Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Steady, Laminar Flow Between Parallel Plates

Steady, Laminar Flow Between Parallel Plates

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.

Eulerian and Lagrangian Flow Descriptions

Eulerian and Lagrangian Flow Descriptions

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...

Design Example: Creating a Hydraulic Model of a Dam Spillway

Design Example: Creating a Hydraulic Model of a Dam Spillway

Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.

Typical Model Studies

Typical Model Studies

Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.

Applications of Integration to Find Hydrostatic Pressure

Applications of Integration to Find Hydrostatic Pressure

Hydrostatic force is a fluid's total force at rest on a surface. For a horizontal surface submerged at a fixed depth, the pressure is constant and calculated as the product of fluid density, gravitational acceleration, and depth. In the case of a vertical dam wall submerged in water, this force is not evenly distributed due to the increasing pressure with depth. This variation arises from the cumulative weight of the water above each point. Integration is used to account for the continuous...

Laminar and Turbulent Flow

Laminar and Turbulent Flow

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 streamlines...

You might also read

Related Articles

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

Sort by

Same author

Generalized model for static contact angles and hysteresis on micro/nanostructured surfaces.

Soft matter·2026

Same author

Dynamic-kinetic crossovers in colloidal and multiphase systems induced by nanoscale interfacial features.

Soft matter·2025

Same author

The surface diffusivity of nanoparticles physically adsorbed at a solid-liquid interface.

Soft matter·2024

Same author

Electrochemistry Beyond Solutions: Modeling Particle Self-Crowding of Nanoparticle Suspensions.

Journal of the American Chemical Society·2024

Same author

Kinetic trapping of nanoparticles by solvent-induced interactions.

Nanoscale·2024

Same author

Toward controlling wetting hysteresis with nanostructured surfaces derived from block copolymer self-assembly.

Nanotechnology·2022

Search research articles

Related Experiment Video

Updated: Jun 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

High-order hydrodynamics via lattice Boltzmann methods.

Carlos E Colosqui¹

¹Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544, USA. colosqui@princeton.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 7, 2010

Summary

This study introduces a new method to close the Boltzmann-Bhatnagar-Gross-Krook moment hierarchy using Hermite polynomials. This approach provides an exact analytical description for lattice Boltzmann-BGK simulations of fluid dynamics under non-equilibrium conditions.

More Related Videos

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

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

Published on: April 12, 2019

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Published on: September 17, 2021

Related Experiment Videos

Last Updated: Jun 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

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

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

Published on: April 12, 2019

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Published on: September 17, 2021

Area of Science:

Computational physics
Fluid dynamics
Kinetic theory

Background:

The Boltzmann-Bhatnagar-Gross-Krook (Boltzmann-BGK) model is a fundamental kinetic model for rarefied gas dynamics.
Closure of the moment hierarchy is crucial for analytical and numerical solutions in kinetic theory.
Existing methods often involve approximations that limit applicability under non-equilibrium conditions.

Purpose of the Study:

To develop an exact analytical closure for the Boltzmann-BGK moment hierarchy.
To provide a framework for accurate lattice Boltzmann-BGK (LBBGK) simulations.
To investigate the applicability of LBBGK simulations under general non-equilibrium conditions.

Main Methods:

Projection of the distribution function onto a space spanned by N-order Hermite polynomials.
Derivation of a hierarchy of N-order partial-differential equations.
Numerical analysis using LBBGK models and direct simulation Monte Carlo (DSMC).

Main Results:

The proposed method yields an exact analytical description of hydrodynamics for LBBGK simulations.
Numerical analysis of Kolmogorov flow across a wide range of Weissenberg and Knudsen numbers was performed.
The study elucidates the applicability of LBBGK simulations under general non-equilibrium conditions.

Conclusions:

The Hermite polynomial projection method offers an exact closure for the Boltzmann-BGK moment hierarchy.
This approach enhances the accuracy and applicability of LBBGK simulations, particularly in non-equilibrium regimes.
The findings are crucial for understanding and simulating complex fluid phenomena in rarefied gases.