scholarly journals Numerical investigation of gas dynamics in the pyro actuator found in the mechanism for unfolding aerodynamic surfaces

2017 ◽  
pp. 37-42
Author(s):  
M. N. Pravidlo ◽  
N. A. Lyubimova ◽  
L. V. Bykov
Keyword(s):  
Mathematical Model ◽  
Numerical Investigation ◽  
Gas Dynamics ◽  
Software Package ◽  
Dynamic Processes ◽  
Ansys Software ◽  
Collector System ◽  
Gas Dynamic ◽  
The Mathematical Model ◽  
Aerodynamic Surfaces

The article presents a mathematical model of a pyro actuator found in the mechanism for unfolding aerodynamic surfaces of aircraft, which includes a collector system. The mathematical model proposed takes into account linked gas dynamic processes in the internal pyro actuator chambers and the dynamics of its mechanical traveller. We supply results of numerically investigating the main parameters of working body flow, obtained by using the ANSYS software package.

JOURNAL BEARING WITH VARIABLE DYNAMIC CHARACTERISTICS: SIMULATION RESULTS AND VERIFICATION

2021 ◽  
Vol 2 ◽  
pp. 140-145
Author(s):  
A.S. FETISOV ◽  
A.V. KORNAEV
Keyword(s):  
Fluid Dynamics ◽  
Mathematical Model ◽  
Software Package ◽  
Computational Experiment ◽  
Journal Bearing ◽  
Dynamic Parameters ◽  
Plain Bearing ◽  
Ansys Software ◽  
Simulation Results ◽  
The Mathematical Model

The article presents the results of a computational experiment on modeling a smooth plain bearing with a controlled axial supply of lubricant. The basic relations of the mathematical model, boundary conditions and parameters of modeling the fluid flow in the gap region of the sliding support are presented. The description of the calculation of the sliding support in the Ansys software package is given. The results of modeling and the results of calculating the static and dynamic parameters of the simulated bearing are presented. Conclusions are drawn on the applicability of computational fluid dynamics programs for calculating sliding supports

Deregulation of p53-dependent microRNAs: the results of mathematical modeling

2017 ◽  
Vol 12 (1) ◽  
pp. 151-175 ◽  
Author(s):  
О.Ф. Воропаева ◽  
O.F. Voropaeva
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Numerical Analysis ◽  
Neurodegenerative Disease ◽  
Numerical Investigation ◽  
Tumor Markers ◽  
Critical Properties ◽  
Laboratory Studies ◽  
The Mathematical Model ◽  
Good Agreement

The mathematical model of the dynamics of the tumor markers network p53–Mdm2–microRNA for microRNA class with a direct positive connection with p53 was formulated. Numerical investigation of the microRNA functioning in conditions of the deregulation of p53 and p53–Mdm2-network was carried out. The deregulation of microRNA in detail was studied. The situations in which p53, its inhibitor Mdm2 and microRNAs exhibit critical properties for the patient's status and can be identified as diagnostic markers of cancer and neurodegenerative disease were studied. The results of numerical analysis are in good agreement with the data of clinical and laboratory studies of known microRNAs.

scholarly journals THERMOPHYSICS AND FLUID DYNAMICS. Special Chapters

2018 ◽  
Author(s):  
Alexander M. Molchanov
Keyword(s):  
Fluid Dynamics ◽  
Mathematical Model ◽  
Thermal Radiation ◽  
Gas Dynamics ◽  
Numerical Algorithms ◽  
Fluid Flows ◽  
Postgraduate Students ◽  
High Enthalpy ◽  
Scientists And Engineers ◽  
The Mathematical Model

The textbook is devoted to the description of the mathematical model of gas dynamics and thermal radiation of turbulent high-enthalpy gas and multiphase flows under conditions of thermal and chemical nonequilibrium.The book is a intended for scientists and engineers who deal with constructing numerical algorithms and performing practical calculations of gas and fluid flows and also for students and postgraduate students who specialize in heanumerical gas and fluid dynamics.

scholarly journals Mathematical model of dynamic processes during frictional hardening of the cylindrical surfaces of parts

2020 ◽  
Vol 100 (4) ◽  
pp. 29-39
Author(s):  
Volodymyr Gurey ◽  
Ihor Kuzio
Keyword(s):  
Mathematical Model ◽  
Metal Layer ◽  
Nanocrystalline Structure ◽  
Dynamic Processes ◽  
Special Device ◽  
Lagrange Equations ◽  
Spindle Unit ◽  
Transverse Grooves ◽  
The Mathematical Model ◽  
Frictional Hardening

The mathematical model of the elastic machine system has been developed, and describes the dynamic processes that occur during the frictional hardening of cylindrical surfaces of parts using a tool with transverse grooves on its working part, which forms a surface hardened metal layer with nanocrystalline structure. Transverse grooves on the working part of the tool increase the intensity of deformation of the surface layer in the contact area of the tool-part and the oscillating processes of the system. Differential equations that describe this process are based on Lagrange equations of the second kind. Based on the solution of the model’s the systems of equations, it is possible to determine the velocity and magnitude of displacement of a special device with autonomous drive of the tool, tool and treatment part during machining, reaction of device supports and spindle unit.

