The mathematical model allows for the evaluation of the performance efficiency of the water filter, taking into account changes in concentration, porosity, pressure values and the fouling process. To select the appropriate problem-solving strategy, scientific research conducted over the past 10–15 years on the mathematical modelling of this process was analysed. A mathematical model and a numerical algorithm describing a system of partial differential equations and their corresponding initial and boundary conditions have been developed to solve the problem.
| Mualliflar | Ermonova, Mohinur, Xолобоев, Сироджиддин |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashr sanasi | 2026-04-30 |
| Son | 2 |
| Betlar | 69-77 |
| Til | Rus |
Brinkman-Darcy equations, hydrodynamics of porous media, mass transport, numerical approximation, liquid purification, Уравнения Бринкмана-Дарси, гидродинамика пористых сред, массоперенос, численное приближение, очистка жидкостей, Brinkman-Darcy tenglamasi, gidrodinamik g‘ovak muhit, transport masalasi, sonli aproksimatsiya, suyuqlik filtri
This article is devoted to a comprehensive analysis of the database architecture of the state information system “E-Shahodatnoma”. The study studied the performance characteristics of the Microsoft SQL Server 2022…
This article presents a methodology for integrating multi-source geospatial data for soil salinity modeling. Field and laboratory observations, Sentinel-2 MSI imagery, spectral indices, and hydrogeological factors such…
Ushbu tadqiqot mahalliy mahsulot savdosi uchun virtual platformada axborot almashinuvi jarayonlarini modellashtirish va optimallashtirishga bag'ishlangan. Tadqiqot obyekti raqamli platforma ichidagi axborot oqimi, mavzu…
Stealthy SQL injections using obfuscation, alternative encodings, and semantically veiled constructs remain a hard-to-detect threat to web applications. The paper proposes the INSECT framework, which combines formal…
This article proposes a conceptual model of enterprise energy monitoring based on IoT and edge computing. The model is designed for real-time monitoring, analysis, and management of energy consumption in industrial…
The article proposes a theoretical and methodological framework for the parameter-efficient adaptation of pre-trained large language models (specifically the LLaMA-3 and Mistral-7B classes) to the Uzbek language under…
This article considers the issues of analyzing ECG signals based on statistical methods. In the study, the main parameters obtained from electrocardiogram signals were evaluated using mathematical and statistical…
LLMs accelerate software development but often generate insecure code. This study proposes the Security Information Budget (SIB), a real-time metric measuring mutual information between model hidden representations and…
This article discusses the fundamental role of the Euler function and Euler's theorem in public-key cryptosystems, in particular the RSA algorithm. The article analyzes the mathematical foundations of the Euler…
This article discusses the design of a laboratory device for determining the photoactive spectral range of photovoltaic elements. The proposed device makes it possible to evaluate the efficiency of electrical energy…