sphericity
sphericity
English Definitions:
sphericity, sphericalness, globosity, globularness, rotundity, rotundness (noun)
the roundness of a 3-dimensional object
sphericity (Noun)
The quality of being spherical, being a sphere.
sphericity (Noun)
The ratio of the surface area of a given particle to the surface area of a sphere with the same volume.
Sphericity
Sphericity is a measure of how spherical an object is. As such, it is a specific example of a compactness measure of a shape. Defined by Wadell in 1935, the sphericity, of a particle is: the ratio of the surface area of a sphere to the surface area of the particle: where is volume of the particle and is the surface area of the particle. The sphericity of a sphere is 1 and, by the isoperimetric inequality, any particle which is not a sphere will have sphericity less than 1.
Sphericity
Sphericity is a measure of how closely the shape of an object resembles that of a perfect sphere. For example, the sphericity of the balls inside a ball bearing determines the quality of the bearing, such as the load it can bear or the speed at which it can turn without failing. Sphericity is a specific example of a compactness measure of a shape. Defined by Wadell in 1935, the sphericity, Ψ {\displaystyle \Psi } , of a particle is the ratio of the surface area of a sphere with the same volume as the given particle to the surface area of the particle:
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