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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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Related Experiment Video

Updated: Jun 14, 2026

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics

Published on: August 27, 2013

Pulsating laminar fully developed channel and pipe flows.

Kais Haddad¹, Ozgür Ertunç, Manoranjan Mishra

¹LSTM-Erlangen, Institute of Fluid Mechanics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 7, 2010

Summary

This study analyzes pulsating laminar flows in channels and pipes. It reveals scaling laws for flow reversal and shows how flow characteristics depend on pulsation frequency.

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Area of Science:

Fluid Dynamics
Computational Fluid Dynamics

Background:

Pulsating flows are common in various engineering applications.
Understanding flow behavior under time-periodic conditions is crucial for system design.

Purpose of the Study:

To derive analytical solutions for pulsating laminar incompressible flows.
To investigate the interdependence of flow variables and scaling laws for pulsation amplitudes.
To analyze the flow reversal phenomenon in pulsating pipe and channel flows.

Main Methods:

Analytical solution using Fourier series approximation for velocity profiles.
Derivation of dimensionless parameters governing the flow.
Numerical analysis of scaling laws and flow reversal over a wide frequency range.

Main Results:

Explicit interdependence between pulsations of velocity, mass flow rate, pressure gradient, and wall shear stress established.
Scaling laws for dimensionless pulsation amplitudes analyzed as a function of dimensionless frequency.
Flow reversal conditions, duration, and amplitude quantified; two reversal locations identified in pipes and channels.

Conclusions:

Analytical and numerical insights into pulsating laminar flows provide critical data for engineering applications.
The study elucidates the complex dynamics of flow reversal, offering predictive capabilities based on frequency and amplitude.
Findings are applicable to both pipe and channel geometries, enhancing the understanding of pulsatile fluid transport.