scholarly journals Development of a systematic approach and mathematical support for the evacuation process

2021 ◽  
Vol 3 (4 (111)) ◽  
pp. 31-42
Author(s):  
Yedilkhan Amirgaliyev ◽  
Aliya Kalizhanova ◽  
Ainur Kozbakova ◽  
Zhalau Aitkulov ◽  
Aygerim Astanayeva
Keyword(s):  
Mathematical Model ◽  
Flow Distribution ◽  
Maximum Flow ◽  
Integrated Approach ◽  
Distribution Networks ◽  
Toxic Substances ◽  
Theoretic Approach ◽  
Mathematical Methods ◽  
Industrial Enterprises ◽  
Evacuation System

In modern conditions, due to the vastness of the territory of Kazakhstan, with a certain probability, natural disasters such as earthquakes, floods, avalanches, as well as accidents, destruction of buildings, epidemics, release of chemical toxic substances at industrial enterprises, fires in educational and medical institutions are possible, which justifies the relevance of modern methods and technologies for solving the problem of evacuation. The peculiarity of this work lies in the formation of an integrated approach for organizing the evacuation process both in peacetime as training for the event of an emergency situation (emergency), and in the event of the emergency itself. A conceptual diagram of an evacuation system is proposed that uses heterogeneous sources for receiving and transmitting information about the onset of an emergency. The input and output sources for receiving and transmitting information about the number of people in the building are determined. The main purpose of the system is to form an operational real-time evacuation plan. This work is the result of a phased implementation of an integrated evacuation system, which consists in building a mathematical model and a method for solving the problem of maximum flow in the network. A mathematical model has been developed for the optimal flow distribution along the Grindshiels network with the analysis of the flow formation and the characteristics of people’s motion in enclosed spaces. A game-theoretic approach and mathematical methods of the theory of hydraulic networks for finding an equilibrium state in flow-distribution networks have been developed. An algorithm for solving the evacuation problem using the graph approach is proposed. The results of this paper make it possible to systematically organize training evacuations, prepare resources, train the personnel responsible for evacuation in order to quickly respond in an emergency and carry out the evacuation process in order to avoid major consequences.

Research on an axial-mounted dual magnetostrictive material rods-based electro-hydrostatic actuator

2021 ◽  
pp. 1045389X2110145
Author(s):  
Yuchuan Zhu ◽  
Chang Liu ◽  
Yunze Song ◽  
Long Chen ◽  
Yulei Jiang ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Flow Rate ◽  
Flow Distribution ◽  
Maximum Flow ◽  
Magnetostrictive Material ◽  
Simulation Techniques ◽  
Motion State ◽  
New Type ◽  
Output Characteristics ◽  
Active Rectification

In this paper, an electro-hydrostatic actuator driven by dual axial-mounted magnetostrictive material rods-based pumps (MMPs) with a new type of active rectification valve is designed in the current study. Based on flow distribution of the active rectification valve and driving energy provided by two MMPs, the actuator can output continuous and bidirectional displacement. By establishing a mathematical model of the actuating system, using simulation techniques, the change rule of hydraulic cylinder’s motion state caused by different driving signals are studied and analyzed. Test equipment platform is constructed in the laboratory to test the output characteristics and confirm the feasibility of the new concept. The experimental results indicate that the maximum flow rate can reach approximately 2.7 L·min−1, while the operating frequency is 180 Hz.

Network analysis models – the secret for success

2004 ◽  
Vol 4 (5-6) ◽  
pp. 383-388
Author(s):  
D.M. Rogers
Keyword(s):  
Mathematical Model ◽  
Field Data ◽  
Essential Element ◽  
Distribution Networks ◽  
Automatic Calibration ◽  
Supply And Distribution ◽  
The World ◽  
Optimum Approach ◽  
Analysis Models

Water is a fundamental necessity of life. Yet water supply and distribution networks the world over are old and lacking in adequate maintenance. Consequently they often leak as much water as they deliver and provide an unacceptable quality of service to the customer. In certain parts of the world, water is available only for a few hours of the day. The solution is to build a mathematical model to simulate the operation of the real network in all of its key elements and apply it to optimise its operation. To be of value, the results of the model must be compared with field data. This process is known as calibration and is an essential element in the construction of an accurate model. This paper outlines the optimum approach to building and calibrating a mathematical model and how it can be applied to automatic calibration systems.

