scholarly journals Numerical Model of Sic Particle Interaction with Solidification Front in Az91/(SiCp) Composite

2017 ◽  
Vol 62 (3) ◽  
pp. 1625-1628
Author(s):  
P. L. Żak ◽  
D. Kalisz ◽  
G. Rączkowski
Keyword(s):  
Mathematical Model ◽  
Numerical Model ◽  
Velocity Gradient ◽  
Solidification Front ◽  
Particle Interaction ◽  
Metallic Phase ◽  
Local Velocity ◽  
Sic Particles ◽  
The Mathematical Model ◽  
Sic Particle

AbstractPresented work focused on the movement of SiC particles in the vicinity of the solidification front in AZ91/(SiC)P composite. Authors describe the mathematical model that governs this phenomenon. On the base of following numerical model own computer program was prepared. The behavior of a particle moving parallel to the solidification front was analyzed. Three variants of local velocity gradient of liquid metallic phase were analyzed for a particle of radius 10, 50 and 100 μm. At a bigger velocity gradient the SiC particle was observed to go down quicker and to move towards the solidification front. This effect was stronger for SiC particles, which had a bigger radius, i.e. 100 and 50 μm

The mathematical modelling of corrosion in hot dip galvanized steel reinforced concrete

2011 ◽  
Vol 2 (1) ◽  
pp. 1-12
Author(s):  
A. Hegyi ◽  
H. Vermeşan ◽  
V. Rus
Keyword(s):  
Mathematical Model ◽  
Reinforced Concrete ◽  
Numerical Model ◽  
Equation System ◽  
Galvanized Steel ◽  
Steel Reinforced Concrete ◽  
Numeric Model ◽  
Physical And Mathematical Models ◽  
Physical Phenomena ◽  
The Mathematical Model

Abstract In this paper we wish to present the numerical model elaborated in order to simulate some physical phenomena that influence the general deterioration of steel, whether hot dip galvanized or not, in reinforced concrete. We describe the physical and mathematical models, establishing the corresponding equation system, the initial and boundary conditions. We have also presented the numeric model associated to the mathematical model and the numeric methods of discretization and solution of the differential equations system that describes the mathematical model.

Development of a Numerical Model to Predict Residual Stress Based on Acoustoelastic Effect Using Critically Refracted Ultrasonic Longitudinal (LCR) Waves

2012 ◽  
Author(s):  
Malur N. Srinivasan ◽  
Shrijwal Joshi ◽  
Jiang Zhou
Keyword(s):  
Mathematical Model ◽  
Residual Stress ◽  
Numerical Model ◽  
Longitudinal Wave ◽  
Compressive Stress ◽  
Ultrasonic Wave ◽  
Time Travel ◽  
Acoustoelastic Effect ◽  
The Mathematical Model

The paper contains the development of mathematical model of the ultrasonic wave travelling through the medium which has been critically refracted known as critically refracted longitudinal wave or Creep wave. This wave is very sensitive to the residual stress induced in a medium. The mathematical model uses ultrasonic wave as a compressive stress source, which shows a relation of stress with the time travel. The result shows that when the stress is increased by 400 MPa the time travel jumps from 3187 to 3158 ns.

scholarly journals FINDING THE LINEAR DEPENDENCE OF THE CROSS-SECTION PROFILE FOR A UNIFORM FEEDING OF BREAD MATERIAL IN THE THRESHING PROCESS

2020 ◽  
Author(s):  
I.R. Antypas ◽  
◽  
T.P. Savostina
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Numerical Model ◽  
Cross Section ◽  
Reliability Optimization ◽  
Profile Line ◽  
Section Profile ◽  
The Cross ◽  
Cross Section Profile ◽  
The Mathematical Model

The use of advanced methods and technologies of threshing and separation allows you to predict and minimize losses. The results of reliability optimization of the cross-section profile of the transporting device and its influence on threshing and separation have not yet been studied. To solve this problem, the article modeled a mathematical numerical model that allows you to describe the function of the cut profile line in a General way. The mathematical model is solved using experimental data.

scholarly journals A numerical model of elasticity for cardiovascular system that includes 2/3D displacements and deformations

2020 ◽  
Vol 11 ◽  
pp. 20
Author(s):  
Ayoub Azzayani
Keyword(s):  
Mathematical Model ◽  
Image Processing ◽  
Heart Disease ◽  
Numerical Model ◽  
Left Ventricular Function ◽  
Fiber Orientation ◽  
Existence And Uniqueness ◽  
Left Ventricular ◽  
2D And 3D ◽  
The Mathematical Model

