A new framework for shallow approximations of incompressible flows by Shourick, Nathan, Cheddadi, Ibrahim, Saramito, Pierre

“…It allows both to avoid redundant mathematical hypotheses and to dramatically reduce the amount of tedious formal calculations. …”
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A Fast Finite-Difference Time Domain Simulation Method for the Source-Stirring Reverberation Chamber by Wenxing Li, Chongyi Yue, Atef Elsherbeni

“…In this paper, we present a fast simulation method, which is able to significantly decrease the simulation time of the source-stirring reverberation chamber. The mathematical model of this method is given in detail and home-made FDTD code is employed to conduct the simulations and optimizations as well. …”
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A Unified Weight Formula for Calculating the Sample Variance from Weighted Successive Differences by Kuo-Hung Lo, Tien-Lung Sun, Juei-Chao Chen

“…A proof is provided to show that sample variance calculated using the proposed unified weighted formula is mathematically equivalent to the basic definition.…”
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Analysis of singularity planar multi-linkage mechanism of fourth order by E. S. Gebel

“…That is why the singularity problem is relevant for such mechanisms and should be studied to avoid jamming of links or the appearance of uncontrolled movements. The mathematical model is based on the theory of screws and contains the closed-loop equilibrium equations obtained for the investigated mechanism. …”
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Lie Algebra Classification, Conservation Laws, and Invariant Solutions for a Generalization of the Levinson–Smith Equation by G. Loaiza, Y. Acevedo, O.M.L. Duque, Danilo A. García Hernández

“…We obtain the optimal system’s generating operators associated with a generalized Levinson–Smith equation; this one is related to the Liénard equation which is important for physical, mathematical, and engineering points of view. The underlying equation has applications in mechanics and nonlinear dynamics as well. …”
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Incompressible flows and the Boussinesq approximation: 50 years of CFD by Lappa, Marcello

“…We offer a synthetic exposition on the state of the art for Computational Fluid Dynamics (CFD) relevant to the Navier–Stokes equations with the Boussinesq approximation, smoothly blending a history of the field with an accessible exposition of the underlying mathematical rationale, supporting theorems and a survey of the landmark results on the subject. …”
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Method and device for detection of insulation breakdown on hull in power circuits of locomotives by A. N. Kalyakulin

“…The proposed method is based on the use of changes in electrical capacitance and insulation resistance in the circuit. The results of mathematical modeling and experimental research confirm the possibility of practical application of the breakdown detection device built on the basis of this method. …”
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Numerical Investigation on Suppressing High Frequency Self-Excited Noises of Armature Assembly in a Torque Motor Using Ferrofluid by Hasiaoqier Han, Songjing Li, Liang Guo, Qingwen Wu

“…Attempting to suppress high frequency self-excited noises of armature assembly, ferrofluid is added to the working clearances of torque motor. The mathematical model of resistance force of ferrofluid applied to armature is derived theoretically from parallel plate squeeze flow theory and ferrofluid constitutive model in which shear thickening and shear thinning effects are taken into account. …”
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Design and Assessment of a Multiple Sensor Fault Tolerant Robust Control System by S.S. Yang, J. Chen

“…The proposed design permits fault detection and controller elements to be designed with considerations to stability and robustness towards uncertainties besides multiple faults environment on a common mathematical platform. This framework can also cater to systems requiring fast responses. …”
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Binary mixture convection in a horizontal channel under the Soret effect action by Stepanova Irina

“…The mathematical model describing stationary flow of binary liquid mixture is under consideration. …”
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Complete Consistency of the Estimator of Nonparametric Regression Models Based on ρ~-Mixing Sequences by Xuejun Wang, Fengxi Xia, Meimei Ge, Shuhe Hu, Wenzhi Yang

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Evaluation of Turbojet Engine with Water Injection for Aircraft Use as Controlled Object by Alexandru-Nicolae Tudosie, Mihai Lungu

“…An embedded control system was described by its mathematical model; based on its equations, its block diagram with transfer functions was issued. …”
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Study on Dynamics of Hydraulic Control System for Automatic Loading and Unloading of Drill Pipe of Geological Drilling Rig by Zhijian Liu, Yunlong Chen, Hailong Ruan

“…The simulation model verifies the mathematical model. It is concluded that the maximum transient force of steel wire rope is caused by the elastic coefficient K of steel wire rope, but the magnitude is independent of K. …”
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Modelling infiltration processes in rain gardens: Influence of design parameters on hydrological efficiency by M. Kravchenko, T. Tkachenko, V. Mileikovskyi

“…Suboptimal rain garden designs may compromise hydrological performance during operation, necessitating developing and validating a mathematical model for engineering calculations and design assessment. …”
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Permeability Enhancement of Coal Seam by Lower Protective Layer Mining for Gas Outburst Prevention by Aiping He, Hua Fu, Bingjie Huo, Chaojun Fan

“…Based on the engineering background of the lower protective layer mining in Changping Coal Mine, the numerical simulation using the proposed mathematical model was performed. The results showed that the stress and permeability of the protected layer in #3 coal seam evolved dynamically with the advancement of the working face of the protective layer in #8 coal seam. …”
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Parametric Study of Rider’s Comfort in a Vehicle with Semi-Active Suspension System Under Steady State Conditions by Arinola Bola Ajayi, Sunday Joushua Ojolo, Ediketin Ojogho, Antonio Marcos de Oliveira Siqueira

“…Vehicle suspension system responses to the different road inputs were obtained by simulation based on the mathematical model developed using Matlab/Simulink software. …”
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Study of unusable liquid propellant residues evaporation processes parameters in the tanks of launch vehicle worked-off stage in microgravity by V. I. Trushlyakov, V. A. Urbansky

“…A high-temperature stream of hydrogen peroxide decomposition products is used as a heat carrier fed to the fuel tank. The physical and mathematical model of the liquid evaporation process is based on the first thermodynamics law. …”
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Study on Strength Variation of Permeable Concrete Based on Differential Calorimetry Method and Multi-Index Test by Sanqiang Yang, Meng Guo, Shichao Duan, Na Liu, Haonan Wu, Erxia Du, Meichen Liang

“…Moreover, the open gradation of pervious concrete mix ratio design is selected, and the cement content should be within the range of 20%–25%. (3) The mathematical model of permeability coefficient and porosity ratio of permeable concrete is established: k=−0.0003n2+0.0057n−0.0044; the mathematical model of permeability coefficient and compressive strength of open-graded pervious concrete: k=0.99006−0.05389c+8.02×10−4c2. …”
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Presenting a multi-objective decision-making model for cost-time trade-off considering the time value of money and solving it using particle swarm optimization by Mohammadreza Shahriari

“…To achieve this, a bi-objective mathematical model is developed to support decision-makers in selecting the optimal schedule for project execution.Methodology: In this study, a bi-objective mathematical model is proposed to balance cost and time, incorporating a nonlinear cost function and the time value of money. …”
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Ultrasonic Pretreatment-Assisted Electrohydrodynamic Drying of Potato Slices by Zhiyuan Cao, Changjiang Ding, Rui Zhao, Zhiqing Song, Hao Chen

“…The microstructure of potatoes was analyzed using infrared spectroscopy and scanning electron microscopy. Eight mathematical models were used to fit the drying of potatoes. …”
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