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Related Concept Videos

Laminar Flow01:27

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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General Characteristics of Pipe Flow II01:24

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When fluid enters a pipe, it first passes through the entrance region, where the velocity profile adjusts due to viscous effects. In this region, a boundary layer forms along the pipe walls and grows until it fully occupies the pipe's cross-section. Once the boundary layer merges, the flow becomes fully developed, with a steady velocity profile that remains consistent along the pipe's length.
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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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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...
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Couette Flow01:22

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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...
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Turbulent Flow01:24

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Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent...
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Related Experiment Video

Updated: Apr 5, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
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The Diffusion of Passive Tracers in Laminar Shear Flow

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Incomplete mixing and reactions in laminar shear flow.

A Paster1, T Aquino2, D Bolster2

  • 1School of Mechanical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 15, 2015
PubMed
Summary
This summary is machine-generated.

Nonuniform flows can initially slow reaction rates due to incomplete mixing, similar to diffusive systems. However, sufficiently strong shear effects can eventually enhance mixing, leading to a reduced effective reaction rate over time.

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Last Updated: Apr 5, 2026

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Area of Science:

  • Chemical Engineering
  • Fluid Dynamics
  • Reaction Kinetics

Background:

  • Incomplete mixing of reactive solutes reduces reaction rates compared to ideal conditions.
  • Diffusive systems can exhibit reactant segregation, further decreasing reaction efficiency.
  • Nonuniform flows have the potential to enhance mixing between solutes.

Purpose of the Study:

  • Investigate if nonuniform flows can overcome incomplete mixing effects.
  • Determine the conditions under which enhanced mixing occurs.
  • Analyze the impact of laminar pure shear reactive flow on mixing and reaction rates.

Main Methods:

  • Developed a Lagrangian random walk method.
  • Employed a semianalytical solution approach.
  • Modeled a laminar pure shear reactive flow system.

Main Results:

  • Weak shear effects lead to initial incomplete mixing and slowed reaction rates.
  • As shear strength increases, mixing is enhanced over time.
  • The system eventually behaves as well-mixed, but with a reduced effective reaction rate.

Conclusions:

  • Sufficiently strong shear is crucial to counteract incomplete mixing effects.
  • The time scale for recovery depends on the shear strength.
  • Nonuniform flows can reconcile mixing and reaction kinetics, albeit with modified rates.