Water Flow Parameters on the Symmetry Axis and Extreme Line of Current
Introduction. An analysis of mathematical models of two-dimensional planned flows was carried out. Such flows are characterized by local depth-averaged velocities and local depths at each point of the flow. The mathematical model formation of the water flow is based on its division into several sect...
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Moscow State University of Civil Engineering (MGSU)
2023-08-01
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| author | O. A. Burtseva M. S. Alexandrova |
| author_facet | O. A. Burtseva M. S. Alexandrova |
| author_sort | O. A. Burtseva |
| collection | DOAJ |
| description | Introduction. An analysis of mathematical models of two-dimensional planned flows was carried out. Such flows are characterized by local depth-averaged velocities and local depths at each point of the flow. The mathematical model formation of the water flow is based on its division into several sections. There is a section where the flow parameters (velocity, depth, width) are kept constant at the stage of flow exit from the pipe — the inertial front. The purpose of the article and its relevance are defined.Materials and methods. By introducing dimensionless complexes on the basis of π-theorem, the formula for the length of inertial front of the water flow at its spreading from a rectangular pipe into a wide diverting channel is derived. An analogy from gas dynamics is used, namely, the transition to the plane of the velocity hodograph. Using the velocity hodograph, the distribution of depths and velocities of the flow along its longitudinal axis of symmetry and along the extreme line of current was obtained. The main computation tasks for the flow parameters have been formulated.Results. Numerical calculations of the formulated main tasks for determining flow parameters are described. Comparison with experimental data is given and the adequacy of the refined mathematical model of a two-dimensional planned flow is confirmed.Conclusions. The resulting formula for the length of the inertial front makes it possible to achieve the desired error in calculating the parameters of the water flow. With flow expansions up to 5, the relative error of the ordinates and flow velocities does not exceed 7–10 %. Calculation formulas and implemented programs will allow HTS designers to quickly and accurately determine the boundaries, speed and depth of free flow on the culvert. |
| format | Article |
| id | doaj-art-6709967a12714cb383064a06fb2f9c36 |
| institution | Kabale University |
| issn | 1997-0935 2304-6600 |
| language | English |
| publishDate | 2023-08-01 |
| publisher | Moscow State University of Civil Engineering (MGSU) |
| record_format | Article |
| series | Vestnik MGSU |
| spelling | doaj-art-6709967a12714cb383064a06fb2f9c362025-01-09T08:22:48ZengMoscow State University of Civil Engineering (MGSU)Vestnik MGSU1997-09352304-66002023-08-011881262127110.22227/1997-0935.2023.8.1262-127110Water Flow Parameters on the Symmetry Axis and Extreme Line of CurrentO. A. Burtseva0M. S. Alexandrova1Platov South-Russian State Polytechnic University (NPI)Platov South-Russian State Polytechnic University (NPI)Introduction. An analysis of mathematical models of two-dimensional planned flows was carried out. Such flows are characterized by local depth-averaged velocities and local depths at each point of the flow. The mathematical model formation of the water flow is based on its division into several sections. There is a section where the flow parameters (velocity, depth, width) are kept constant at the stage of flow exit from the pipe — the inertial front. The purpose of the article and its relevance are defined.Materials and methods. By introducing dimensionless complexes on the basis of π-theorem, the formula for the length of inertial front of the water flow at its spreading from a rectangular pipe into a wide diverting channel is derived. An analogy from gas dynamics is used, namely, the transition to the plane of the velocity hodograph. Using the velocity hodograph, the distribution of depths and velocities of the flow along its longitudinal axis of symmetry and along the extreme line of current was obtained. The main computation tasks for the flow parameters have been formulated.Results. Numerical calculations of the formulated main tasks for determining flow parameters are described. Comparison with experimental data is given and the adequacy of the refined mathematical model of a two-dimensional planned flow is confirmed.Conclusions. The resulting formula for the length of the inertial front makes it possible to achieve the desired error in calculating the parameters of the water flow. With flow expansions up to 5, the relative error of the ordinates and flow velocities does not exceed 7–10 %. Calculation formulas and implemented programs will allow HTS designers to quickly and accurately determine the boundaries, speed and depth of free flow on the culvert.https://www.vestnikmgsu.ru/jour/article/view/19mathematical modelhydrodynamics analysistwo-dimensional water flowopen-channel hydraulicsanalytical solution |
| spellingShingle | O. A. Burtseva M. S. Alexandrova Water Flow Parameters on the Symmetry Axis and Extreme Line of Current Vestnik MGSU mathematical model hydrodynamics analysis two-dimensional water flow open-channel hydraulics analytical solution |
| title | Water Flow Parameters on the Symmetry Axis and Extreme Line of Current |
| title_full | Water Flow Parameters on the Symmetry Axis and Extreme Line of Current |
| title_fullStr | Water Flow Parameters on the Symmetry Axis and Extreme Line of Current |
| title_full_unstemmed | Water Flow Parameters on the Symmetry Axis and Extreme Line of Current |
| title_short | Water Flow Parameters on the Symmetry Axis and Extreme Line of Current |
| title_sort | water flow parameters on the symmetry axis and extreme line of current |
| topic | mathematical model hydrodynamics analysis two-dimensional water flow open-channel hydraulics analytical solution |
| url | https://www.vestnikmgsu.ru/jour/article/view/19 |
| work_keys_str_mv | AT oaburtseva waterflowparametersonthesymmetryaxisandextremelineofcurrent AT msalexandrova waterflowparametersonthesymmetryaxisandextremelineofcurrent |