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Bulletin of the Kyrgyz National Agrarian University

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Mathematical modelling of moisture and heat transfer processes in soils for crop irrigation optimisation

R Rakhat Sagyndykova A Ainura Dyikanova S Samara Zhusupbekova T Turgunbek Zhumaliev B Baarkul Bekturganova
Received 01.12.2024
Revised 16.02.2025
Published 12.03.2025

Abstract

The relevance of this study is conditioned by the need to develop scientifically sound methods to optimise the processes of moisture and heat transfer in soils, which will increase the efficiency of water resources use and improve crop yields. Under the conditions of global climatic changes and increasing deficit of water resources, effective management of crop irrigation becomes one of the key tasks of agronomy. The purpose of the present study was to create mathematical models describing the processes of moisture and heat transfer in soils to be applied to optimise irrigation regimes. The study highlighted the significance of integrating mathematical modelling into practical activities to achieve sustainable development of the agronomy sector. Convective diffusion processes in soils attract the attention of scientific researchers, as it is associated with the broad penetration of mathematical research methods in various fields of sciences. The great spread of surface irrigation methods necessitates the creation of mathematical models and techniques for their solution, revealing the principal regularities of both filtration and purely hydrodynamic processes. The study presented the key physical and mathematical regularities underlying the processes of moisture transfer and heat transfer in soil, as well as their interaction. The principal result of the study was a plant and its optimal development, which is of final economic interest, and the object of the study was soils, for which mechanical and mathematical models of the joint movement of moisture and heat with their different characteristics were developed. This study investigated the non-stationary convective diffusion equation. Based on the small perturbation method, the considered equation was represented as a linear equation and its solution was found in the automodel form and two classes of solutions were determined. The findings of this study may be useful for agronomists, engineers, and agricultural specialists seeking to implement modern water management technologies and improve the efficiency of agricultural production

Keywords

convective diffusion equation; hypergeometric Gauss equation; diffusion coefficient; Kummer’s transformations; filtration; nonstationary equation
Suggested citation
Sagyndykova, R., Dyikanova, A., Zhusupbekova, S., Zhumaliev, T., & Bekturganova, B. (2025). Mathematical modelling of moisture and heat transfer processes in soils for crop irrigation optimisation. Bulletin of the Kyrgyz National Agrarian University, 23(1), 50-59. https://doi.org/10.63621/bknau./1.2025.50

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