Reynolds Number

The Reynolds number is a dimensionless quantity that compares inertial and viscous forces in a fluid, helping predict how flow will behave. It is calculated as Re = ρvL/μ, where ρ is density, v is characteristic velocity, L is characteristic length, and μ is dynamic viscosity; low values indicate viscous-dominated flow, while high values indicate stronger inertial effects and a greater likelihood of turbulence. Engineers use the Reynolds number to distinguish laminar, transitional, and turbulent regimes and to compare flows across different sizes, speeds, and fluids. This supports pipe design, drag estimation, heat-transfer analysis, and scaled experiments.

Reynolds Number - Related Videos

Education

JoVE Core - Physics

Poiseuille's Law and Reynolds Number

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2025

Any fluid in a horizontal tube can flow due to pressure differences—fluid flows from high to low pressure. The flow rate (Q) is the ratio of pressure difference and resistance through a horizontal tube. The greater the pressure difference, the higher the flow rate. The flow resistance is expressed as: When combined with the flow rate (Q), this relation gives Poiseuille's law for the laminar flow of an incompressible fluid in a tube. All factors that affect the flow rate, except pressure, are...

Reynolds Transport Theorem

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2025

The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit mass.

Research

JoVE Journal - Neuroscience

Isolation and Expansion of the Adult Mouse Neural Stem Cells Using the Neurosphere Assay

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Cited by 113 •

2010

This video protocol demonstrates the neurosphere assay method to generate and expand neural stem cells from the adult mouse periventricular region, and provides technical insights to ensure one can achieve reproducible neurosphere cultures.

Cross Cylindrical Flow: Measuring Pressure Distribution and Estimating Drag Coefficients

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2023

Source: David Guo, College of Engineering, Technology, and Aeronautics (CETA), Southern New Hampshire University (SNHU), Manchester, New Hampshire The pressure distributions and drag estimations for cross cylindrical flow have been investigated for centuries. By ideal inviscid potential flow theory, the pressure distribution around a cylinder is vertically symmetric. The pressure distribution upstream and downstream of the cylinder is also symmetric, which results in a zero-net drag force.

Turbulence Sphere Method: Evaluating Wind Tunnel Flow Quality

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2023

Source: Jose Roberto Moreto and Xiaofeng Liu, Department of Aerospace Engineering, San Diego State University, San Diego, CA Wind tunnel tests are useful in the design of vehicles and structures that are subjected to airflow during their use. Wind tunnel data are generated by applying a controlled air flow to a model of the object being studied. The test model usually has a similar geometry but is a smaller scale compared to the full-sized object. To ensure accurate and useful data is collected...

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