Synthesis of dendritic silver nano powder using pulsing electrolysis in ammonia solution by Soltanzadeh A., Shahini S., Rashchi F., Saba M.

“…The optimum condition to synthesize the dendritic silver nano powders were 7.52 V; [NH3] = 64.75 g/L; [Ag+] = 0.45 g/L; total time = 17.59 min; Ton = 6.97 ms; Toff = 4 ms; and Trev = 1.89 ms. A mathematical model was also presented. The predicted silver nano size dendrite arm at the optimum condition was found to be 87.29 nm which was very close to the experimental value of 90 nm.…”
Get full text

Structural and Economic Approach to the Selection of Peak Regulating Capacities at Thermal Power Plants by E. V. Bohdan, M. B. Karnitski

“…A generalized desirability function has been obtained, which includes a number of parameters for choosing a rational relationship and mutual influence between the reliability and efficiency of electricity production with the participation of thermal power plant equipment in regulating the daily load schedule. The proposed mathematical model is an effective means of analyzing the suitability of equipment for use in the required operating modes.…”
Get full text

Thermal performance and MHD peristaltic flow of hybrid nanofluid (Au-Ta/Blood) in an asymmetric conduit with electro-osmosis and shape factor effects by K. Thirunavukarasan, G. Sucharitha

“…The current research aims to create a mathematical model for targeted drug delivery systems, applicable in areas like cancer treatment, genetic disorder therapies, and infection management. …”
Get full text

Bifurcation and Stabillity Analysis of HIV Transmission Model with Optimal Control by Kumama Regassa Cheneke, Koya Purnachandra Rao, Geremew Kenassa Edessa

“…A mathematical model of HIV transmission is built and studied in this paper. …”
Get full text

COMMUNITY RESPONSE (CRM)-BASED PRIORITY SCALE SYSTEM FOR TRANSJAKARTA ROUTE REPAIR in DKI JAKARTA PROVINCE by Hairrudin, Agus Suroso

“…The Road Damage Index (RDI) mathematical model was developed for an objectives assessment of the level of road damage, with Corridor 13 having the highest Road Damage Index (RDI) score (15), indicating the most urgent repairs needs. …”
Get full text

Research on Slope Deformation Prediction Based on Fractional-Order Calculus Gray Model by Li Li, Yue Qiang, Shaohong Li, Zhongchao Yang

“…The use of the mathematical model to predict slope deformation has been proved to be feasible by many studies; therefore, the choice of the predictive model and the practicability of the model are crucial issues in the prediction of slope deformation, and the mathematical prediction model used should be less complicated considering the practicality of the model. …”
Get full text

Numerical Optimization of Drilling Parameters for Gas Predrainage and Excavating-Drainage Collaboration on Roadway Head by Mingkun Luo, Lei Yang, Haiou Wen, Dongsheng Zhao, Kun Wang

“…Assuming that the coal mass has a dual pore structure with fractures and pores, a multiphysical field coupling mathematical model is proposed for gas drainage. The governing equations of gas adsorption, seepage, and diffusion are considered. …”
Get full text

Optimal Control of a Spatio-Temporal Model for Malaria: Synergy Treatment and Prevention by Malicki Zorom, Pascal Zongo, Bruno Barbier, Blaise Somé

“…We used the theory of optimal control and applied a mathematical model for three connected patches. From previous studies with the same data, two patches were identified as reservoirs of malaria infection, namely, the patches that sustain malaria epidemic in the other patches. …”
Get full text

Optimization of heat and mass transfer processes in air conditioning systems in public buildings by A. V. Tsygankov, V. I. Lysev, A. K. Rubtsov, A. S. Shilin

“…Increasing the energy efficiency of air conditioning systems in public buildings and structures is an actual task. A mathematical model is proposed for determining the values of internal air temperatures and temperatures of the surfaces of enclosure in order to calculate the predicted values of heat fluxes in buildings and structures. …”
Get full text

Procedure of Active Residual Heat Removal after Emergency Shutdown of High-Temperature-Gas-Cooled Reactor by Xingtuan Yang, Yanfei Sun, Huaiming Ju, Shengyao Jiang

“…Transient analysis was carried out based on a one-dimensional mathematical model for steam generator and steam pipe of start-up loop to achieve safety and reliability. …”
Get full text

The Role of Migration in Maintaining the Transmission of Avian Influenza in Waterfowl: A Multisite Multispecies Transmission Model along East Asian-Australian Flyway by Akira Endo, Hiroshi Nishiura

“…We constructed a mathematical model to capture the global dynamics of avian influenza, identifying species and locations that contribute to sustaining transmission. …”
Get full text

