Детальная информация

In the planar hydraulics, the problems with previously unknown boundaries are most difficult. The best adequacy in terms of flow parameters is provided by simplified analytical methods based on a potential flow model. A mathematical model of a stationary, potential, 2D planar high-velocity open water flow of an ideal fluid, freely spreading back from a non-pressure orifice is studied. The boundary problem of flow free spreading in plane were formulated. Studying the system of dimensionless equations of motion resulted in identification of the criteria influencing the process of flow spreading. A critical analysis was carried out and a description of various methods for solving the problem of free spreading of a high-velocity water flow was given. The problem in an analytical form was solved in the velocity hodograph plane. All flow parameters are determined in the physical plane. For the first time, the conjugating flow "simple wave" was applied. The proposed analytical method for solving the problem of flow free spreading is effective, unambiguous and has no singularities and discontinuities, particularly, at the outlet of a non-pressure pipe. The adequacy of the mathematical model was verified on a test example. The relative error of the flow parameters does not exceed 10 % compared to the experimental data.

• Determining parameters of high-velocity open water flow
  • 1. Introduction
  • 2. Methods
    • 2.1. Motion equations of a 2D planar water flow in the physical region of a flow (ОХY)
    • 2.2. Boundary value problem of flow free spreading in plane
    • 2.3. Research of the boundary value problem without its complete solution
    • 2.4. Description of the analytical methods using the velocity hodograph plane
    • 2.5. Determination of flow parameters in various areas
  • 3. Results and Discussion
    • 3.1. Parameters in the area of uniform flow and on the characteristic of the 1st family
    • 3.2. Determining the coordinates of points along the boundary streamline
  • 4. Conclusions

Magazine of Civil Engineering / Санкт-Петербургский политехнический университет Петра Великого. — Санкт-Петербург: СПбПУ, 2020-. — Периодичность: 8 раз в год. — Выходит с 2020 г. — Загл. с титул. экрана. — Свободный доступ из сети Интернет (чтение, печать, копирование). — Электрон. журнал. — Текст: электронный

Magazine of Civil Engineering / Санкт-Петербургский политехнический университет Петра Великого. — Санкт-Петербург: СПбПУ, 2020-. № 1 (125), 2024. — 1 файл (9,34 Мб). — Свободный доступ из сети Интернет (чтение, печать, копирование). — Электрон. журнал. — <URL:http://elib.spbstu.ru/dl/2/j24-192.pdf>.