Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

1.0K
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
1.0K
Couette Flow01:22

Couette Flow

1.3K
Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
1.3K
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

1.4K
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,...
1.4K
Kinetic Theory of an Ideal Gas01:12

Kinetic Theory of an Ideal Gas

5.3K
A mole is defined as the amount of any substance that contains as many molecules as there are atoms in exactly 12 grams of carbon-12. An Italian scientist Amedeo Avogadro (1776–1856) formed the  hypothesis that equal volumes of gas at equal pressure and temperature contain equal numbers of molecules, independent of the type of gas. Later, the hypothesis was developed to form the SI unit for measuring the amount of any substance.
The number of molecules in one mole is called...
5.3K
Poiseuille's Law and Reynolds Number01:10

Poiseuille's Law and Reynolds Number

10.1K
Any fluid in a horizontal tube can flow due to pressure differences—fluid flows from high to low pressure. The flow rate (Q) is the ratio of pressure difference and resistance through a horizontal tube. The greater the pressure difference, the higher the flow rate. The flow resistance is expressed as:
10.1K
Bernoulli's Equation for Flow Normal to a Streamline01:16

Bernoulli's Equation for Flow Normal to a Streamline

1.4K
Bernoulli's equation for flow normal to a streamline explains how pressure varies across curved streamlines due to the outward centrifugal forces induced by the fluid's curvature. The pressure is higher on the inner side of the curve, near the center of curvature, and decreases outward to balance these centrifugal forces.
The pressure difference depends on the fluid's velocity and radius of curvature. The pressure variation is minimal in flows with nearly straight streamlines. However, the...
1.4K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Suppressing viscous fingering with rotation: Linear predictions and nonlinear simulations.

Physical review. E·2026
Same author

Numerical simulation of an off-centered fluid drop in a rotating Hele-Shaw cell.

Physical review. E·2026
Same author

Resource-Efficient Continual Learning for Personalized Online Seizure Detection.

Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference·2025
Same author

Fingering stabilization and adhesion force in the lifting flow with a fluid annulus.

Physical review. E·2024
Same author

Role of interfacial rheology on fingering instabilities in lifting Hele-Shaw flows.

Physical review. E·2023
Same author

Effect of interfacial rheology on fingering patterns in rotating Hele-Shaw cells.

Physical review. E·2023

Related Experiment Video

Updated: Mar 30, 2026

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
10:03

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

Published on: October 5, 2018

8.7K

Kinetic undercooling in Hele-Shaw flows.

Pedro H A Anjos1, Eduardo O Dias1, José A Miranda1

  • 1Departamento de Física, Universidade Federal de Pernambuco, Recife, Pernambuco 50670-901, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 14, 2015
PubMed
Summary

Kinetic undercooling, linked to dynamic contact angles, influences fluid interface shapes in Hele-Shaw flow. It delays finger broadening and splitting but is crucial for tip splitting in rectangular Hele-Shaw systems.

More Related Videos

Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation
11:11

Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation

Published on: May 2, 2016

11.7K
Cryogenic Liquid Jets for High Repetition Rate Discovery Science
08:34

Cryogenic Liquid Jets for High Repetition Rate Discovery Science

Published on: May 9, 2020

3.6K

Related Experiment Videos

Last Updated: Mar 30, 2026

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
10:03

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

Published on: October 5, 2018

8.7K
Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation
11:11

Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation

Published on: May 2, 2016

11.7K
Cryogenic Liquid Jets for High Repetition Rate Discovery Science
08:34

Cryogenic Liquid Jets for High Repetition Rate Discovery Science

Published on: May 9, 2020

3.6K

Area of Science:

  • Fluid dynamics
  • Interface phenomena
  • Nonlinear analysis

Background:

  • Hele-Shaw flow research focuses on interface physics.
  • Surface tension limits curvature; kinetic undercooling limits velocity.
  • Dynamic contact angles connect kinetic undercooling to interface behavior.

Purpose of the Study:

  • Quantify kinetic undercooling's effect on fluid interfaces.
  • Analyze its influence on fingered structure morphology.
  • Investigate its role in radial and rectangular Hele-Shaw flows.

Main Methods:

  • Weakly nonlinear analysis.
  • Perturbative analysis.
  • Connecting kinetic undercooling to dynamic contact angles.

Main Results:

  • Kinetic undercooling contribution is a linear function of normal velocity.
  • It delays finger tip-broadening and tip-splitting in radial flow.
  • It is key to tip splitting in rectangular Hele-Shaw geometry.

Conclusions:

  • Kinetic undercooling modulates interface instability development.
  • Its impact varies with Hele-Shaw geometry.
  • Understanding this effect is vital for predicting fingered growth.