CFD Simulation of Multi-phase Flow Inside the Hydro-viscous Speed Regulating Clutch by Guo Guangchao, Xing Zuohui

“…Based on the computational fluid dynamics theory,the mathematical model of the fluid domain inside the hydro-viscous speed regulating clutch is established,and the multi-phase flow field in the radial groove friction pair is solved numerically by the CFD software. …”
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Navier-Stokes: Singularities and Bifurcations by Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales

“…This work not only broadens the scope of traditional mathematical analysis of the Navier-Stokes equations but also establishes a robust theoretical framework for the investigation of bifurcations and regularity in advanced functional spaces, fostering a deeper understanding of global regularity phenomena and the complex dynamics governing fluid systems. …”
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The Spectrophotometric Multicomponent Analysis of a Ternary Mixture of Ibuprofen, Caffeine and Paracetamol by the Combination of Double Divisor-Ratio Spectra Derivative and H-Point... by R. Hajian, N. Afshari

“…The concentrations of PAR and CAF compounds in their mixture are determined by using their respective standard addition graphs which are obtained by measuring the amplitude at either the maximum or minimum wavelengths selected. The mathematical explanation of the procedure is illustrated. …”
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Numerical Simulation of Flooding Process on Downstream Structure by Three-dimensional Dam-break Wave by YU Ruixing, LIN Qin, HE Shiming, ZHENG Yipeng, ZHENG Kaiyuan

“…While a quantitative forecast of the flow velocity and impact load during the dam-break flood is carried out, the reliability of the mathematical models in dealing with the fluid-structure interaction of water disasters is demonstrated by real-life cases and published data comparison. …”
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Comparison of different models to describe the lactation curve of Holstein cows in a small-scale dairy system by Luis Javier Montiel-Olguín, Felipe de Jesús Ruiz-López, Sergio Gómez-Rosales, Germinal Jorge Cantó-Alarcón, Eliab Estrada-Cortés, Héctor Raymundo Vera-Ávila

“…Modeling lactation curves with mathematical equations is useful to describe and predict the productivity of dairy cows. …”
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RELATIONSHIP BETWEEN INTERNAL PRESSURE AND CAVITY VOLUME CHANGE BASED ON LIQUID IMPACT LOADING TO BIMETALLIC THIN-WALLED TUBES by LIU JianWei, SUN ChangYing, LI YuHan, YAO XinQi, FAN XiangWen

“…Secondly,theory of internal pressure was analyzed in the process of the axial impact hydraulic performing and the radial forming of bimetallic thinwalled tubes. Mathematical model between the internal pressure and volume change in the tube blank cavity was obtained.Thirdly,generation regularity of internal pressure of the axial and the radial liquid impact of the bimetallic thin-walled tubes was performed using ANSYS WORKBENCH. …”
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A hydraulic track drive systems resistive force simulation: Considerations for system electrification by Hugh Coyle, Charles Young, Nicola Anderson, Lee Johnston, Robert Gilmour

“…An overview of hydraulic track drive systems employed in mobile rock crushers for the mining industry is provided. A mathematical model was developed to analyse thrust and resistive forces experienced during typical machine operations, including flat-plane tracking, incline climbing, and pivot turning. …”
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Computer visual syndrome: a need to overcome in primary health care by Xiomara Vasallo García, Loreta Sánchez Ortiz, Lisandra Sànchez Peñalver, Vismary Valdés Vales, Estela del Sol Liriano, Ana Home Martìnez

“…Theoretical methods were used: historical-logical, analytical-synthetic, inductive-deductive, and modeling; empirical ones: analysis of documents, observation, survey, expert criteria; and mathematic-statistics for the analysis of the data found. …”
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Decoupling microbial iron reduction from anoxic microsite formation in oxic sediments: a microscale investigation through microfluidic models by Giulia Ceriotti, Alice Bosco-Santos, Sergey M. Borisov, Jasmine S. Berg

“…Our results suggest that microbially mediated Fe-reduction could be more widespread in oxic subsurface environments than previously assumed. Moreover, our mathematical modeling of oxygen dynamics around biomass-rich layers revealed that the onset of anoxia is mainly controlled by biomass spatial organization rather than the conventionally used water saturation index. …”
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Available land for cellulosic biofuel production: a supply chain centered comparison by E G O’Neill, T J Lark, Y Xie, S Kim, B E Dale, G P Robertson, B Basso, C T Maravelias

“…Typical studies of the scale, cost, and greenhouse gas (GHG) mitigation potential of cellulosic biofuel take a land-centered approach which may neglect to account for the trade-offs between establishing bioenergy crops and the supply chain design decisions needed to allow those crops to be converted to liquid fuel. A mathematical programming approach is used to minimize the total annualized cost of a large-scale field-to-product system producing bioethanol in the USA midwest. …”
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Prediction and design optimization of mechanical properties for rubber fertilizer hose reinforced with helically wrapped nylon by Mengfan Wang, Lixin Zhang, Changxin Fu

“…First, a finite element simulation model and a mathematical model were established to analyze the influence of fiber layer arrangement on the maximum shear strain on the coaxial surface (MSS) and the reaction force on the extrusion roller (RF). …”
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Functional design of organizational structures in project management by А. А. Tikhomirov