In this work, we deal an elasticity model in 2D and 3D dimension for deformation under constraint by taking into account the direction of the deformation displacement. This work is a result of an article [A. Azzayani et al., Br. J. Math. Comput. Sci. (2016)] in which we use the same mathematical model by fixing the fiber orientation. Then, if we considered the case of eignvalue and eigenvector, and which is the case of this work, we can be able to control the deformation of the heart in the image processing. This mathematical model can be used to describe the heart deformation taking into account the orientation of the fibers for estimating global and regional parameters of the left ventricular function. In first, we start by presenting the proposed mathematical model on a domain Ω ⊂ ℝn (n = 2 or 3), and we give the existence and uniqueness of solution to the mathematical model is given (in both 2D and 3D dimension). Secondly, we give numerical simulations with FreeFem software, simulations results and comments are given in the end. In the end, we will discuss about the image treatment with this model and its feasibility to help doctors in the diagnosis of heart disease.

scholarly journals Numerical modeling of batch formation in waste incineration plants

2015 ◽  
Vol 17 (1) ◽  
pp. 1-6 ◽  
Author(s):  
Karel Obroučka ◽  
Jozef Vlček ◽  
Tereza Moravcová ◽  
Veronika Blahůšková ◽  
Pavel Fojtík
Keyword(s):  
Mathematical Model ◽  
Numerical Modeling ◽  
Numerical Model ◽  
Mathematical Description ◽  
Calorific Value ◽  
Waste Incineration ◽  
Controlled Assembly ◽  
Waste Storage ◽  
Proposed Model ◽  
The Mathematical Model

Abstract The aim of this paper is a mathematical description of algorithm for controlled assembly of incinerated batch of waste. The basis for formation of batch is selected parameters of incinerated waste as its calorific value or content of pollutants or the combination of both. The numerical model will allow, based on selected criteria, to compile batch of wastes which continuously follows the previous batch, which is a prerequisite for optimized operation of incinerator. The model was prepared as for waste storage in containers, as well as for waste storage in continuously refilled boxes. The mathematical model was developed into the computer program and its functionality was verified either by practical measurements or by numerical simulations. The proposed model can be used in incinerators for hazardous and municipal waste.

scholarly journals Numerical Model Of Binary Alloys Solidification Basing On The One Domain Approach And The Simple Macrosegregation Models

2015 ◽  
Vol 60 (3) ◽  
pp. 2431-2435 ◽  
Author(s):  
E. Majchrzak ◽  
B. Mochnacki ◽  
J. Mendakiewicz
Keyword(s):  
Mathematical Model ◽  
Numerical Model ◽  
Finite Difference Method ◽  
Numerical Solutions ◽  
Thermal Capacity ◽  
Thermal Processes ◽  
Domain Method ◽  
The Finite Difference Method ◽  
The One ◽  
The Mathematical Model

AbstractIn the paper the thermal processes proceeding in the domain of solidifying binary alloy are considered. The mathematical model of solidification and cooling processes bases on the one domain method (or fixed domain method). In such a model the parameter called a substitute thermal capacity (STC) appears. At the stage of STC construction the macrosegregation process described by the lever arm rule or the Scheil model is taken into account. In this way one obtains the formulas determining the course of STC resulting from the certain physical considerations and this approach seems to be closer to the real course of thermal processes proceeding in domain of solidifying alloy. In the final part the examples of numerical solutions basing on the finite difference method are presented.

scholarly journals Simulations and Tests of a KRET Aerospace Penetrator

Energies ◽  
2020 ◽  
Vol 13 (12) ◽  
pp. 3291
Author(s):  
Krzysztof Bieńkowski ◽  
Łukasz Kolimas ◽  
Sebastian Łapczyński ◽  
Michał Drogosz ◽  
Michał Szulborski ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Numerical Model ◽  
Boundary Conditions ◽  
Eddy Currents ◽  
Electromagnetic Properties ◽  
Laboratory Model ◽  
Engineering Data ◽  
Experimental Values ◽  
Physical Phenomena ◽  
The Mathematical Model

This manuscript presents the simulation tests of an aerospace penetrator conducted to check the device’s validity and functionality. For this work, the numerical model was created on the basis of engineering data, the laboratory model of the tube reluctance actuator was created on the basis of the numerical model, and a set of simulations were executed on the basis of both presented. Moreover, the mathematical model was supplemented by precise boundary conditions. The main goal was the analysis of the introduced device’s properties by comparing them to experimental values. Three different variants were taken into account to check the construction functionality and to study the most important parameters, e.g., the hammer displacement, hammer velocity, eddy currents and overall electromagnetic properties of the penetrator’s hammer displacement. The high-end values of the applied components were derived on the basis of the results and are presented in the summary of the concluded work. An overall method for checking the validity of the penetrator was proposed, which is cost and time effective. The model used was not limited in the representation of physical phenomena.

