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Related Concept Videos

General Characteristics of Pipe Flow II01:24

General Characteristics of Pipe Flow II

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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.
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Turbulent Flow01:24

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Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent...
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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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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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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.
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Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the...
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Updated: Sep 22, 2025

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole
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Dynamical landscape of transitional pipe flow.

Anna Frishman1, Tobias Grafke2

  • 1Department of Physics, Technion Israel Institute of Technology, 32000 Haifa, Israel.

Physical Review. E
|May 20, 2022
PubMed
Summary
This summary is machine-generated.

Localized turbulent puffs in pipe flow can decay, but new "antipuff" states are discovered. This research unifies pipe flow turbulence dynamics within a novel bifurcation framework.

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Area of Science:

  • Fluid dynamics
  • Nonlinear dynamics
  • Turbulence theory

Background:

  • Pipe flow exhibits a coexistence of laminar and turbulent states.
  • Localized turbulent structures called "puffs" exist at lower Reynolds numbers.
  • Puffs can decay near an edge state separating laminar and turbulent flow.

Purpose of the Study:

  • To complete the landscape of localized states in pipe flow turbulence.
  • To place these states within a unified bifurcation picture.
  • To identify new localized states and their relationship to existing ones.

Main Methods:

  • Demonstration within the Barkley model.
  • General motivation of claims.
  • Identification of antipuff and gap-edge states.

Main Results:

  • Suggestion of antipuff and gap-edge states mirroring puff dynamics.
  • Identification of laminar gaps as decaying antipuffs.
  • Unified bifurcation framework for localized states.

Conclusions:

  • The study provides a comprehensive understanding of localized states in pipe flow.
  • A novel bifurcation diagram unifies puff, antipuff, and edge states.
  • Findings offer insights into turbulence transition and localized structures.