Mathematical model of radiation-induced shape change in fuel subassemblies of the BN-type reactor core and its implementation in ANSYS software package

2019 ◽  
pp. 190-199
Author(s):  
A. V. Ryabtsov ◽  
O. Yu Vilensky
Keyword(s):  
Mathematical Model ◽  
Software Package ◽  
Shape Change ◽  
Reactor Core ◽  
Structural Materials ◽  
Operating Conditions ◽  
Strained State ◽  
Ansys Software ◽  
Radiation Induced ◽  
Reactor Cores

One of main operability criteria for fuel subassemblies (FSAs) in fast sodium reactor cores, i.e. the criterion of tolerable shape change in hexagonal wrapper tube is formulated. The equations which enable one to inquire into kinetics of the stress-strained state of a three-dimensional body are adapted to FSAs operating conditions. A mathematical model of radiation-induced shape change in ferritic-martensitic steel of grade EP-450 is proposed. With regard to the proposed model and data on the radiation-induced shape change in other current and prospective structural materials of BN reactor cores, blocks for recording of radiation-induced swelling and radiation-induced creep are developed for ANSYS software package, which made it possible to utilize its potentials within this area of focus. The performed test case with proposed models of the radiation-induced swelling and radiation-induced creep demonstrates that the developed blocks sufficiently describe the radiation-induced shape change in the examined structural materials exposed to radiation. A calculation of the radiation-induced shape change in the FSA hexagonal wrapper tube with various speeds of the radiation-induced swelling and the radiation-induced creep moduli is performed. The calculations results and the results of FSAs post-irradiation dimension inspection are compared. Recommendations for use of the proposed models aimed at performing calculations, as well as estimating the radiation-induced shape change and defining the stress-strained state of FSAs are made.

NUMERICAL AND PROGRAM IMPLEMENTATION OF A ONE-DIMENSIONAL MATHEMATICAL MODEL OF HYDRAULIC FRACTURING

2021 ◽  
Vol 7 (1) ◽  
pp. 126-145
Author(s):  
Alexey S. SHLYAPKIN ◽  
Alexey V. TATOSOV
Keyword(s):  
Mathematical Model ◽  
Hydraulic Fracturing ◽  
Program Implementation ◽  
Software Package ◽  
Import Substitution ◽  
Point Of View ◽  
Growth Potential ◽  
Design Problems ◽  
Software Market ◽  
The Mathematical Model

At present, an active policy of import substitution is being pursued, dictated by the imposed international sanctions, which creates a need for finding optimal engineering solutions, in particular, in the field of creating Russian software. In the study and design of hydraulic fracturing, they often rely on the results of modeling in specialized simulators. The appearance of the Russian products on the software market, surely, sets the correct vector of development; however, some aspects are not implemented in the existing mathematical models. The authors of this article present a model that allows considering in detail the process of movement of proppant particles in a hydraulic fracture. The chosen direction is important from the point of view of calculating the fracture cavity and refining its productivity, since the behavior of the particles has a significant effect on both the growth potential of the crack and its shape. The research methodology includes a theoretical justification of the mathematical model presented by the authors in their previous works; a description of the basic principles of selecting and constructing a numerical calculation scheme and creating a software package. The main methods of research are the methods of mathematical modeling, formed from practical problems on the estimation of geometric parameters of the crack, including the areas of continuum mechanics and fracture of solids, underground hydrodynamics. The proposed and implemented numerically mathematical model forms the basis of the authors’ software package, which allows solving the main design problems when performing hydraulic fracturing operations.

