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

298
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.
298
Distribution of Molecular Speeds01:27

Distribution of Molecular Speeds

4.1K
The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
4.1K
Couette Flow01:22

Couette Flow

403
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...
403
Laminar and Turbulent Flow01:07

Laminar and Turbulent Flow

9.0K
Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the...
9.0K
Eulerian and Lagrangian Flow Descriptions01:22

Eulerian and Lagrangian Flow Descriptions

1.5K
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...
1.5K
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

326
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...
326

You might also read

Related Articles

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

Sort by
Same author

Equilibrium-distribution-function-based mesoscopic finite-difference methods for partial differential equations: Modeling and analysis.

Physical review. E·2026
Same author

Identification and regulatory mechanism analysis of macrophage-related key genes in diabetic nephropathy.

Diabetology & metabolic syndrome·2026
Same author

Molecular Insights into the Regulatory Mechanisms Mediated by Hypoxia-Conditioned Skeletal Muscle Exosomal miRNAs.

Biomarker insights·2026
Same author

Wetting boundary scheme implemented in three-dimensional phase-field lattice Boltzmann model with large density ratios and complex solid boundaries.

Physical review. E·2026
Same author

Phase-field-based lattice Boltzmann method for the transport of insoluble surfactant in two-phase flows.

Physical review. E·2025
Same author

Endoscopic retrograde cholangiopancreatography combined with peroral choledochoscope for the treatment of complete bile duct rupture.

Endoscopy·2025

Related Experiment Video

Updated: Aug 28, 2025

Author Spotlight: Optimization of Airflow Velocities in Battery Cooling Systems for Enhanced Thermal Performance and Reduced Energy Consumption
10:36

Author Spotlight: Optimization of Airflow Velocities in Battery Cooling Systems for Enhanced Thermal Performance and Reduced Energy Consumption

Published on: November 3, 2023

1.7K

Consistent and conservative phase-field-based lattice Boltzmann method for incompressible two-phase flows.

Chengjie Zhan1, Zhenhua Chai1,2,3, Baochang Shi1,2,3

  • 1School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China.

Physical Review. E
|September 16, 2022
PubMed
Summary

This study introduces a novel, consistent, and conservative phase-field model for incompressible two-phase flows, enhanced by a lattice Boltzmann method. The new model ensures mass and momentum conservation, proving robust for complex fluid dynamics simulations.

More Related Videos

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow
08:25

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow

Published on: April 30, 2018

7.3K
Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

12.9K

Related Experiment Videos

Last Updated: Aug 28, 2025

Author Spotlight: Optimization of Airflow Velocities in Battery Cooling Systems for Enhanced Thermal Performance and Reduced Energy Consumption
10:36

Author Spotlight: Optimization of Airflow Velocities in Battery Cooling Systems for Enhanced Thermal Performance and Reduced Energy Consumption

Published on: November 3, 2023

1.7K
Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow
08:25

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow

Published on: April 30, 2018

7.3K
Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

12.9K

Area of Science:

  • Computational fluid dynamics
  • Multiphase flow modeling
  • Phase-field methods

Background:

  • Incompressible two-phase flows present challenges in accurately modeling mass and momentum transport.
  • Existing phase-field models often lack full consistency and conservation properties.
  • Lattice Boltzmann methods offer a promising approach for simulating complex fluid phenomena.

Purpose of the Study:

  • To develop a general consistent and conservative phase-field model for incompressible two-phase flows.
  • To formulate a lattice Boltzmann method that accurately recovers this advanced phase-field model.
  • To validate the robustness and accuracy of the proposed method for various complex flow scenarios.

Main Methods:

  • Reformulation of mass and momentum fluxes in Navier-Stokes equations for consistency.
  • Development of a lattice Boltzmann method with direct Taylor expansion recovery.
  • Introduction of statistical variables to evaluate incompressibility and mass conservation.
  • Numerical investigation of droplet deformation, Poiseuille flow, droplet spreading, Rayleigh-Taylor instability, rising bubble, and dam break.

Main Results:

  • The developed lattice Boltzmann method accurately recovers the consistent and conservative phase-field model.
  • An additional force term was identified in the lattice Boltzmann method, improving accuracy.
  • Quantitative evaluations demonstrated superior accuracy in preserving incompressibility and mass conservation.
  • Numerical simulations showed excellent agreement with analytical solutions for benchmark cases.
  • The method proved robust for complex two-phase flows, including high Reynolds numbers and large density ratios.

Conclusions:

  • The proposed consistent and conservative phase-field model, coupled with the lattice Boltzmann method, provides a robust and accurate framework for simulating incompressible two-phase flows.
  • This approach enhances the fidelity of simulations by ensuring fundamental conservation laws are met.
  • The method's ability to handle complex phenomena like instabilities and large density ratios makes it valuable for diverse fluid dynamics applications.