MENTAL MODEL · M4544

Reynolds Number

SystemsHigh supportSystems Theory

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Version 1.0.0 · Updated 2026-07-28

CORE DEFINITION

In fluid mechanics, the Reynolds number is the ratio of inertial forces (ρv²/L) to viscous forces (μv/L²), and it is a dimensionless quantity. When the Reynolds number is small, viscous forces dominate over inertial forces, causing disturbances in the flow to be damped, resulting in stable, laminar flow. Conversely, when the Reynolds number is large, inertial forces dominate, making the flow unstable, where small perturbations can grow and develop into chaotic, irregular turbulent flow.

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In fluid mechanics, the Reynolds number is the ratio of inertial forces (ρv²/L) to viscous forces (μv/L²).

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The Reynolds number is a dimensionless number in fluid mechanics that characterizes the ratio of inertial forces to viscous forces, used to predict whether flow is laminar or turbulent.

MINIMUM ACTION

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Practice this model in one real situation:

Obtain density, velocity, characteristic length, and viscosity
Calculate Re = ρvL/μ
Compare with the critical value (approximately 2300) to determine laminar or turbulent flow
Use this to select models or designs.

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Source support: Explicit

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zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E9%9B%B7%E8%AF%BA%E6%95%B0ZH · Explicit
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