Removal of Cr(VI) from Wastewater Using a Natural Nanoporous Adsorbent: Experimental, Kinetic and Optimization Studies by Utkarsh Maheshwari, Suresh Gupta

“…Weber and Morris and Boyd models show that both intra-particle and film diffusion are the controlling mechanism for adsorption of chromium (VI) ions on the developed adsorbent. The mathematical model is developed to optimize the adsorption capacity (q) in terms of the influencing parameters with the help of differential evolution (DE) technique.…”
Get full text

Optimization of Damper Top Mount Characteristics to Improve Vehicle Ride Comfort and Harshness by Mina M. S. Kaldas, Kemal Çalışkan, Roman Henze, Ferit Küçükay

“…A detailed and accurate damper top mount mathematical model is implemented inside a validated quarter vehicle model to provide a realistic simulation environment for the optimization study. …”
Get full text

Analysis of the stability of a predator-prey model including the memory effect, double Allee effect and Holling type-I functional response. by Ramesh K, Ranjith Kumar G, Aziz Khan, Thabet Abdeljawad

“…We proceed to examine the significant mathematical aspects of the suggested model, including the uniqueness, non-negativity, boundedness, and existence of solutions to the noninteger order system. …”
Get full text

A sustainable HazMat logistic network design considering scale of economy and route sensitivity and solving with Hybrid GA-SA by Razieh Keshavarzfard, Azam Naderi

“…This study presents a mathematical model for vehicle routing of  HazMat from economic, route sensitivity, and uncertainty perspectives. …”
Get full text

Variability of Bimodal Soil-Water Characteristic Curves under Different Confining Pressures by Achmad Syarifudin, Alfrendo Satyanaga

“…In this study, the mathematical equations were developed to explain the effect of confining pressure on SWCC. …”
Get full text

Load balancing geographic routing strategy for aeronautical ad hoc networks by Bo ZHENG, Heng-yang ZHANG, Bao-liang WANG, Wei ZHAO

“…Furthermore, the multi-path traffic allocation scheme employing the queueing theory was modeled, and the mathematical expressions of some metrics were derived, such as the mean queue size, mean number of packets waiting in the queue, and mean waiting time. …”
Get full text

A Thermo-Hygro-Coupled Model for Chloride Penetration in Concrete Structures by Nattapong Damrongwiriyanupap, Suchart Limkatanyu, Yunping Xi

“…By developing the reliable mathematical model of chloride penetration into concrete structures, it can help structural engineers and management agencies with predicting the service life of reinforced concrete structures in order to effectively schedule the maintenance, repair, and rehabilitation program. …”
Get full text

Computation offloading scheme for RIS-empowered UAV edge network by Bin LI, Wenshuai LIU, Wancheng XIE, Zesong FEI

“…In order to address the challenge of low offloading rate caused by the obstacles blocking in the links between unmanned aerial vehicle (UAV) and ground users (GU) in urban scene, a partial task offloading scheme for UAV-enabled mobile edge computing with the aid of reconfigurable intelligence surface was proposed.A nonconvex and multivariable coupling stochastic optimization problem was formulated by the joint design of the computation task allocation, the transmit power of GU, the phase shift of RIS, UAV computation resource, and UAV trajectory, aiming at maximizing the minimum average data throughput of GU.By leveraging the properties of mathematical expectation, the stochastic optimization problem was transformed into a deterministic optimization problem.Then, the deterministic optimization problem was decomposed into three subproblems by using the block coordinate descent (BCD) algorithm.By introducing auxiliary variables, the nonconvex problems were transformed into convex optimization problems via the successive convex approximation and semidefinite relaxation, and then the approximate suboptimal solution of the original problem was obtained.The simulation results show that the proposed algorithm has good convergence performance and effectively improves the average data throughput of GU.…”
Get full text

Analysis of Density Wave Oscillations in Helically Coiled Tube Once-Through Steam Generator by Junwei Hao, Yaoli Zhang, Jianxiang Zheng, Zhiwei Zhou, Xuanyu Sheng, Gang Hong, Kai Ye, Ning Li

“…Based on the steady-state calculation, the mathematical model of single-channel system was established, and the transfer function was derived. …”
Get full text

An effective routing scheme of sparse wireless sensor networks by Chao SONG, Yingfeng ZHENG, Wenbin ZHAO

