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• Archimedes_number abstract "The Archimedes number (Ar) (not to be confused with Archimedes' constant, π), named after the ancient Greek scientist Archimedes is used to determine the motion of fluids due to density differences. It is a dimensionless number defined as the ratio of gravitational forces to viscous forces and has the form:where: g = gravitational acceleration (9.81 m/s²), ρl = density of the fluid, ρ = density of the body, = dynamic viscosity, L = characteristic length of body, mWhen analyzing potentially mixed convection of a liquid, the Archimedes number parametrizes the relative strength of free and forced convection. When Ar >> 1 natural convection dominates, i.e. less dense bodies rise and denser bodies sink, and when Ar << 1 forced convection dominates.When the density difference is due to heat transfer (e.g. fluid being heated and causing a temperature difference between different parts of the fluid), then we may writewhere: is the volumetric expansion coefficient is temperature subscript 0 refers to a reference point within the fluid bodyDoing this gives the Grashof number, i.e. the Archimedes and Grashof numbers are equivalent but suited to describing situations where there is a material difference in density and heat transfer causes the density difference respectively. The Archimedes number is related to both the Richardson number and Reynolds number via".
• Archimedes_number wikiPageID "342113".
• Archimedes_number wikiPageRevisionID "560810128".
• Archimedes_number hasPhotoCollection Archimedes_number.
• Archimedes_number subject Category:Archimedes.
• Archimedes_number subject Category:Dimensionless_numbers_of_fluid_mechanics.
• Archimedes_number subject Category:Fluid_dynamics.
• Archimedes_number type Abstraction100002137.
• Archimedes_number type Amount105107765.
• Archimedes_number type Attribute100024264.
• Archimedes_number type DimensionlessNumbersOfFluidMechanics.
• Archimedes_number type Magnitude105090441.
• Archimedes_number type Number105121418.
• Archimedes_number type Property104916342.
• Archimedes_number comment "The Archimedes number (Ar) (not to be confused with Archimedes' constant, π), named after the ancient Greek scientist Archimedes is used to determine the motion of fluids due to density differences.".
• Archimedes_number label "Archimedes number".
• Archimedes_number label "Archimedes-Zahl".
• Archimedes_number label "Getal van Archimedes".
• Archimedes_number label "Liczba Archimedesa".
• Archimedes_number label "Nombre d'Archimède".
• Archimedes_number label "Numero di Archimede".
• Archimedes_number label "Número de Arquimedes".
• Archimedes_number label "Número de Arquímedes".
• Archimedes_number label "Число Архимеда".
• Archimedes_number label "عدد أرخميدس".
• Archimedes_number label "阿基米德数".
• Archimedes_number sameAs Archimedes-Zahl.
• Archimedes_number sameAs Número_de_Arquímedes.
• Archimedes_number sameAs Nombre_d'Archimède.
• Archimedes_number sameAs Numero_di_Archimede.
• Archimedes_number sameAs Getal_van_Archimedes.
• Archimedes_number sameAs Liczba_Archimedesa.
• Archimedes_number sameAs Número_de_Arquimedes.
• Archimedes_number sameAs m.01y70w.
• Archimedes_number sameAs Q634307.
• Archimedes_number sameAs Q634307.
• Archimedes_number sameAs Archimedes_number.
• Archimedes_number wasDerivedFrom Archimedes_number?oldid=560810128.
• Archimedes_number isPrimaryTopicOf Archimedes_number.