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Related Concept Videos

Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

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,...
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.
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...
Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
Uniform Depth Channel Flow01:27

Uniform Depth Channel Flow

Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
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...

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Related Experiment Video

Updated: Jun 28, 2026

Separating Beads and Cells in Multi-channel Microfluidic Devices Using Dielectrophoresis and Laminar Flow
09:45

Separating Beads and Cells in Multi-channel Microfluidic Devices Using Dielectrophoresis and Laminar Flow

Published on: February 4, 2011

Continuous particle separation in spiral microchannels using Dean flows and differential migration.

Ali Asgar S Bhagat1, Sathyakumar S Kuntaegowdanahalli, Ian Papautsky

  • 1Department of Electrical and Computer Engineering, University of Cincinnati, Cincinnati, OH 45221, USA.

Lab on a Chip
|October 23, 2008
PubMed
Summary

This study presents a passive microfluidic device using spiral channels to separate microparticles by size. It leverages inertial lift and Dean forces for efficient, continuous particle separation in biomedical and environmental applications.

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Last Updated: Jun 28, 2026

Separating Beads and Cells in Multi-channel Microfluidic Devices Using Dielectrophoresis and Laminar Flow
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Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics

Published on: August 27, 2013

Area of Science:

  • Biomedical Engineering
  • Environmental Science
  • Fluid Dynamics

Background:

  • Microparticle separation is crucial for biomedical and environmental applications.
  • Existing methods often require active components or complex fabrication.
  • A need exists for efficient, passive microfluidic separation techniques.

Purpose of the Study:

  • To develop and demonstrate a passive microfluidic device for size-based microparticle separation.
  • To utilize spiral microchannel geometry and Dean forces for differential particle migration.
  • To achieve complete separation of microparticles in a continuous flow system.

Main Methods:

  • Design of a passive microfluidic device with a 5-loop spiral microchannel (100 µm wide, 50 µm high).
  • Exploitation of inertial lift, viscous drag, and Dean forces for particle manipulation.
  • Experimental validation using particles of 7.32 µm and 1.9 µm at a Dean number of 0.47.

Main Results:

  • Successful, complete separation of 7.32 µm and 1.9 µm particles.
  • Demonstration of Dean forces' dual role in focusing larger particles and transposing smaller ones.
  • Formation of two distinct particle streams collected at separate outputs.

Conclusions:

  • The spiral microfluidic device offers an effective method for passive, size-based microparticle separation.
  • The device's simple planar structure facilitates fabrication and integration into micro total analysis systems (µTAS) and lab-on-a-chip (LOC) devices.
  • This technology holds promise for continuous filtration and separation applications in various fields.