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

Two touching spherical drops in uniaxial extensional flow: analytic solution to the creeping flow problem.

Fabio Baldessari1, L Gary Leal

  • 1Department of Chemical Engineering, University of California, Santa Barbara, USA.

Journal of Colloid and Interface Science
|July 13, 2005
PubMed
Summary

We analyzed creeping motion of two touching spherical drops in extensional flow. Our solution precisely calculates forces and internal flow, aiding understanding of droplet coalescence and film drainage.

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

Petsev et al. Reply.

Physical review letters·2022
Same author

Flow-Induced Concentration Nonuniformity and Shear Banding in Entangled Polymer Solutions.

Physical review letters·2021
Same author

Universal Gas Adsorption Mechanism for Flat Nanobubble Morphologies.

Physical review letters·2020
Same author

Transient surface patterns during adhesion and coalescence of thin liquid films.

Soft matter·2020
Same author

Probing flow-induced nanostructure of complex fluids in arbitrary 2D flows using a fluidic four-roll mill (FFoRM).

Scientific reports·2018
Same author

Coupling discrete and continuum concentration particle models for multiscale and hybrid molecular-continuum simulations.

The Journal of chemical physics·2017

Area of Science:

  • Fluid dynamics
  • Multiphase flow
  • Interfacial phenomena

Background:

  • Understanding droplet interactions is crucial in various industrial processes.
  • The behavior of touching droplets in extensional flow presents complex fluid dynamics challenges.
  • Previous models often simplify the interaction or neglect internal flow dynamics.

Purpose of the Study:

  • To provide an exact analytical solution for the creeping motion of two touching spherical drops in a uniaxial extensional flow.
  • To determine the forces acting on each drop and characterize internal flow patterns.
  • To assess the significance of internal recirculating flow on film drainage during droplet coalescence.

Main Methods:

  • Utilized tangent sphere coordinates for an exact mathematical formulation.

Related Experiment Videos

  • Applied the solution to the specific case of two equal-sized spherical drops.
  • Analyzed the flow field to quantify forces and internal flow magnitude.

    • Main Results:

    • Derived an exact result for the equal and opposite forces acting along the line of centers for two touching drops.
    • Quantified the magnitude of internal recirculating flow near the rear stagnation point.
    • Established a basis for evaluating the role of internal flow in film drainage for nearly touching drops.

    Conclusions:

    • The developed analytical solution accurately describes the creeping flow of two touching drops.
    • The findings offer critical insights into the forces and internal hydrodynamics governing droplet interactions.
    • This work is particularly relevant for understanding the initial stages of droplet coalescence when capillary number (Ca) is much less than 1.