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Related Concept Videos

Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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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.
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Laminar flow represents a smooth, orderly fluid motion where particles move along parallel paths, resulting in minimal mixing between layers. Streamlined particle paths characterize this flow regime and occur under conditions where viscous forces dominate over inertial forces. The distinction between laminar, transitional, and turbulent flow is primarily determined by the Reynolds number, a dimensionless quantity calculated as:
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Steady, Laminar Flow in Circular Tubes01:23

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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,...
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Related Experiment Video

Updated: Mar 2, 2026

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

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Published on: January 21, 2011

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Stable microfluidic flow focusing using hydrostatics.

Vaskar Gnyawali, Mohammadali Saremi, Michael C Kolios

    Biomicrofluidics
    |May 16, 2017
    PubMed
    Summary

    Hydrostatic pressure offers a simple, stable method for generating fluctuation-free hydrodynamically focused flows in microfluidic devices, outperforming traditional syringe pumps for sensitive applications like flow cytometry.

    Area of Science:

    • Microfluidics
    • Fluid Dynamics
    • Biotechnology

    Background:

    • Hydrodynamic focusing is crucial for microfluidic applications.
    • Conventional methods using syringe pumps often suffer from flow instability.
    • Sensitive applications require highly stable and controlled microfluidic flows.

    Purpose of the Study:

    • To introduce a simple technique for generating stable hydrodynamic focusing using hydrostatic pressure.
    • To compare the stability of hydrostatic pressure-driven flow focusing with syringe pump-driven methods.
    • To demonstrate the controllability of hydrostatic pressure-driven flow focusing.

    Main Methods:

    • Utilizing hydrostatic pressure from liquid columns to drive flow in a microfluidic device.
    • Comparing flow stability between hydrostatic pressure and syringe pump methods.

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  • Controlling flow focusing by adjusting liquid column heights.

    • Main Results:

    • Hydrostatic pressure-driven flow focusing exhibits significantly better stability than syringe pump-driven flows.
    • The hydrostatic method generates fluctuation-free focused flows.
    • Flow focusing can be precisely controlled by tuning liquid column heights.

    Conclusions:

    • Hydrostatic pressure provides a simple and highly stable method for hydrodynamic focusing.
    • This technique is well-suited for sensitive microfluidic applications, including flow cytometry.
    • The method offers accurate control over flow focusing, enabling broader microfluidic applications.