Engineering Mathematics


Volume 5, Issue 2, December 2021

  • Application of Analytical Methods About Equations of Stokes for Transient Condition in Flow Over Oscillating Plane and Oscillating Flow Over Stationary Plane

    Edris Ghonoodi, Davood Domeiri Ganji

    Issue: Volume 5, Issue 2, December 2021
    Pages: 13-21
    Received: 18 May 2021
    Accepted: 10 July 2021
    Published: 15 July 2021
    Abstract: In this study, two highly accurate and simple analytical methods (known as semi exact solutions), the variational iteration method (VIM) and Adomian’s decomposition method (ADM) are applied for illustrating transient condition of viscous fluid flow over oscillating plane and also oscillating viscous fluid flow over stationary plane. The flow of an ... Show More
  • Force of Inertia as Sort of Interaction

    Parfentev Nikolay Andreevich, Parfenteva Natalia Andreevna

    Issue: Volume 5, Issue 2, December 2021
    Pages: 22-24
    Received: 11 June 2021
    Accepted: 30 June 2021
    Published: 4 August 2021
    Abstract: The interaction of the temporal positions of a moving body with mass is now an experimental fact. Models of this interaction are easily determined by the assumption that time is an imaginary coordinate. As a result, the force of inertia can be presented together with other forces as a form of interaction of time positions - characteristic of any ki... Show More
  • Mathematical Model of Root Crop Digging with Longitudinal Vibrations

    Volodymyr Bulgakov, Aivars Aboltins, Hristo Beloev, Ivan Holovach, Valerii Adamchuk, Semjons Ivanovs, Yevhen Ihnatiev

    Issue: Volume 5, Issue 2, December 2021
    Pages: 25-38
    Received: 10 June 2021
    Accepted: 22 June 2021
    Published: 9 August 2021
    Abstract: The problem how to reduce damage to tubers when they are dug up is urgent. For the new design of a vibrating digging working body for root crops the mathematical model of longitudinal vibrations of a root crop in the soil is developed as an elastic body in an elastically damped medium. The Ostrogradsky-Hamilton variational principle is applied for ... Show More