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 Experiment Videos

Lateral instability in normal viscous fingers.

R Ledesma-Aguilar1, M Quevedo-Reyes, E Corvera Poiré

  • 1Departamento de Física y Química Teórica, Facultad de Química, UNAM Ciudad Universitaria, Mexico DF 04510, Mexico.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
PubMed
Summary

We investigated the Saffman-Taylor finger instability using a phase-field model. Our findings show that dynamic perturbations, whether oscillatory or noisy, lead to a selection process in this fluid dynamics instability.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Predicting cardiac frequencies in mammals.

Scientific reports·2025
Same author

A mathematical model of fibrinogen-mediated erythrocyte-erythrocyte adhesion.

Communications biology·2023
Same author

Pulsatile parallel flow of air and a viscoelastic fluid with multiple characteristic times. An application to mucus in the trachea and the frequency of cough.

Journal of physics. Condensed matter : an Institute of Physics journal·2022
Same author

Evaporation and Electrowetting of Sessile Droplets on Slippery Liquid-Like Surfaces and Slippery Liquid-Infused Porous Surfaces (SLIPS).

Langmuir : the ACS journal of surfaces and colloids·2020
Same author

The dynamics of shapes of vesicle membranes with time dependent spontaneous curvature.

PloS one·2020
Same author

Front microrheology of the non-Newtonian behaviour of blood: scaling theory of erythrocyte aggregation by aging.

Soft matter·2017

Area of Science:

  • Fluid dynamics
  • Instability phenomena
  • Computational physics

Background:

  • The Saffman-Taylor (ST) finger is a classic example of viscous fingering in fluid dynamics.
  • Understanding the stability of the ST finger is crucial for various applications, including oil recovery and Hele-Shaw cells.
  • Low-amplitude, long-wavelength instabilities can significantly alter the behavior of the ST finger.

Purpose of the Study:

  • To investigate the low-amplitude, long-wavelength lateral instability of the Saffman-Taylor finger.
  • To analyze the effect of different dynamic perturbations on the finger's instability.
  • To observe the selection process of the instability under varying perturbation conditions.

Main Methods:

  • Utilized a phase-field model to simulate the Saffman-Taylor finger.

Related Experiment Videos

  • Introduced small dynamic perturbations to a constant pressure drop.
  • Examined two perturbation scenarios: a single oscillatory mode and temporal noise.

    • Main Results:

    • Observed a lateral instability in the Saffman-Taylor finger under dynamic perturbations.
    • Demonstrated that both oscillatory and temporal noise perturbations can trigger this instability.
    • Confirmed that the instability undergoes a selection process in both investigated scenarios.

    Conclusions:

    • The Saffman-Taylor finger is susceptible to low-amplitude, long-wavelength lateral instabilities.
    • Dynamic perturbations play a critical role in initiating and shaping these instabilities.
    • A selection mechanism governs the development of the instability, regardless of the perturbation type.