Description
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Model theory
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Geometric mean size
The geometric mean size of a particle,
(mm), is defined as:
![{\displaystyle {\bar {d}}_{i}={\begin{cases}{\sqrt {2}}d_{1}&i=1\\\\{\sqrt {d_{i}d_{i-1}}}&1<i<n\\\\0.5d_{n-1}&i=n\\\end{cases}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c05493a506f842f4a17b1d98488b15be030726c7)
where:
is the index of the size interval, ![{\displaystyle i=\{1,2,\dots ,n\}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b56407060e49a33e38a9c001751ae6e570d7f41c)
is the number of size intervals
is the diameter of particles retained in a mesh at size interval
(mm)
- the value of
decreases as
increases, i.e.
,
= top size, ![{\displaystyle d_{n}=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/67a1d71d7c7730e3895e90b94d10fd2cc7624031)
Fraction retained and cumulative passing
Mesh series interpolation
Mass and volume flows
Excel
This section is currently under construction. Please check back later for updates and revisions.
|
Geometric mean size
Fraction retained and cumulative passing
Mesh series interpolation
Mass and volume flows
References