The main methods of regulating water flow and power of a microhydroelectric power plant are considered. New technical solutions are proposed for screw jet hydraulic turbines adapted to low heads and water flow rates. Preliminary calculations carried out by the authors show that the power of a micro-hydroelectric power plant depends on the individual factors of the area.As the speed of the water flow increases, the speed of the water wheel also increases, and in turn, the electric power of the micro-hydroelectric power plant is increased.
The problem associated with the development of gas fields with confined contour water is considered in the paper to increase gas recovery and determine the main indices of the reservoir, as well as the position of the moving boundaries for further development. To conduct a comprehensive study of the process under consideration, a computer model was developed described by a differential equation with the corresponding initial and boundary conditions. An algorithm was developed to solve the problem using the methods of the longitudinal-transverse scheme and the flow version of the sweep method. The results are validated with a test example and an example of a certain real object. The results are shown in the form of tables and isolines. Numerical experiments have shown that using this statement it is possible to apply the developed algorithms and software systems to solve the problem during field development.
The problem of dynamic vibration dampers of inherited-deformable systems with finite number of degrees of freedom is considered. Rheological properties of spring (suspension) are taken into account using integral model with Koltunov-Rzhanitsin relaxation core. The behavior of the system with a damper is considered at free attenuation oscillations caused by the specified initial conditions, as well as at constant, pulse and periodic external impacts. The obtained results make it possible to conclude on the expediency of using dynamic dampers to reduce amplitude of oscillations, both in perfectly elastic and in inherited-deformable systems during transient processes. A computational algorithm based on quadrature formulas is used to solve the problem.
The problem of calculating residual oil reserves and predicting wells flow rates is considered in the paper. A mathematical model for calculating this problem is given. A computational algorithm and a program for the mathematical model are created. Using the developed program the flow rate was predicted and the residual reserves were calculated on the example of a well of the Umid field. The convenience of the problem solution with a developed program is shown.
This paper presents a mathematical model of nonlinear supersonic flutter of viscoelastic shells. To describe the strain processes in shallow shells, the Boltzmann-Volterra integral model is used. Based on linear integral models in geometrically nonlinear formulations, equations of nonlinear oscillations of shallow shells are derived. The Koltunov-Rzhanitsyn kernel is used as a relaxation kernel. The equations of motion of shallow shells after applying the Bubnov-Galerkin method in axial coordinates are reduced to solve a system of nonlinear integro-differential equations (IDE) with variable coefficients relative to the time function. The IDE solution is found numerically using quadrature formulas.
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