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Irrotational Flow

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 Tubes

Steady, Laminar Flow in Circular Tubes

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Steady, Laminar Flow Between Parallel Plates

Steady, Laminar Flow Between Parallel Plates

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Steady Flow of a Fluid Stream

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Gradually Varying Flow

Gradually Varying Flow

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Pressure Variation in a Fluid at Rest

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Related Experiment Video

Updated: May 27, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Oscillatory and stationary convective patterns in a reaction driven gravity current.

Orsika Miholics¹, Tamás Rica, Dezso Horváth

¹Department of Physical Chemistry and Materials Science, University of Szeged, Aradi vértanúk tere 1., Szeged, H-6720, Hungary.

The Journal of Chemical Physics

|December 2, 2011

Summary

Chemical reaction fronts form unusual cellular patterns in a thin solution layer. Polyelectrolyte mobility influences pattern evolution, switching between oscillatory and stationary states.

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Area of Science:

Chemical kinetics
Fluid dynamics
Pattern formation

Background:

Studying horizontally propagating chemical fronts in thin solution layers.
Investigating the acid-catalyzed chlorite-tetrathionate reaction system.

Purpose of the Study:

To analyze unusual cellular patterns in chemical fronts.
To understand pattern evolution influenced by polyelectrolyte-bound autocatalyst mobility.

Main Methods:

Observation of reaction fronts in a thin solution layer.
Analysis of pattern formation under varying polyelectrolyte concentrations.

Main Results:

Unusual cellular patterns observed in the chemical fronts.
Oscillatory and stationary patterns emerge due to reaction front and gravity current interaction.
Polyelectrolyte concentration acts as a bifurcation parameter controlling pattern switching.

Conclusions:

Polyelectrolyte mobility significantly impacts chemical front pattern formation.
Gravity currents play a crucial role in developing oscillatory and stationary patterns.
The study reveals a novel mechanism for pattern control in chemical reactions.