Numerical Analyses of Static Characteristics of Liquid Annular Seals Based on 2D LBM-LES Model by Zhenjie Zhang, Lulu Zhai, Jia Guo, Zuchao Zhu, Guoyou Chen

“…In this paper, a two-dimensional (2D) mathematical model for predicting the leakage flow rates and static characteristics of liquid seal is established, based on the lattice Boltzmann method (LBM) combined with the D2G9 velocity model for incompressible fluid and large eddy simulation (LES) turbulence model, in which the transformation equation of reference pressure is developed with the Bernoulli equation. …”
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Diagnostics of heat exchange equipment on basis of operating parameters of diesel fuel hydrotreating unit by A. М. Demin, A. P. Naumenko

“…According to the results of calculations on a mathematical model of a typical hydrotreating unit using a real-time diagnostic program based on monitoring operational parameters, the criterion for assessing the state of the reactor unit heat exchanger increases from 1 to 1.37 with an increase in the annulus pollution coefficient. …”
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A mixed-integer linear programming model for scheduling volunteers in technical support teams in Non-Governmental Organizations by Valdir Soares Silva Neto, Ricardo Lukas de Medeiros França, Keren Karolyne Nóbrega Silva, Luciano Carlos Azevedo da Costa, Hugo Harry F. R. Kramer

“…To solve the problem, a mathematical model is proposed whose objective is to allocate volunteers to tasks for which they have the greatest ability. …”
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Feedback control of an HBV model based on ensemble kalman filter and differential evolution by Junyoung Jang, Kihoon Jang, Hee-Dae Kwon, Jeehyun Lee

“…We introduce and analyze a dynamic mathematical model that describes the HBV infection during antiviral therapy. …”
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An Improved Genetic Algorithm Based Robust Approach for Stochastic Dynamic Facility Layout Problem by Yunfang Peng, Tian Zeng, Lingzhi Fan, Yajuan Han, Beixin Xia

“…Mont Carlo simulation method is used to randomly generate different scenarios. A mathematical model is established to describe the dynamic facility layout problem with the consideration of transport device assignment. …”
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Analysis of blood flow features in the curved artery in the presence of differently shaped hybrid nanoparticles by K.N. Asha, Neetu Srivastava

“…This work provides a comprehensive overview of the mathematical model, its solutions, and visual data, offering valuable insights for researchers and medical professionals on the potential applications of hybrid nanoparticles in managing stenotic blood flow.…”
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Optimization of machining for the maximal productivity rate of the drilling operations by Ryspek Usubamatov, Abdusamad Abdiraimov

“…This paper presents a mathematical model for optimizing the cutting speed of a drilling machine tool to achieve its maximum productivity under realistic manufacturing conditions.…”
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Development and optimization of the activated charcoal suspension composition based on a mixture design approach by Ronowicz Joanna, Kupcewicz Bogumiła, Pałkowski Łukasz, Krysiński Jerzy

“…A slight increase in the content of carboxymethylcellulose sodium led to a marked decrease in adsorption power. The obtained mathematical models and response surface allowed selection of the optimal composition of excipients in a final drug product…”
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Presenting a one-objective optimization model to determine the reliability of the components of a coherent system by Elham Basiri

“…In both examples, the required values are determined to increase the reliability of the system components.Originality/Value: This research, using a mathematical model and numerical calculations with the help of R software, examines the optimization problem for a coherent system.…”
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Study of Enzymatic Hydrolysis of Fructans from Agave salmiana Characterization and Kinetic Assessment by Christian Michel-Cuello, Imelda Ortiz-Cerda, Lorena Moreno-Vilet, Alicia Grajales-Lagunes, Mario Moscosa-Santillán, Johanne Bonnin, Marco Martín González-Chávez, Miguel Ruiz-Cabrera

“…Hydrolysis process was monitored by measuring the sugars released and residual substrate by HPLC. A mathematical model which describes the kinetics of substrate degradation as well as fructose production was proposed to analyze the hydrolysis assessment. …”
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Tracking Control for Mobile Robots Considering the Dynamics of All Their Subsystems: Experimental Implementation by José Rafael García-Sánchez, Ramón Silva-Ortigoza, Salvador Tavera-Mosqueda, Celso Márquez-Sánchez, Victor Manuel Hernández-Guzmán, Mayra Antonio-Cruz, Gilberto Silva-Ortigoza, Hind Taud

