"Archimedes number" meaning in All languages combined

See Archimedes number on Wiktionary

Noun [English]

Forms: Archimedes numbers [plural]
Etymology: Named after Archimedes of Syracuse (c. 287 – c. 212 BC), a Greek mathematician, physicist, engineer, inventor, and astronomer. Head templates: {{en-noun}} Archimedes number (plural Archimedes numbers)
  1. (fluid dynamics) A dimensionless number used to determine the motion of fluids due to density differences, defined as the ratio of gravitational forces to viscous forces: Ar=(gL³(ρ-ρ_ℓ)/(ρ_ℓ))/(ν²)=(gL³ρ_ℓ(ρ-ρ_ℓ))/(μ²)\, where g is the local external field, L is the characteristic length of body, (ρ-ρ_ℓ)/(ρ_ℓ) is the submerged specific gravity, ρ_ℓ is the density of the fluid, ρ is the density of the body, ν=μ/(ρ_ℓ) is the kinematic viscosity, and μ is the dynamic viscosity. Wikipedia link: Archimedes of Syracuse Categories (topical): Fluid dynamics

Inflected forms

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      "glosses": [
        "A dimensionless number used to determine the motion of fluids due to density differences, defined as the ratio of gravitational forces to viscous forces: Ar=(gL³(ρ-ρ_ℓ)/(ρ_ℓ))/(ν²)=(gL³ρ_ℓ(ρ-ρ_ℓ))/(μ²)\\, where g is the local external field, L is the characteristic length of body, (ρ-ρ_ℓ)/(ρ_ℓ) is the submerged specific gravity, ρ_ℓ is the density of the fluid, ρ is the density of the body, ν=μ/(ρ_ℓ) is the kinematic viscosity, and μ is the dynamic viscosity."
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        "(fluid dynamics) A dimensionless number used to determine the motion of fluids due to density differences, defined as the ratio of gravitational forces to viscous forces: Ar=(gL³(ρ-ρ_ℓ)/(ρ_ℓ))/(ν²)=(gL³ρ_ℓ(ρ-ρ_ℓ))/(μ²)\\, where g is the local external field, L is the characteristic length of body, (ρ-ρ_ℓ)/(ρ_ℓ) is the submerged specific gravity, ρ_ℓ is the density of the fluid, ρ is the density of the body, ν=μ/(ρ_ℓ) is the kinematic viscosity, and μ is the dynamic viscosity."
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        "A dimensionless number used to determine the motion of fluids due to density differences, defined as the ratio of gravitational forces to viscous forces: Ar=(gL³(ρ-ρ_ℓ)/(ρ_ℓ))/(ν²)=(gL³ρ_ℓ(ρ-ρ_ℓ))/(μ²)\\, where g is the local external field, L is the characteristic length of body, (ρ-ρ_ℓ)/(ρ_ℓ) is the submerged specific gravity, ρ_ℓ is the density of the fluid, ρ is the density of the body, ν=μ/(ρ_ℓ) is the kinematic viscosity, and μ is the dynamic viscosity."
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        "(fluid dynamics) A dimensionless number used to determine the motion of fluids due to density differences, defined as the ratio of gravitational forces to viscous forces: Ar=(gL³(ρ-ρ_ℓ)/(ρ_ℓ))/(ν²)=(gL³ρ_ℓ(ρ-ρ_ℓ))/(μ²)\\, where g is the local external field, L is the characteristic length of body, (ρ-ρ_ℓ)/(ρ_ℓ) is the submerged specific gravity, ρ_ℓ is the density of the fluid, ρ is the density of the body, ν=μ/(ρ_ℓ) is the kinematic viscosity, and μ is the dynamic viscosity."
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}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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