scholarly journals Economic-Mathematical Model and Mathematical Methods for Substantiating the Choice of the Company Innovation Strategy

2016 ◽  
Vol 9 (27) ◽  
Author(s):  
Aleksandr Mikhaylovich Batkovskiy ◽  
Pavel Andreevich Kalachikhin ◽  
Elena Georgievna Semenova ◽  
Yury Filippovich Telnov ◽  
Alena Vladimirovna Fomina
Keyword(s):  
Mathematical Model ◽  
Innovation Strategy ◽  
Mathematical Methods

scholarly journals CALCULATION OF TEMPERATURE OF ROUTINE WATER COOLED IN IRRIGATED LAYERS

2019 ◽  
Vol 2019 (3) ◽  
pp. 249-255
Author(s):  
N Usmonov ◽  
◽  
Sh Sanayev ◽  
Z Yusupov
Keyword(s):  
Mathematical Model ◽  
Cooling System ◽  
Material Balance ◽  
Polymeric Materials ◽  
Water Supply Systems ◽  
Evaporative Water ◽  
Circulating Water ◽  
Industrial Enterprises ◽  
Air Cooler ◽  
Air Conditioning Systems

The article describes the developed mathematical model, algorithm and program for calculating the process of cooling the water leaving the evaporative cooler and the final temperature of humid air. The compilation of a mathematical model is based on the analysis of literature data. Practically at all industrial enterprises, technological equipment is cooled by means of circulating water supply systems equipped with evaporative coolers. The article made a choice of a cooling system for air conditioning systems of residential premises. The developed basic design scheme of the evaporative water and air cooler with the irrigated layer is presented, as well as the estimated thermal and material balance. One of the main elements of these devices is a heat-mass transfer nozzle - sprinkler. This article presents the results of mathematical modeling of processes occurring in the volume of the sprinkler evaporator chamber, Raschig rings composed of vertical polymeric materials. Expressions are obtained for determining the values of air temperature based on the calculation of thermal modeling of the process of cooling circulating water in evaporative coolers of the type in question.

scholarly journals FORMALIZATION OF AN INTEGRATED APPROACH TO THE FORMATION AND MANAGEMENT OF FLEXIBLE ASSOCIATIONS OF CORPORATE STRUCTURES

2020 ◽  
pp. 7-17
Author(s):  
Volodymyr Baihushev ◽  
Liudmyla Holovkova
Keyword(s):  
Mathematical Model ◽  
Integrated Approach ◽  
Market Environment ◽  
Business Structures ◽  
Bounded Sets

Subject. The process of developing and researching the synthesis of a conceptual mathematical model for the formation and management of flexible unified corporate structures in an uncertain market environment. Purpose of work. Create and research a mathematical model for the formation and management of flexible integrated corporate structures in an uncertain market environment. Methodology of the work. The theory of bounded sets measurable in the Lebesgue theory for the formation and management of organizational business structures. Result of work. A conceptual mathematical model is developed for the formation and management of flexible unified corporate structures in an uncertain market environment, and the results of development and calculations are presented. Scope. It is used in the development of projects for the formation and managing combined corporate structures in an uncertain market environment for regulatory and flexible business areas. Conclusion. Created a conceptual mathematical model for the formation and management of flexible unified corporate structures in an uncertain market environment.

scholarly journals Mathematical modeling for prediction of complicated acute appendicitis in children

2018 ◽  
Vol 1 (1) ◽  
pp. 70-80
Author(s):  
V. S. Konoplitsky ◽  
V. V. Motygin ◽  
A. G. Yakimenko ◽  
D. V. Dmytriiev ◽  
T. I. Mikhalchuk
Keyword(s):  
Mathematical Model ◽  
Acute Appendicitis ◽  
Postoperative Period ◽  
Abdominal Cavity ◽  
Control Group ◽  
Toxic Substances ◽  
Healthy Children ◽  
Endogenous Intoxication ◽  
Complicated Course ◽  
Complicated Acute Appendicitis