A Sulfur Diffusion Investigation in Metal and Oxide Phases

2006 ◽  
Vol 258-260 ◽  
pp. 433-440 ◽  
Author(s):  
Maya Radune ◽  
D. Ophir ◽  
Alex Lugovskoy ◽  
Michael Zinigrad ◽  
Dan Eliezer
Keyword(s):  
Mathematical Model ◽  
Molten Metal ◽  
Qualitative Agreement ◽  
Diffusion Processes ◽  
Metallic Phase ◽  
Mutual Interaction ◽  
Oxide Phases ◽  
Sulfur Diffusion ◽  
The Mathematical Model ◽  
Melted Metal

The purpose of the present work is to investigate the mutual interaction between the melted metal and oxide phases with a small amount of sulfur. In this research, the following phases took part: metallic phase of Fe – C – S and slag CaO–Al2O3 –MgO–S. The mathematical model of sulfur diffusion in the metal and oxide is employed. The experiment was carried out at the temperature of 1773K. The result of the calculation is in qualitative agreement with the experiment. The proposed approach can be applied to the investigations of diffusion processes in molten metal and slag phases.

DETERMINATION OF PERFORMANCE INDICATORS OF THE TRUCK KrAZ-6510TE

2020 ◽  
pp. 19-26
Author(s):  
Olexandr Pavlenko ◽  
Serhii Dun ◽  
Maksym Skliar
Keyword(s):  
Mathematical Model ◽  
Surface Friction ◽  
Building Structures ◽  
Maximum Torque ◽  
Military Equipment ◽  
Military Vehicles ◽  
Force Magnitude ◽  
Vehicle Mobility ◽  
The Mathematical Model

In any economy there is a need for the bulky goods transportation which cannot be divided into smaller parts. Such cargoes include building structures, elements of industrial equipment, tracked or wheeled construction and agricultural machinery, heavy armored military vehicles. In any case, tractor-semitrailer should provide fast delivery of goods with minimal fuel consumption. In order to guarantee the goods delivery, tractor-semitrailers must be able to overcome the existing roads broken grade and be capable to tow a semi-trailer in off-road conditions. These properties are especially important for military equipment transportation. The important factor that determines a tractor-semitrailer mobility is its gradeability. The purpose of this work is to improve a tractor-semitrailer mobility with tractor units manufactured at PJSC “AutoKrAZ” by increasing the tractor-semitrailer gradeability. The customer requirements for a new tractor are determined by the maximizing the grade to 18°. The analysis of the characteristics of modern tractor-semitrailers for heavy haulage has shown that the highest rate of this grade is 16.7°. The factors determining the limiting gradeability value were analyzed, based on the tractor-semitrailer with a KrAZ-6510TE tractor and a semi-trailer with a full weight of 80 t. It has been developed a mathematical model to investigate the tractor and semi-trailer axles vertical reactions distribution on the tractor-semitrailer friction performances. The mathematical model has allowed to calculate the gradeability value that the tractor-semitrailer can overcome in case of wheels and road surface friction value and the tractive force magnitude from the engine. The mathematical model adequacy was confirmed by comparing the calculations results with the data of factory tests. The analysis showed that on a dry road the KrAZ-6510TE tractor with a 80 t gross weight semitrailer is capable to climb a gradient of 14,35 ° with its coupling mass full use condition. The engine's maximum torque allows the tractor-semitrailer to overcome a gradient of 10.45° It has been determined the ways to improve the design of the KrAZ-6510TE tractor to increase its gradeability. Keywords: tractor, tractor-semitrailer vehicle mobility, tractor-semitrailer vehicle gradeability.

EXPERIMENTAL STUDIES OF CAR PROPERTIES ON A PHYSICAL MODEL

2019 ◽  
pp. 10-16
Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko
Keyword(s):  
Mathematical Model ◽  
Remote Control ◽  
Physical Model ◽  
Model Experiment ◽  
Experimental Studies ◽  
Electrical Energy ◽  
Short Term ◽  
Motor Current ◽  
Memory Card ◽  
The Mathematical Model

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.

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