矩形管道后快速流动的自由扩散模型

O. Burtseva, V. Kohanenko, S. Evtushenko, M. Alexandrova
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引用次数: 1

摘要

本文研究了紊流静止二维开势水流在矩形截面无压力管道后进入宽阔改道河床的自由扩散问题。采用一套非线性偏微分运动方程作为物理平面内流动的数学模型。当移动到速度轴平面时,非线性方程组被转换成关于偏导数的线性方程组。利用所得到的方程组,对二维水流沿流的各种问题进行了解析求解。本文确定了流动动力学参数t和表征任意等势和任意电流线交点处局部流速矢量方向的角度q。求出这些点的X, Y坐标。考虑了XD垂直锋面转变过程中角度θ变化的特性。本文提出了一个由二维水流模型向一维水流模型过渡的模块。这个模块是使用流动阻力定律和考虑阻力所必需的。本文提出的模型是对计算边界未知的势流和流扩展前势流的分析方法的发展。它允许以不超过10%的误差确定流量的整个几何和运动学参数范围。该模型对所有流量参数的充分性提高了先前现有方法的准确性。这使得道路涵洞的设计者能够提高其可靠性。
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THE MODEL OF FREE SPREADING A FLOW RAPID BEHIND A RECTANGULAR PIPE
The article considers the free spreading of a turbulent stationary two-dimensional open potential water flow into a wide diverting riverbed behind a non-pressure pipe of a rectangular section. A system of nonlinear partial differential equations of motion has been adopted as the mathematical model of the flow in the physical plane. When moving to the plane of the velocity hodograph, the nonlinear system of equations is transformed into a linear system with respect to partial derivatives. Using the obtained system of equations, various problems along the flow of two-dimensional water streams have been solved analytically. The paper determines the flow kinetics parameter t and the angle q characterizing the direction of the local flow velocity vector at the intersection points of an arbitrary equipotential and an arbitrary current line. The X, Y coordinates of these points are found. The peculiarities of changing the angle θ during the transition of the vertical front of the XD are taken into account. Article proposes a module for the transition from a two-dimensional water flow model to a one-dimensional one. This module is necessary for using the laws of flow resistance and taking into account the resistance forces. The model proposed in this paper is a development of analytical methods for calculating potential flows with previously unknown boundaries and before the flow expands. It allows determining the entire range of geometric and kinematic parameters of the flow with an error not exceeding 10%. The adequacy of the model for all flow parameters improves the accuracy of previously existing methods. This allows the designers of road culverts to increase its reliability.
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来源期刊
CiteScore
0.80
自引率
0.00%
发文量
43
审稿时长
4 weeks
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ИНСТРУМЕНТЫ ЦИФРОВИЗАЦИИ В ПРАКТИКЕ ПРОЕКТИРОВАНИЯ ПРИ РЕКОНСТРУКЦИИ ПОДЗЕМНЫХ ТРУБОПРОВОДОВ БЕСТРАНШЕЙНЫМИ МЕТОДАМИ РАСЧЕТНАЯ МОДЕЛЬ ДЕФОРМИРОВАНИЯ ГРУНТОВОГО ОСНОВАНИЯ ВЫСОТНОГО ЗДАНИЯ С УЧЕТОМ ПРЕДЫСТОРИИ ЗАГРУЖЕНИЯ СОВОКУПНЫЙ РИСК ПРИ РЕАЛИЗАЦИИ КРУПНОГО КОМПЛЕКСНОГО ПРОЕКТА СТРОИТЕЛЬСТВА АТОМНОЙ ЭЛЕКТРОСТАНЦИИ НЕСУЩАЯ СПОСОБНОСТЬ СТАЛЕЖЕЛЕЗОБЕТОННЫХ СТЕН С ЛИСТОВЫМ АРМИРОВАНИЕМ НА СТАТИЧЕСКИЕ НАГРУЗКИ ANALYTICAL ANALYSIS OF COMBINED FOUNDATION PLATES, SUBJECTED TO AN ACTION OF ANTISYMMETRIC LOADS
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