Mathematical Modeling and Optimization of Fluidized Layer Carbonitriding Process for 1C 25 Steel

2017 ◽  
Vol 1143 ◽  
pp. 180-187
Author(s):  
Marian Iulian Neacsu ◽  
Sorin Dobrovici
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Software Package ◽  
Order Equation ◽  
Graphical Interface ◽  
Technological Parameters ◽  
Fluidized Layer ◽  
The Mathematical Model ◽  
Hardness Values ◽  
Temperature Depth

This paper presents the experiment-based mathematical modelling of fluidized bed carbonitriding process for 1C 25 steel meant to optimize this type of thermochemical processing.Based on experimental results, the mathematical model was developed, which is a second order equation with three unknown terms (parameters): temperature, depth of carbonitrided layer, the percentage of ammonia.The mathematical model allowed the simulation of the fluidized layer carbonitriding process according to its parameters and the thermal energy optimization for obtaining HV hardness values in the range 300-400 MPa.Using the software package Matlab a graphical interface was done, through which all the combinations of technological parameters of the carbonitriding process are determined, leading to obtaining values of microhardness between 300 and 400 MPa, as well as the amount of energy consumed for each variant. The variant consuming the lowest energy is considered optimal.

Design of Flexible Wing with Embedded Piezoelectric Actuator

2013 ◽  
Vol 325-326 ◽  
pp. 951-955
Author(s):  
Yu Hua Zhou ◽  
Yu Tao Ju ◽  
Chang Sheng Zhou
Keyword(s):  
Mathematical Model ◽  
Dynamic Characteristic ◽  
Piezoelectric Actuator ◽  
Micro Air Vehicles ◽  
Previous Model ◽  
Ansys Software ◽  
Flexible Wing ◽  
The Mathematical Model ◽  
Air Vehicles

This paper introduces a new kind of flexible wing with embedded piezoelectric actuator as framework for Micro Air Vehicles (MAV), which was fixed spar in the previous flexible wing. This made it a controllable flexible wing because the new flexible wing can not only works as previous model without control, but also can change its wing profiles in our purpose by using the embedded piezoelectric actuator when its necessary. The mathematical model of the deformation of piezoelectric actuator under control has developed. with which the structure of the flexible wing was designed. The simulation of dynamic characteristic of the flexible wing with embedded piezoelectric actuator has been done with ANSYS software.

scholarly journals Mathematical model of a flexible asymmetrical rotor for active magnetic bearing reaction wheel

2018 ◽  
Vol 158 ◽  
pp. 01025
Author(s):  
Miroslav Polyakov ◽  
Anatoliy Lipovtsev ◽  
Vladimir Lyanzburg
Keyword(s):  
Mathematical Model ◽  
Lagrange Equation ◽  
Magnetic Bearing ◽  
Active Magnetic Bearing ◽  
Active Magnetic Bearings ◽  
Ansys Software ◽  
Mass System ◽  
Linear Elastic ◽  
Orbit Control ◽  
The Mathematical Model

The paper introduces the mathematical model of rotor for active magnetic bearing reaction/momentum wheels, used as actuator in spacecraft attitude and orbit control system. Developed model is used for estimation of critical speeds and forced oscillation magnitudes with a glance of the rotor modes. Rotor is considered as a two-mass system, consisting of a shaft and a rim, active magnetic bearings are assumed to be a linear elastic springs. The equations of the rotor motion are derived using the Lagrange equation. Developed model is verified by comparing the calculated Campbell diagrams with the results of the finite-element modal analysis, performed in the ANSYS software.

scholarly journals A software package for the simulation of fluid flows in discrete fracture networks with vugs

2018 ◽  
pp. 405-415
Author(s):  
А.В. Блонский
Keyword(s):  
Mathematical Model ◽  
Software Package ◽  
Fluid Flows ◽  
Software Implementation ◽  
Computational Algorithms ◽  
Fracture Networks ◽  
Software Packages ◽  
Discrete Fracture Networks ◽  
Discrete Fracture ◽  
The Mathematical Model

Представлен программный комплекс для математического моделирования течений в дискретных системах трещин. Описана математическая модель течения, приведено краткое изложение вычислительных алгоритмов и сформулированы особенности программной реализации. Рассмотрена структура разработанного программного комплекса, обсуждаются аналогичные программные комплексы и указаны их отличия от представленного в настоящей статье. На ряде задач продемонстрирована работоспособность предложенных в статье математической модели, алгоритмов и программного комплекса. A software package for the mathematical simulation of fluid flows in discrete fracture networks is proposed. The mathematical model of flows is analyzed, a brief description of the computational algorithms is given, and the features of software implementation are formulated. The structure of the developed software package is considered, a number of similar software packages are discussed, and their differences from the proposed one are shown. A number of model problems are solved to demonstrate the efficiency of the proposed mathematical model, algorithms, and software implementation.

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