“…Initial data volume for organizational design and parallels between organizational structures of a company in general and a project in particular have been given. A mathematical scheme of the projected organizational structure functional distribution has been proposed considering a five-stage approach in tracing functions. …”
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Improved DFA algorithm based on multi-dimensional finite automata by ONGYang-yang G, IUQin-rang L, ANGZhen-xi Y, HAOXiang-yu S, INGChi-qiang X, IAOHui-juan J, ENGZhi-bin P

“…Compiling multiple regular expression signatures into a combined DFA can blowup in state and storage space.Explanations from the prospective of information theory and multi-dimensional mathematical model were proposed fo-cusing on the most serious state explosion.Redundancy states were divided into zero-dimensional ones and one-dimensional ones.The former were compressed by dimension,and the later were dynamically built.The space com-plexity of the model came to the theoretical lower bound by the above methods.Then the multi-dimensional finite auto-mata (MFA) was proposed with the model.Experiments show that,the construction time taken by MFA is slightly less than XFA and is 2～3 orders of magnitude lower than DFA,STT redundancy compression algorithms and Hybrid-FA; the memory space of MFA is slightly higher than XFA,but is 1～2 orders of magnitude lower than DFA,STT redundancy compression algorithms,mDFA and Hybrid-FA; in the aspect of matching time,MFA ranks after DFA and Hybrid-FA,but ranks before XFA,and it achieves 1～2 orders of magnitude lower than that of STT redundancy compression algo-rithms and mDFA.…”
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Research on boundary control of vehicle-mounted flexible manipulator based on partial differential equations. by Yuzhi Tang

“…We present a novel mathematical model, derived using Hamilton's principle, which simplifies the analysis of the arm's dynamic behaviors by employing partial differential equations (PDEs). …”
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Dynamic Contact Analysis of Torus-involute Gear by Fang Meijuan, Liu Lei

“…Taking the torus-involute gear as study object,according to the theory of gear meshing and the gear hobbing process,the tooth surface equations of torus-involute gears with convex and concave teeth are derived by using the tooth surface equation of counterpart rack.According to the mathematical conditions of neither undercutting nor tooth pointing,based on MATLAB,the Graphical User Interface which contains geometric parameter designs of torus-involute gear is developed.In the light of the tooth surface equations of torus-involute gear,the three-dimensional coordinates of torus-involute gear are calculated which can be used to develop the3-D solid models.The Hypermesh is used to mesh the 3-D models of torus-involute gear.Based on the nonlinear contact algorithm,the finite element models of convex and concave torus-involute gears meshing are established which can be used to implement the dynamic contact analysis in ABAQUS.The results reveal that the width of torus-involute gears is limited by gear undercutting or tooth pointing and the maximum contact stress will be steady after hobbing for a while.The contact stress is small when just a pair of gear teeth are meshing,while the contact stress is large when two pairs of gear teeth are meshing.…”
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Study on Spatial Temporal Distribution Characteristics of Air Quality Index in Beijing and Its Correlation with Local Meteorological Conditions by Jiaqi Guo, Zhongke Feng

“…In order to explore the correlation between air quality and meteorological condition in Beijing from 2014 to 2017, researchers processed 52165 sample data from 35 air monitor stations by means of R statistical software, analyzed the spatial temporal distribution characteristics of air quality index (AQI) with Kriging and mathematical statistics and did the research on correlation between spatial temporal distribution characteristics of AQI and meteorological condition. …”
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Intuitionistic Fuzzy Possibilistic C Means Clustering Algorithms by Arindam Chaudhuri

“…Intuitionistic fuzzy sets (IFSs) provide mathematical framework based on fuzzy sets to describe vagueness in data. …”
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Advanced load balancing techniques using MIMO fuzzy logic: A panel distribution case study at state polytechnic of Malang by Ika Noer Syamsiana, Harry Hassidiqi, Wijaya Kusuma, Anang Dasa Novfowan, Arwin Datumaya Wahyudi Sumari, Chandra Wiharya

“…. • The Sugeno method was selected due to its utilization of a constant mathematical function. This approach offers the benefit of straightforward computation, which can enhance the system's speed and efficiency. • The results showed that the initial load imbalance was 30.86 %, reduced to 5.59 % after the application of load balancing, this is following the IEEE std 446–1995 which allows the maximum load imbalance percentage to be 5–20 %.…”
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Grid Connected Solar PV System with SEPIC Converter Compared with Parallel Boost Converter Based MPPT by T. Ajith Bosco Raj, R. Ramesh, J. R. Maglin, M. Vaigundamoorthi, I. William Christopher, C. Gopinath, C. Yaashuwanth

“…Also this model is based on mathematical equations and is described through an equivalent circuit including a PV source with MPPT, a diode, a series resistor, a shunt resistor, and dual boost converter with active snubber circuit. …”
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Results of novel theoretical approaches show a possible underestimation of building materials contribution to indoor radon levels by Maiorana Andrea, Di Carlo Christian, Ampollini Marco, Antignani Sara, Caprio Mario, Carpentieri Carmela, Bochicchio Francesco

“…Abstract The mathematical modelling represents one of the main possibilities to assess the radon gas coming out from building structures in a dwelling, especially in preventive strategies. …”
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