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Related Concept Videos

Single Pipe Systems01:24

Single Pipe Systems

In pipe flow analysis, problems are typically categorized into three types — Type I, Type II, and Type III — based on the known parameters and the desired outcome. Each type of problem addresses specific engineering requirements using fluid properties, pipe characteristics, and operational conditions.
In a Type I problem, fluid properties (density and viscosity), pipe characteristics (including diameter, length, and surface roughness), and the flow rate or average velocity are known. The...
Multiple Pipe Systems01:21

Multiple Pipe Systems

Multipipe systems consist of complex configurations of interconnected pipes designed to transport fluids efficiently across intricate networks. They are essential in engineering applications requiring precise control over flow distribution, pressure, and head loss. They are categorized into series, parallel, loop, and network configurations, each distinguished by unique flow characteristics and applications.
Series Configuration
In a series configuration, fluid flows sequentially from one pipe...
Major Losses in Pipes01:28

Major Losses in Pipes

When a fluid flows through a pipe, it experiences energy losses due to frictional resistance along the pipe walls, known as major losses. These energy losses result in a pressure drop, which varies based on the flow conditions — whether laminar or turbulent — and the specific physical properties of the fluid and pipe.
Fluid flow can be classified as laminar or turbulent, primarily based on the Reynolds number. This dimensionless number reflects the relative influence of inertial to viscous...
General Characteristics of Pipe Flow I01:22

General Characteristics of Pipe Flow I

Pipe flow refers to the movement of fluids within fully enclosed conduits, typically cylindrical in shape, such as water pipes or hydraulic hoses. These conduits are designed to withstand high-pressure gradients that drive fluid movement, contrasting with open-channel flows, where gravity is the primary driving force. Rectangular conduits, like air conditioning and heating ducts, generally operate at lower pressures and are less suited for high-pressure applications.
The classification of fluid...
Laminar Flow: Problem Solving01:24

Laminar Flow: Problem Solving

Laminar flow occurs when a fluid moves smoothly in parallel layers with minimal mixing and turbulence. In fluid mechanics, ensuring laminar flow within a pipe is essential for precise control of flow characteristics, especially in engineering applications. The key factor in determining whether flow remains laminar is the Reynolds number, a dimensionless quantity that depends on the fluid's velocity, density, viscosity, and the pipe's diameter. A Reynolds number of 2100 or lower indicates...
Design Example: Flow of Oil Through Circular Pipes01:25

Design Example: Flow of Oil Through Circular Pipes

Understanding fluid flow behavior through pipes is critical in fluid mechanics, especially in applications like oil transportation through pipelines. Hagen-Poiseuille's law provides an exact solution derived from the Navier-Stokes equations for steady, incompressible, and laminar flow within a circular pipe. Hagen-Poiseuille's law helps determine the necessary pressure drop across a pipeline section by determining parameters like pipe length, radius, oil viscosity, and the desired volumetric...

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Related Experiment Video

Updated: May 29, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Simplifying the complexity of pipe flow.

Dwight Barkley1

  • 1Mathematics Institute, University of Warwick, Coventry, United Kingdom. D.Barkley@warwick.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 27, 2011
PubMed
Summary

This study models transitional pipe flow using excitable and bistable dynamics. The findings reveal how turbulence intensity and mean shear drive the transition from laminar flow to fully developed turbulence.

Area of Science:

  • Fluid Dynamics
  • Turbulence Modeling

Background:

  • Transitional pipe flow exhibits complex dynamics between laminar and turbulent states.
  • Understanding this transition is crucial for various engineering applications.

Purpose of the Study:

  • To model transitional pipe flow as a one-dimensional excitable and bistable medium.
  • To capture the key features of the puff-slug transition and sustained turbulence.

Main Methods:

  • Developed continuous and discrete models based on turbulence intensity and mean shear.
  • Incorporated turbulence as a chaotic repeller in the discrete model.

Main Results:

  • The continuous model shows the puff-slug transition as a shift from excitability to bistability.

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Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow
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Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow

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Last Updated: May 29, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Design and Optimization Strategies of a High-Performance Vented Box
14:23

Design and Optimization Strategies of a High-Performance Vented Box

Published on: June 9, 2023

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow
08:25

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow

Published on: April 30, 2018

  • The discrete model accurately reproduces metastable puffs, puff splitting, slugs, and edge states.
  • Observed a continuous transition to turbulence via directed percolation and increased turbulence fraction.
  • Conclusions:

    • The excitable-bistable medium framework effectively captures transitional pipe flow dynamics.
    • The discrete model provides a robust tool for simulating and understanding turbulent transition phenomena.