Please use this identifier to cite or link to this item: http://dspace.snu.edu.ua:8080/jspui/handle/123456789/3053
Title: Transfer Functions for Shearing Stress in Nonstationary Fluid Friction
Authors: Sokolov, V.I.
Соколов, В.І.
Соколов, В.И.
Keywords: Fluid friction
Shearing stress
Equation of motion
Kinematic viscosity
Transfer function
Issue Date: 2019
Citation: Sokolov V. Transfer Functions for Shearing Stress in Nonstationary Fluid Friction / V. Sokolov // Proceedings of the 5th International Conference on Industrial Engineering. ICIE 2019. - 2019. - P. 707-715. - DOI : 10.1007/978-3-030-22041-9_76
Abstract: The dependence in the operator form for the shearing stress in nonstationary fluid friction is obtained. The transfer functions for the shearing stress of the velocity of the moving element and the pressure gradient are determined. Based on the analysis of amplitude-frequency characteristics, the boundaries of a quasi-stationary approach are established for calculating the forces of nonstationary viscous friction on the moving elements of hydraulic devices. To calculate the shearing stress, considering the effect of the inertia of the flow structure, we consider a nonstationary plane laminar motion of incompressible fluid in the gap between a moving and a fixed element in the Cartesian coordinate system. The solution of the equation of motion in partial derivatives is fulfilled using the Laplace transform. The estimation of the boundaries of the quasi-stationary approach to the calculation of the forces of nonstationary viscous friction is made from the amplitude-frequency characteristics of vibrations of the moving element and the pressure gradient. As the boundaries of quasi-stationarity, the frequencies at which the amplitude changes by more than 5% are adopted.
URI: http://dspace.snu.edu.ua:8080/jspui/handle/123456789/3053
Appears in Collections:Соколов Володимир Ілліч
Виступи, доповіді, тези

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