THE METHOD OF CALCULATION AND ANALYSIS OF HEAT TRANSFER COEFFICIENT OF BIMETALLIC FINNED TUBES OF AIR COOLING UNITS WITH IRREGULAR EXTERNAL CONTAMINATION by V. V. Dudarev, S. O. Filatаu, T. B. Karlovich

“…The suggested method is based on a mathematical model developed with the use of the method of electrothermal analogy, whereby the heat flow through the wall of the finned tube is considered as divided into two components, viz. through the annular layer of outside contamination adjacent to the base of the ribs, and through the remaining part of the external ribbed surface covered with a thin layer of pollution. …”
Get full text

Ozone-Catalytic Treatment of Automotive Exhaust by S.R. Khairulin, D.V. Maksudov, M.A. Kerzhentsev, A.V. Salnikov, Z.R. Ismagilov

“…The results of the mathematical modeling were confirmed by testing this device for purifying exhaust gases of a YaMZ-238M2 engine. …”
Get full text

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. …”
Get full text

The Small-Signal Stability of Offshore Wind Power Transmission Inspired by Particle Swarm Optimization by Jiening Li, Hanqi Huang, Xiaoning Chen, Lingxi Peng, Liang Wang, Ping Luo

“…This paper established a mathematical model of the doubly fed induction generator (DFIG) integrated into the IEEE9 system via VSC-HVDC in detail, and small-signal stability analysis of offshore wind farm (OWF) grid connection is specially studied under different positions and capacities. …”
Get full text

On nonlinear coupled differential system for heat transfer in magnetized enclosure with T-shaped baffle by using machine learning by Khalil Ur Rehman, Wasfi Shatanawi, Lok Yian Yian

“…It is well consensus among researchers that the constructing mathematical model for heat transfer problems results set of coupled nonlinear partial differential equations (PDEs) and the solution in this regard gets a challenging task. …”
Get full text

Revising Transient-Pressure Solution for Vertical Well Intersected by a Partially Penetrating Fracture with Non-Darcy Flow Effect by Shuheng Cui, Jie Kong, Hongwei Yu, Cheng Chen, Junlei Wang

“…The principle purpose of this work is to formulate an accurate mathematical model to evaluate the transient pressure behavior of a well intercepted by a partially penetrating vertical fracture (PPVF) with non-Darcy flow effect. …”
Get full text

The Optimization of UAV-Assisted Downlink Transmission Based on RSMA by Lin Huang, Daiming Qu, Jianguo Zhou, Jialin Zhang

“…We first develop a mathematical model of the system and decompose the primary optimization problem into multiple subproblems according to parameter types. …”
Get full text

Data and implication based comparison of two chronic myeloid leukemia models by R. A. Everett, Y. Zhao, K. B. Flores, Yang Kuang

“…These results suggest that including sub-cellular mechanisms in a mathematical model of CML can increase the accuracy of parameter estimation and may help to predict long-term drug resistance.…”
Get full text

Numerical Simulation of Distribution Characteristics of Hydraulic Fish Habitat Index in 90° Spur Dike Areas by JIANG Li, DENG Xiaolong, ZHONG Liang, CHEN Jingyuan, ZHONG Xueyi, LIU Xiangqian, FU Qiang

“…The study of fish habitat in spur dike areas is of great significance to the ecological protection of rivers.In this paper,the distribution characteristics of the hydraulic fish habitat index in a spur dike area are discussed by a three-dimensional (3D) mathematical model for water flow.The results reveal that ① the flow velocity increases with the Froude number Fr;the width of the back flow area behind the dike decreases gradually,and the main flow area changes from rapidly varied flow to gradually varied flow and gradually returns to uniform flow.② The flow velocity gradient G in the main flow and back flow areas is small;the areas with G>2 are mainly concentrated on the left and right banks of the water channel and near the spur dike head,and on the cross-section,G declines as Fr grows.③ The distribution characteristics of the kinetic energy gradient M on the section of the spur dike from upstream to downstream are similar to those of G.The high-value areas of M appear on the right bank of the water channel and in the section with the relative channel width B⁺ of 0.25~0.40 near the spur dike head,but M is small on the left bank of the water channel and has little change along the way.④ With the increase in Fr,the velocity suitability S_u in the upstream of the spur dike decreases,while S_u at the spur dike and in the downstream cross-section of the spur dike increases.S_u of the back flow area in the downstream of the spur dike is small,generally not more than 0.3,while S_u in the main flow area may exceed 0.8,which indicates that the spawning habitat of fish in this area is better.The research results can provide a reference for the protection of fish resources in spur dike areas and the construction of ecological waterway projects.…”
Get full text