://doi.org/10.1016/S1537-5110(96)00060-2

Sethi, M., & Opit, G. P. (2022). Monitoring grain storage environment and pest infestation using sensors. *Biosystems Engineering, 218*, 39-49. https://doi.org/10.1016/j.biosystemseng.2022.09.004

Sharma, H., & Singh, R. (2016). Simulating the effect of aeration on the temperature distribution in a grain bin. *Journal of Stored Products Research, 68*, 29-36. https://doi.org/10.1016/j.jspr.2016.03.003

Wang, W., & Morey, R. V. (1993). A model for simulating moisture movement in stored grain. *Transactions of the ASAE, 36*(5), 1393-1399. https://doi.org/10.13031/2013.28793

Yusuf, S. A., & Al-Mashaqbeh, I. A. (2012). Modelling of air distribution in a grain bin. *Biosystems Engineering, 113*(2), 125-136. https://doi.org/10.1016/j.biosystemseng.2012.07.007

Published

2024-11-06

Issue

Section

Special Issue: Advances in Processing of Grain, Food, Feed, and Agricultural Materials

Categories

How to Cite

Olenloa, A., & Ileleji, K. (2024). A Review on the Mathematical Modelling of the Grain Storage Ecosystemin Storage Structures and Bags. Journal of Agricultural Engineering (India), 61(5), 641-655. https://doi.org/10.52151/jae2024615.1873