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General Characteristics of Pipe Flow II

General Characteristics of Pipe Flow II

When fluid enters a pipe, it first passes through the entrance region, where the velocity profile adjusts due to viscous effects. In this region, a boundary layer forms along the pipe walls and grows until it fully occupies the pipe's cross-section. Once the boundary layer merges, the flow becomes fully developed, with a steady velocity profile that remains consistent along the pipe's length.
The distance to reach a fully developed flow is called the entrance length and depends on the flow...

Major Losses in Pipes

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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 I

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.
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In pipe systems, minor losses refer to energy losses arising from components such as valves, bends, fittings, expansions, and other features that disrupt the steady flow of fluid. These disturbances cause energy dissipation through turbulence and resistance, which engineers quantify to manage system efficiency effectively.
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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.
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Laminar flow represents a smooth, orderly fluid motion where particles move along parallel paths, resulting in minimal mixing between layers. Streamlined particle paths characterize this flow regime and occur under conditions where viscous forces dominate over inertial forces. The distinction between laminar, transitional, and turbulent flow is primarily determined by the Reynolds number, a dimensionless quantity calculated as:

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Related Experiment Video

Updated: May 18, 2026

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

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

Published on: April 30, 2018

Edge state in pipe flow experiments.

A de Lozar¹, F Mellibovsky, M Avila

¹Max Planck Institute for Dynamics and Self-Organization, 37073 Göttingen, Germany. adelozar@googlemail.com

Physical Review Letters

|September 26, 2012

Summary

Scientists confirmed a chaotic "edge state" in pipe flows, organizing turbulence transitions. This finding, observed in lab experiments, suggests potential for turbulence control and validates theories on unstable flow solutions.

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Area of Science:

Fluid dynamics
Chaos theory
Experimental physics

Background:

Numerical studies suggest pipe and shear flows exhibit a chaotic attractor, termed an edge state, organizing laminar-turbulent transitions.
This edge state is hypothesized to mediate the transition process between flow regimes.

Purpose of the Study:

To experimentally confirm the existence of the edge state in laboratory pipe flows.
To investigate the role of the edge state in turbulence dynamics and control.
To identify and characterize unstable traveling wave solutions underlying the flow.

Main Methods:

Laboratory experiments were conducted on pipe and shear flows.
Turbulence decay dynamics were observed and analyzed.
Flow fields were investigated to identify unstable traveling wave solutions.

Main Results:

The existence of the edge state was experimentally confirmed in laboratory settings.
The edge state was observed to govern turbulence decay dynamics.
Two unstable traveling wave solutions were identified within the experimental flow fields.

Conclusions:

Experimental evidence supports the existence and role of edge states in organizing turbulence.
The edge state's influence on turbulence decay highlights its potential for turbulence control applications.
The discovery of unstable traveling waves corroborates theoretical suggestions about their role in flow stability and turbulence organization.