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

Bernoulli's Equation: Problem Solving01:16

Bernoulli's Equation: Problem Solving

1.8K
A Venturi meter is essential for measuring fluid flow rates in pipelines. It utilizes the relationship between fluid velocity and pressure described by Bernoulli's equation. When installed in a sewage system, the Venturi meter accurately determines the wastewater flow rate by measuring pressure differences.
The first step is to compute the cross-sectional areas of the pipe and the Venturi throat to analyze the pressure difference indicated by the pressure gauge. Next, the continuity equation is...
1.8K
Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

809
Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
809
Mean free path and Mean free time01:22

Mean free path and Mean free time

4.8K
Consider the gas molecules in a cylinder. They move in a random motion as they collide with each other and change speed and direction. The average of all the path lengths between collisions is known as the "mean free path."
4.8K
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

947
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 purely axial,...
947
Bernoulli's Equation for Flow Along a Streamline01:30

Bernoulli's Equation for Flow Along a Streamline

1.4K
Bernoulli's equation relates the energy conservation in a fluid moving along a streamline. The equation applies to incompressible and inviscid fluids under steady flow. For such a flow, Newton's second law is applied to a small fluid element, which experiences forces due to pressure differences, gravity, and velocity variations. The force balance leads to the following form of Bernoulli's equation:
1.4K
Bernoulli's Equation00:59

Bernoulli's Equation

14.8K
In the middle of the nineteenth century, it was observed that two trains passing each other at a high relative speed get pulled towards each other. The same occurs when two cars pass each other at a high relative speed. The reason is that the fluid pressure drops in the region where the fluid speeds up. As the air between the trains or the cars increases in speed, its pressure reduces. The pressure on the outer parts of the vehicles is still the atmospheric pressure, while the resultant...
14.8K

You might also read

Related Articles

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

Sort by
Same author

Form, shape and function: segmented blood flow in the choriocapillaris.

Scientific reports·2016
Same author

Movement of airborne contaminants in a hospital isolation room.

Journal of the Royal Society, Interface·2009
See all related articles

Related Experiment Video

Updated: Jan 3, 2026

A Microfluidic-based Hydrodynamic Trap for Single Particles
10:13

A Microfluidic-based Hydrodynamic Trap for Single Particles

Published on: January 21, 2011

17.2K

Narrow escape problem for Brownian particles in a microsphere with internal circulation.

C A Klettner1

  • 1Department of Mechanical Engineering, University College London, Torrington Place, London, WC1E 7JE, United Kingdom.

Physical Review. E
|November 28, 2019
PubMed
Summary

This study examines how internal circulation affects Brownian particle escape from a domain. Increased circulation alters escape time scaling, with implications for targeted drug delivery systems.

More Related Videos

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

9.1K
Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations
06:51

Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations

Published on: August 21, 2018

7.4K

Related Experiment Videos

Last Updated: Jan 3, 2026

A Microfluidic-based Hydrodynamic Trap for Single Particles
10:13

A Microfluidic-based Hydrodynamic Trap for Single Particles

Published on: January 21, 2011

17.2K
Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

9.1K
Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations
06:51

Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations

Published on: August 21, 2018

7.4K

Area of Science:

  • Physics
  • Applied Mathematics
  • Biomedical Engineering

Background:

  • The narrow escape problem analyzes particle diffusion out of confined spaces.
  • Internal fluid circulation can significantly alter particle transport dynamics.
  • Understanding these dynamics is crucial for applications like targeted drug delivery.

Purpose of the Study:

  • To investigate the influence of internal circulation on the narrow escape problem for a Brownian particle.
  • To identify different regimes of particle escape based on circulation strength.
  • To explore potential applications in drug delivery systems.

Main Methods:

  • A Lagrangian approach was used to model a dense Brownian particle's motion.
  • The study employed complete equations of motion to capture spatially inhomogeneous flow.
  • Simulations analyzed particle behavior under varying internal circulation strengths.

Main Results:

  • At low circulation, results align with conventional narrow escape theory.
  • Increased circulation introduces new regimes with distinct mean escape time scaling.
  • The strength of the internal circulation critically impacts particle escape dynamics.

Conclusions:

  • Internal circulation significantly modifies Brownian particle escape times.
  • The findings offer insights into optimizing particle-based drug delivery systems.
  • This research bridges fundamental physics with practical biomedical applications.