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Simulation of fluid outflow from a channel with complex geometry

机译：复杂几何沟道中的流体流出流出的模拟

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Topic of the paper is the simulation of fluid outflow from a channel with complex geometry. Subject of the study is the outflow of fluid from a channel with an arbitrary section, in particular, consisting of a parabolic inlet, cylindrical middle and hyperbolic outlet sections. The paper considers the integral form of determining the pressure and the average flow rate of the fluid in a channel with an arbitrary cross section. From the obtained expression for the pressure and from the equation of conservation of mass, given in integral form, it is necessary to determine the pressure and the average flow rate in successively located channels with a parabolic, cylindrical and hyperbolic section. Research methods are based on: Newton’s rheological law; the continuity equation and the Navier-Stokes equation, which are the basic equations of fluid motion; the method of mathematical modeling and the analytical method for their solution. The paper contains integral expressions for the hydrodynamic characteristics of a fluid flow in a channel with an arbitrary section. The pressure and average flow rate in the channel of successively located parabolic, cylindrical, hyperbolic segments are determined. Analytical expressions are obtained for the pressure and average flow rate of the liquid in a channel with an arbitrary cross section. As an example, the pressures and the average flow rate in the channel from the parabolic inlet, cylindrical middle and hyperbolic outlet sections are determined. In perspective, by substituting in them an arbitrary arithmetic expression of the channel cross-section, it is possible to determine the hydrodynamic characteristics of the flow with any geometry of the flow channel.
机译：纸张的题目是模拟来自具有复杂几何形状的通道的流体流出。研究主题是流体从具有任意截面的通道流出，特别是由抛物线入口，圆柱形中间和双曲线出口部分组成。本文考虑确定具有任意横截面的通道中的流体的压力和平均流速的整体形式。从所获得的压力和压力方程的表达式以整体形式给出的压力等方程，有必要以抛物线，圆柱形和双曲线部分确定连续定位的通道中的压力和平均流速。研究方法基于：牛顿的流变法;连续性方程和Navier-Stokes方程，是流体运动的基本方程;数学建模方法及其解决方案的分析方法。本文包含用于具有任意部分的通道中的流体流动的流体动力学特性的整体表达式。确定抛物线，圆柱形，双曲线段的沟道中的压力和平均流速是确定的。为具有任意横截面的通道中的液体的压力和平均流速获得分析表达。作为示例，确定了来自抛物线入口，圆柱形中间和双曲线出口部分的通道中的压力和平均流速。在透视图中，通过代替通道横截面的任意算术表达，可以确定流动通道的任何几何形状的流动的流体动力学特性。

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