一个动态的单维模型,用于模拟污水管道中不稳定的空气-水分层流
Hao Le1, Biao Huang1, Chunling Wang2
1School of Civil and Environmental Engineering, Ningbo University, Ningbo 315200, Zhejiang, China.
概括
本研究提出了下水道通风的新数学模型,改进了空气流模拟,以更好地控制气味和压力. 该模型建立了空气到水流量和下水道填充比率之间的关键关系.
科学领域:
- 环境工程 环境工程
- 流体动力学 流体动力学
- 计算建模 计算建模
背景情况:
- 对于卫生和雨水下水道系统来说,有效的通风至关重要,以控制气味和压力激增.
- 现有的数值模型在实际应用中经常失败,原因是空气流模拟的局限性或仅适用于稳定状态条件.
研究的目的:
- 开发一个数学模型,准确模拟自然通风下下水道系统的运行条件.
- 在动态和复杂的现实世界下水道网络场景中解决当前模型的局限性.
主要方法:
- 模拟动态水流使用一个冲击捕获麦科马克方案.
- 开发了一种集成能量和动量方程的动态空气流模型,避免了代压力计算.
- 集成的接口摩擦系数来改进动量交换和空气压力解释.
主要成果:
- 该模型表现出适应复杂边界条件的适应性,适用于真实下水道网络空气流模型.
- 确定了空气到水流量比率和自然通风下的填充比率之间的直接相关性.
- 一个经验公式被推导出来表示这种已识别的关系.
结论:
- 开发的数学模型为模拟下水道系统中的自然通风提供了重大进步.
- 这些发现提供了实际的工程见解,特别是空气到水流量和填充比率的衍生实证公式.
相关概念视频
Typical Model Studies
356
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
356
Uniform Depth Channel Flow
70
Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
70
Introduction to Types of Flows
1.2K
Fluid flows are categorized by dimensionality and behavior, with one-dimensional flow being the simplest form, where properties like velocity and pressure change only along a single axis. Water moving through straight pipes exemplifies this flow type, as variations in other directions are minimal. One-dimensional analysis helps simplify understanding such flows, focusing solely on changes along the pipe's length.
Two-dimensional flow involves changes in both length and height, as seen in...
Two-dimensional flow involves changes in both length and height, as seen in...
1.2K
Steady, Laminar Flow Between Parallel Plates
174
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
174
Bernoulli's Equation for Flow Along a Streamline
961
Bernoulli's equation relates the energy conservation in a fluid moving along a streamline. The equation applies to incompressible and inviscid fluids under steady flow. For such a flow, Newton's second law is applied to a small fluid element, which experiences forces due to pressure differences, gravity, and velocity variations. The force balance leads to the following form of Bernoulli's equation:
961
Conservation of Mass in Fixed, Nondeforming Control Volume
1.2K
The principle of conservation of mass is fundamental in fluid dynamics and is crucial for analyzing flow within fixed control volumes, such as pipes or ducts. This principle states that the total mass within a control volume remains constant unless altered by the inflow or outflow of mass through the control surfaces. This results in a vital relationship for steady, incompressible flow where the mass entering a system equals the mass leaving it.
In the case of a sewer pipe, which can be modeled...
In the case of a sewer pipe, which can be modeled...
1.2K


