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 Flow of a Fluid Stream01:27

Steady Flow of a Fluid Stream

Consider a control volume, such as a pipe with solid boundaries, through which fluid flows and changes direction due to the impulse exerted by the resulting force from the pipe walls. In steady flow, the mass of fluid entering the control volume at a given time, t, with velocity v1, is equal to the mass leaving after infinitesimal time dt, with velocity v2.
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...
Euler's Equations of Motion01:28

Euler's Equations of Motion

In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains uniform across...
Capillarity in Fluid01:19

Capillarity in Fluid

Capillarity describes the movement of liquid in small spaces without external forces acting on it. The capillarity is driven by surface tension and adhesive interactions between the liquid and surrounding solid surfaces. This effect is often seen in narrow tubes, porous materials, and fine particles.
Surface tension is crucial to capillarity. It results from cohesive forces between liquid molecules at the liquid-air boundary, forming a skin that resists external forces. When the capillary tube...
Steady, Laminar Flow Between Parallel Plates01:17

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.
Laminar and Turbulent Flow01:07

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...
Couette Flow01:22

Couette Flow

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...

You might also read

Related Articles

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

Sort by
Same author

Electrostriction-driven phase instability enables giant pseudo-piezoelectricity in Hf<sub>0.5</sub>Zr<sub>0.5</sub>O<sub>2X</sub>.

Science advances·2026
Same author

Oxygen-defective electrostrictors for soft electromechanics.

Science advances·2024
Same author

Acoustic radiation force on a heated spherical particle in a fluid including scattering and microstreaming from a standing ultrasound wave.

Physical review. E·2023
Same author

Acoustic radiation force on a spherical thermoviscous particle in a thermoviscous fluid including scattering and microstreaming.

Physical review. E·2023
Same author

Theory and modeling of nonperturbative effects in thermoviscous acoustofluidics.

Physical review. E·2023
Same author

Transition from Boundary-Driven to Bulk-Driven Acoustic Streaming Due to Nonlinear Thermoviscous Effects at High Acoustic Energy Densities.

Physical review letters·2023

Related Experiment Video

Updated: May 28, 2026

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
12:26

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics

Published on: August 27, 2013

Acoustofluidics 1: Governing equations in microfluidics.

Henrik Bruus1

  • 1Department of Micro- and Nanotechnology, Technical University of Denmark DTU Nanotech, Kongens Lyngby, Denmark.

Lab on a Chip
|October 21, 2011
PubMed
Summary
This summary is machine-generated.

This tutorial introduces microfluidic governing equations and basic flow solutions. It also presents equivalent circuit modeling for calculating flow rates in microfluidic networks.

More Related Videos

Fabrication and Operation of Acoustofluidic Devices Supporting Bulk Acoustic Standing Waves for Sheathless Focusing of Particles
10:14

Fabrication and Operation of Acoustofluidic Devices Supporting Bulk Acoustic Standing Waves for Sheathless Focusing of Particles

Published on: March 6, 2016

Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels
08:32

Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels

Published on: January 28, 2022

Related Experiment Videos

Last Updated: May 28, 2026

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
12:26

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics

Published on: August 27, 2013

Fabrication and Operation of Acoustofluidic Devices Supporting Bulk Acoustic Standing Waves for Sheathless Focusing of Particles
10:14

Fabrication and Operation of Acoustofluidic Devices Supporting Bulk Acoustic Standing Waves for Sheathless Focusing of Particles

Published on: March 6, 2016

Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels
08:32

Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels

Published on: January 28, 2022

Area of Science:

  • Microfluidics
  • Acoustofluidics
  • Ultrasonic Standing Waves

Background:

  • Microfluidic systems are crucial for cell and particle manipulation.
  • Understanding fluid dynamics is fundamental for microfluidic device design.
  • Acoustofluidics utilizes ultrasonic forces for precise control.

Purpose of the Study:

  • To establish the governing equations for microfluidics.
  • To present basic flow solutions relevant to microfluidic systems.
  • To introduce equivalent circuit modeling for microfluidic networks.

Main Methods:

  • Derivation of fundamental microfluidic equations.
  • Analysis of simplified fluid flow scenarios.
  • Application of electrical circuit analogies to fluidic networks.

Main Results:

  • Governing equations for microfluidic systems are defined.
  • Illustrative examples of basic flow behaviors are provided.
  • A method for flow rate determination using equivalent circuits is detailed.

Conclusions:

  • This foundational part lays the groundwork for advanced acoustofluidic applications.
  • The presented methods are essential for designing and analyzing microfluidic devices.
  • Equivalent circuit modeling offers a simplified approach to understanding complex flow dynamics.