Characteristic Properties of Plane-Parallel Accelerating Unsteady Turbulent Pressure Flaw

Arestak Sarukhanyan (), Garnik Vermishyan () and Hovhannes Kelejyan ()

International Journal of Innovative Research and Scientific Studies, 2025, vol. 8, issue 3, 3467-3477

Abstract: One of the urgent problems in the study of applied hydrodynamics is the study of structural changes in turbulent accelerating plane-parallel pressure flow of viscous fluid. The investigation of structural alterations in turbulent accelerating plane-parallel pressure flow of viscous fluid is one of the most pressing issues in applied hydrodynamics research. It aims to identify regularities of hydrodynamic parameter changes in fluid channels of hydro-automation equipment in the case of unsteady flow of viscous fluid. When a viscous fluid flows unsteadily, the problem here is to find regularities in the hydrodynamic characteristics that vary in the fluid channels of hydro-automation equipment. This will allow for the correct design of individual components of hydraulic equipment, ensuring the precise and uninterrupted operation of the equipment. This will enable the accurate design of each hydraulic equipment component, guaranteeing the equipment's exact and continuous performance. The study of the plane-parallel unsteady accelerating flow of viscous fluid was carried out based on calculating the kinematic coefficient of turbulent viscosity. The kinematic coefficient of turbulent viscosity was calculated to examine the plane-parallel unstable accelerating flow of viscous fluid. Under conditions of axisymmetric change of the flow, a boundary problem was formulated, of which the boundary conditions were chosen in accordance with the pressure gradient and arbitrary distribution regularities of velocities in the section. The regularities of the dynamic viscosity coefficient change in turbulent flow were taken as a special condition. A boundary value problem is formulated under general initial and boundary conditions. A method for integrating the boundary value problem is developed, and regularities for changing instantaneous velocities over a cross-section are obtained. Analytical solutions were obtained, which allow for obtaining regularities of velocity change in the flow direction at any time. To get the regularities of velocity change in the flow direction at any moment, analytical solutions were produced. Based on the general solutions of the problem, solutions were obtained for accelerating flow under the influence of a constant pressure gradient on the fluid at rest. Solutions for accelerating flow when a continuous pressure gradient is applied to the fluid at rest were derived from the problem's general solutions. Computer-aided analyses have been used to plot graphs of the distribution of velocities in the section, average velocities, and the change in the coefficient of flow for different values of time. A graph of the change in energy loss over time under unsteady flow conditions has also been plotted.

Keywords: Graph of changes; hydrodynamic parameters; plane-parallel; unstable flow; viscous fluid. (search for similar items in EconPapers)
Date: 2025
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