Endogenous intoxication, which accompanies the complicated course of acute appendicitis in children, is one of the serious conditions, which are the main cause of complications in the postoperative period. Diverse clinical observations done by clinicians suggest that despite the use of modern technologies in operating equipment, anesthetic support, the number of complications in the postoperative period has no tendency to decrease, and the main cause of lethal outcomes with appendicular peritonitis is lightning development of severe degree of endotoxicosis, which develops as a result of resorbing toxic substances formed of many components, including pathogenic microflora and destruction metabolism. Purpose. Creation of a mathematical model for prediction of complicated acute appendicitis in children using the functions of regression analysis of EXCEL spreadsheet by approximating experimental data. Materials and methods. In the work, there is information about 59 patients with acute appendicitis treated at the clinic of pediatric surgery at the National Pirogov Memorial Medical University. The data on patients were divided into two groups: patients with not complicated course of pathology – 24 patients, and patients with complicated course of acute appendicitis – 35 children. The control group served the data of 37 healthy children. In each of the three groups, the following parameters were studied: gender, age, bed day, duration of the disease, presence of symptoms of peritoneal irritation, the nature of exudate in the abdominal cavity, the number of red blood cells, hemoglobin, leukocytosis, quantitative characteristics of white blood formula, ESR, cellogenic endogenous intoxication: leukocyte index of intoxication and hematological index of intoxication. All the data were determined directly at the time of hospitalization of a patient to the hospital. Results. Discussion. Based on multiple correlation x = f (x1 , x2 ) a two-factor mathematical model of probability of the complicated course of acute appendicitis in children was created. According to the obtained results of the study of the system of three equations with three unknowns, it was established that if the indicator of the form of the disease is y = 2.67 and above, when, in numerical terms, the result falls into the zone of complicated flow of acute appendicitis and completely coincides with data analysis of the three groups of patients. Conclusions. The components that determine the uncomplicated course of acute appendicitis in children, according to the developed two-factor model, include LII and GPI, which exceed the values intoxication of certain intervals studied at the time of hospitalization. The analyzed indices were determined by the degree of severity of the pathological process, duration of disease, virulence of microflora and age of patients against the background of the formed endogenous intoxication syndrome.

scholarly journals Investigation on Gas-Soot Flow Distribution Characteristic of Soot Capture Process in the Wall-Flow Diesel Particulate Filter

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Jianyu Li ◽  
Chunping Lu ◽  
Dongli Tan
Keyword(s):  
Mathematical Model ◽  
Diesel Particulate Filter ◽  
Flow Distribution ◽  
Conservation Equation ◽  
Particulate Filter ◽  
Phase Flow ◽  
Distribution Characteristics ◽  
Two Phase ◽  
Capture Process ◽  
Diesel Particulate

In order to investigate the distribution characteristics of gas-particle two-phase flow in the diesel particulate filter in the capture process, a mathematical model of gas-particle two-phase flow for inside-and-outside filter had been established in the capture process according to the mass conservation equation, momentum conservation equation, and k-ε turbulence equation. The model verification was carried out with the experimental and simulated of flow distribution characteristics of gas-particle two-phase. The obtained results showed that the static pressure gradient along the radial distribution was greater at the inlet of the filter in capture process in the diesel particulate filter, which could easily lead to causing eventual fatigue damage due to stress concentration in the front-end of filter; moreover, the weaker the vortex strength of gas-particle formed in expansion pipe was, the better uniformity of flow velocity and soot concentration distribution were. Therefore, the established mathematical model can be used for predicting gas-particle flow velocity distribution in the diesel particulate filter.

scholarly journals Transformation of a mathematical model of gas flow distribution to solve the problems of gas supply system development

2020 ◽  
Vol 219 ◽  
pp. 02001
Author(s):  
Nikolay Ilkevich ◽  
Tatyana Dzyubina ◽  
Zhanna Kalinina
Keyword(s):  
Mathematical Model ◽  
Gas Flow ◽  
System Development ◽  
Flow Distribution ◽  
Supply System ◽  
Economic Environment ◽  
Gas Flows ◽  
Supply Systems ◽  
New Criteria ◽  
Gas Supply

This paper proposes taking into account new properties of gas supply systems in a mathematical model of flow distribution in comparison with the traditional formulation. The approach suggests introducing an arc coefficient, which allows for changes in the magnitude of gas flow passing along the arc, a vector of an increase in the arc throughput, and lower constraints on the gas flow along the arc. We also propose considering a new economic environment, namely, new criteria for optimizing the flow distribution and setting fictitious gas prices for consumers. These criteria enable us to take account of the priority gas supply to a definite group of consumers. As an example, the calculation of gas flows for the aggregated Unified Gas Supply System (UGSS) for 2030 is considered. This calculation takes into account the arc coefficients and the increase in the throughput of arcs.

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