International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

  • Journals
  • Submission
  • Events
  • About us
  • Contact

Author: Sorokina N.

  • THEORETICAL FOUNDATIONS AND SPECIFICITY OF MATHEMATICAL MODELLING

    A MATHEMATICAL MODEL OF VISCOUS LIQUID MIXTURE MOTION THROUGH A VERTICAL CYLINDRICAL PIPE

    • Sorokina N.
    Mathematical Modeling, Vol. 1 (2017), Issue 4, pg(s) 178-179
    • Abstract
    • View Article
    •  Article PDF

    In the paper a mathematical model of the non-stationary motion of a viscous liquid mixture through the vertical straight pipe of the circular cross section is proposed. During the model construction weak compressibility of the mixture is considered. The Navier-Stokes equations system is taken as a basis. Such model can be used in the description of oil motion in a vertical well.

  • TECHNOLOGIES

    NUMERICALLY-ANALYTICAL SOLUTION OF THE TRANSPORTATION PROBLEM FOR THE VISCOUS WEAKLY COMPRESSIBLE LIQUID, MOVING THROUGH THE PIPELINE WITH NON-STATIONARY BOUNDARY CONDITIONS

    • Sorokina N.
    Machines. Technologies. Materials., Vol. 10 (2016), Issue 10, pg(s) 17-19
    • Abstract
    • View Article
    •  Article PDF

    In the paper we solve the problem of transporting viscous weakly compressible liquid through the pipeline of the circular cross-section under non-stationary conditions. This paper is based on previous author’s results, presented on WS of XIII MTM Congress.

    The Navier-Stokes equations are the basis for mathematical model. The liquid kinematic viscosity and its density are considered to be weakly changing with time. The non-stationarity is caused by specific boundary conditions, depending on time. The obtained results allow to optimize the control of a viscous weakly compressible liquid flows in the pipeline systems.

  • THE SOLUTION OF THE PROBLEM OF ONE-PARAMETER PERTURBATION OF THE VISCOUS INCOMPRESSIBLE LIQUID MOTION THROUGH STRAIGHT ROUND PIPE

    • Sorokina N.
    Machines. Technologies. Materials., Vol. 10 (2016), Issue 4, pg(s) 20-22
    • Abstract
    • View Article
    •  Article PDF

    In this paper the analytical solution of the differential equation, describing viscous incompressible liquid motion through straight round pipe, with one perturbation parameter is given. The perturbation is introduced into the equation through the disturbed viscosity, depending on the temperature. The solution of the corresponding differential equation is sought in the form of a series in the small parameter. Thus the flow reaction to the internal disturbance is studied. The solution, presented in this article, gives an opportunity to further studying the temperature impact on a viscous weakly compressible liquid motion through a pipe. This research may be of interest to the problems of hydrocarbons control flow through main pipelines.

  • MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

    MATHEMATICAL MODELING OF NON-STATIONARY FLOWS OF LIQUID HOMOGENEOUS VISCOUS MIXTURES BY PIPELINES

    • Firsov A.
    • Sorokina N.
    Mathematical Modeling, Vol. 1 (2017), Issue 1, pg(s) 18-22
    • Abstract
    • View Article
    •  Article PDF

    In the work a mathematical model for the non-stationary motion of liquid homogeneous viscous mixtures through pipelines is constructed. The corresponding integral equations expressing the laws of conservation of mass, momentum and energy are deriving, from which, in turn, we get the corresponding differential equations. The formulation of the initial and boundary conditions is given; the necessary additional relations that close the corresponding system of differential equations are indicated. A numerical algorithm for solving such a system is proposed. The corresponding numerical examples are given.

Congresses and conferences

  • VII International Scientific Conference
    "High Technologies. Business. Society"
    07.-10.03.2022 - Borovets, Bulgaria
  • XV International Conference for Young Researchers
    "Technical Sciences. Industrial Management"
    09.-12.03.2022 - Borovets, Bulgaria
  • XIX International Congress
    "Machinеs. Technolоgies. Materials"
    winter session
    09.-12.03.2022 - Borovets, Bulgaria
  • XXVIII International Scientific Technical Conference
    "Foundry"
    06.-08.04.2022 - Pleven, Bulgaria
  • X International Scientific Conference
    "Engineering. Technologies. Education. Safety"
    06.-09.06.2022 - Borovets, Bulgaria
  • XXX International Scientific Conference
    "trans&MOTAUTO"
    20.-23.06.2022 - Burgas, Bulgaria
  • VIII International Scientific Congress
    "Innovations"
    20.-23.06.2022 - Varna, Bulgaria
  • X International Scientific Congress
    "Agricultural Machinery"
    21.-25.06.2022 - Burgas, Bulgaria
  • VII International Scientific Conference
    "Industry 4.0"
    summer session
    22.-25.06.2022 - Varna, Bulgaria
  • VII International Scientific Conference
    "Conserving Soils and Water"
    24.-27.08.2022 - Borovets, Bulgaria
  • VIII International Scientific Conference
    "Materials Science. Non-Equilibrium Phase Transformations"
    05.-08.09.2022 - Varna, Bulgaria
  • XVII International Congress
    "Machines. Technologies. Materials"
    summer session
    07.-10.09.2022 - Varna, Bulgaria
  • VI International Scientific Conference on Security
    "Confsec"
    05.-08.12.2022 - Borovets, Bulgaria
  • VII International Scientific Conference
    "Industry 4.0"
    winter session
    07.-10.12.2022 - Borovets, Bulgaria
  • VI International Scientific Conference
    "Mathematical Modeling"
    07.-10.12.2022 - Borovets, Bulgaria

Scientific Technical Union of Mechanical Engineering "Industry-4.0"

108, Rakovski Str., 1000 Sofia, Bulgaria
tel. (+359 2) 987 72 90, tel./fax (+359 2) 986 22 40,
office@stumejournals.com