“…In order to make the energy-constrained mobile agent node obtain the minimum total route，an effective routing scheme of energy-constrained mobile agent node in sparse wireless sensor networks was presented. The mathematic model of the route of mobile agent node was built firstly，and then the whole wireless sensor network was split into different subsets according to the energy of the mobile agent node. …”
Get full text

Research and Verification of Key Techniques in the Simulation of Space Extremely Rapid Decompression in Millisecond by Junwei Wang, Lei Zhang, Guohua Li, Ran Liu, Juan Ning, Xiao Han, Xin He

“…A new reusable quick opening mechanism which can be opened in millisecond is designed to meet the testing requirement of ground simulator for extremely rapid decompression, and the testing results show that the quick opening mechanism can be opened within 0.1 s. The mathematical formulation is also developed, and the comparisons with the results from the literature demonstrate its validity. …”
Get full text

Very Fast and Accurate Procedure for the Characterization of Photovoltaic Panels from Datasheet Information by Antonino Laudani, Francesco Riganti Fulginei, Alessandro Salvini, Gabriele Maria Lozito, Salvatore Coco

“…It introduces and takes advantage of further important mathematical considerations without any model simplifications or data approximations. …”
Get full text

RESEARCH ON FLASH TEMPERATURE OF CONSTANTLY NO CLEARANCE PRECISION STEEL BALL EQUAL-SPEED TRANSMISSION by XIA JingQi, AN ZiJun, JIANG Wei

“…On the basis of mechanism structure and the flash temperature theory, the instantaneous contact temperature-rise principle of constantly no clearance precision steel ball equal-speed transmission is studied and the formulas of the spin speed on each contact point, maximum contact stress, and frictional power are derived. Meantime, the mathematical model of instantaneous contact temperature risen of engagement pairs is established. …”
Get full text

Topological classification of critical points for hairy black holes in Lovelock gravity by Meng-Yao Zhang, Hou-You Zhou, Hao Chen, Hassan Hassanabadi, Zheng-Wen Long

“…Abstract In various fields of mathematical research, the Brouwer degree is a potent tool for topological analysis. …”
Get full text

Integrated hybrid model of sustainable supply chain in cement industry by Kiamars Fathi Hafshejani, Majid Bagheri Sorkhi, Mahmoud Modiri

“…Then, the relevant mathematical model was presented and solved in GAMS software using NSGA-II method in MATLAB software. …”
Get full text

Variable Volumetric Stiffness Fluid Mount Design by Nader Vahdati, Mehdi Ahmadian

“…In this paper, the new design concept, and its mathematical model and simulation results will be presented.…”
Get full text

Performance Enhancement of MRAC via Generalized Dynamic Inversion by Alharith Mahmoud, Abdulrahman H. Bajodah

“…Model Reference Adaptive Control (MRAC) guarantees closed loop stability and desired steady state performance of dynamical systems without undue dependence upon their mathematical models. However, the applicability of MRAC may not be suitable for systems that are crucial to safety due to its poor transient response. …”
Get full text

Simulation and Experimental Research on Tooth Power Skiving Cutting of Double-circular-arc Internal Gears by Wang Feng, Yang Shufeng, Xu Wenbo, Zhang Weijie, Yu Wentao

“…Based on the principle of power skiving, the relative positions of the cutting tool and the workpiece are sorted out, and a mathematical model for double-circular-arc internal gear tooth turning is established. …”
Get full text

The Research of Maneuverability Modeling and Environmental Monitoring Based on a Robotic Dolphin by Zhibin Xue, Liangliang Li, Yixiao Song

“…Additionally, an added tail joint allows for the turning movement with efficient parameters obtained by a fluid-structure coupling method. To obtain a mathematical model, several disturbance signals were considered, including systematic uncertainties of the parameters, the perpetually changing environment, the interference from obstacles with effective fuzzy rules, and a sliding mode of control. …”
Get full text

Numerical Simulation of Shale Gas Multiscale Seepage Mechanism-Coupled Stress Sensitivity by Xun Yan, Jing Sun, Dehua Liu

“…In this paper, an apparent permeability model which covers continue, slip, transition, and molecular flow and geomechanical effect was presented. Additionally, a mathematical model comprising multiscale, geomechanics, and adsorption phenomenon was proposed to characterize gas flow in the shale reservoir. …”
Get full text