“…The trajectory tracking task in a wheeled mobile robot (WMR) is solved by proposing a three-level hierarchical controller that considers the mathematical model of the mechanical structure (differential drive WMR), actuators (DC motors), and power stage (DC/DC Buck power converters). …”
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Local and global stability analysis of HIV/AIDS by using a nonstandard finite difference scheme by Amjid Hussain Morani, Maha Mohammed Saeed, Muhammad Aslam, Atif Mehmoud, Ali Shokri, Herbert Mukalazi

“…Abstract This study presents a mathematical model incorporating both asymptomatic and symptomatic HIV-infected individuals to analyze the dynamics of HIV/AIDS. …”
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Prolonging the Lifetime of Wireless Sensor Networks Interconnected to Fixed Network Using Hierarchical Energy Tree Based Routing Algorithm by M. Kalpana, R. Dhanalakshmi, P. Parthiban

“…This research work proposes a mathematical model for the lifetime of wireless sensor networks (WSN). …”
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Maximal productivity rate of threading machine operations by Ryspek Usubamatov, Darina Kurganova, Sarken Kapayeva

“…The physics of metal-cutting technologies is complex and cannot be described by one mathematical model because of different natures. Researchers derived an empirical formula of their tool life that describes the properties of the metal-cutting tools depending on many mechanical factors mentioned above. …”
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Dynamic Behaviors Analysis of a Chaotic Circuit Based on a Novel Fractional-Order Generalized Memristor by Ningning Yang, Shucan Cheng, Chaojun Wu, Rong Jia, Chongxin Liu

“…It is proved that the circuit based on the diode bridge cascaded with fractional-order inductor has volt-ampere characteristics of pinched hysteresis loop. Then the mathematical model of the fractional-order memristor chaotic circuit is obtained. …”
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A data-driven modeling method for secondary frequency regulation characteristic of thermal power units by LI Zhijun, SHA Qianli, YAN Xinrong, YAN Gangui, ZHU Lin, FANG Zheng, LI Junhui

“…Next， a second-order model represents the mathematical model of the units， with online adjustments to the model's damping coefficients to enhance adaptability to changes in regulation intensity. …”
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Model validation for a noninvasive arterial stenosis detection problem by H. Thomas Banks, Shuhua Hu, Zackary R. Kenz, Carola Kruse, Simon Shaw, John Whiteman, Mark P. Brewin, Stephen E. Greenwald, Malcolm J. Birch

“…In order to develop this methodology further, we use one-dimensional shear wave experimental data from novel acoustic phantoms to validate a corresponding viscoelastic mathematical model. We estimate model parameters which give a good fit (in a sense to be precisely defined) to the experimental data, and use asymptotic error theory to provide confidence intervals for parameter estimates. …”
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Effect of Low Ambient Pressure on Spray Cone Angle of Pressure Swirl Atomizer by Zhengyan Guo, Yi Jin, Kai Zhang, Kanghong Yao, Yunbiao Wang, Di Wu, Xiaomin He, Mei Zheng

“…The spray angle is captured by high-speed photography; then, an image post program is used to process the spray angle magnitude. A mathematical model of a single droplet’s movement and trajectory based on force analysis is proposed to validate the spray angle variation. …”
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Studies on the Effects of Interphase Heat Exchange during Thermal Explosion in a Combustible Dusty Gas with General Arrhenius Reaction-Rate Laws by K. S. Adegbie, F. I. Alao

“…A mathematical model for thermal explosion in a combustible dusty gas containing fuel droplets with general Arrhenius reaction-rate laws, convective and radiative heat losses, and interphase heat exchange between gas and inert solid particles is investigated. …”
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A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control by Mustapha Lhous, Omar Zakary, Mostafa Rachik

“…The main objective of this paper is to develop a new mathematical model to study, analyze, and control the family status in several regions and to discuss the impact of the connectivity of regions and the mobility of residents on the marital status of the family, by adopting a multiregion discrete-time model. …”
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