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Related Concept Videos

Irrotational Flow01:28

Irrotational Flow

Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

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 purely axial,...
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 Flow01:27

Laminar Flow

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:
Turbulent Flow01:24

Turbulent Flow

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 spots,...
General Characteristics of Pipe Flow II01:24

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.
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Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
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Low frequency oscillatory flow in a rotating curved pipe.

Hua-Jun Chen1, Ben-Zhao Zhang, Xiao-Yan Su

  • 1Department of Mechanics, Zhejiang University, Hangzhou 310027, China.

Journal of Zhejiang University. Science
|July 16, 2003
PubMed
Summary

Rotation significantly alters low-frequency oscillatory flow in curved pipes, creating distinct flow patterns and secondary vortices. These effects depend on Coriolis and centrifugal forces and pressure gradients.

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Area of Science:

  • Fluid dynamics
  • Physics of rotating systems

Background:

  • Curved pipe flow is complex, influenced by centrifugal forces.
  • Rotation introduces Coriolis forces, further modifying flow behavior.
  • Understanding oscillatory flow is crucial for various engineering applications.

Purpose of the Study:

  • To investigate low-frequency oscillatory flow in a rotating curved pipe.
  • To analyze the impact of rotation on flow characteristics.
  • To determine the relationship between flow parameters and forces.

Main Methods:

  • Utilized the method of biparameter perturbation.
  • Obtained perturbation solutions up to the second order.
  • Examined the effects of rotation on oscillatory flow.

Main Results:

  • Identified significant differences between rotating and non-rotating curved pipe flow.
  • Observed the potential formation of four secondary vortices per cycle.
  • Found axial velocity and wall shear stress distributions depend on force ratios and pressure gradients.

Conclusions:

  • Rotation fundamentally changes oscillatory flow in curved pipes.
  • The interplay between Coriolis, centrifugal forces, and pressure gradients governs flow behavior.
  • The study provides insights into complex fluid dynamics in rotating systems.