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

Equations of Motion: Rectangular Coordinates and Cylindrical Coordinates01:21

Equations of Motion: Rectangular Coordinates and Cylindrical Coordinates

771
Understanding the motion of particles is a fundamental aspect of classical mechanics, and the choice of the coordinate system plays a pivotal role in unraveling the complexities of their dynamics.
When a particle moves relative to an inertial frame, the equations of motion can be expressed using rectangular components. If the motion is confined to the x-y plane, the equations having the x and y coordinates only can be used to simplify the mathematical representation.
However, when particles...
771
Curvilinear Motion: Polar Coordinates01:27

Curvilinear Motion: Polar Coordinates

983
In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
The particle's location is described using a unit vector along the radial direction. Deriving the particle's position...
983
Coordination Number and Geometry02:57

Coordination Number and Geometry

19.0K
For transition metal complexes, the coordination number determines the geometry around the central metal ion. Table 1 compares coordination numbers to molecular geometry. The most common structures of the complexes in coordination compounds are octahedral, tetrahedral, and square planar.
19.0K
Eulerian and Lagrangian Flow Descriptions01:22

Eulerian and Lagrangian Flow Descriptions

1.9K
Fluid flow analysis is critical in many scientific and engineering disciplines, and two principal approaches are used to describe this flow: the Eulerian and Lagrangian methods. These methods offer different perspectives on monitoring and analyzing the motion of fluids, each with distinct advantages depending on the scenario.
The Eulerian method focuses on fixed points in space where fluid properties, such as velocity, pressure, and temperature, are observed as the fluid moves between these...
1.9K
Coordination Compounds and Nomenclature02:54

Coordination Compounds and Nomenclature

26.7K
In most main group element compounds, the valence electrons of the isolated atoms combine to form chemical bonds that satisfy the octet rule. For instance, the four valence electrons of carbon overlap with electrons from four hydrogen atoms to form CH4. The one valence electron leaves sodium and adds to the seven valence electrons of chlorine to form the ionic formula unit NaCl (Figure 1a). Transition metals do not normally bond in this fashion. They primarily form coordinate covalent bonds, a...
26.7K
Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

11.5K
The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
11.5K

You might also read

Related Articles

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

Sort by
Same author

Black Hole Spectroscopy and Tests of General Relativity with GW250114.

Physical review letters·2026
Same author

GW250114: Testing Hawking's Area Law and the Kerr Nature of Black Holes.

Physical review letters·2025
Same author

Search for Subsolar-Mass Binaries in the First Half of Advanced LIGO's and Advanced Virgo's Third Observing Run.

Physical review letters·2022
Same author

Analysis of a model for surfactant transport around a foam meniscus.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same author

Viscous froth model applied to the motion and topological transformations of two-dimensional bubbles in a channel: three-bubble case.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same author

Constraints on Cosmic Strings Using Data from the Third Advanced LIGO-Virgo Observing Run.

Physical review letters·2021
Same journal

Computational modelling distinguishes diverse contributors to aneurysmal progression in the Marfan aorta.

Proceedings. Mathematical, physical, and engineering sciences·2025
Same journal

Inferring the shape of data: a probabilistic framework for analysing experiments in the natural sciences.

Proceedings. Mathematical, physical, and engineering sciences·2023
Same journal

The Elbert range of magnetostrophic convection. I. Linear theory.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same journal

Soft wetting with (a)symmetric Shuttleworth effect.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same journal

The quantum theory of time: a calculus for q-numbers.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same journal

Integrable nonlinear evolution equations in three spatial dimensions.

Proceedings. Mathematical, physical, and engineering sciences·2022
See all related articles

Related Experiment Video

Updated: Jan 31, 2026

Synthesis of Biocompatible Liquid Crystal Elastomer Foams as Cell Scaffolds for 3D Spatial Cell Cultures
13:38

Synthesis of Biocompatible Liquid Crystal Elastomer Foams as Cell Scaffolds for 3D Spatial Cell Cultures

Published on: April 11, 2017

10.1K

Foam-liquid front motion in Eulerian coordinates.

C Torres-Ulloa1,2, S Berres3, P Grassia2

  • 1Departamento de Procesos Industriales, Universidad Católica de Temuco, Rudecindo Ortega, 02950 Temuco, Chile.

Proceedings. Mathematical, Physical, and Engineering Sciences
|January 4, 2019
PubMed
Summary
This summary is machine-generated.

This study models foam-liquid front propagation in oil reservoirs using a Hamilton-Jacobi equation. Numerical simulations confirm a concavity in the front shape, indicating an abrupt reorientation at early stages.

Keywords:
foam improved oil recoverylevel set methodspressure-driven growthsemidiscrete central-upwind scheme

More Related Videos

Preparation of Liquid Crystal Networks for Macroscopic Oscillatory Motion Induced by Light
07:56

Preparation of Liquid Crystal Networks for Macroscopic Oscillatory Motion Induced by Light

Published on: September 20, 2017

12.2K
Preparation of Expanded Chitin Foams and their Use in the Removal of Aqueous Copper
06:36

Preparation of Expanded Chitin Foams and their Use in the Removal of Aqueous Copper

Published on: February 27, 2021

4.2K

Related Experiment Videos

Last Updated: Jan 31, 2026

Synthesis of Biocompatible Liquid Crystal Elastomer Foams as Cell Scaffolds for 3D Spatial Cell Cultures
13:38

Synthesis of Biocompatible Liquid Crystal Elastomer Foams as Cell Scaffolds for 3D Spatial Cell Cultures

Published on: April 11, 2017

10.1K
Preparation of Liquid Crystal Networks for Macroscopic Oscillatory Motion Induced by Light
07:56

Preparation of Liquid Crystal Networks for Macroscopic Oscillatory Motion Induced by Light

Published on: September 20, 2017

12.2K
Preparation of Expanded Chitin Foams and their Use in the Removal of Aqueous Copper
06:36

Preparation of Expanded Chitin Foams and their Use in the Removal of Aqueous Copper

Published on: February 27, 2021

4.2K

Area of Science:

  • * Fluid dynamics
  • * Mathematical modeling
  • * Reservoir engineering

Background:

  • * Foam-liquid flow is crucial for enhanced oil recovery.
  • * Implicit front propagation modeling requires advanced numerical techniques.
  • * The 'pressure-driven growth' model provides a conceptual basis.

Purpose of the Study:

  • * To develop and solve a numerical model for foam-liquid front propagation.
  • * To compare Eulerian numerical results with Lagrangian model predictions.
  • * To analyze the front shape, orientation, and curvature.

Main Methods:

  • * Formulation of a mathematical model using Hamilton-Jacobi equations.
  • * Numerical solution via a finite volume scheme with upwind flux.
  • * Periodic reinitialization for accurate implicit front representation.
  • * Comparison with early time asymptotic analytical solutions.

Main Results:

  • * Simulation data generated for front location, normal angle, and curvature.
  • * Confirmation of a concavity in the front shape at small times.
  • * Validation of numerical model against Lagrangian predictions.

Conclusions:

  • * The numerical model accurately captures foam-liquid front dynamics.
  • * The observed concavity signifies an abrupt front reorientation.
  • * This research enhances understanding of multiphase flow in porous media.