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Related Concept Videos

Typical Model Studies01:30

Typical Model Studies

340
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.
340
Bernoulli's Equation for Flow Along a Streamline01:30

Bernoulli's Equation for Flow Along a Streamline

640
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:
640
Bernoulli's Equation for Flow Normal to a Streamline01:16

Bernoulli's Equation for Flow Normal to a Streamline

551
Bernoulli's equation for flow normal to a streamline explains how pressure varies across curved streamlines due to the outward centrifugal forces induced by the fluid's curvature. The pressure is higher on the inner side of the curve, near the center of curvature, and decreases outward to balance these centrifugal forces.
The pressure difference depends on the fluid's velocity and radius of curvature. The pressure variation is minimal in flows with nearly straight streamlines.
551
Design Example: Creating a Hydraulic Model of a Dam Spillway01:21

Design Example: Creating a Hydraulic Model of a Dam Spillway

122
Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
122
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

145
Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is...
145
Steady Flow of a Fluid Stream01:27

Steady Flow of a Fluid Stream

249
Consider a control volume, such as a pipe with solid boundaries, through which fluid flows and changes direction due to the impulse exerted by the resulting force from the pipe walls. In steady flow, the mass of fluid entering the control volume at a given time, t, with velocity v1, is equal to the mass leaving after infinitesimal time dt, with velocity v2.
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...
249

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A Microfluidic Model of Biomimetically Breathing Pulmonary Acinar Airways
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An ODE-based swift and dynamic sewer airflow model.

Tao Shi1, Jiuling Li1, Jingyu Ge1

  • 1Australian Centre for Water and Environmental Biotechnology (formerly AWMC), The University of Queensland, St. Lucia, Brisbane 4072, QLD, Australia.

Water Research
|January 9, 2025
PubMed
Summary
This summary is machine-generated.

A new swift dynamic airflow model accurately predicts sewer ventilation, significantly reducing computation time. This efficient model aids in managing sewer odour and corrosion.

Keywords:
Airflow modelCorrosionDigital twinsNavier-stokes equationsOdourSewer

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Area of Science:

  • Environmental Engineering
  • Fluid Dynamics
  • Computational Modeling

Background:

  • Sewer network ventilation is crucial for mitigating odour and corrosion.
  • Existing dynamic airflow models are accurate but computationally intensive, limiting practical application.
  • A need exists for efficient models to predict in-sewer dynamic airflows.

Purpose of the Study:

  • To develop a swift dynamic airflow model for sewer networks.
  • To simplify complex Navier-Stokes Equations (NSE) for efficient airflow prediction.
  • To provide a computationally efficient tool for sewer ventilation design.

Main Methods:

  • Derived a dynamic airflow model using ordinary differential equations (ODE) by simplifying the 1D NSE.
  • Validated the ODE model against comprehensive datasets from a pilot sewer.
  • Applied the calibrated ODE model to simulated sewer networks under various ventilation scenarios.

Main Results:

  • The ODE model achieved high-fidelity predictions comparable to NSE.
  • Computational time was reduced by two orders of magnitude compared to traditional models.
  • Demonstrated accuracy, robustness, and efficiency in natural and forced ventilation scenarios.

Conclusions:

  • The swift dynamic airflow model offers a computationally efficient solution for sewer ventilation design.
  • The model supports effective odour and corrosion management in sewer systems.
  • This approach enhances the practical application of airflow modeling in environmental engineering.